%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.30", %%% date = "15 January 2025", %%% time = "08:07:57 MST", %%% filename = "mathcomp1970.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "51699 29521 117496 1177694", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Mathematics of %%% Computation, Mathematical Tables and Aids %%% to Computation, Mathematical Tables and %%% Other Aids to Computation", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications for the decade 1970--1979 in %%% the American Mathematical Society journals %%% Mathematics of Computation (ISSN 0025-5718 %%% (print), ISSN 1088-6842 (electronic), CODEN %%% MCMPAF), which began publishing in January %%% 1960, as the successor to Mathematical %%% Tables and Other Aids to Computation (ISSN %%% 0891-6837, CODEN MTTCAS) (October 1943 -- %%% December 1959), which in turn succeeded %%% Mathematical Tables and Aids to Computation %%% (January 1943 -- July 1943). %%% %%% At version 2.00, the large number of %%% publications in these journals required the %%% splitting of the original file, %%% mathcomp.bib, into decade-specific files, %%% mathcomp19xy.bib, and the withdrawal of the %%% mathcomp.* files. %%% %%% The journal has a World-Wide Web site at %%% %%% http://www.ams.org/mcom/ %%% %%% It provides tables of contents data for %%% 1996--date. %%% %%% There is also complete coverage of all %%% journal issues with full text available to %%% members of subscribing institutions in the %%% JSTOR archive at %%% %%% http://www.jstor.org/journals/08916837.html %%% %%% At version 2.30, the year coverage looked %%% like this: %%% %%% 1962 ( 1) 1974 ( 114) 1986 ( 0) %%% 1963 ( 0) 1975 ( 124) 1987 ( 0) %%% 1964 ( 0) 1976 ( 87) 1988 ( 0) %%% 1965 ( 0) 1977 ( 95) 1989 ( 0) %%% 1966 ( 0) 1978 ( 112) 1990 ( 0) %%% 1967 ( 0) 1979 ( 113) 1991 ( 0) %%% 1969 ( 1) 1981 ( 0) 1993 ( 0) %%% 1970 ( 90) 1982 ( 0) 1994 ( 1) %%% 1971 ( 103) 1983 ( 0) 1995 ( 0) %%% 1972 ( 107) 1984 ( 1) 1996 ( 1) %%% 1973 ( 100) 1985 ( 0) %%% %%% Article: 1048 %%% Book: 1 %%% Proceedings: 1 %%% %%% Total entries: 1050 %%% %%% This journal is unusual in that issue %%% numbers increase uniformly, without a fixed %%% number of issues per volume. Early volumes %%% did not assign months, but by the 1960s, %%% each issue included a month, although the %%% publication month appears to be irregular. %%% Regrettably, the MathSciNet database, which %%% supplied the data for many of the entries %%% below, does not record month data. %%% %%% The final pages of each issue are devoted %%% to reviews, and brief (sometimes only a few %%% lines) communications about errata in %%% published mathematical tables. In some, %%% the author is identified, but in others, %%% only author initials are supplied. %%% Bibliographic data for this end matter %%% appears to be somewhat unreliably recorded %%% in journal databases, even in the %%% publisher's own MathSciNet database. %%% %%% Data for the bibliography has been %%% collected from the OCLC Contents1st %%% database, from the bibliographies in the %%% TeX User Group collection, from %%% bibliographies in the author's personal %%% files, from the IEEE INSPEC CD ROM %%% databases (1989--Sep 1996), and from the %%% computer science bibliography collection on %%% ftp.ira.uka.de in /pub/bibliography to %%% which many people of have contributed. The %%% snapshot of this collection was taken on %%% 5-May-1994, and it consists of 441 BibTeX %%% files, 2,672,675 lines, 205,289 entries, %%% and 6,375 String{} abbreviations, %%% occupying 94.8MB of disk space. %%% %%% For version 2.00, data from the JSTOR %%% database was merged in. This database %%% provides complete page images of the entire %%% journal, and allows full-text searching into %%% OCR text derived from the page images. %%% %%% Mathematical markup, which is required %%% extensively in this journal, was evidently %%% added by hand. The result is that there are %%% frequent discrepancies between the MathSciNet %%% and JSTOR titles; when these did not appear %%% to be typographically similar, the original %%% journal pages were consulted, and generally %%% given preference. Also, JSTOR markup is %%% generally in LaTeX2e form, while the %%% MathSciNet markup is in plain TeX form, and %%% often includes typographically niceties like %%% thin spaces, which the JSTOR markup omits. %%% %%% The JSTOR author and title data is often %%% missing accents; sometimes these accents %%% appeared in the original journal text, and %%% sometimes not. MathSciNet has the practice %%% of supplying accents, particularly in %%% personal names, even when they are missing %%% from the original publication. Since the %%% loss of accents in the latter sometimes %%% reflected technological limitations in the %%% journal typesetting, and since the accents %%% are essential in the languages from which %%% those personal names came, I have followed %%% the MathSciNet convention, and provided %%% accents were possible. Nevertheless, since %%% it is not feasible for me to check every %%% journal title page, and MathSciNet covers %%% only about half the publications in this %%% journal, some accents surely still remain %%% missing. %%% %%% Although the JSTOR author and title data may %%% have been derived from the OCR text of the %%% journal pages, the need for extensive %%% mathematical markup appears to have %%% introduced many other errors. Whenever a %%% discrepancy between JSTOR and MathSciNet was %%% detected, the original journal title pages %%% were consulted. %%% %%% Finally, MathSciNet has a practice of %%% including additional information, such as %%% journal citation and MRnumber data, in titles %%% that comment on other articles, or for %%% articles that are accompanied by supplements. %%% Since this additional information is helpful, %%% I have retained it, even though it does not %%% appear in the original title. In retrospect, %%% I probably should have introduced a separate %%% MRtitle key/value pair to distinguish between %%% them, but the effort to merge in the JSTOR %%% data has exhausted me. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order, using ``bibsort -byvolume''. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% \ocirc is a ring-on-top accent @Preamble{"\input bibnames.sty" # "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\ifx \undefined \Log \def \Log {\hbox{Log}}\fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" # "\ifx \undefined \ocirc \def \ocirc #1{{\accent'27#1}}\fi" # "\hyphenation{ Pros-ku-row-ski Rich-ard }" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-jr = "Jon Rokne, Department of Computer Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada"} @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} @String{ack-nj = "Norbert Juffa, 2445 Mission College Blvd. Santa Clara, CA 95054 USA email: \path=norbert@iit.com="} %%% ==================================================================== %%% Journal abbreviations: @String{j-MATH-COMPUT = "Mathematics of Computation"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} %%% ==================================================================== %%% Bibliography entries. This journal has appeared quarterly since %%% volume 1 in 1943 up to 1980, so missing month information has been %%% supplied according to the following table: %%% %%% Number Month %%% 4n+1 jan %%% 4n+2 apr %%% 4n+3 jul %%% 4n oct %%% %%% From 1980 to 1994, there were two volumes each year. @Article{Wimp:1962:PEB, author = "Jet Wimp", title = "Polynomial Expansions of {Bessel} Functions and Some Associated Functions", journal = j-MATH-COMPUT, volume = "16", number = "80", pages = "446--458", month = oct, year = "1962", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigendum \cite{Wimp:1972:CPE}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stewart:1969:LMF, author = "G. W. {Stewart, III}", title = "On {Lehmer}'s Method for Finding the Zeros of a Polynomial", journal = j-MATH-COMPUT, volume = "23", number = "108", pages = "829--835, s24--s30", month = oct, year = "1969", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", note = "See corrigendum \cite{Stewart:1971:CLM}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nlop, polynomial, Lehmer's method", } @Article{Greenstadt:1970:VVM, author = "J. Greenstadt", title = "Variations on Variable-Metric Methods", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "1--22", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Goldfarb:1970:FVM, author = "Donald Goldfarb", title = "A Family of Variable-Metric Methods Derived by Variational Means", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "23--26", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schubert:1970:MQN, author = "L. K. Schubert", title = "Modification of a Quasi-{Newton} Method for Nonlinear Equations with a Sparse {Jacobian}", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "27--30", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Varah:1970:MNS, author = "J. M. Varah", title = "Maximum Norm Stability of Difference Approximations to the Mixed Initial Boundary-Value Problem for the Heat Equation", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "31--44", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shampine:1970:DMN, author = "L. F. Shampine and R. J. Thompson", title = "Difference Methods for Nonlinear First-Order Hyperbolic Systems of Equations", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "45--56", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rubin:1970:TDS, author = "Ephraim L. Rubin and Stanley Preiser", title = "Three-Dimensional Second-Order Accurate Difference Schemes for Discontinuous Hydrodynamic Flows", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "57--63", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schultz:1970:ESF, author = "Martin H. Schultz", title = "Elliptic Spline Functions and the {Rayleigh--Ritz--Galerkin} Method", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "65--80", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lambert:1970:LMM, author = "J. D. Lambert", title = "Linear Multistep Methods with Mildly Varying Coefficients", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "81--93", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Silvester:1970:SQF, author = "P. Silvester", title = "Symmetric Quadrature Formulae for Simplexes", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "95--100", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lyness:1970:CFC, author = "J. N. Lyness", title = "The Calculation of {Fourier} Coefficients by the {M{\"o}bius} Inversion of the {Poisson} Summation Formula. Part {I}: Functions whose Early Derivatives are Continuous", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "101--135", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Varah:1970:CIS, author = "J. M. Varah", title = "Computing Invariant Subspaces of a General Matrix When the Eigensystem Is Poorly Conditioned", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "137--149", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65.40", MRnumber = "41 \#9434", MRreviewer = "L. W. Ehrlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "la, nla, eig, pert, invariant subspace, nonsymmetric matrix", } @Article{Lavoie:1970:EED, author = "J. L. Lavoie and R. Michaud", title = "Explicit Expressions for the Determinants of Certain Matrices", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "151--154", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kershaw:1970:IEI, author = "D. Kershaw", title = "Inequalities on the Elements of the Inverse of a Certain Tridiagonal Matrix", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "155--158", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ninomiya:1970:GRC, author = "Ichizo Ninomiya", title = "Generalized Rational {Chebyshev} Approximation", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "159--169", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cody:1970:CAD, author = "W. J. Cody and Kathleen A. Paciorek and Henry C. {Thacher, Jr.}", title = "{Chebyshev} Approximations for {Dawson}'s Integral", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "171--178", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65.20", MRnumber = "41\#2883", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Greville:1970:TTD, author = "T. N. E. Greville", title = "Table for Third-Degree Spline Interpolation with Equally Spaced Arguments", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "179--183", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Krogh:1970:EAP, author = "Fred T. Krogh", title = "Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "185--190", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Luke:1970:FAE, author = "Yudell L. Luke", title = "Further Approximations for Elliptic Integrals", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "191--198", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zill:1970:SEI, author = "D. G. Zill and B. C. Carlson", title = "Symmetric Elliptic Integrals of the Third Kind", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "199--214", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Newman:1970:TFF, author = "Morris Newman", title = "A Table of the First Factor for Prime Cyclotomic Fields", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "215--219", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Jordan:1970:CPE, author = "J. H. Jordan and J. R. Rabung", title = "A Conjecture of {Paul Erd{\H{o}}s} Concerning {Gaussian} Primes", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "221--223", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1970:Ca, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "24", number = "109", pages = "243--243", month = jan, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gautschi:1970:CGQ, author = "Walter Gautschi", title = "On the Construction of {Gaussian} Quadrature Rules from Modified Moments", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "245--260", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kambo:1970:ENC, author = "N. S. Kambo", title = "Error of the {Newton--Cotes} and {Gauss--Legendre} Quadrature Formulas", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "261--269", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wilson:1970:DLS, author = "M. Wayne Wilson", title = "Discrete Least Squares and Quadrature Formulas", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "271--282", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "IBM, Houston, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; discrete least squares; discrete processes; formulas; Gauss type; integration; least; least squares approximations; numerical; numerical integration rules; quadratic formulas; square approximations", treatment = "T Theoretical or Mathematical", } @Article{Goodrich:1970:MSQ, author = "R. F. Goodrich and F. Stenger", title = "Movable Singularities and Quadrature", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "283--300", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Barnhill:1970:EAN, author = "Robert E. Barnhill and Gregory M. Nielson", title = "An error analysis for numerical multiple integration. {III}", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "301--314", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Utah, Salt Lake City, UT, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; integration; methods; minimum norm cubatures; numerical; numerical methods; numerical multiple integration", treatment = "T Theoretical or Mathematical", } @Article{Carasso:1970:ABV, author = "Alfred Carasso and Seymour V. Parter", title = "An Analysis of ``Boundary-Value Techniques'' for Parabolic Problems", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "315--340", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value techniques; boundary-value problems; difference equations; finite difference methods; iterative methods; numerical methods; parabolic problems", treatment = "T Theoretical or Mathematical", } @Article{Sag:1970:CIM, author = "T. W. Sag", title = "{Chebyshev} iteration methods for integral equations of the second kind", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "341--355", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Flinders Univ., Bedford Park, SA, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev; Chebyshev approximation; Fredholm integral equations; integral equations; iterative; iterative methods; methods; numerical solution; second kind equations", treatment = "T Theoretical or Mathematical", } @Article{Galimberti:1970:NDS, author = "G. Galimberti and V. Pereyra", title = "Numerical Differentiation and the Solution of Multidimensional {Vandermonde} Systems", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "357--364", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65.55", MRnumber = "43 \#1421", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Central Venezuela, Caracas, Venezuela", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differentiation; linear equation systems; matrix algebra; multidimensional Vandermonde; numerical differentiation; numerical methods; numerical solution; systems; Vandermonde matrices", kwds = "nla, numerical differentiation, linear system, Vandermonde matrix", treatment = "T Theoretical or Mathematical", } @Article{Broyden:1970:CSR, author = "C. G. Broyden", title = "The Convergence of Single-Rank Quasi-{Newton} Methods", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "365--382", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65.50", MRnumber = "43 \#5714", MRreviewer = "W. M. Kincaid", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Essex, Colchester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; quasi Newton methods; solution approximation", kwds = "nlop, quasi-Newton", treatment = "T Theoretical or Mathematical", } @Article{Phillips:1970:GLE, author = "David L. Phillips", title = "Generalized Logarithmic Error and {Newton}'s Method for the $m$-th Root", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "383--389", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nj # " and " # ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ninomiya:1970:BRS, author = "Ichizo Ninomiya", title = "Best Rational Starting Approximations and Improved {Newton} Iteration for the Square Root", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "391--404", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb # " and " # ack-nj, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Nagoya Univ., Chikua ku, Japan", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computing procedure; function approximation; iterative methods; Newton iteration; rational approximation; square root", treatment = "T Theoretical or Mathematical", } @Article{Ng:1970:CDF, author = "E. W. Ng and C. J. Devine", title = "On the Computation of {Debye} Functions of Integer Orders", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "405--407", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pexton:1970:CIC, author = "Robert L. Pexton", title = "Computer Investigation of {Coulomb} Wave Functions", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "409--411", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. California, Livermore, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Boersma's technique; computer investigation; Coulomb wave; differential equations; functions; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Cochran:1970:NTF, author = "James Alan Cochran and Judith N. Hoffspiegel", title = "Numerical Techniques for Finding $ \nu $-Zeros of {Hankel} Functions", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "413--422", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cohen:1970:ASN, author = "Henri Cohen", title = "On Amicable and Sociable Numbers", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "423--429", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bratley:1970:ANT, author = "Paul Bratley and Fred Lunnon and John McKay", title = "Amicable Numbers and Their Distribution", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "431--432", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1970:ISH, author = "D. H. Lehmer and Emma Lehmer and Daniel Shanks", title = "Integer Sequence having Prescribed Quadratic Character", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "433--451", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brudno:1970:GIM, author = "Simcha Brudno", title = "On Generating Infinitely Many Solutions of the {Diophantine} Equation {$ A^6 + B^6 + C^6 = D^6 + E^6 + F^6 $}", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "453--454", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beyer:1970:SSD, author = "W. A. Beyer and N. Metropolis and J. R. Neergaard", title = "Statistical Study of Digits of Some Square Roots of Integers in Various Bases", journal = j-MATH-COMPUT, volume = "24", number = "110", pages = "455--473", month = apr, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "62.70", MRnumber = "MR0272129 (42 \#7010)", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigendum \cite{Shanks:1971:CSS}.", URL = "http://links.jstor.org/sici?sici=0025-5718%28197004%2924%3A110%3C455%3ASSODOS%3E2.0.CO%3B2-I", ZMnumber = "0208.19505", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schultz:1970:EBP, author = "Martin H. Schultz", title = "Error Bounds for Polynomial Spline Interpolation", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "507--515", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Guenther:1970:SOI, author = "R. B. Guenther and E. L. Roetman", title = "Some Observations on Interpolation in Higher Dimensions", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "517--522", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Winslow:1970:BID, author = "Leon Winslow", title = "``Best'' Interpolation, Differentiation, and Integration Approximations on the {Hardy} Space $ {H}^2 $", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "523--527", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lewis:1970:CBO, author = "James T. Lewis", title = "Computation of Best One-Sided $ {L}_1 $ Approximation", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "529--536", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Berkowitz:1970:CMH, author = "S. Berkowitz and F. J. Garner", title = "The Calculation of Multidimensional {Hermite} Polynomials and {Gram--Charlier} Coefficients", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "537--545", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Jones:1970:ACT, author = "William B. Jones and G. Hardy", title = "Accelerating Convergence of Trigonometric Approximations", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "547--560", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rabinowitz:1970:NEC, author = "Philip Rabinowitz and Nira Richter", title = "New Error Coefficients for Estimating Quadrature Errors for Analytic Functions", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "561--570", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kahaner:1970:CTQ, author = "David K. Kahaner", title = "{Chebyshev} Type Quadrature Formulas", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "571--574", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Knight:1970:TGQ, author = "C. J. Knight and A. C. R. Newbery", title = "Trigonometric and {Gaussian} Quadrature", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "575--581", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lether:1970:CPC, author = "Frank G. Lether", title = "Cross-Product Cubature Error Bounds", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "583--592", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rabinowitz:1970:APM, author = "Philip Rabinowitz and Nira Richter", title = "Asymptotic Properties of Minimal Integration Rules", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "593--609", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Solomon:1970:IVP, author = "Alan Solomon and Faiza Solomon", title = "The Initial-Value Problem for the Equation $ (t u_t)_t = u_{xx} $", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "611--620", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todenes:1970:NSD, author = "{\O}ystein Todenes", title = "On the Numerical Solution of the Diffusion Equation", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "621--627", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gourlay:1970:NTM, author = "A. R. Gourlay", title = "A Note on Trapezoidal Methods for the Solution of Initial Value Problems", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "629--633", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brunner:1970:MSS, author = "H. Brunner", title = "Marginal Stability and Stabilization in the Numerical Integration of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "635--646", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanno:1970:CQN, author = "D. F. Shanno", title = "Conditioning of Quasi-{Newton} Methods for Function Minimization", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "647--656", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanno:1970:OCQ, author = "D. F. Shanno and P. C. Kettler", title = "Optimal Conditioning of Quasi-{Newton} Methods", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "657--664", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schlegel:1970:EIT, author = "P. Schlegel", title = "The Explicit Inverse of a Tridiagonal Matrix", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "665--665", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1970:NMC, author = "Henry E. Fettis", title = "A New Method for Computing Toroidal Harmonics", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "667--670", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cody:1970:CAC, author = "W. J. Cody and K. E. Hillstrom", title = "{Chebyshev} Approximations for the {Coulomb} Phase Shift", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "671--677", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kolbig:1970:CZI, author = "K. S. Kolbig", title = "Complex Zeros of an Incomplete {Riemann} Zeta Function and of the Incomplete Gamma Function", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "679--696", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boyd:1970:LBD, author = "David W. Boyd", title = "Lower Bounds for the Disk Packing Constant", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "697--704", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Makowski:1970:RCE, author = "Andrzej Makowski", title = "Remark on a Conjecture of {Erd{\H{o}}s} on Binomial Coefficients", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "705--705", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dixon:1970:CIR, author = "John D. Dixon", title = "Computing Irreducible Representations of Groups", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "707--712", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20.80 (65.00)", MRnumber = "43 \#6330", MRreviewer = "A. Dress", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Math/algebra.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characters; ordinary representations", reviews = "MR 43 \# 6330 (A. Dress), Zbl 276.20005 (Autorreferat)", } @Article{Berlekamp:1970:FPL, author = "E. R. Berlekamp", title = "Factoring Polynomials Over Large Finite Fields", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "713--735", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rabung:1970:CPR, author = "J. R. Rabung and J. H. Jordan", title = "Consecutive Power Residues or Nonresidues", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "737--740", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1970:NDR, author = "D. H. Lehmer", title = "Note on the Distribution of {Ramanujan}'s Tau Function", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "741--743", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beyer:1970:GST, author = "W. A. Beyer and N. Metropolis and J. R. Neergaard", title = "The Generalized Serial Test Applied to Expansions of Some Irrational Square Roots in Various Bases", journal = j-MATH-COMPUT, volume = "24", number = "111", pages = "745--747", month = jul, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Vaillancourt:1970:SFS, author = "Remi Vaillancourt", title = "On the Stability of {Friedrich}'s Scheme and the Modified {Lax--Wendroff} Scheme", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "767--770", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pereyra:1970:HAN, author = "Victor Pereyra", title = "Highly Accurate Numerical Solution of Casilinear Elliptic Boundary-Value Problems in $n$ Dimensions", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "771--783", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Carasso:1970:PBN, author = "Alfred Carasso", title = "A Posteriori Bounds in the Numerical Solution of Mildly Nonlinear Parabolic Equations", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "785--792", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Young:1970:CPS, author = "David M. Young", title = "Convergence Properties of the Symmetric and Unsymmetric Successive Overrelaxation Methods and Related Methods", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "793--807", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, linear system, relaxation, nonsymmetric matrix", } @Article{Bramble:1970:TEF, author = "James H. Bramble and Milo{\u{s}} Zl{\'a}mal", title = "Triangular Elements in the Finite Element Method", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "809--820", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/o_ccd.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Burbea:1970:PCM, author = "J. Burbea", title = "A Procedure for Conformal Maps of Simply Connected Domains by Using the {Bergman} Function", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "821--829", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rabinowitz:1970:CTI, author = "Philip Rabinowitz and Nira Richter", title = "{Chebyshev}-Type Integration Rules of Minimum Norm", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "831--845", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gustafson:1970:CEC, author = "Sven-{\AA}ke Gustafson", title = "Control and Estimation of Computational Errors in the Evaluation of Interpolation Formulae and Quadrature Rules", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "847--854", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fritsch:1970:ERM, author = "F. N. Fritsch", title = "On the Existence of Regions With Minimal Third Degree Integration Formulas", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "855--861", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Basu:1970:EEC, author = "N. K. Basu", title = "Error Estimates for a {Chebyshev} Quadrature Method", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "863--867", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Newbery:1970:TIC, author = "A. C. R. Newbery", title = "Trigonometric Interpolation and Curve-Fitting", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "869--876", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Barrodale:1970:TSA, author = "I. Barrodale and J. C. Mason", title = "Two Simple Algorithms for Discrete Rational Approximation", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "877--891", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bjorck:1970:SVS, author = "Ake Bj{\"o}rck and Victor Pereyra", title = "Solution of {Vandermonde} Systems of Equations", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "893--903", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, Vandermonde matrix, linear system", } @Article{Linz:1970:NCE, author = "Peter Linz", title = "On the Numerical Computation of Eigenvalues and Eigenvectors of Symmetric Integral Equations", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "905--910", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Larkin:1970:OAH, author = "F. M. Larkin", title = "Optimal Approximation in {Hilbert} Spaces with Reproducing Kernel Functions", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "911--921", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Diaz:1970:IPE, author = "J. B. Diaz and F. T. Metcalf", title = "On Iteration Procedures for Equations of the First Kind, {$ A x = y $}, and {Picard}'s Criterion for the Existence of a Solution", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "923--935", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brayton:1970:SRS, author = "Robert K. Brayton and Fred G. Gustavson and Ralph A. Willoughby", title = "Some Results on Sparse Matrices", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "937--954", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Knuth:1970:NSP, author = "Donald E. Knuth", title = "A Note on Solid Partitions", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "955--961", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hagis:1970:LBR, author = "Peter {Hagis, Jr.}", title = "Lower Bounds for Relatively Prime Amicable Numbers of Opposite Parity", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "963--968", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Riesel:1970:SCR, author = "Hans Riesel and Gunnar Gohl", title = "Some Calculations Related to {Riemann}'s Prime Number Formula", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "969--983", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1970:Cb, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "1001--1001", month = oct, year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1971:LSM, author = "J. H. Bramble and A. H. Schatz", title = "Least Squares Methods for $ 2 m $ th Order Elliptic Boundary-Value Problems", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "1--32", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Widlund:1971:ESP, author = "Olof B. Widlund", title = "On the Effects of Scaling of the {Peaceman--Rachford} Method", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "33--41", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bondesson:1971:IPE, author = "Magnus Bondesson", title = "An Interior a Priori Estimate for Parabolic Difference Operators and an Application", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "43--58", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lyness:1971:CFCa, author = "J. N. Lyness", title = "The Calculation of {Fourier} Coefficients by the {M{\"o}bius} Inversion of the {Poisson} Summation Formula Part {II}. Piecewise Continuous Functions and Functions with Poles near the Interval [0, 1]", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "59--78", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Nicholson:1971:ENI, author = "D. Nicholson and P. Rabinowitz and N. Richter and D. Zeilberger", title = "On the Error in the Numerical Integration of {Chebyshev} Polynomials", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "79--86", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lyness:1971:AFF, author = "J. N. Lyness", title = "Adjusted Forms of the {Fourier} Coefficient Asymptotic Expansion and Applications in Numerical Quadrature", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "87--104", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Salkauskas:1971:EQF, author = "K. Salkauskas", title = "Existence of Quadrature Formulae with Almost Equal Weights", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "105--109", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Galant:1971:ICT, author = "David Galant", title = "An Implementation of {Christoffel}'s Theorem in the Theory of Orthogonal Polynomials", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "111--113", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Burgoyne:1971:PTB, author = "F. D. Burgoyne", title = "Practical Throw-Back Interpolation", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "115--117", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Salzer:1971:FBH, author = "Herbert E. Salzer", title = "Formulas for Bivariate Hyperosculatory Interpolation", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "119--133", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stewart:1971:EAA, author = "G. W. {Stewart, III}", title = "Error Analysis of the Algorithm for Shifting the Zeros of a Polynomial by Synthetic Division", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "135--139", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nlop, polynomial, rounding error", } @Article{McNamee:1971:WCF, author = "J. McNamee and F. Stenger and E. L. Whitney", title = "{Whittaker}'s Cardinal Function in Retrospect", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "141--154", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fiala:1971:SAS, author = "Frantisek Fiala", title = "Strongly Asymmetric Sequences Generated by Four Elements", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "155--162", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cusick:1971:DAT, author = "T. W. Cusick", title = "{Diophantine} Approximation of Ternary Linear Forms", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "163--180", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Yang:1971:HMC, author = "C. H. Yang", title = "On {Hadamard} Matrices Constructible by Circulant Submatrices", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "181--186", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stewart:1971:CLM, author = "G. W. {Stewart, III}", title = "Corrigendum: {``On Lehmer's Method for Finding the Zeros of a Polynomial''}", journal = j-MATH-COMPUT, volume = "25", number = "113", pages = "203--203", month = jan, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See \cite{Stewart:1969:LMF}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brenner:1971:CDS, author = "Philip Brenner and Vidar Thomee", title = "Contractive Difference Schemes for Symmetric Hyperbolic Systems", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "205--217", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0297151-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0297151-1", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ciment:1971:SDS, author = "Melvyn Ciment", title = "Stable Difference Schemes with Uneven Mesh Spacings", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "219--227", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0300470-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0300470-3", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zwas:1971:TFO, author = "Gideon Zwas and Saul Abarbanel", title = "Third and Fourth Order Accurate Schemes for Hyperbolic Equations of Conservation Law Form", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "229--236", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0303766-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0303766-4", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kuttler:1971:FOF, author = "J. R. Kuttler", title = "A Fourth-Order Finite-Difference Approximation for the Fixed Membrane Eigenproblem", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "237--256", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0301955-6", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0301955-6", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stepleman:1971:DAQ, author = "Robert S. Stepleman", title = "Difference Analogues of Quasi-Linear Elliptic {Dirichlet} Problems with Mixed Derivatives", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "257--269", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0303756-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0303756-1", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dorr:1971:EIC, author = "Fred W. Dorr", title = "An Example of Ill-Conditioning in the Numerical Solution of Singular Perturbation Problems", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "271--283", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0297142-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0297142-0", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Broyden:1971:CAS, author = "C. G. Broyden", title = "The Convergence of an Algorithm for Solving Sparse Nonlinear Systems", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "285--294", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0297122-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0297122-5", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fike:1971:MAS, author = "C. T. Fike and P. H. Sterbenz", title = "Minimax Approximations Subject to a Constraint", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "295--298", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0303176-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0303176-X", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{King:1971:INI, author = "Richard F. King", title = "Improved {Newton} Iteration for Integral Roots", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "299--304", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0283981-9", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0283981-9", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chambers:1971:QFF, author = "Ll. G. Chambers", title = "A Quadratic Formula for Finding the Root of an Equation", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "305--307", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0295559-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0295559-1", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Elliott:1971:UAE, author = "David Elliott", title = "Uniform Asymptotic Expansions of the {Jacobi} Polynomials and an Associated Function", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "309--315", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0294737-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0294737-5", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Spira:1971:CGF, author = "Robert Spira", title = "Calculation of the Gamma Function by {Stirling}'s Formula", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "317--322", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Luke:1971:MTBa, author = "Yudell L. Luke", title = "Miniaturized Tables of {Bessel} Functions", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "323--330", month = apr, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ling:1971:NME, author = "Chih-Bing Ling and Jung Lin", title = "A New Method of Evaluation of {Howland} Integrals", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "331--337", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0295537-2", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0295537-2", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Matta:1971:UCE, author = "F. Matta and A. Reichel", title = "Uniform Computation of the Error Function and Other Related Functions", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "339--344", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0295538-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0295538-4", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beyer:1971:LSM, author = "W. A. Beyer and R. B. Roof and Dorothy Williamson", title = "The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "345--363", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0309263-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR database", note = "See corrigenda \cite{Beyer:1996:CLS}.", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0309263-4; http://www.jstor.org/stable/pdfplus/2004931.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "This article, and \cite{Marsaglia:1972:SLC}, are believed to be the first reports of the lattice tests for randomness.", } @Article{Pollard:1971:FFT, author = "J. M. Pollard", title = "The {Fast Fourier Transform} in a Finite Field", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "365--374", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0301966-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0301966-0", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Malcolm:1971:NCJ, author = "Michael A. Malcolm", title = "A Note on a Conjecture of {L. J. Mordell}", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "375--377", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0284395-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0284395-8", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gupta:1971:CQR, author = "Hansraj Gupta", title = "Chains of Quadratic Residues", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "379--382", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0297684-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0297684-8", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{McDaniel:1971:DOP, author = "Wayne L. McDaniel", title = "On the Divisibility of an Odd Perfect Number by the Sixth Power of a Prime", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "383--385", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0296013-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0296013-3", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Choong:1971:RA, author = "K. Y. Choong and D. E. Daykin and C. R. Rathbone", title = "Rational Approximations to $ \pi $", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "387--392", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0300981-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR database", note = "See errata \cite{Shanks:1976:TER}.", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0300981-0", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:RDTa, author = "Anonymous", title = "Reviews and Descriptions of Tables and Books", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "393--404", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99719-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-71-99719-5", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:TEa, author = "Anonymous", title = "Table Errata", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "405--408", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99718-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-71-99718-3", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Strecok:1971:TEB, author = "Anthony J. Strecok", title = "Table errata: {{\booktitle{Handbook of mathematical functions with formulas, graphs, and mathematical tables}} (Nat. Bur. Standards, Washington, D. C., 1964), edited by Milton Abramowitz and Irene A. Stegun}", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "405--405", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0415963-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0415963-8", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1971:TEBa, author = "Henry E. Fettis", title = "Table errata: {{\booktitle{Tables of toroidal harmonics. I: Orders 0 5, all significant degrees}} (Aerospace Res. Lab., Office of Aerospace Res., United States Air Force, Wright-Patterson Air Force Base, Ohio, 1969) by Fettis and James C. Caslin}", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "405--407", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0400627-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0400627-7", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1971:TEBb, author = "Henry E. Fettis", title = "Table errata: {{\booktitle{Tables of toroidal harmonics, II: Orders 5 10, all significant degrees}} (Aerospace Res. Lab., Office of Aerospace Res. United States Air Force, Wright-Patterson Air Force Base, Ohio, 1969) by Fettis and James C. Caslin}", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "407--408", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0400628-9", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0400628-9", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1971:CGI, author = "Daniel Shanks", title = "Corrigendum to: {On generating infinitely many solutions of the Diophantine equation $ A^6 + B^6 + C^6 = D^6 + E^6 + F^6 $, (Math. Comp. {\bf 24} (1970), 453--454) by Simcha Brudno}", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "409--409", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0400638-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0400638-1", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1971:CSS, author = "Daniel Shanks", title = "Corrigendum to: {``Statistical study of digits of some square roots of integers in various bases'' (Math. Comp. {\bf 24} (1970), 455--473) by W. A. Beyer, N. Metropolis and J. R. Neergaard}", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "409--409", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0400639-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-1971-0400639-3", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:Cb, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "409--409", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99717-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-71-99717-1", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:N, author = "Anonymous", title = "Notice", journal = j-MATH-COMPUT, volume = "25", number = "114", pages = "411", month = apr, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99716-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 13:42:24 MST 2015", bibsource = "http://www.ams.org/mcom/1971-25-114; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-114/S0025-5718-71-99716-X", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Franklin:1971:SBS, author = "Joel N. Franklin", title = "Stability of Bounded Solutions of Linear Functional Equations", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "413--424", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Sackett:1971:NSP, author = "Gary G. Sackett", title = "Numerical Solution of a Parabolic Free Boundary Problem Arising in Statistical Decision Theory", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "425--434", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cryer:1971:MCS, author = "Colin W. Cryer", title = "The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "435--443", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shampine:1971:CEE, author = "L. F. Shampine and H. A. Watts", title = "Comparing Error Estimators for {Runge--Kutta} Methods", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "445--455", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Klopfenstein:1971:PAS, author = "R. W. Klopfenstein and C. B. Davis", title = "{PECE} Algorithms for the Solution of Stiff Systems of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "457--473", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Robertson:1971:LTP, author = "T. N. Robertson", title = "The Linear Two-Point Boundary-Value Problem on an Infinite Interval", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "475--481", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lyness:1971:CFCb, author = "J. N. Lyness", title = "The Calculation of {Fourier} Coefficients by the {M{\"o}bius} Inversion of the {Poisson} Summation Formula. Part {III}: Functions Having Algebraic Singularities", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "483--493", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Duris:1971:OQF, author = "C. S. Duris", title = "Optimal Quadrature Formulas Using Generalized Inverses. Part {I}: General Theory and Minimum Variance Formulas", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "495--504", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Feldstein:1971:EBC, author = "Alan Feldstein and Richard K. Miller", title = "Error Bounds for Compound Quadrature of Weakly Singular Integrals", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "505--520", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Miller:1971:ISN, author = "R. K. Miller", title = "On Ignoring the Singularity in Numerical Quadrature", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "521--532", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Glasser:1971:EII, author = "M. L. Glasser", title = "An Elliptic Integral Identity", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "533--534", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Glasser:1971:CFE, author = "M. L. Glasser and V. E. Wood", title = "A Closed Form Evaluation of the Elliptic Integral", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "535--536", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cody:1971:CAR, author = "W. J. Cody and K. E. Hillstrom and Henry C. {Thacher, Jr.}", title = "{Chebyshev} Approximations for the {Riemann} Zeta Function", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "537--547", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "47 2785", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Newbery:1971:GIA, author = "A. C. R. Newbery", title = "A Generalized Interpolation Algorithm", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "549--552", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Huddleston:1971:SRB, author = "Robert E. Huddleston", title = "Some Relations Between the Values of a Function and its First Derivative at $n$ Abscissa Points", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "553--558", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dennis:1971:CBM, author = "J. E. {Dennis, Jr.}", title = "On the convergence of {Broyden}'s method for nonlinear systems of equations", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "559--567", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Goldstein:1971:DLM, author = "A. A. Goldstein and J. F. Price", title = "On Descent from Local Minima", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "569--574", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rosman:1971:ECA, author = "Bernard H. Rosman", title = "Exponential {Chebyshev} Approximation on Finite Subsets of $ \lbrack 0, 1 \rbrack $", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "575--577", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Sameh:1971:JJL, author = "Ahmed H. Sameh", key = "Sameh", title = "On {Jacobi} and {Jacobi-like} Algorithms for a Parallel Computer", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "579--590", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/Multi.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, eig, prll, Jacobi's method, Jacobi-like", } @Article{Reinsch:1971:SRA, author = "Christian H. Reinsch", key = "Reinsch", title = "A Stable, Rational $ {QR} $ Algorithm for the Computation of the Eigenvalues of an {Hermitian}, Tridiagonal Matrix", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "591--597", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Phillips:1971:TDH, author = "James L. Phillips", title = "The Triangular Decomposition of {Hankel} Matrices", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "599--602", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, lud, Hankel matrix", } @Article{Riley:1971:HKG, author = "Robert Riley", title = "Homomorphisms of Knot Groups on Finite Groups", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "603--619", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Alter:1971:DER, author = "Ronald Alter", title = "On a {Diophantine} Equation Related to Perfect Codes", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "621--624", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stephens:1971:FTC, author = "N. M. Stephens", title = "On the {Feit--Thompson} Conjecture", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "625--625", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:RDTb, author = "Anonymous", title = "Reviews and Descriptions of Tables and Books", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "627--633", month = jul, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99712-2", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:34:55 MST 2018", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99712-2; http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99712-2/S0025-5718-71-99712-2.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{P:1971:BRH, author = "B. N. P.", title = "Book Review: {A. S. Householder, \booktitle{KWIC Index for Matrices in Numerical Analysis, Volume I: Primary Authors A--J}, viii + 124 pp., \booktitle{Volume II: Primary Authors K--Z}, vii + 151 pp., 1969, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 28 cm. Available from National Technical Information Service, U. S. Department of Commerce, Springfield, Virginia 22151. Price: Printed copy \$3.00, Microfiche \$0.65, each volume}", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "628--628", month = jul, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-71-99712-2", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:34:55 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99712-2; http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99712-2/S0025-5718-71-99712-2.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "Perhaps B. N. P. is Beresford N. Parlett.", } @Article{Eilbeck:1971:TEH, author = "J. C. Eilbeck", title = "Table errata: {{\booktitle{Higher transcendental functions}}. Vol. I, II (McGraw-Hill, New York, 1953) by A. Erd{\'e}lyi, W. Magnus, F. Oberhettinger and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "635", month = jul, year = "1971", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1971-0414948-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:34:55 MST 2018", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-1971-0414948-5; http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-1971-0414948-5/S0025-5718-1971-0414948-5.pdf; https://www.ams.org/mathscinet-getitem?mr=414948; https://www.ams.org/mathscinet/search/authors.html?authorName=Eilbeck%2C%20J.%20C.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:TEb, author = "Anonymous", title = "Table Errata", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "635", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:34:55 MST 2018", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99711-0; http://www.ams.org/journals/mcom/1971-25-115/S0025-5718-71-99711-0/S0025-5718-71-99711-0.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:Cc, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "25", number = "115", pages = "637--637", month = jul, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rice:1971:MRN, author = "John R. Rice", title = "Matrix Representations of Nonlinear Equation Iterations--Application to Parallel Computation", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "639--647", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mangasarian:1971:CGM, author = "O. L. Mangasarian", title = "Convergent Generalized Monotone Splitting of Matrices", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "649--653", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{McAllister:1971:DPC, author = "G. T. McAllister", title = "The {Dirichlet} Problem for a Class of Elliptic Difference Equations", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "655--673", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kowalski:1971:FDM, author = "Jan Krzysztof Kowalski", title = "A Finite-Difference Method for Parabolic Differential Equations with Mixed Derivatives", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "675--698", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Delves:1971:CRV, author = "L. M. Delves and K. O. Mead", title = "On the Convergence Rates of Variational Methods. {I}: Asymptotically Diagonal Systems", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "699--716", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Miranker:1971:MDS, author = "W. L. Miranker", title = "Matricial Difference Schemes for Integrating Stiff Systems of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "717--728", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chartres:1971:CDM, author = "Bruce Chartres and Robert Stepleman", title = "Convergence of Difference Methods for Initial and Boundary Value Problems with Discontinuous Data", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "729--732", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ross:1971:CSG, author = "George G. Ross", title = "On the Computation of Some {Grunsky} Coefficients Relevant to the {Bieberbach} Conjecture", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "733--741", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Burbea:1971:NDM, author = "J. Burbea", title = "A Numerical Determination of the Modulus of Doubly Connected Domains by Using the {Bergman} Curvature", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "743--756", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ramos:1971:REA, author = "George U. Ramos", title = "Roundoff Error Analysis of the {Fast Fourier Transform}", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "757--768", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Liron:1971:ISR, author = "N. Liron", title = "Infinite Sums of Roots for a Class of Transcendental Equations and {Bessel} Functions of Order One-Half", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "769--781", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wong:1971:SEI, author = "R. Wong and E. Rosenbloom", title = "Series Expansions of $ {W}_{k, m}(z) $ Involving Parabolic Cylinder Functions", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "783--787", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Luke:1971:MTBb, author = "Yudell L. Luke", title = "Miniaturized Tables of {Bessel} Functions, {II}", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "789--795", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hoskins:1971:TTD, author = "W. D. Hoskins", title = "Table for Third-Degree Spline Interpolation Using Equi-Spaced Knots", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "797--801", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Franke:1971:OCR, author = "Richard Franke", title = "Obtaining Cubatures for Rectangles and Other Planar Regions by Using Orthogonal Polynomials", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "803--817", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tuan:1971:RQR, author = "P. D. Tuan", title = "On the Remainder in Quadrature Rules", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "819--826", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kahaner:1971:SPC, author = "David K. Kahaner", title = "Some Polynomials for Complex Quadrature", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "827--830", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Johnson:1971:MQF, author = "L. W. Johnson and R. D. Riess", title = "Minimal Quadratures for Functions of Low-Order Continuity", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "831--835", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1971:GTF, author = "Daniel Shanks", title = "{Gauss}'s Ternary Form Reduction and the $2$-{Sylow} Subgroup", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "837--853", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 25 07:31:05 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigendum \cite{Jeltsch:1978:CMJ}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dieter:1971:PRN, author = "U. Dieter", title = "Pseudo-Random Numbers: The Exact Distribution of Pairs", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "855--883", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Choi:1971:CSI, author = "S. L. G. Choi", title = "Covering the Set of Integers by Congruence Classes of Distinct Moduli", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "885--895", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bradley:1971:AHS, author = "Gordon H. Bradley", title = "Algorithms for {Hermite} and {Smith} Normal Matrices and Linear {Diophantine} Equations", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "897--907", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cadwell:1971:LIB, author = "J. H. Cadwell", title = "Large Intervals Between Consecutive Primes", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "909--913", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hagis:1971:UAN, author = "Peter {Hagis, Jr.}", title = "Unitary Amicable Numbers", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "915--918", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rosen:1971:SNE, author = "D. Rosen and G. S. {Patterson, Jr.}", title = "Some Numerical Evidence Concerning the Uniqueness of the {Markov} Numbers", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "919--921", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lal:1971:NCF, author = "M. Lal and A. Forbes", title = "A Note on {Chowla}'s Function", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "923--925", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dutka:1971:SRD, author = "Jacques Dutka", title = "The Square Root of $2$ to $ 1, 000, 000$ Decimals", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "927--930", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1971:Cd, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "25", number = "116", pages = "947--947", month = oct, year = "1971", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Babuska:1972:FEM, author = "Ivo Babu{\v{s}}ka", title = "The Finite Element Method for Infinite Domains. {I}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "1--11", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic partial differential equations; finite element method; infinite domains; numerical methods; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Osher:1972:SPD, author = "Stanley Osher", title = "Stability of parabolic difference approximations to certain mixed initial boundary value problems", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "13--39", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods)", corpsource = "State Univ. New York, Stony Brook, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; difference equations; initial boundary value problems; mixed; parabolic difference approximations; stability", treatment = "T Theoretical or Mathematical", } @Article{Eilon:1972:NCT, author = "B. Eilon", title = "A note concerning the two-step {Lax--Wendroff} method in three dimensions", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "41--43", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Tel Aviv Univ., Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "hydrodynamic case; linear stability; numerical methods; three dimensions; two step Lax Wendroff", treatment = "T Theoretical or Mathematical", } @Article{Madsen:1972:CSD, author = "N. K. Madsen", title = "Convergence of singular difference approximations for the discrete ordinate equations in $x$-$y$ geometry", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "45--50", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Westinghouse Electric Corp., West Mifflin, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "central; convergence; convergence of numerical methods; diamond approximation; difference approximation; difference equations; discrete; ordinate equations; singular difference approximations", treatment = "T Theoretical or Mathematical", } @Article{Guderley:1972:PCM, author = "Karl G. Guderley and Chen-Chi Hsu", title = "A Predictor-Corrector Method for a Certain Class of Stiff Differential Equations", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "51--69", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Wright Patterson Air Force Base, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; predictor corrector method; predictor-corrector methods; stiff differential equations", treatment = "T Theoretical or Mathematical", } @Article{Jain:1972:SSM, author = "R. K. Jain", title = "Some {$A$}-stable methods for stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "71--77", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Univ. Saskatchewan, Saskatoon, Sask., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A stable methods; differential equations; interpolation; interpolation polynomials; numerical methods; polynomials; stiff ordinary", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1972:ATI, author = "J. C. Butcher", title = "An Algebraic Theory of Integration Methods", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "79--106", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Auckland, New Zealand", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic theory; integration; integration methods; Picard successive approximation; predictor-corrector methods; Runge kutta", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1972:CCC, author = "J. C. Butcher", title = "A convergence criterion for a class of integration methods", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "107--117", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Auckland, New Zealand", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence criterion; convergence of numerical methods; corrector methods; integration; integration methods; predictor-; Runge Kutta", treatment = "T Theoretical or Mathematical", } @Article{Householder:1972:CNM, author = "Alston S. Householder", title = "On a Condition for the Nonsingularity of a Matrix", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "119--120", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; iterative methods; matrix iteration; nonsingularity of a matrix", treatment = "T Theoretical or Mathematical", } @Article{Rainey:1972:TCN, author = "J. W. Rainey and G. J. Habetler", title = "Tridiagonalization of completely nonnegative matrices", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "121--128", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Tulsa, OK, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "completely nonnegative matrices; matrix algebra; numerical methods; tridiagonalization", treatment = "T Theoretical or Mathematical", } @Article{Bass:1972:RTA, author = "Ronald Bass", title = "A Rank Two Algorithm for Unconstrained Minimization", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "129--143", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Office Emergency Preparedness, Washington, DC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a rank; minimisation; quadratic termination; two algorithm; unconstrained minimization", treatment = "T Theoretical or Mathematical", } @Article{Greenstadt:1972:QNM, author = "John Greenstadt", title = "A Quasi-{Newton} Method with No Derivatives", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "145--166", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "IBM, Palo Alto, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergent; numerical methods; quasi Newton method; sequence of approximations; unconstrained minimization", treatment = "T Theoretical or Mathematical", } @Article{Cline:1972:RCL, author = "A. K. Cline", title = "Rate of Convergence of {Lawson}'s Algorithm", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "167--176", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Nat. Center Atmospheric Res., Boulder, CO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; Lawson's algorithm; linear; maximum error", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1972:PIG, author = "Richard Weiss", title = "Product integration for the generalized {Abel} equation", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "177--190", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Australian Nat. Univ., Canberra, A.C.T., Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generalized Abel equation; integration; product integration", treatment = "T Theoretical or Mathematical", } @Article{Kershaw:1972:OAF, author = "D. Kershaw", title = "The orders of approximation of the first derivative of cubic splines at the knots", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "191--198", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Edinburgh, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic splines; first derivative; interpolating; knots; orders of approximation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Williams:1972:NCA, author = "Jack Williams", title = "Numerical {Chebyshev} approximation by interpolating rationals", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "199--206", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Manchester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characterization; Chebyshev approximation; decay functions; exchange algorithm; existence; interpolating rationals; numerical Chebyshev approximation; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Curtis:1972:GIC, author = "A. R. Curtis and P. Rabinowitz", title = "On the {Gaussian} integration of {Chebyshev} polynomials", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "207--211", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Weizmann Inst. Sci., Rehovot, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev polynomials; error; error analysis; Gaussian integration; integration; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Tuan:1972:CSE, author = "P. D. Tuan and David Elliott", title = "Coefficients in series expansions for certain classes of functions", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "213--232", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "classical orthogonal polynomials; integral transforms; inverse; polynomials; series expansions", treatment = "T Theoretical or Mathematical", } @Article{Bellman:1972:UA, author = "Richard Bellman and B. G. Kashef and R. Vasudevan", title = "A Useful Approximation to $ e^{-t^2} $", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "233--235", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Southern California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential approximation; exp(-; function approximation; sum of three exponentials; t/sup 2/)", treatment = "T Theoretical or Mathematical", } @Article{Luke:1972:MTB, author = "Yudell L. Luke", title = "Miniaturized Tables of {Bessel} Functions. {III}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "237--240", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Missouri, Kansas City, KS, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; miniaturized tables; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Chipman:1972:NCT, author = "D. M. Chipman", title = "The numerical computation of two transcendental functions related to the exponential integral", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "241--249", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "exponential; integral; integration; numerical computation; table of values; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Wimp:1972:STM, author = "Jet Wimp", title = "Some Transformations of Monotone Sequences", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "251--254", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Drexel Univ., Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergent sequences; monotone sequences; numerical methods; Salzer; summing sequences; transformations", treatment = "T Theoretical or Mathematical", } @Article{Amos:1972:CMD, author = "D. E. Amos and W. G. Bulgren", title = "Computation of a Multivariate $ {F} $ Distribution", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "255--264", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1140 (Probability and statistics)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integral; joint cumulative probability; multivariate F distribution; probability", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1972:BCR, author = "Daniel Shanks and Mohan Lal", title = "{Bateman}'s Constants Reconsidered and the Distribution of Cubic Residues", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "265--285", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Naval Ship Res. and Dev. Center, Bethesda, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bateman's constants; Dedekind Zeta functions; distribution of cubic residues; numerical methods; slowly convergent infinite products", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1972:RDT, author = "Anonymous", title = "Reviews and Descriptions of Tables and Books", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "287--303", month = jan, year = "1972", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-72-99110-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99110-7; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99110-7/S0025-5718-72-99110-7.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rheinboldt:1972:BRH, author = "W. Rheinboldt", title = "Book Review: {A. S. Householder, \booktitle{KWIC Index for the Numerical Treatment of Nonlinear Equations}, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 1970, vii + 129 pp., 28 cm. Available from U. S. Department of Commerce, Springfield, Va. 22151. Price: printed copy \$3.00; microfiche \$0.65.}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "287--303", month = jan, year = "1972", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-72-99110-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99110-7; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99110-7/S0025-5718-72-99110-7.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1972:TE, author = "Anonymous", title = "Table Errata", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "305--307", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99109-0; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-72-99109-0/S0025-5718-72-99109-0.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{MacKinnon:1972:TET, author = "Robert F. MacKinnon", title = "Table errata: {{\booktitle{Table of integrals, series, and products}} (English translation of the fourth Russian edition, Academic Press, New York, 1965) by I. S. Gradshteyn and I. M. Ryzhik}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "305", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0415970-6; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0415970-6/S0025-5718-1972-0415970-6.pdf; https://www.ams.org/mathscinet-getitem?mr=415970; https://www.ams.org/mathscinet/search/authors.html?authorName=MacKinnon%2C%20Robert%20F.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wimp:1972:CPE, author = "Jet Wimp", title = "Corrigendum: {{\booktitle{Polynomial expansions of Bessel functions and some associated functions}} (Math. Comp. {\bf 16} (1962), 446--458)}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "309--309", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", note = "See \cite{Wimp:1962:PEB}.", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0400659-X; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0400659-X/S0025-5718-1972-0400659-X.pdf; https://www.ams.org/mathscinet-getitem?mr=400659; https://www.ams.org/mathscinet/search/authors.html?authorName=Wimp%2C%20Jet", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lunnon:1972:CEE, author = "W. F. Lunnon", title = "Corrigendum: {{\booktitle{Explicit expressions for the determinants of certain matrices}} (Math. Comp. {\bf 24} (1970), 151--154) by J. L. Lavoie and R. Michaud}", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "309", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 06:54:10 MST 2018", bibsource = "http://www.ams.org/mcom/1972-26-117; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0400682-5; http://www.ams.org/journals/mcom/1972-26-117/S0025-5718-1972-0400682-5/S0025-5718-1972-0400682-5.pdf; https://www.ams.org/mathscinet-getitem?mr=400682; https://www.ams.org/mathscinet/search/authors.html?authorName=Lunnon%2C%20W.%20F.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1972:Ca, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "26", number = "117", pages = "309--309", month = jan, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bauer:1972:BFD, author = "Louis Bauer and Edward L. Reiss", title = "Block five diagonal matrices and the fast numerical solution of the biharmonic equation", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "311--326", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "New York Univ., NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "biharmonic equation; biharmonic operator; block elimination; block five diagonal matrices; boundary value problems; boundary-value problems; clamped square plate; eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; factoring; fast numerical solution; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Hayes:1972:IMN, author = "John K. Hayes and David K. Kahaner and Richard G. Kellner", title = "An Improved Method for Numerical Conformal Mapping", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "327--334", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods); C7310 (Mathematics computing)", corpsource = "Univ. California, Los Alamos, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complete computer programs; FORTRAN code; mathematics; numerical conformal mapping; planar region; unit disk; User's Guide", treatment = "T Theoretical or Mathematical", } @Article{Ehrlich:1972:CHE, author = "L. W. Ehrlich", title = "Coupled harmonic equations, {SOR}, and {Chebyshev} acceleration", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "335--343", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Johns Hopkins Univ., Silver Spring, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block SOR; Chebyshev acceleration; convergence of numerical methods; coupled harmonic equations; differential equations; eigenvalues; Gauss Seidal method; imaginary; iterative methods; Jacobi iteration matrix; Jacobi method; method; partial; SOR; successive overrelaxation", treatment = "T Theoretical or Mathematical", } @Article{Kincaid:1972:NSO, author = "David R. Kincaid", title = "Norms of the Successive Overrelaxation Method", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "345--357", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Univ. Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discretization; elliptic partial differential equations; linear algebra; linear equations; nonoptimum relaxation parameter; norms; partial differential equations; successive overrelaxation method", treatment = "T Theoretical or Mathematical", } @Article{Simpson:1972:EEE, author = "R. B. Simpson", title = "Existence and error estimates for solutions of a discrete analog of nonlinear eigenvalue problems", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "359--375", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analogue; discrete; eigenvalues and eigenfunctions; error analysis; error estimates; finite difference methods; five point discrete; Laplacian; nonlinear eigenvalue problems", treatment = "T Theoretical or Mathematical", } @Article{Johnston:1972:NSH, author = "R. L. Johnston and S. K. Pal", title = "The numerical solution of hyperbolic systems using bicharacteristics", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "377--392", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. Toronto, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bicharacteristics; convergence; convergence of numerical methods; dynamic elasticity; equations; equivalent integral system; first; hyperbolic systems; magnetohydrodynamics; numerical solution; order quasilinear; partial differential; partial differential equations; properties; stability", treatment = "T Theoretical or Mathematical", } @Article{Hoskins:1972:SPC, author = "W. D. Hoskins and P. J. Ponzo", title = "Some Properties of a Class of Band Matrices", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "393--400", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lancaster:1972:NDS, author = "P. Lancaster and H. K. Farahat", title = "Norms on Direct Sums and Tensor Products", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "401--414", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hulme:1972:OSP, author = "Bernie L. Hulme", title = "One-Step Piecewise Polynomial {Galerkin} Methods for Initial Value Problems", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "415--426", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A stable; boundary-value problems; collocation schemes; equations; Galerkin methods; Gauss Legendre; implicit Runge Kutta schemes; initial value problems; mesh points; nonlinear differential equations; nonlinear first order ordinary differential; one step piecewise; polynomial; polynomials; quadrature", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1972:SSE, author = "E. Gekeler", title = "On the solution of systems of equations by the epsilon algorithm of {Wynn}", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "427--436", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Mannheim, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence acceleration device; epsilon algorithm; iterative methods; linear algebra; Picard sequence; quadratically convergent iterative method; systems of equations; vector sequences; Wynn", treatment = "T Theoretical or Mathematical", } @Article{Paul:1972:AFA, author = "A. K. Paul", title = "Anharmonic Frequency Analysis", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "437--447", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Nat. Oceanic and Atmospheric Administration Environmental Res. Labs., Boulder, CO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amplitude; anharmonic frequency analysis; complex; discrete; frequencies; integral transform; numerical analysis; numerical method; phase change; selected narrow frequency band; time series", } @Article{Osler:1972:IAT, author = "Thomas J. Osler", title = "An Integral Analogue of {Taylor}'s Series and its Use in Computing {Fourier} Transforms", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "449--460", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/siggraph/pre75.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Strom:1972:MRQ, author = "Torsten Strom", title = "Monotonicity in {Romberg} Quadrature", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "461--465", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pelios:1972:MEC, author = "A. Pelios and R. W. Klopfenstein", title = "Minimal error constant numerical differentiation ({N.D.}) formulas", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "467--475", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "RCA, Labs., Princeton, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A stability; constant numerical differentiation; differentiation; linear; minimal error; multistep methods; second order operator", treatment = "T Theoretical or Mathematical", } @Article{Kahaner:1972:MND, author = "David K. Kahaner", title = "Minimum norm differentiation formulas with improved roundoff error bounds", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "477--485", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. California, Los Alamos, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differentiation; errors; minimum norm differentiation formulas; roundoff error bounds", treatment = "T Theoretical or Mathematical", } @Article{Belford:1972:UAV, author = "Geneva G. Belford", title = "Uniform approximation of vector-valued functions with a constraint", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "487--492", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characterization; constraint; function approximation; linear; space; uniform approximation; vector valued functions", treatment = "T Theoretical or Mathematical", } @Article{Weinstein:1972:UAT, author = "S. E. Weinstein", title = "Uniform Approximation Through Partitioning", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "493--503", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Utah, Salt Lake City, UT, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "alternation theorem; approximation; best uniform polynomial; characterization theorem; compact set; continuous function; function approximation; norm; norms; partitioning; pseudo; uniform approximation; univariate function", treatment = "T Theoretical or Mathematical", } @Article{Kahng:1972:BA, author = "S. W. Kahng", title = "Best $ {L}_p $ Approximation", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "505--508", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Johns Hopkins Univ., Silver Spring, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceleration; best L/sub p/ approximation; continuous function; convergence; convergence of numerical methods; discrete; finite interval; function approximation; Lawson's algorithm; Rice Usow extension; set", treatment = "T Theoretical or Mathematical", } @Article{Linz:1972:MCB, author = "Peter Linz", title = "A Method for Computing {Bessel} Function Integrals", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "509--513", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. California, Davis, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abel; Bessel function integrals; Fourier integrals; infinite integrals; integration; numerical computation; transform", treatment = "T Theoretical or Mathematical", } @Article{MacKinnon:1972:AEH, author = "Robert F. MacKinnon", title = "The asymptotic expansions of {Hankel} transforms and related integrals", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "515--527", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Defence Res. Establ., Pacific, Victoria, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansions; Bessel; functions; Hankel transforms; integrals; transforms", treatment = "T Theoretical or Mathematical", } @Article{Ling:1972:EM, author = "Chih-Bing Ling and Jung Lin", title = "On Evaluation of Moments of $ {K}_\nu (t) / {I}_\nu (t) $", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "529--537", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Virginia Politech. Inst., Blacksburg, VA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "evaluation; K/sub nu/(t)/I/sub; moments; nu/(t); numerical methods; Watson's method", treatment = "T Theoretical or Mathematical", } @Article{Hunter:1972:NEC, author = "D. B. Hunter and T. Regan", title = "A note on the evaluation of the complementary error function", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "539--541", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complementary error function; complex variable; evaluation; integration; method of Matta and Reichel; modification; numerical; stability", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1972:ACL, author = "B. C. Carlson", title = "An algorithm for computing logarithms and arctangents", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "543--549", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Iowa State Univ., Ames, IA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceleration; arctangents; auxiliary; Borchardt's algorithm; convergence; fast; function approximation; functions; inverse circular functions; inverse hyperbolic; iterative algorithm; logarithms; numerical methods; rational operations; recurrence relation; square roots", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1972:CZT, author = "K. S. Kolbig", title = "Complex zeros of two incomplete {Riemann} zeta functions", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "551--565", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4150 (Nonlinear and functional equations); C4160 (Numerical integration and differentiation)", corpsource = "CERN, Geneva, Switzerland", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex zeroes; computation; definition integral; incomplete Riemann zeta functions; integration; poles and zeros; trajectories; zero", treatment = "T Theoretical or Mathematical", } @Article{Borning:1972:SR, author = "Alan Borning", title = "Some Results for $ k ! \pm 1 $ and $ 2 \cdot 3 \cdot 5 \cdots p \pm 1 $", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "567--570", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. Idaho, Moscow, ID, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorizations; number theory; numerical methods; primality tests", treatment = "T Theoretical or Mathematical", } @Article{Borho:1972:TIK, author = "Walter Borho", title = "On {Thabit ibn Kurrah}'s formula for amicable numbers", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "571--578", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amicable numbers; number theory; numerical methods; primality; tests; Thabit ibn Kurrah's formula", treatment = "T Theoretical or Mathematical", } @Article{Lal:1972:E, author = "M. Lal and P. Gillard", title = "On the Equation $ \phi (n) = \phi (n + k) $", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "579--583", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4150 (Nonlinear and functional equations); C7310 (Mathematics computing)", corpsource = "Memorial Univ. Newfoundland, St. John's, Nfld., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "numerical methods; phi(n)=phi(n+k); solutions", treatment = "T Theoretical or Mathematical", } @Article{I:1972:BRC, author = "E. I.", title = "Book Review: {{\booktitle{Constructive Aspects of the Fundamental Theorem of Algebra}}, by B. Dejon and P. Henrici}", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "588--589", month = apr, year = "1972", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005189", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jan 28 10:29:58 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "https://www.jstor.org/stable/2005189", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1972:Cb, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "26", number = "118", pages = "601--601", month = apr, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kreiss:1972:DAB, author = "Heinz-Otto O. Kreiss", title = "Difference approximations for boundary and eigenvalue problems for ordinary differential equations", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "605--624", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Uppsala, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problem; boundary-value problems; difference approximations; difference equations; differential; differential equations; eigenvalue problems; eigenvalues and eigenfunctions; equations; ordinary", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1972:NMO, author = "H. Brunner", title = "A Note on Modified Optimal Linear Multistep Methods", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "625--631", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integration; iterative methods; modified optimal linear multistep methods; nonlinear differential equations; nonlinear ordinary differential equations; numerical", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1972:SLS, author = "James H. Bramble and Vidar Thomee", title = "Semidiscrete-Least Squares Methods for a Parabolic Boundary Value Problem", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "633--648", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4400 (Heat flow, thermal and thermodynamic processes); A4725Q (Convection and heat transfer); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Goteborg, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; boundary-value problems; cylinder; elliptic problem; heat equation; heat transfer; initial value problem; least squares; parabolic boundary value problem; partial differential equations; semidiscrete least squares methods; under homogeneous boundary conditions", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1972:STD, author = "Bertil Gustafsson and Heinz-Otto Kreiss and Arne Sundstr{\"o}m", title = "Stability theory of difference approximations for mixed initial boundary value problems. {II}", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "649--686", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Uppsala, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; difference approximations; difference equations; mixed initial; stability; stability theory", } @Article{Davis:1972:NSI, author = "P. J. Davis and P. Rabinowitz", title = "On the nonexistence of simplex integration rules for infinite integrals", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "687--688", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Brown Univ., Providence, RI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "infinite integrals; integration; nonexistence; simplex integration rules", treatment = "T Theoretical or Mathematical", } @Article{Kahaner:1972:NQA, author = "David K. Kahaner", title = "Numerical Quadrature by the $ \epsilon $-Algorithm", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "689--693", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; epsilon algorithm; integration; numerical quadrature", treatment = "T Theoretical or Mathematical", } @Article{Hetherington:1972:EBQ, author = "J. H. Hetherington", title = "An Error Bound for Quadratures", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "695--698", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Michigan State Univ., East Lansing, MI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic functions; error analysis; error bound; integration; length scale; quadratures", treatment = "T Theoretical or Mathematical", } @Article{Rowland:1972:ECS, author = "J. H. Rowland and Y. L. Varol", title = "Exit criteria for {Simpson}'s compound rule", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "699--703", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Univ. Wyoming, Laramie, Wy, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; exit criteria; integration; Simpson's compound rule; successive", treatment = "T Theoretical or Mathematical", } @Article{Kincaid:1972:MSO, author = "David R. Kincaid and David M. Young", title = "The modified successive overrelaxation method with fixed parameters", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "705--717", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; fixed parameters; linear algebra; modified successive overrelaxation method; norms; optimum parameters; spectral radius; virtual; virtual spectral radius", treatment = "T Theoretical or Mathematical", } @Article{Derr:1972:IIM, author = "Leroy J. Derr", title = "Inversion of Isoclinal Matrices", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "719--721", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Louisiana State Univ., New Orleans, LA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Hessenberg type matrices; inversion; isoclinal matrices; matrix algebra; nontriangular forms; triangular matrices", treatment = "T Theoretical or Mathematical", } @Article{McKinney:1972:GRM, author = "Earl H. McKinney", title = "Generalized Recursive Multivariate Interpolation", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "723--735", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ball State Univ., Muncie, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "functionals; general; generalized recursive multivariate interpolation; interpolating polynomials; interpolation; linear; minimal degree multivariate; multivariate basis functions; restricted multivariate interpolation", treatment = "T Theoretical or Mathematical", } @Article{Lewis:1972:CBM, author = "James T. Lewis", title = "Computation of Best Monotone Approximations", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "737--747", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Rhode Island, Kingston, RI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic polynomials with nonnegative rth; best monotone approximations; computation; continuous; derivative; discretization; function; function approximation; linear programming; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Cox:1972:NCM, author = "M. G. Cox", title = "A note on {Chambers}' method for finding a zero of a function", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "749--750", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Nat. Phys. Lab., Teddington, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chambers' method; function; function approximation; inverse; poles and zeros; quadratic interpolation; secant method; zero", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1972:ZIG, author = "K. S. Kolbig", title = "On the Zeros of the Incomplete Gamma Function", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "751--755", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "CERN, Geneva, Switzerland", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic formulae; complex w plane; function approximation; incomplete gamma function; poles and zeros; zeros", treatment = "T Theoretical or Mathematical", } @Article{Fields:1972:AEM, author = "Jerry L. Fields", title = "The asymptotic expansion of the {Meijer $G$}-function", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "757--765", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Alberta, Edmonton, Alta., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; function approximation; gamma function; identities; Meijer G-function", treatment = "T Theoretical or Mathematical", } @Article{Wagstaff:1972:FSI, author = "Samuel S. {Wagstaff, Jr.}", title = "On $k$-Free Sequences of Integers", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "767--771", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Univ. Rochester, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "digital arithmetic; k-free sequences of integers", treatment = "T Theoretical or Mathematical", } @Article{Wall:1972:DBS, author = "Charles R. Wall and Phillip L. Crews and Donald B. Johnson", title = "Density Bounds for the Sum of Divisors Function", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "773--777", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Texas A and M Univ., College Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "density of bounds; digital arithmetic; sum of divisors function", treatment = "T Theoretical or Mathematical", } @Article{Wall:1972:DBE, author = "Charles R. Wall", title = "Density Bounds for {Euler}'s Function", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "779--783", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "East Texas State Univ., Commerce, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "density bounds; digital arithmetic; Euler's function", treatment = "T Theoretical or Mathematical", } @Article{Cantor:1972:CFA, author = "David G. Cantor and Paul H. Galyean and Horst G. Zimmer", title = "A continued fraction algorithm for real algebraic numbers", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "785--791", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction algorithm; determination; function approximation; polynomial root; real algebraic numbers; sign", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1972:DPR, author = "Harald Niederreiter", title = "On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "793--795", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, classcodes = "C7890 (Other special applications of computing)", corpsource = "Univ. Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distribution; linear congruential method; number generation; pseudorandom; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1972:Cc, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "26", number = "119", pages = "815--815", month = jul, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Forsythe:1972:NCM, author = "George E. Forsythe", title = "{Von Neumann}'s comparison method for random sampling from the normal and other distributions", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "817--826", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Distributed/QLD.bib; Distributed/QLD/1972.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0240 (Probability and statistics); C1140 (Probability and statistics)", corpsource = "Stanford Univ., CA, USA", date = "13/05/93", descriptors = "RVG", enum = "7276", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distribution; normal; random sampling; sampled data systems; statistics; von Neumann's comparison method", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", treatment = "T Theoretical or Mathematical", } @Article{Goldfarb:1972:MMI, author = "D. Goldfarb", title = "Modification Methods for Inverting Matrices and Solving Systems of Linear Algebraic Equations", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "829--852", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "City Univ. New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Broyden's rank one modification; errors; formula; linear algebraic equations; matrix algebra; matrix inversion; modification methods; rounding; symmetric matrices", kwds = "nla, nlop, inverse matrix, linear system, updating", treatment = "T Theoretical or Mathematical", } @Article{Plemmons:1972:MIA, author = "Robert J. Plemmons", title = "Monotonicity and Iterative Approximations Involving Rectangular Matrices", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "853--858", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; convergent splittings; iterative approximations; iterative methods; least squares approximations; least squares solutions; matrices; matrix; monotonicity; Moore Penrose generalised inverse; rectangular; row monotone matrices", kwds = "nla, iter", treatment = "T Theoretical or Mathematical", } @Article{Varah:1972:SBT, author = "J. M. Varah", title = "On the Solution of Block-Tridiagonal Systems Arising from Certain Finite-Difference Equations", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "859--868", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. British Columbia, Vancouver, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bandsolve; block tridiagonal systems; blocksolve; difference equations; finite; matrix algebra", kwds = "nla, linear system, block tridiagonal matrix, block algorithm", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1972:PMD, author = "James H. Bramble and Todd Dupont and Vidar Thomee", title = "Projection methods for {Dirichlet}'s problem in approximating polygonal domains with boundary-value corrections", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "869--879", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; boundary value; boundary-value problems; corrections; Dirichlet's problem; Nitsche's method; polygonal domains; projection methods", treatment = "T Theoretical or Mathematical", } @Article{Hulme:1972:DGR, author = "Bernie L. Hulme", title = "Discrete {Galerkin} and related one-step methods for ordinary differential equations", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "881--891", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; discrete Galerkin method; one step methods; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Sincovec:1972:SEA, author = "Richard F. Sincovec", title = "On the solution of the equations arising from collocation with cubic {B}-splines", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "893--895", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Kansas State Univ., Manhattan, KS, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); boundary-value problems; collocation; convergence; convergence of numerical methods; cubic B-splines; iterative methods; iterative technique; nonlinear differential equations; oeder nonlinear boundary value problems; second; splines", treatment = "T Theoretical or Mathematical", } @Article{Seidman:1972:EFI, author = "Thomas I. Seidman and Robert J. Korsan", title = "Endpoint Formulas for Interpolatory Cubic Splines", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "897--900", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Maryland, Baltimore, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "endpoint formulas; interpolation; interpolatory cubic splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Merz:1972:RPH, author = "Gerhard Merz", title = "Remark on a Paper by {Huddleston}", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "901--902", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Osler:1972:IAL, author = "Thomas J. Osler", title = "The Integral Analog of the {Leibniz} Rule", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "903--915", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Rensselaar Polytech. Inst., Troy, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fractional derivatives; integral analogue; integration; Leibniz rule; Parseval's formula", treatment = "T Theoretical or Mathematical", } @Article{Lipow:1972:HSC, author = "Peter R. Lipow and Frank Stenger", title = "How Slowly Can Quadrature Formulas Converge?", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "917--922", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Montreal, Que., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergence of quadrature formulae; integration", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1972:COP, author = "Walter Gautschi", title = "The Condition of Orthogonal Polynomials", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "923--924", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Purdue Univ., Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "condition number; coordinate map; orthogonal polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Kress:1972:GHC, author = "R. Kress", title = "On the General {Hermite} Cardinal Interpolation", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "925--933", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Gottingen, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "general Hermite cardinal interpolation; integration; interpolation; quadrature formulae; series; Whittaker's cardinal function", treatment = "T Theoretical or Mathematical", } @Article{Gentleman:1972:OMC, author = "W. Morven Gentleman", title = "Optimal multiplication chains for computing a power of a symbolic polynomial", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "935--939", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Univ. Waterloo, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic formulae; optimal multiplication chains; polynomials; power; symbolic manipulation; symbolic polynomial", treatment = "T Theoretical or Mathematical", } @Article{Olver:1972:NBR, author = "F. W. J. Olver and D. J. Sookne", title = "Note on Backward Recurrence Algorithms", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "941--947", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Univ. Maryland, College Park, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backward recurrence algorithms; Bessel; Bessel functions; difference equations; functions; recessive solution; second order linear difference equation", treatment = "T Theoretical or Mathematical", } @Article{Parnes:1972:CZM, author = "R. Parnes", title = "Complex zeros of the modified {Bessel} function {$ K_n(Z) $}", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "949--953", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "City Univ., New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "and zeros; Bessel functions; complex zeros; interpolation; interpolation scheme; iterative; iterative methods; modified Bessel function; poles", treatment = "T Theoretical or Mathematical", } @Article{Strecok:1972:HPE, author = "A. J. Strecok and J. A. Gregory", title = "High Precision Evaluation of the Irregular {Coulomb} Wave Functions", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "955--961", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0365G (Solutions of wave equations: bound state in quantum theory); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Argonne Nat. Lab., IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; high precision evaluation; irregular Coulomb wave functions; numerical methods; wave functions", treatment = "T Theoretical or Mathematical", } @Article{Kim:1972:AEH, author = "Shoon K. Kim", title = "The Asymptotic Expansion of a Hypergeometric Function $_2 {F}_2 (1, \alpha; \rho_1, \rho_2; z)$", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "963--963", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1972:EAF, author = "Henry E. Fettis", title = "An Explicit Addition Formula for the Inverse {Jacobian} Elliptic Functions", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "965--967", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Srivastava:1972:UPC, author = "H. M. Srivastava and J. P. Singhal", title = "A unified presentation of certain classical polynomials", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "969--975", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Victoria, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "classical polynomials; Hermite polynomials; Jacobi polynomials; Laguerre polynomials; orthogonal; polynomials; unified presentation", treatment = "T Theoretical or Mathematical", } @Article{Cusick:1972:DAT, author = "T. W. Cusick", title = "{Diophantine} approximation of ternary linear forms. {II}", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "977--993", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "State Univ. New York, Buffalo, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine approximation; function approximation; ternary linear forms", treatment = "T Theoretical or Mathematical", } @Article{Williams:1972:SPN, author = "H. C. Williams and C. R. Zarnke", title = "Some Prime Numbers of the Forms $ 2 {A3}^n + 1 $ and $ 2 {A3}^n - 1 $", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "995--998", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cheema:1972:NIC, author = "M. S. Cheema and W. E. Conway", title = "Numerical investigation of certain asymptotic results in the theory of partitions", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "999--1005", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Arizona, Tucson, AZ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; error analysis; errors; formulas; numerical investigation; theory of partitions", treatment = "T Theoretical or Mathematical", } @Article{Mossige:1972:TIP, author = "Svein Mossige", title = "Table of Irreducible Polynomials Over $ \mathrm {GF} \lbrack 2 \rbrack $ of Degrees 10 Through 20", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "1007--1009", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brillhart:1972:NRP, author = "John Brillhart", title = "Note on Representing a Prime as a Sum of Two Squares", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "1011--1013", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1972:Cd, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "26", number = "120", pages = "1031--1031", month = oct, year = "1972", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chorin:1973:AEW, author = "Alexandre Joel Chorin", title = "Accurate Evaluation of {Wiener} Integrals", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "1--15", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 25 07:32:41 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigendum \cite{Chorin:1973:CAE}.", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accurate evaluation; fold integrals; integration; n-; quadrature formula; Wiener integrals", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:FEC, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "A finite element collocation method for quasilinear parabolic equations", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "17--28", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous time collocation; cubic polynomial functions; equations; finite element collocation method; Hermite piecewise; numerical analysis; partial differential equations; quasilinear parabolic", treatment = "T Theoretical or Mathematical", } @Article{Browning:1973:MR, author = "Gerald Browning and Heinz-Otto Kreiss and Joseph Oliger", title = "Mesh Refinement", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "29--39", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Goldberg:1973:NSI, author = "Moshe Goldberg", title = "A note on the stability of an iterative finite-difference method for hyperbolic systems", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "41--44", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tel-Aviv Univ., Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation law form; difference equations; differential equations; hyperbolic systems; iterative finite difference method; iterative methods; linear stability criteria; partial; stability; stability criteria", treatment = "T Theoretical or Mathematical", } @Article{Fornberg:1973:ILF, author = "B. Fornberg", title = "On the Instability of Leap-Frog and {Crank--Nicolson} Approximations of a Nonlinear Partial Differential Equation", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "45--57", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{McAllister:1973:DGF, author = "G. T. McAllister and E. F. Sabotka", title = "Discrete {Green}'s Functions", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "59--80", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hilbert:1973:MUA, author = "Stephen Hilbert", title = "A Mollifier Useful for Approximations in {Sobolev} Spaces and Some Applications to Approximating Solutions of Differential Equations", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "81--89", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Ithaca Coll., NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximating; approximations in Sobolev spaces; differential equations; function approximation; Hermite interpolation; interpolation; mollifier (class of smoothing functions); second order elliptic Neumann problem; smoothing functions; solutions; spline interpolation", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1973:LES, author = "L. F. Shampine", title = "Local extrapolation in the solution of ordinary differential equations", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "91--97", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; boundary-value problems; differential equations; function; initial value problem; local error estimators; local extrapolation; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Netravali:1973:SAS, author = "Arun N. Netravali", title = "Spline approximation to the solution of the {Volterra} integral equation of the second kind", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "99--106", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Bell Labs., Holmdel, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; cubic spline approximation; equations; error analysis; error bounds; integral; splines (mathematics); Volterra integral equation of second kind", treatment = "T Theoretical or Mathematical", } @Article{MacLeod:1973:ICC, author = "Malcolm A. MacLeod", title = "Improved computation of cubic natural splines with equi-spaced knots", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "107--109", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Air Force Cambridge Res. Labs., Bedford, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; continuity equation; cubic natural splines; equispaced knots; interpolating; polynomials; recursive solution; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Lee:1973:CAR, author = "C. M. Lee and F. D. K. Roberts", title = "A Comparison of Algorithms for Rational $ l_\infty $ Approximation", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "111--121", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigenda \cite{Lee:1979:CCA}.", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Alberta, Edmonton, Alta., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "comparison; differential correction algorithms; function approximation; infinity/ approximation algorithms; linear inequality algorithm; Loeb's algorithm; Maehly's algorithm; Osborne Watson algorithm; rational l/sub; Remes algorithm", treatment = "T Theoretical or Mathematical", } @Article{Cody:1973:CAP, author = "W. J. Cody and Anthony J. Strecok and Henry C. {Thacher, Jr.}", title = "{Chebyshev} Approximations for the Psi Function", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "123--127", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65-06 (68-06)", MRnumber = "50 6095", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Argonne Nat. Lab., IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev approximations; digamma function; psi function", treatment = "T Theoretical or Mathematical", } @Article{Laurenzi:1973:DWF, author = "Bernard J. Laurenzi", title = "Derivatives of {Whittaker} Functions $ {W}_{k, 1 / 2} $ and $ {M}_{k, 1 / 2} $ with Respect to Order $ {K} $", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "129--132", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Erdelsky:1973:CBD, author = "P. J. Erdelsky", title = "Computing the {Brouwer} Degree in $ {R}^2 $", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "133--137", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rheinboldt:1973:SAP, author = "Werner C. Rheinboldt and James S. Vandergraft", title = "A Simple Approach to the {Perron--Frobenius} Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "139--145", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "la, eig, nonnegative matrix", } @Article{Rissanen:1973:ATD, author = "J. Rissanen", title = "Algorithms for Triangular Decomposition of Block {Hankel} and {Toeplitz} Matrices with Application to Factoring Positive Matrix Polynomials", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "147--154", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "IBM Corp., San Jose, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block Hankel matrices; block Toeplitz matrices; factoring; matrix algebra; polynomials; positive matrix; triangular decomposition", kwds = "nla, lud, block algorithm, block Hankel matrix, block Toeplitz matrix, matrix polynomial", treatment = "T Theoretical or Mathematical", } @Article{Blackburn:1973:CCG, author = "John E. Blackburn and Henry H. Crapo and Denis A. Higgs", title = "A Catalogue of Combinatorial Geometries", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "155--166", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brown:1973:IGI, author = "H. Brown and J. Neubuser and H. Zassenhaus", title = "On Integral Groups. {III}: Normalizer", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "167--182", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1973:QFF, author = "Daniel Shanks and Richard Serafin", title = "Quadratic Fields with Four Invariants Divisible by $3$", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "183--187", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{teRiele:1973:NCD, author = "H. J. J. {te Riele}", title = "A Note on the {Catalan--Dickson} Conjecture", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "189--192", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 25 07:33:41 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigendum \cite{Chorin:1973:CAE}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Webb:1973:NRW, author = "William A. Webb", title = "Numerical Results for {Waring}'s Problem in $ \mathrm {GF} \lbrack q, x \rbrack $", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "193--196", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chamayou:1973:PAD, author = "Jean-Marie-Fran{\c{c}}ois Chamayou", title = "A Probabilistic Approach to a Differential-Difference Equation Arising in Analytic Number Theory", journal = j-MATH-COMPUT, volume = "27", number = "121", pages = "197--203", month = jan, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Babuska:1973:FEM, author = "Ivo Babu{\v{s}}ka", title = "The Finite Element Method with Penalty", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "221--228", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Univ. Maryland, Coll. Park, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; finite element analysis; finite element method; homogeneous Dirichlet boundary conditions; penalty method; Poisson equation; rate of", treatment = "T Theoretical or Mathematical", } @Article{Baker:1973:SPE, author = "Garth A. Baker", title = "Simplified proofs of error estimates for the least squares method for {Dirichlet}'s problem", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "229--235", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Dirichlet's problem; error analysis; error estimates; interpolation; least squares approximations; least squares method; linear operators on Hilbert spaces; projection method; simplified proofs; theorems", treatment = "T Theoretical or Mathematical", } @Article{Buzbee:1973:NCP, author = "B. L. Buzbee and Alfred Carasso", title = "On the numerical computation of parabolic problems for preceding times", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "237--266", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. California, Los Alamos, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; difference scheme; equations; error analysis; error bounds; numerical computation; parabolic problems; partial differential; preceding times; selfadjoint", treatment = "T Theoretical or Mathematical", } @Article{Nosrati:1973:MBF, author = "H. Nosrati", title = "A modified {Butcher} formula for integration of stiff systems of ordinary differential equations", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "267--272", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "MBLE Res. Lab., Brussels, Belgium", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; error analysis; integration; local truncation error; modified Butcher formula; ordinary differential equations; stiff systems; trapezoidal", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1973:EME, author = "J. N. Lyness and K. K. Puri", title = "The {Euler--Maclaurin} Expansion for the Simplex", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "273--293", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Argonne Nat. Lab., IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Euler Maclaurin expansion; integration; simplex", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1973:AEP, author = "Frank {de Hoog} and Richard Weiss", title = "Asymptotic Expansions for Product Integration", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "295--306", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Australian Nat. Univ., Canberra, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansions; convergence of numerical methods; convergence rates; Euler; Fredholm; integral equations; integration; interpolation; Lagrangian interpolation; Maclaurin; methods; numerical; piecewise; product integration; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Hetherington:1973:NEB, author = "J. H. Hetherington", title = "Note on Error Bounds for Numerical Integration", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "307--316", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Michigan State Univ., East Lansing, MI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; error bounds; integration; interpolation; interpolative integration schemes; numerical integration; sketchability", treatment = "T Theoretical or Mathematical", } @Article{Munteanu:1973:MCL, author = "M. J. Munteanu and L. L. Schumaker", title = "On a method of {Carasso} and {Laurent} for constructing interpolating splines", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "317--325", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Maryland, Baltimore, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "interpolating splines; interpolation; numerical construction; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Braess:1973:CAE, author = "Dietrich Braess", title = "{Chebyshev} approximation by exponentials on finite subsets", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "327--331", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Westfalische Wilhelms-Univ., Munster, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; convergence; convergence of numerical methods; exponentials; finite subsets; topology; varisolvency", treatment = "T Theoretical or Mathematical", } @Article{Petty:1973:WNA, author = "J. V. Petty", title = "A winding number algorithm for closed polygonal paths", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "333--337", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods); C7310 (Mathematics computing)", corpsource = "Texas Instruments Inc., Dallas, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; closed polygonal paths; complex; computer program; numerical analysis; winding number algorithm", treatment = "T Theoretical or Mathematical", } @Article{Aberth:1973:IMF, author = "Oliver Aberth", title = "Iteration methods for finding all zeros of a polynomial simultaneously", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "339--344", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Texas A and M Univ. Coll. Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "all zeros; cubically convergent; iteration methods; iterative methods; poles and zeros; polynomial; polynomials; simultaneously.", treatment = "T Theoretical or Mathematical", } @Article{Page:1973:CSE, author = "R. L. Page", title = "On computing some extremal periodic positive-definite functions", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "345--353", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "definite functions; extremal; function evaluation; integration; maximizing; optimisation; periodic; positive; square integral", treatment = "T Theoretical or Mathematical", } @Article{Paige:1973:EAM, author = "C. C. Paige", title = "An Error Analysis of a Method for Solving Matrix Equations", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "355--359", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "McGill Univ., Montreal, Que., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; mathematical; mathematical programming; matrix algebra; programming; solving matrix equations", kwds = "nla, underdetermined system, rounding error", treatment = "T Theoretical or Mathematical", } @Article{Sag:1973:CMN, author = "T. W. Sag and J. W. Wamsley", title = "On Computing the Minimal Number of Defining Relations for Finite Groups", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "361--368", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Math/algebra.bib", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Flinders Univ. South Australia, Bedford Park, SA, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "finite groups; fixed generating system; group theory; minimal number of defining relations; multiplicator; Schur; supersolvable group", treatment = "T Theoretical or Mathematical", } @Article{Boyd:1973:AGS, author = "David W. Boyd", title = "An Algorithm for Generating the Sphere Coordinates in a Three-Dimensional Osculatory Packing", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "369--377", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. British Columbia, Vancouver, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; generating; graph theory; osculatory packing; sphere coordinates; three dimensional", treatment = "T Theoretical or Mathematical", } @Article{Spira:1973:CRD, author = "Robert Spira", title = "Calculation of the {Ramanujan} $ \tau $-{Dirichlet} Series", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "379--385", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Michigan State Univ., East Lansing, MI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "calculation; Ramanujan tau Dirichlet; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1973:VII, author = "Wells Johnson", title = "On the vanishing of the {Iwasawa} invariant $ \mu p $ for $ p < 8000 $", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "387--396", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Bowdoin Coll., Brunswick, ME, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "8000; irregular primes; Iwasawa invariant; less than; number theory; vanishing", } @Article{Lander:1973:TT, author = "L. J. Lander", title = "Three Thirteens", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "397--397", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Control Data Corp., Minneapolis, MN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; sets of thirteen integers; Tarry Escott problem", treatment = "T Theoretical or Mathematical", } @Article{Wunderlich:1973:GPL, author = "M. C. Wunderlich", title = "On the {Gaussian} Primes on the Line $ \mathrm {IM}({X}) = 1 $", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "399--400", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Northern Illinois Univ., De Kalb, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Gaussian primes; number of primes; number theory", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1973:CZE, author = "Henry E. Fettis and James C. Caslin and Kenneth R. Cramer", title = "Complex zeros of the error function and of the complementary error function", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "401--407", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Wright-Patterson Air Force Base, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic formula; complementary error function; complex zeros; error function; errors; first one hundred zeros; function evaluation; poles and zeros", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1973:SPC, author = "Henry E. Fettis and James C. Caslin and Kenneth R. Cramer", title = "Saddle Points of the Complementary Error Function", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "409--412", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; complementary error function; errors; formula; function evaluation; poles and zeros; saddle points", treatment = "T Theoretical or Mathematical", } @Article{Amos:1973:BIC, author = "D. E. Amos", title = "Bounds on Iterated Coerror Functions and Their Ratios", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "413--427", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wong:1973:AEL, author = "R. Wong", title = "An Asymptotic Expansion of $ {W}_{k, m}(z) $ with Large Variable and Parameters", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "429--436", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1973:Ca, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "27", number = "122", pages = "453--453", month = apr, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shapiro:1973:IVI, author = "Harold N. Shapiro", title = "Integer Vectors with Interprimed Components", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "455--462", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "New York Univ., NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integer vectors; interprimed components; positive integers; vectors", treatment = "T Theoretical or Mathematical", } @Article{Cannon:1973:IAT, author = "John J. Cannon and Lucien A. Dimino and George Havas and Jane M. Watson", title = "Implementation and Analysis of the {Todd--Coxeter} Algorithm", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "463--490", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Math/algebra.bib", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Australian Nat. Univ., Canberra, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; finitely presented groups; group theory; implementation; lookahead algorithm; permutation representation; todd-coxeter", reviews = "MR 49 # 390 (Hale F. Trotter), Zbl 314.20028 (C.G. Chehata), Comput. Information Systems 11 \# 77264C", treatment = "T Theoretical or Mathematical", } @Article{Rose:1973:MAF, author = "Kermit Rose and Simcha Brudno", title = "More About Four Biquadrates Equal One Biquadrate", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "491--494", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis); C5230 (Digital arithmetic methods); C7310 (Mathematics computing)", corpsource = "Florida State Univ., Tallahassee, FL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer; digital arithmetic; four biquadrates equal one biquadrate; numerical; numerical methods; regularities; solutions", treatment = "P Practical", } @Article{McNolty:1973:SPD, author = "Frank McNolty", title = "Some probability density functions and their characteristic functions", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "495--504", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0240 (Probability and statistics); C1140 (Probability and statistics)", corpsource = "Lockheed Palo Alto Res. Lab., CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel function; characteristic functions; functions; hypergeometric function; probability; probability density functions", treatment = "T Theoretical or Mathematical", } @Article{Abarbanel:1973:HOA, author = "S. Abarbanel and D. Gottlieb", title = "Higher order accuracy finite difference algorithms for quasi-linear, conservation law hyperbolic systems", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "505--523", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tel-Aviv Univ., Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation law; difference equations; equations; finite difference algorithms; higher order accuracy; hyperbolic systems; partial differential; partial differential equations; quasilinear; stability", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1973:RCE, author = "J. H. Bramble and J. E. Osborn", title = "Rate of convergence estimates for nonselfadjoint eigenvalue approximations", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "525--549", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; approximations; compact operators; convergence of numerical methods; differential equations; eigenfunctions; eigenvalue; eigenvalues and eigenfunctions; function approximation; nonselfadjoint; rate of convergence estimates; subspaces", treatment = "T Theoretical or Mathematical", } @Article{Pruess:1973:SLB, author = "Steven A. Pruess", title = "Solving linear boundary value problems by approximating the coefficients", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "551--561", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximating the; approximation theory; boundary-value problems; coefficients; differential operator; error; error estimates; linear boundary value problems; piecewise polynomial functions; solving; Taylor series techniques", treatment = "T Theoretical or Mathematical", } @Article{Guzek:1973:NEA, author = "Joseph A. Guzek and Gene A. Kemper", title = "A new error analysis for a cubic spline approximate solution of a class of {Volterra} integro-differential equations", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "563--570", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Univ. North Dakota, Grand Forks, ND, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); cubic spline approximate solution; error analysis; integro-differential equations; method; numerical; splines; Volterra integro differential equations", treatment = "T Theoretical or Mathematical", } @Article{Castleton:1973:FOM, author = "R. N. Castleton and L. J. Grimm", title = "A first order method for differential equations of neutral type", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "571--577", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lawrence Livermore Lab., CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; differential equations; first order method; implicit delay; initial value; neutral type; numerical", treatment = "T Theoretical or Mathematical", } @Article{Bjorck:1973:NMC, author = "{\AA}ke Bj{\"o}rck and Gene H. Golub", title = "Numerical Methods for Computing Angles between Linear Subspaces", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "579--594", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30", MRnumber = "50 1485", MRreviewer = "J. Legras", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0240 (Probability and statistics); B0290H (Linear algebra); C1140 (Probability and statistics); C4140 (Linear algebra)", corpsource = "Link{\"o}ping Univ., Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "angles between linear; canonical; computing; correlations; matrix algebra; numerical methods; rectangular matrices; statistics; subspaces", kwds = "math, nla, gsvd, canonical angles, subspace metric", treatment = "T Theoretical or Mathematical", } @Article{Pereyra:1973:ECM, author = "V. Pereyra and G. Scherer", title = "Efficient computer manipulation of tensor products with applications to multidimensional approximation", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "595--605", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Univ. Central Venezuela, Caracas, Venezuela", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; computer manipulation; function approximation; linear functionals; multidimensional; tensor products; tensors", treatment = "T Theoretical or Mathematical", } @Article{Watson:1973:CBL, author = "G. A. Watson", title = "The calculation of best linear one-sided {$ L^p $} approximations", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "607--620", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Univ. Dundee, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; best linear; calculation; convex programming; differential equations; equations; L/sub p/ approximations; linear; mathematical; matrix algebra; one sided; ordinary differential; programming", treatment = "T Theoretical or Mathematical", } @Article{Hays:1973:MDE, author = "Richard O. Hays", title = "Multi-Dimensional Extensions of the {Chebyshev} Polynomials", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "621--624", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Floyd Junior Coll., Rome, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev polynomials; multidimensional extensions; polynomials; recursion relationships", treatment = "T Theoretical or Mathematical", } @Article{Eisenhart:1973:CHP, author = "Laurance C. Eisenhart and George E. {Trapp, Jr.}", title = "Computation of {Hermite} Polynomials", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "625--632", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Westinghouse Electric Corp., West Mifflin, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate; approximation theory; computation; differential equations; Hermite polynomials; polynomials; projection methods", } @Article{Kammler:1973:CPC, author = "David W. Kammler", title = "{Chebyshev} polynomials corresponding to a semi-infinite interval and an exponential weight factor", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "633--637", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Southern Illinois Univ., Carbondale, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Chebyshev approximation; Chebyshev polynomials; exponential weight factor; numerical values; poles and zeros; polynomials; semi infinite interval; zeros", treatment = "T Theoretical or Mathematical", } @Article{Newbery:1973:EAF, author = "A. C. R. Newbery", title = "Error Analysis for {Fourier} Series Evaluation", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "639--644", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Kentucky, Lexington, KY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; evaluation; floating point; Fourier series evaluation; numerical methods; polynomials; recursive method; series (mathematics); trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Salkauskas:1973:AIC, author = "K. Salkauskas", title = "Almost-Interpolatory {Chebyshev} Quadrature", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "645--654", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Calgary, Alta., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "almost interpolatory; Chebyshev approximation; Chebyshev, quadrature; degenerate; integration; minimiser; numerical computations", treatment = "T Theoretical or Mathematical", } @Article{Lether:1973:CEB, author = "F. G. Lether", title = "Cubature Error Bounds for Analytic Functions", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "655--668", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Georgia, Athens, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic functions; cubature error bounds; domains; error analysis; integrated; integration; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Wrench:1973:ECT, author = "John W. Wrench", title = "Erratum: {Concerning Two Series for the Gamma Function}", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "681--682", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, citedby = "Fullerton:1980:BEM", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "Fullerton: Minor last-digit rounding errors are reported.", } @Article{Anonymous:1973:Cb, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "27", number = "123", pages = "683--683", month = jul, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brandt:1973:GLM, author = "Achi Brandt", title = "Generalized local maximum principles for finite-difference operators", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "685--718", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Weizmann Inst. Sci., Rehovot, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; difference operator; differential equations; generalized local maximum principles; maximum principle; nonlinear", treatment = "T Theoretical or Mathematical", } @Article{Dushane:1973:CVM, author = "Theodore E. Dushane", title = "Convergence for a Vortex Method for Solving {Euler}'s Equation", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "719--728", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Turkel:1973:SFD, author = "Eli Turkel", title = "Symmetrization of the Fluid Dynamic Matrices with Applications", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "729--736", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ford:1973:SCD, author = "William H. Ford and T. W. Ting", title = "Stability and convergence of difference approximations to pseudo-parabolic partial differential equations", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "737--743", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Clemson Univ., SC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; difference approximations; difference equations; differential equations; equations; partial; partial differential; pseudo parabolic; stability", treatment = "T Theoretical or Mathematical", } @Article{Venit:1973:MRP, author = "Stewart Venit", title = "Mesh refinements for parabolic equations of second order", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "745--754", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "California State Univ., Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; implicit difference approximations; mesh refinements; nonlinear differential equations; parabolic equations; second order", treatment = "T Theoretical or Mathematical", } @Article{Troesch:1973:EEM, author = "B. A. Troesch and H. R. Troesch", title = "Eigenfrequencies of an Elliptic Membrane", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "755--765", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Troesch:1973:EMS, author = "B. Andreas Troesch", title = "Elliptical Membranes with Smallest Second Eigenvalue", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "767--772", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Madsen:1973:PEB, author = "Niel K. Madsen", title = "A Posteriori Error Bounds for Numerical Solutions of the Neutron Transport Equation", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "773--780", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Carrano:1973:MBM, author = "F. M. Carrano", title = "A modified {Bairstow} method for multiple zeros of a polynomial", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "781--792", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Univ. Rhode Island, Kingston, RI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "and zeros; convergence of numerical methods; converges; high; iterative methods; modified Bairstow method; multiple zeros; numerical; order partial derivatives; poles; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1973:ONM, author = "J. C. Butcher", title = "The order of numerical methods for ordinary differential equations", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "793--806", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Auckland, New Zealand", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; differential equations; linear multistep; numerical methods; order; ordinary differential equations; Runge Kutta", treatment = "T Theoretical or Mathematical", } @Article{Micula:1973:ASD, author = "G. Micula", title = "Approximate Solution of the Differential Equation $ y'' = f(x, y) $ with Spline Functions", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "807--816", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cohen:1973:PAF, author = "Edgar A. {Cohen, Jr.}", title = "Polynomial approximation of a function and its first derivative in near minimax norms", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "817--827", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Naval Ordnance Lab., Silver Spring, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "first derivative; function; function approximation; minimax norms; near; polynomial approximation; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Hoskins:1973:BES, author = "W. D. Hoskins", title = "Boundary Expansions for Spline Interpolation", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "829--830", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary expansions; expansions; interpolation; multipoint; spline interpolation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Andria:1973:IFS, author = "George D. Andria and George D. Byrne and David R. Hill", title = "Integration Formulas and Schemes Based on $g$-Splines", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "831--838", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Pittsburgh, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block implicit; g-splines; integration; integration formulas; interpolatory; numerical; numerical methods; predictor corrector; predictor-corrector methods; schemes; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Wrigge:1973:EII, author = "H. S. Wrigge", title = "An Elliptic Integral Identity", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "839--840", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chisholm:1973:RAD, author = "J. S. R. Chisholm", title = "Rational Approximants Defined from Double Power Series", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "841--848", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Phillips:1973:EAD, author = "James L. Phillips", title = "Error analysis for direct linear integral equation methods", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "849--859", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Washington State Univ., Piellman, WA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "direct linear integral equation methods; error analysis; integral equations; projection methods", treatment = "T Theoretical or Mathematical", } @Article{Danloy:1973:NCG, author = "Bernard Danloy", title = "Numerical Construction of {Gaussian} Quadrature Formulas for {$ \int^1_0 ( - \Log x) \cdot x^\alpha \cdot f(x) \cdot \, d x $} and $ \int^\infty_0 {E}_m(x) \cdot f(x) \cdot \, d x $", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "861--869", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Linz:1973:NCI, author = "Peter Linz and T. E. Kropp", title = "A note on the computation of integrals involving products of trigonometric and {Bessel} functions", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "871--872", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. California, Davies, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; computation; integration; numerical; numerical methods; products; trigonometric", treatment = "T Theoretical or Mathematical", } @Article{Oren:1973:SSV, author = "Shmuel S. Oren", title = "Self-Scaling Variable Metric Algorithms without Line Search for Unconstrained Minimization", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "873--885", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Stanford Univ., CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; line search; minimisation; no; self scaling; unconstrained minimization; variable metric algorithms", treatment = "T Theoretical or Mathematical", } @Article{Howell:1973:AERa, author = "Jo Ann Howell", title = "An algorithm for the exact reduction of a matrix to {Frobenius} form using modular arithmetic. {I}", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "887--904", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra); C5230 (Digital arithmetic methods)", corpsource = "Univ. Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; arithmetic; digital arithmetic; exact reduction; Frobenius form; matrix; matrix algebra; modular", treatment = "T Theoretical or Mathematical", } @Article{Howell:1973:AERb, author = "Jo Ann Howell", title = "An algorithm for the exact reduction of a matrix to {Frobenius} form using modular arithmetic. {II}", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "905--920", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra); C5230 (Digital arithmetic methods)", corpsource = "Univ. California, Los Alamos, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; arithmetic; digital arithmetic; exact reduction; Frobenius form; matrix; matrix algebra; modular", treatment = "T Theoretical or Mathematical", } @Article{Lardy:1973:EGS, author = "L. J. Lardy", title = "An Extrapolated {Gauss--Seidel} Iteration for {Hessenberg} Matrices", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "921--926", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Syracuse Univ., NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "extrapolated; extrapolation; Gauss Seidel iterative; Hessenberg matrices; iterative methods; linear equations; matrix algebra; process", treatment = "T Theoretical or Mathematical", } @Article{Ahrens:1973:EFM, author = "J. H. Ahrens and U. Dieter", title = "Extensions of {Forsythe}'s method for random sampling from the normal distribution", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "927--937", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Distributed/QLD.bib; Distributed/QLD/1973.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, country = "USA", date = "13/05/93", descriptors = "RVG", enum = "6927", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", } @Article{Dutt:1973:NAF, author = "J. E. Dutt and T. K. Lin and L. C. Tao", title = "New Approximations to Familiar Functions", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "939--942", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tuckerman:1973:SPL, author = "Bryant Tuckerman", title = "A search procedure and lower bound for odd perfect numbers", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "943--949", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "IBM Thomas J. Watson Res. Centre, Yorktown Heights, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "lower bound; number theory; odd perfect numbers; search procedure", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1973:LBS, author = "Peter {Hagis, Jr.}", title = "A Lower Bound for the Set of Odd Perfect Numbers", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "951--953", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Temple Univ. Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "lower bound; number theory; set of odd perfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1973:LPD, author = "Peter {Hagis, Jr.} and Wayne L. McDaniel", title = "On the largest prime divisor of an odd perfect number", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "955--957", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Temple Univ., Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "largest prime divisor; number theory; odd perfect number", treatment = "T Theoretical or Mathematical", } @Article{Brent:1973:FOL, author = "Richard P. Brent", title = "The first occurrence of large gaps between successive primes", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "959--963", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Australian Nat. Univ., Canberra, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite numbers; first occurrence; large gaps; number theory; string; successive primes", treatment = "T Theoretical or Mathematical", } @Article{Morris:1973:CPF, author = "P. A. Morris", title = "Computational Problems in $ {S}$-Function Theory", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "965--971", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hudson:1973:NDC, author = "Richard H. Hudson", title = "A Note on {Dirichlet} Characters", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "973--975", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stahnke:1973:PBP, author = "Wayne Stahnke", title = "Primitive Binary Polynomials", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "977--980", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stauduhar:1973:DGG, author = "Richard P. Stauduhar", title = "The Determination of {Galois} Groups", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "981--996", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chorin:1973:CAE, author = "Alexandre J. Chorin and Daniel Shanks", title = "Corrigenda: {{\em Accurate Evaluation of Wiener Integrals}} and {{\em A Note on the Catalan--Dickson Conjecture}}", journal = j-MATH-COMPUT, volume = "27", number = "124", pages = "1011--1012", month = oct, year = "1973", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 25 07:33:46 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Thomee:1974:CRP, author = "Vidar Thomee and Lars Wahlbin", title = "Convergence rates of parabolic difference schemes for non-smooth data", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "1--13", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Goteborg, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence of numerical methods; convergence rates; difference equations; initial; parabolic difference schemes; partial differential equations; value problem", treatment = "T Theoretical or Mathematical", } @Article{Oliger:1974:FOD, author = "Joseph Oliger", title = "Fourth order difference methods for the initial boundary-value problem for hyperbolic equations", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "15--25", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Nat. Center Atmospheric Res., Boulder, CO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; centred difference approximations; fourth order difference methods; hyperbolic equations; initial boundary value; partial differential equations; problem", treatment = "T Theoretical or Mathematical", } @Article{Watanabe:1974:IFO, author = "Daniel S. Watanabe and J. Richard Flood", title = "An implicit fourth order difference method for viscous flows", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "27--32", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary-value problems; Burger's equation; Fourier stability; implicit fourth order difference method; partial differential equations; Simpson's rule; two point Hermite interpolation; unconditionally stable; viscous flows", treatment = "T Theoretical or Mathematical", } @Article{Johnston:1974:NSL, author = "R. L. Johnston and S. K. Pal", title = "Numerical solution of {Lundquist} equations of magnetohydrodynamics", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "33--44", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A8630L (Electrogasdynamic and magnetohydrodynamic conversion)B0290P (Differential equations); B8430 (Magnetohydrodynamic conversion); C4170 (Differential equations)", corpsource = "Univ. Toronto, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bicharacteristics; boundary-value problems; differential equations; initial pressure problem; magnetohydrodynamics; multidimensional; nonlinear Lundquist equations; partial", treatment = "T Theoretical or Mathematical", } @Article{Hinata:1974:NSP, author = "Masahiro Hinata and Masaaki Shimasaki and Takeshi Kiyono", title = "Numerical solution of {Plateau}'s problem by a finite element method", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "45--60", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Nippon Electric Co. Ltd., Kawasaki, Japan", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; differential equations; finite element analysis; finite element method; free boundary; hysteresis effect; partial; Plateau's problem; problem", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1974:GSG, author = "H. Brunner", title = "Global solution of the generalized {Abel} integral equation by implicit interpolation", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "61--67", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; error bounds; extended; generalized Abel integral equation; global solution; implicit interpolation; integral equations; interpolation; piecewise polynomials; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Nashed:1974:CRA, author = "M. Z. Nashed and Grace Wahba", title = "Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "69--80", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Georgia Inst. Technol., Atlanta, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abstract; approximate least squares solutions; convergence of numerical methods; convergence rates; discretization; Hilbert Schmidt integral operator; Hilbert spaces; integral equations; least; linear integral and operator equations; moment; squares approximations", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1974:CTB, author = "J. N. Lyness", title = "Computational techniques based on the {Lanczos} representation", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "81--123", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Argonne Nat. Lab., IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational techniques; convergence; divergence; Euler/Maclaurin series; Fourier analysis; Fourier coefficients; function approximation; Lanczos representation; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1974:CTQ, author = "Walter Gautschi and Hiroki Yanagiwara", title = "On {Chebyshev}-Type Quadratures", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "125--134", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Purdue Univ., Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equations; Chebyshev approximation; Chebyshev type quadratures; integration; multiple node; n point Chebyshev quadrature formulas; single", treatment = "T Theoretical or Mathematical", } @Article{Piessens:1974:NOA, author = "Robert Piessens and Maria Branders", title = "A note on the optimal addition of abscissas to quadrature formulas of {Gauss} and {Lobatto} type", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "135--139", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See supplement \cite{Piessens:1974:SNO}.", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Katholieke Univ., Leuven, Belgium", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; Gauss; integration; Lobatto; optimal addition of abscissas; quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1974:LPD, author = "L. F. Shampine", title = "Limiting Precision in Differential Equation Solvers", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "141--144", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "codes; dependent limits; differential equation solvers; differential equations; limiting precision; local error tolerance; machine; step size", treatment = "T Theoretical or Mathematical", } @Article{Prothero:1974:SAO, author = "A. Prothero and A. Robinson", title = "On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "145--162", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Shell Res. Ltd., Chester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; equations; initial value problems; nonlinear differential equations; one step methods; ordinary differential; stability; stiff nonlinear; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Williams:1974:CSA, author = "Jack Williams and Frank {de Hoog}", title = "A Class of {$A$}-Stable Advanced Multistep Methods", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "163--177", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Manchester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A stable advanced multistep methods; asymptotic behaviour; boundary-value problems; differential equations; discretization error; error; fourth order method; initial value problems; local truncation; ordinary differential equations; stiff equations", treatment = "T Theoretical or Mathematical", } @Article{Belford:1974:VVA, author = "Geneva G. Belford", title = "Vector-Valued Approximation and its Application to Fitting Exponential Decay Curves", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "179--184", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; constraint; fitting exponential decay curves; function approximation; vector valued", treatment = "T Theoretical or Mathematical", } @Article{Diaz:1974:DFO, author = "J. B. Diaz and T. J. Osler", title = "Differences of Fractional Order", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "185--202", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "contour integral; derivatives; difference equations; differences of arbitrary order; differential equations; finite differences; fractional order; Leibniz; rule", treatment = "T Theoretical or Mathematical", } @Article{Boggs:1974:NAC, author = "Paul T. Boggs", title = "A new algorithm for the {Chebyshev} solution of overdetermined linear systems", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "203--217", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Chebyshev approximation; Chebyshev solution; convergence analysis; convergence of numerical methods; differential equation; differential equations; iterative scheme; overdetermined linear; systems", treatment = "T Theoretical or Mathematical", } @Article{Duff:1974:NNA, author = "I. S. Duff", title = "On the number of nonzeros added when {Gaussian} elimination is performed on sparse random matrices", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "219--230", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Oxford Univ., UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; fill in properties; Gaussian elimination; matrices; matrix algebra; nonzeros added; random graphs; sparse random", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1974:TFI, author = "James R. Bunch and John E. Hopcroft", title = "Triangular factorization and inversion by fast matrix multiplication", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "231--236", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fast matrix; inversion; matrix algebra; multiplication; nonsingular matrix; Strassen; triangular factorization", treatment = "T Theoretical or Mathematical", } @Article{Goldstein:1974:REH, author = "Marvin J. Goldstein", title = "Reduction of the eigenproblem for {Hermitian} persymmetric matrices", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "237--238", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Naval Underwater Systems Center, New London, CT, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer; eigenproblem; Hermitian persymmetric matrices; matrix algebra; storage; time", treatment = "T Theoretical or Mathematical", } @Article{Amos:1974:CMB, author = "D. E. Amos", title = "Computation of modified {Bessel} functions and their ratios", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "239--251", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Sandia Labs., Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; computation; low order Bessel functions; modified Bessel functions; monotonicity; properties; ratios; recursion; relation", treatment = "T Theoretical or Mathematical", } @Article{Nasell:1974:IMB, author = "Ingemar Nasell", title = "Inequalities for Modified {Bessel} Functions", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "253--256", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Bell Labs., Holmdel, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; inequalities; modified Bessel functions; sharp versions", treatment = "T Theoretical or Mathematical", } @Article{Samaddar:1974:SII, author = "S. N. Samaddar", title = "Some Integrals Involving Associated {Legendre} Functions", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "257--263", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Glasser:1974:RFM, author = "M. L. Glasser", title = "Reduction Formulas for Multiple Series", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "265--266", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hendy:1974:ACF, author = "M. D. Hendy", title = "Applications of a Continued Fraction Algorithm to Some Class Number Problems", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "267--277", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Neild:1974:RQF, author = "Carol Neild and Daniel Shanks", title = "On the $3$-Rank of Quadratic Fields and the {Euler} Product", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "279--291", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1974:BC, author = "Daniel Shanks and John W. {Wrench, Jr.}", title = "{Brun}'s Constant", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "293--299", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lal:1974:IUT, author = "Mohan Lal", title = "Iterates of the Unitary Totient Function", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "301--302", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Alter:1974:NCN, author = "Ronald Alter and Thaddeus B. Curtz", title = "A Note on Congruent Numbers", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "303--305", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Angell:1974:SF, author = "I. O. Angell and H. J. Godwin", title = "Some Factorizations of $ 10^n \pm 1 $", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "307--308", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{teRiele:1974:FLA, author = "H. J. J. {te Riele}", title = "Four Large Amicable Pairs", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "309--312", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dressler:1974:XXX, author = "Robert E. Dressler and Thomas Parker", title = "$ 12, 758 $", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "313--314", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brent:1974:DSG, author = "Richard P. Brent", title = "The Distribution of Small Gaps Between Successive Primes", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "315--324", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1974:Ca, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "343--343", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Piessens:1974:SNO, author = "Robert Piessens and Maria Branders", title = "Supplement to {A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto Type}", journal = j-MATH-COMPUT, volume = "28", number = "125", pages = "344--347", month = jan, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See \cite{Piessens:1974:NOA}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fischer:1974:FTM, author = "D. Fischer and G. Golub and O. Hald and C. Leiva and O. Widlund", title = "On {Fourier--Toeplitz} Methods for Separable Elliptic Problems", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "349--368", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0220 (Mathematical analysis); C4170 (Differential equations)", corpsource = "New York Univ., NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; elliptic; fast; fast Fourier transforms; Fourier Toeplitz method; Fourier transform; numerical methods; separable elliptic problems; Toeplitz factorizations", treatment = "T Theoretical or Mathematical", } @Article{vanLinde:1974:HOF, author = "H. J. {van Linde}", title = "High-Order Finite-Difference Methods for {Poisson}'s Equation", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "369--391", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Rijksuniversiteit, Groningen, Netherlands", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; boundary value problems; boundary-value problems; Dirichlet; error bounds; finite difference; high order finite difference methods; mixed boundary value problem; Neumann problem; partial differential equations; Poisson's equation; problem", treatment = "T Theoretical or Mathematical", } @Article{Zlamal:1974:FEM, author = "Milos Zlamal", title = "Finite Element Methods for Parabolic Equations", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "393--404", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tech. Univ., Brno, Czechoslovakia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; Calahan discretization; Crank Nicolson; differential equations; Dirichlet boundary condition; finite element analysis; finite element methods; initial boundary value problem; linear parabolic equation; partial", treatment = "T Theoretical or Mathematical", } @Article{King:1974:SLS, author = "J. Thomas King", title = "Semidiscrete Least-Squares Methods for Second Order Parabolic Problems With Nonhomogeneous Data", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "405--411", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Cincinnati, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; heat equation; least squares approximations; nonhomogeneous data; partial differential equations; second order parabolic problems; semidiscrete; semidiscrete least squares methods; variable coefficient parabolic operators; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Goldberg:1974:SAH, author = "M. Goldberg and S. Abarbanel", title = "Stable approximations for hyperbolic systems with moving internal boundary conditions", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "413--447", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tel Aviv Univ., Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary conditions; boundary-value problems; hyperbolic systems; initial value problem; Lax Wendorff; moving internal; partial differential equations; scheme; stability; stable approximations", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1974:AIR, author = "Richard Weiss", title = "The application of implicit {Runge--Kutta} and collocation methods to boundary-value problems", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "449--464", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "California Inst. Technol., Pasadena, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; collocation methods; convergence; differential equations; first order; formulae; implicit Runge Kutta methods; interpolatory quadrature; methods; Newton iteration; nonlinear boundary conditions; nonlinear systems; Runge--Kutta", treatment = "T Theoretical or Mathematical", } @Article{Snider:1974:AAA, author = "Arthur David Snider and Gary Charles Fleming", title = "Approximation by Aliasing with Application to ``{Certaine}'' Stiff Differential Equations", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "465--473", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Univ. South Florida, Tampa, FL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aliasing; Certaine stiff differential equations; differential equations; dominant high frequencies; interpolation; oscillatory forcing functions; series (mathematics); trigonometric interpolation", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1974:RCN, author = "H. Brunner", title = "Recursive collocation for the numerical solution of stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "475--481", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate Jacobian; exponential; functions; initial conditions; nonlinear differential equations; recursive collocation; stiff ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Schoenberg:1974:SQF, author = "I. J. Schoenberg and S. D. Silliman", title = "On Semicardinal Quadrature Formulae", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "483--497", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "appropriate generating functions; formulae; function approximation; integration; Sard's best quadrature; semicardinal quadrature formulae", treatment = "T Theoretical or Mathematical", } @Article{Kumar:1974:QFS, author = "Ravindra Kumar and M. K. Jain", title = "Quadrature Formulas for Semi-Infinite Integrals", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "499--503", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equation; function evaluation; integration; polynomials; quadrature formulas; recurrence relations; semiinfinite integrals; weight function", treatment = "T Theoretical or Mathematical", } @Article{Gill:1974:MMM, author = "P. E. Gill and G. H. Golub and W. Murray and M. A. Saunders", title = "Methods for Modifying Matrix Factorizations", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "505--535", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05", MRnumber = "49 \#8299", MRreviewer = "L. W. Ehrlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cholesky factors; complete orthogonal factorisation; matrix algebra; matrix factorizations; rank one change", kwds = "math, nla, qrd, lud, updating", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1974:MPE, author = "G. W. Stewart", title = "Modifying Pivot Elements in {Gaussian} Elimination", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "537--542", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; Gaussian elimination; inverse; matrix algebra; pivot elements; pivoting; rank one modification; rounding error; sparseness; stable", kwds = "nla, sparse, linear system, lud, pivoting", treatment = "T Theoretical or Mathematical", } @Article{Gentleman:1974:EDE, author = "W. M. Gentleman and S. C. Johnson", title = "The evaluation of determinants by expansion by minors and the general problem of substitution", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "543--548", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Waterloo, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "determinants; expansion by minors; matrix algebra; minor expansion algorithms; optimal; substitution; substitution strategies", treatment = "T Theoretical or Mathematical", } @Article{Dennis:1974:CSC, author = "J. E. {Dennis, Jr.} and Jorge J. More", title = "A characterization of superlinear convergence and its application to quasi-{Newton} methods", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "549--560", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; asymptotic behaviour; characterisation theorem; convergence of numerical methods; Davidon Fletcher Powell method; exact line searches; iterative methods; linear; quasi-Newton methods; superlinear convergence", treatment = "T Theoretical or Mathematical", } @Article{Lal:1974:ECA, author = "M. Lal and P. Gillard", title = "Evaluation of a constant associated with a parking problem", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "561--564", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Memorial Univ., Newfoundland, St. John's, Nfld., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equation; integral; integro-differential equations; parking problem; random space filling problem", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1974:SNS, author = "C. {de Boor} and James W. Daniel", title = "Splines with Nonnegative $ {B}$-Spline Coefficients", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "565--568", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation of; function approximation; nonnegative B-spline coefficients; nonnegative functions; quasiinterpolants; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Huddleston:1974:CET, author = "R. E. Huddleston", title = "On the conditional equivalence of two starting methods for the second algorithm of {Remez}", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "569--572", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sandia Labs., Livermore, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conditional equivalence; function approximation; iterative; minmax rational approximations; of Remez; procedure; second algorithm; starting methods", treatment = "T Theoretical or Mathematical", } @Article{Blackburn:1974:NCM, author = "J. A. Blackburn and Y. Beaudoin", title = "A note on {Chambers}' method", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "573--574", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Wilfrid Laurier Univ., Waterloo, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chambers' method; convergence exponent; function approximation; iterative methods; method; secant; second order iteration formulae", treatment = "T Theoretical or Mathematical", } @Article{Breig:1974:NCG, author = "W. F. Breig and A. L. Crosbie", title = "Numerical computation of a generalized exponential integral function", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "575--579", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); B0290M (Numerical integration and differentiation); C4120 (Functional analysis); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Missouri-Rolla, MO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function; function evaluation; generalized exponential integral; integration; numerical computation; recurrence relations; series expansions", treatment = "T Theoretical or Mathematical", } @Article{Blair:1974:RCA, author = "J. M. Blair", title = "Rational {Chebyshev} approximations for the modified {Bessel} functions {$ I_0 (x) $} and {$ I_1 (x) $}", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "581--583", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Atomic Energy Canada Ltd., Chalk River, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; functions; modified Bessel; nearly best rational approximations; rational Chebyshev approximations; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1974:SAC, author = "Henry E. Fettis", title = "A stable algorithm for computing the inverse error function in the `tail-end' region", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "585--587", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Wright-Patterson Air Force Base, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; inverse error function; iterative algorithm; stability; stable algorithm; tail end region", treatment = "T Theoretical or Mathematical", } @Article{Collins:1974:MRS, author = "George E. Collins and Ellis Horowitz", title = "The Minimum Root Separation of a Polynomial", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "589--597", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Southern California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "commutative ring; complex polynomial; function approximation; Gaussian integer coefficients; Hadamard's determinant; matrix rings; minimum root separation; polynomial; polynomial rings; polynomials; seminorm; theorem", treatment = "T Theoretical or Mathematical", } @Article{Beyer:1974:EAC, author = "W. A. Beyer and M. S. Waterman", title = "Error analysis of a computation of {Euler}'s constant", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "599--604", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); C4110 (Error analysis in numerical methods); C4120 (Functional analysis)", corpsource = "Los Alamos Sci. Lab., NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation of Euler's constant; error analysis; function evaluation", treatment = "T Theoretical or Mathematical", } @Article{Deshpande:1974:CEF, author = "V. L. Deshpande", title = "Confluent Expansions for Functions of Two Variables", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "605--611", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Pratap Coll., Maharashtra, India", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Appell; confluent expansions; function approximation; functions; functions of two variables; Horn functions", treatment = "T Theoretical or Mathematical", } @Article{Glasser:1974:SDI, author = "M. L. Glasser", title = "Some definite integrals of the product of two {Bessel} functions of the second kind: (order zero)", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "613--615", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Battelle Memorial Inst., Columbus, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; definite integrals; evaluate; function evaluation; integral representation; order; second kind; zero", treatment = "T Theoretical or Mathematical", } @Article{Benkoski:1974:WPN, author = "S. J. Benkoski and P. Erd{\H{o}}s", title = "On Weird and Pseudoperfect Numbers", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "617--623", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abundant; deficient; density; distinct proper divisors; number theory; of weird numbers; positive integer; pseudoperfect numbers; weird number", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1974:NFT, author = "D. H. Lehmer and Emma Lehmer", title = "A New Factorization Technique Using Quadratic Forms", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "625--635", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aliquot series; combinatorial mathematics; factorization technique; inequalities; number theory; quadratic forms; sieving facilities", treatment = "T Theoretical or Mathematical", } @Article{Lehman:1974:FLI, author = "R. Sherman Lehman", title = "Factoring Large Integers", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "637--646", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "combinatorial mathematics; factoring large integers; Fermat's difference of squares; method; number theory", treatment = "T Theoretical or Mathematical", } @Article{Ecklund:1974:NFA, author = "E. F. {Ecklund, Jr.} and P. {Erd{\H{o}}s} and J. L. Selfridge", title = "A New Function Associated with the Prime Factors of $ \binom {n}{k} $", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "647--649", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Northern Illinois Univ., Dekalb, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounds; combinatorial mathematics; irregular behaviour; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Dressler:1974:SDP, author = "Robert E. Dressler and Andrzej Makowski and Thomas Parker", title = "Sums of distinct primes from congruence classes modulo 12", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "651--652", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Kansas State Univ., Manhattan, KS, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "best possible; bounds; combinatorial mathematics; congruence classes modulo 12; lower; number theory; sums of distinct primes", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1974:IPD, author = "Wells Johnson", title = "Irregular Prime Divisors of the {Bernoulli} Numbers", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "653--657", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Bowdoin Coll., Brunswick, ME, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bernoulli; Bernoulli numbers; combinatorial mathematics; cyclotomic invariants; irregular pair; irregular prime divisors; number theory; quotients", treatment = "T Theoretical or Mathematical", } @Article{Hunt:1974:CTE, author = "David C. Hunt", title = "The character table of an eight-dimensional orthogonal group", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "659--660", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. New South Wales, Kensington, NSW, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "8 dimensional orthogonal; character table; combinatorial mathematics; group; group theory; maximal index; orthogonal group; outer automorphism group", treatment = "T Theoretical or Mathematical", } @Article{Hunt:1974:CTF, author = "David C. Hunt", title = "The Character Table of {Fischer}'s Simple Group, $ {M}(23) $", journal = j-MATH-COMPUT, volume = "28", number = "126", pages = "660--661", month = apr, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Parlett:1974:RQI, author = "B. N. Parlett", title = "The {Rayleigh} Quotient Iteration and Some Generalizations for Nonnormal Matrices", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "679--693", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "eigenvector; generalizations; iterative methods; local convergence; matrices; matrix algebra; nonnormal; Rayleigh Quotient Iteration", kwds = "nla, eig, Rayleigh quotient, nonnormal matrix", treatment = "T Theoretical or Mathematical", } @Article{Ruhe:1974:MEP, author = "Axel Ruhe", title = "$ \mathrm {SOR}$-Methods for the Eigenvalue Problem with Large Sparse Matrices", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "695--710", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Umea, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; eigenvalue; eigenvalues and eigenfunctions; global convergence; iterative algorithm; iterative methods; large sparse matrices; matrices; matrix; optimal; overrelaxation factor; smallest eigenvalue; sparse symmetric; successive overrelaxation", kwds = "nla, eig, sparse, relaxation", treatment = "T Theoretical or Mathematical", } @Article{Belford:1974:AAT, author = "Geneva G. Belford and E. H. {Kaufman, Jr.}", title = "An application of approximation theory to an error estimate in linear algebra", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "711--712", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Univ. Illinois, Urbana-Champaign, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equations; approximation theory; computational techniques; error analysis; error estimate; function approximation; least squares solution; linear; linear algebra; numerical linear algebra; uniform approximations", treatment = "T Theoretical or Mathematical", } @Article{Chatterjee:1974:NIP, author = "Gurudas Chatterjee", title = "Negative Integral Powers of a Bidiagonal Matrix", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "713--714", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Central Mech. Engng. Res. Inst., Durgapur, India", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bidiagonal matrix; inverse; inverse matrix; matrix algebra; negative integral powers; Wronski polynomial", treatment = "T Theoretical or Mathematical", } @Article{Goldstein:1974:RPH, author = "Marvin J. Goldstein", title = "Reduction of the pseudoinverse of a {Hermitian} persymmetric matrix", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "715--717", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "New London Lab., CT, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "centrosymmetric; computer time; Hermitian persymmetric matrix; matrix algebra; pseudoinverse; scew centrosymmetric; storage; Toeplitz", treatment = "T Theoretical or Mathematical", } @Article{Anderssen:1974:SUA, author = "R. S. Anderssen and B. J. Omodei", title = "On the stability of uniformly asymptotically diagonal systems", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "719--730", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Australian Nat. Univ., Canberra, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "almost orthonormal; classification; largest eigenvalue; linear algebra; minimal; necessary and sufficient conditions; nonstrongly minimal; normalized uniformly asymptotically diagonal system; stability; uniformly asymptotically diagonal systems; variational methods; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1974:SSE, author = "Claude Brezinski and Alain C. Rieu", title = "The solution of systems of equations using the epsilon --- algorithm, and an application to boundary-value problems", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "731--741", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence; differential equations; infinitely many solutions; linear equations; multipoint boundary value; nonlinear differential equations; nonlinear equations; problems", treatment = "T Theoretical or Mathematical", } @Article{Varah:1974:CSN, author = "James M. Varah", title = "A comparison of some numerical methods for two-point boundary value problems", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "743--755", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. British Columbia, Vancouver, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block tridiagonal; boundary value problems; boundary-value problems; collocation with; comparison; computer time required; cubic Hermite functions; differential equations; factorization; linear second order two point; midpoint rule; numerical methods; stability; variable mesh schemes", treatment = "T Theoretical or Mathematical", } @Article{Carasso:1974:LSP, author = "Alfred Carasso", title = "A Least Squares Procedure for the Wave Equation", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "757--767", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounded domain; Dirichlet problem; homogeneous; least squares approximations; least squares procedure; partial differential equations; pure implicit scheme; smoother trial functions; time differencing; wave equation", treatment = "T Theoretical or Mathematical", } @Article{Kumar:1974:CQF, author = "Ravindra Kumar", title = "A Class of Quadrature Formulas", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "769--778", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic functions; convergence; generating functions; integration; orthogonal polynomials; polynomials; quadrature formulas; quadrature rules; recurrence relation; weight function", treatment = "T Theoretical or Mathematical", } @Article{Shreve:1974:AFT, author = "David C. Shreve", title = "$ {L}^p $ Approximation of {Fourier} Transforms and Certain Interpolating Splines", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "779--787", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Wisconsin, Milwaukee, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; discrete Fourier transforms; Fourier; Fourier transforms; function approximation; interpolating; interpolation; L/sup p/ approximation; linear functionals; multipliers; smooth; Sobolev spaces; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Newbery:1974:EAP, author = "A. C. R. Newbery", title = "Error Analysis for Polynomial Evaluation", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "789--793", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); C4110 (Error analysis in numerical methods); C4120 (Functional analysis)", corpsource = "Univ. Kentucky, Lexington, KY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; Chebyshev; computable error bound; error analysis; floating point error; function evaluation; Horner's scheme; polynomial evaluation; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Jones:1974:NSE, author = "William B. Jones and W. J. Thron", title = "Numerical stability in evaluating continued fractions", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "795--810", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); C4110 (Error analysis in numerical methods); C4120 (Functional analysis)", corpsource = "Univ. Colorado, Boulder, CO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accumulated relative error; algorithm; analysis; approximants; backward recurrence; bounds; continued fractions evaluation; convergence criteria; error; error analysis; fractions; function evaluation; numerical stability; rounding errors; significant digits; stability; Stieltjes", treatment = "T Theoretical or Mathematical", } @Article{McCabe:1974:CFE, author = "J. H. McCabe", title = "A continued fraction expansion, with a truncation error estimate, for {Dawson}'s integral", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "811--816", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. St. Andrews, Fife, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction expansion; convergents; Dawson's integral; error analysis; function approximation; rational approximations; truncation error estimate", treatment = "T Theoretical or Mathematical", } @Article{Buschman:1974:FSR, author = "R. G. Buschman", title = "Finite sum representations for partial derivatives of special functions with respect to parameters", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "817--824", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; differentiation; finite sum representations; finite sums; functions; G function; Gegenbauer functions; hypergeometric; Legendre; Mellin transformation; partial derivatives; special functions; Whittaker functions", treatment = "T Theoretical or Mathematical", } @Article{FitzGerald:1974:OIV, author = "Carl H. FitzGerald", title = "Optimal Indexing of the Vertices of Graphs", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "825--831", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290P (Differential equations); C1160 (Combinatorial mathematics); C4170 (Differential equations)", corpsource = "Univ. California, San Diego, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bandwidth; cubic grids; graph theory; incidence matrices; Laplace's equation; linear differential equations; linear equations; matrix; minimum; numerical analysis; optimal indexing; possible width; rectangular grids; reordering; vertices of graphs", treatment = "T Theoretical or Mathematical", } @Article{Baker:1974:GNP, author = "H. H. Baker and A. K. Dewdney and A. L. Szilard", title = "Generating the Nine-Point Graphs", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "833--838", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Univ. Western Ontario, London, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; coding; combinatorial generating; combinatorial mathematics; computer aided analysis; graph; graphs; language; MACRO 10 assembly; nine point graphs; programming techniques; programs; theory", treatment = "T Theoretical or Mathematical", } @Article{Lakein:1974:CIC, author = "Richard B. Lakein", title = "Computation of the ideal class group of certain complex quartic fields", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "839--846", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "State Univ. New York, Buffalo, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex quartic fields; cycles of reduced; group theory; ideal class group; ideals; noncyclic ideal class group; number theory; real quadratic fields", treatment = "T Theoretical or Mathematical", } @Article{McDaniel:1974:MPD, author = "Wayne L. McDaniel", title = "On Multiple Prime Divisors of Cyclotomic Polynomials", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "847--850", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. Missouri-St. Louis, MO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclotomic polynomials; multiple prime divisors; number theory; polynomials; triples", treatment = "T Theoretical or Mathematical", } @Article{Penney:1974:SEC, author = "David E. Penney and Carl Pomerance", title = "A Search for Elliptic Curves With Large Rank", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "851--853", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. Georgia, Athens, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; curve; elliptic curves; group of rational points; group theory; large rank; number theory; rank of an elliptic; rational; search procedure", treatment = "T Theoretical or Mathematical", } @Article{Weintraub:1974:CPL, author = "Sol Weintraub", title = "A Compact Prime Listing", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "855--857", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "City Univ. New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "compact prime listing; computer aided analysis; computer storage; number theory; prime counts", treatment = "T Theoretical or Mathematical", } @Article{Abrahams:1974:SPI, author = "Paul Abrahams", title = "Book Review: {Niklaus Wirth, \booktitle{Systematic Programming: An Introduction}, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973, 167 pp., 24 cm.}", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "881--883", month = jul, year = "1974", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005728", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wirth-niklaus.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1974:Cb, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "28", number = "127", pages = "887--887", month = jul, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Franklin:1974:TMI, author = "Joel N. Franklin", title = "On {Tikhonov}'s Method for Ill-Posed Problems", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "889--907", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; backward heat equation; convergence; convergence of numerical methods; differentiation; harmonic; harmonic continuation; heat transfer; ill posed linear integral equations; integral equations; numerical accuracy; numerical differentiation; Tikhonov's method", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1974:ENP, author = "C. G. L. Johnson", title = "Estimates near plane portions of the boundary for discrete elliptic boundary problems", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "909--935", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary difference operators; boundary-value problems; convergence; convergence of numerical methods; discrete elliptic boundary problems; elliptic difference operator; near plane portions; partial differential equations; Schauder norms", treatment = "T Theoretical or Mathematical", } @Article{Nitsche:1974:IER, author = "Joachim A. Nitsche and Alfred H. Schatz", title = "Interior Estimates for {Ritz--Galerkin} Methods", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "937--958", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; differential equations; error; error analysis; interior estimates; interior Ritz/Galerkin equations; order elliptic boundary value problems; partial; piecewise polynomial; second; subspaces", treatment = "T Theoretical or Mathematical", } @Article{Schatz:1974:OCR, author = "Alfred H. Schatz", title = "An observation concerning {Ritz--Galerkin} methods with indefinite bilinear forms", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "959--962", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary value problems; boundary-value problems; error; error analysis; estimates; existence; finite element; finite element method; Garding type inequality; indefinite bilinear forms; partial differential equations; Ritz/Galerkin methods; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Falk:1974:EEA, author = "Richard S. Falk", title = "Error estimates for the approximation of a class of variational inequalities", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "963--971", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theorem; convergence; error analysis; error estimates; inequalities; mathematical programming; order elliptic problem; second; techniques; variational", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1974:EFD, author = "Eckart Gekeler", title = "On the Eigenvectors of a Finite-Difference Approximation to the {Sturm--Liouville} Eigenvalue Problem", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "973--979", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "eigenvalues and eigenfunctions; eigenvectors; finite difference approximation; linear algebra; nonselfadjoint Sturm/Liouville eigenvalue problem", treatment = "T Theoretical or Mathematical", } @Article{Lentini:1974:VOF, author = "M. Lentini and V. Pereyra", title = "A variable order finite difference method for nonlinear multipoint boundary value problems", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "981--1003", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive finite; boundary-value problems; deferred corrections; difference method; first order nonlinear systems; FORTRAN; multipoint; multipoint boundary value problems; nonlinear; nonlinear boundary conditions; nonlinear differential equations; program; variable order finite difference method", treatment = "T Theoretical or Mathematical", } @Article{Alspaugh:1974:AII, author = "Dale W. Alspaugh", title = "The application of invariant imbedding to the solution of linear two-point boundary value problems on an infinite interval", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1005--1015", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; differential equations; infinite domain; initial; invariant imbedding; linear two; point boundary value problems; Riccati equations; value problems", treatment = "T Theoretical or Mathematical", } @Article{Miranker:1974:SNS, author = "W. L. Miranker and J. P. Morreeuw", title = "Semianalytic numerical studies of turning points arising in stiff boundary value problems", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1017--1034", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; connection theory; differential equations; equations; semianalytic numerical studies; singularly perturbed differential; stiff; turning points", treatment = "T Theoretical or Mathematical", } @Article{Sarkany:1974:EFM, author = "E. F. Sarkany and W. Liniger", title = "Exponential fitting of matricial multistep methods for ordinary differential equations", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1035--1052", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Adams methods; backward; diagonal matrices; differential equations; differentiation formulas; error analysis; exponential fitting; matricial multistep methods; matrix algebra; multistep integration formulas; Newton/Raphson method; ordinary; polynomials; predictor corrector method; predictor-corrector methods", treatment = "T Theoretical or Mathematical", } @Article{Nevanlinna:1974:NTE, author = "Olavi Nevanlinna and Aarne H. Sipila", title = "A nonexistence theorem for explicit {$A$}-stable methods", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1053--1055", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A; cyclic; iterative methods; linear; linear differential equations; linear multistep methods; multistep methods; nonexistence theorem; ordinary differential equations; predictor corrector formulas; Runge/Kutta methods; stable explicit methods", treatment = "T Theoretical or Mathematical", } @Article{Nadeau:1974:ANM, author = "A. Nadeau and J. Guyard and M. R. Feix", title = "Algebraic-Numerical Method for the Slightly Perturbed Harmonic Oscillator", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1057--1066", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; differential equations; eigenvalues; harmonic oscillator; harmonic oscillators; linear; Mathieu equation; perturbation techniques; Poisson perturbation treatment; secular; slightly perturbed; terms; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Fletcher:1974:MF, author = "R. Fletcher and M. J. D. Powell", title = "On the Modification of {$ {LDL}^T $} Factorizations", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1067--1087", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "efficiency; error analysis; error propagation; LDL/sup T/ factorizations; matrices; matrix algebra; positive definite matrix; positive semidefinite", treatment = "T Theoretical or Mathematical", } @Article{Trench:1974:ITB, author = "William F. Trench", title = "Inversion of {Toeplitz} Band Matrices", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1089--1095", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "matrix algebra; recursive method; Toeplitz band matrices; Toeplitz band matrices inversion", kwds = "nla, inverse matrix, Toeplitz matrix, band matrix", treatment = "T Theoretical or Mathematical", } @Article{Taylor:1974:EQP, author = "G. D. Taylor and J. Williams", title = "Existence questions for the problem of {Chebyshev} approximation by interpolating rationals", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1097--1103", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "best approximations; Chebyshev approximation; existence questions; interpolating; interpolation; rationals", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1974:SPO, author = "Herbert E. Salzer", title = "Some problems in optimally stable {Lagrangian} differentiation", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1105--1115", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev approximations; differentiation; interpolation; minimization; numerical differentiation; optimally stable Lagrangian; polynomials; stability; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1974:DPR, author = "Harald Niederreiter", title = "On the distribution of pseudo-random numbers generated by the linear congruential method. {II}", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1117--1132", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290M (Numerical integration and differentiation); C1110 (Algebra); C4160 (Numerical integration and differentiation); C7890 (Other special applications of computing)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integration; linear congruential method; number theory; pseudorandom numbers; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Williams:1974:QPP, author = "Kenneth S. Williams", title = "A Quadratic Partition of Primes $ \equiv 1 (\operatorname {mod} 7) $", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1133--1136", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclotomic numbers; linear algebra; number theory; primes; quadratic partition", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1974:SCF, author = "Daniel Shanks", title = "The Simplest Cubic Fields", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1137--1152", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class groups; class numbers; cyclic cubic fields; group theory; number theory; primes; simplest cubic fields", treatment = "T Theoretical or Mathematical", } @Article{Mignotte:1974:IAF, author = "M. Mignotte", title = "An Inequality About Factors of Polynomials", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1153--1157", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorization; inequality; polynomial factors; polynomials; roots", treatment = "T Theoretical or Mathematical", } @Article{Beard:1974:C, author = "Jacob T. B. {Beard, Jr.}", title = "Computing in $ \mathrm {GF}(q) $", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1159--1166", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "direct; elementary deterministic algorithm; exponential representation; factoring; matrix algebra; matrix representation; normal basis; number theory; polynomial; polynomials; primitive; primitive polynomials; rational calculations; square matrices", treatment = "T Theoretical or Mathematical", } @Article{Beard:1974:SPP, author = "Jacob T. B. {Beard, Jr.} and Karen I. West", title = "Some Primitive Polynomials of the Third Kind", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1166--1167", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; polynomials; primitive polynomials; third kind", treatment = "T Theoretical or Mathematical", } @Article{Beard:1974:FT, author = "Jacob T. B. {Beard, Jr.} and Karen I. West", title = "Factorization Tables for $ x^n - 1 $ Over $ \mathrm {GF}(q) $", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1167--1168", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorization tables; number theory; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1974:Cc, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "1183--1184", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Apostol:1975:RCP, author = "Tom M. Apostol", title = "The resultant of the cyclotomic polynomials {$ F^m(a x) $} and {$ F^n(b x) $}", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "1--6", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290D (Functional analysis); C1110 (Algebra); C4120 (Functional analysis)", corpsource = "California Inst. Technol., Pasadena, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary; arbitrary nonzero complex numbers; bibliography; cyclotomic polynomials; function evaluation; number theory; polynomials; positive integers; resultant; reviews", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Bateman:1975:SNR, author = "Paul T. Bateman and George B. Purdy and Samuel S. {Wagstaff, Jr.}", title = "Some Numerical Results on {Fekete} Polynomials", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "7--23", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290D (Functional analysis); C1110 (Algebra); C4120 (Functional analysis)", corpsource = "Univ. Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Fekete polynomials; function evaluation; number theory; numerical results; primes; real; real nonprincipal character; residue character", treatment = "T Theoretical or Mathematical", } @Article{Berlekamp:1975:DSS, author = "Elwyn R. Berlekamp", title = "The Design of Slowly Shrinking Labelled Squares", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "25--27", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "4 dimensional vectors; components; cyclically adjacent pairs; nilpotent; nonlinear; nonnegative real; number theory; operator; slowly shrinking labelled squares", treatment = "T Theoretical or Mathematical", } @Article{Bleicher:1975:NDS, author = "M. N. Bleicher and P. Erd{\H{o}}s", title = "The Number of Distinct Subsums of {$ {\sum }^N_1 l / i $}", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "29--42", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290D (Functional analysis); C1110 (Algebra); C4120 (Functional analysis)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distinct subsume; function evaluation; harmonic series; lower bounds; number theory; sum of 1/i", treatment = "T Theoretical or Mathematical", } @Article{Brent:1975:IDP, author = "Richard P. Brent", title = "Irregularities in the distribution of primes and twin primes", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "43--56", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Australian Nat. Univ., Canberra, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Brun's constant; distribution of primes; Hardy; inverses; irregularities; Littlewood approximation; logarithmic integral; number theory; primes; Riemann's approximation; twin", treatment = "T Theoretical or Mathematical", } @Article{Burr:1975:DPE, author = "Stefan A. Burr", title = "On detecting a periodic event by means of periodic observations. {I}", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "57--65", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Bell Labs., Madison, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theoretic calculations; number theory; periodic event; periodic observations; probability", treatment = "T Theoretical or Mathematical", } @Article{Carlitz:1975:GFT, author = "L. Carlitz and Richard Scoville", title = "A Generating Function for Triangular Partitions", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "67--77", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290D (Functional analysis); C1110 (Algebra); C4120 (Functional analysis)", corpsource = "Duke Univ., Durham, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; generating function; inequalities; nonnegative integers; number theory; triangular partitions", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1975:ENS, author = "Fred Cohen and J. L. Selfridge", title = "Not every number is the sum or difference of two prime powers", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "79--81", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290D (Functional analysis); C1160 (Combinatorial mathematics); C4120 (Functional analysis)", corpsource = "Northern Illinois Univ., De Kalb, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic progression; covering congruences; function evaluation; number theory; prime powers", treatment = "T Theoretical or Mathematical", } @Article{Erdos:1975:PF, author = "P. Erd{\H{o}}s and R. L. Graham and I. Z. Ruzsa and E. G. Straus", title = "On the Prime Factors of $ \binom {2n}{n} $", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "83--92", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290D (Functional analysis); C1110 (Algebra); C4120 (Functional analysis)", corpsource = "Bell Labs., Murray Hill, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1975:NCT, author = "Walter Gautschi", title = "Nonexistence of {Chebyshev}-Type Quadratures on Infinite Intervals", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "93--99", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); B0290F (Interpolation and function approximation); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation)", corpsource = "Purdue Univ., Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic; Chebyshev approximation; Chebyshev type quadratures; degree of accuracy; infinite; integration; intervals; number theory; polynomials; quadrature rules; weight function", treatment = "T Theoretical or Mathematical", } @Article{Guy:1975:WDA, author = "Richard K. Guy and J. L. Selfridge", title = "What Drives an Aliquot Sequence?", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "101--107", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290D (Functional analysis); C1160 (Combinatorial mathematics); C4120 (Functional analysis)", corpsource = "Univ. Calgary, Alta., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aliquote sequence; driver; function evaluation; number theory", treatment = "T Theoretical or Mathematical", } @Article{Hallyburton:1975:TNF, author = "John C. {Hallyburton, Jr.} and John Brillhart", title = "Two New Factors of {Fermat} Numbers", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "109--112", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Univ. Arizona, Tucson, AZ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factoring; Fermat numbers; function evaluation; machine implementation; method; number theory; prime factor", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1975:IPC, author = "Wells Johnson", title = "Irregular Primes and Cyclotomic Invariants", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "113--120", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290D (Functional analysis); C1160 (Combinatorial mathematics); C4120 (Functional analysis)", corpsource = "Bowdoin Coll., Brunswick, ME, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclotomic invariants; Fermat's Last Theorem; function evaluation; heuristic prediction; irregular primes; number theory; prime exponents", treatment = "T Theoretical or Mathematical", } @Article{Knuth:1975:EEB, author = "Donald E. Knuth", title = "Estimating the Efficiency of Backtrack Programs", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "121--136", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Ai/constr.logic.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods)", corpsource = "Stanford Univ., CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backtrack programs; branch and bound approach; combinatorial mathematics; combinatorial optimization; combinatorial problems; efficiency", treatment = "T Theoretical or Mathematical", } @Article{Lakein:1975:CIC, author = "Richard B. Lakein", title = "Computation of the ideal class group of certain complex quartic fields. {II}", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "137--144", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "State Univ. New York, Buffalo, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; complex continued fraction; complex quartic fields; group; group theory; Hurwitz's; ideal class group; noncyclic class; number theory; prime", treatment = "T Theoretical or Mathematical", } @Article{Mahler:1975:NSC, author = "K. Mahler", title = "A necessary and sufficient condition for transcendency", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "145--153", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Australian Nat. Univ., Canberra, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integral coefficients; number theory; polynomials; single sequence; transcendency", treatment = "T Theoretical or Mathematical", } @Article{Miller:1975:FSN, author = "J. C. P. Miller", title = "On Factorisation, with a Suggested New Approach", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "155--172", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorisation; Fermat's theorem; Fermat/Lucas/Lehmer; lambda exponent determination; number theory; primality; survey; theorems", treatment = "T Theoretical or Mathematical", } @Article{Mills:1975:CFL, author = "W. H. Mills", title = "Continued Fractions and Linear Recurrences", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "173--180", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290F (Interpolation and function approximation); C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Inst. Defense Analyses, Princeton, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction algorithm; continued fractions; function approximation; linear recurrences; number theory", treatment = "T Theoretical or Mathematical", } @Article{Morrison:1975:NPT, author = "Michael A. Morrison", title = "A Note on Primality Testing Using {Lucas} Sequences", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "181--182", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Univ. California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integer; Lucas sequences; number theory; odd; primality testing; prime divisors", treatment = "T Theoretical or Mathematical", } @Article{Morrison:1975:MFF, author = "Michael A. Morrison and John Brillhart", title = "A method of factoring and the factorization of {$ F^7 $}", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "183--205", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Univ. California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction; factoring; factorization; method; number theory; seventh Fermat number", treatment = "T Theoretical or Mathematical", } @Article{Newman:1975:CSM, author = "Morris Newman", title = "Congruence Subgroups of the Modular Group", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "207--213", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Nat. Bur. Stand., Washington, DC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "automorphs; congruence subgroups; group theory; modular group; number theory", treatment = "T Theoretical or Mathematical", } @Article{Riordan:1975:DCC, author = "John Riordan", title = "The distribution of crossings of chords joining pairs of 2n points on a circle", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "215--222", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Rockefeller Univ., New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "circle; crossings of chords; number sequences; number theory", treatment = "T Theoretical or Mathematical", } @Article{Robinson:1975:SCT, author = "Raphael M. Robinson", title = "The Structure of Certain Triple Systems", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "223--241", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Univ. California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "automorphism; function evaluation; group; number theory; prime power; triple systems", treatment = "T Theoretical or Mathematical", } @Article{Rosser:1975:SBC, author = "J. Barkley Rosser and Lowell Schoenfeld", title = "Sharper Bounds for the {Chebyshev} Functions {$ {\Theta }(x) $} and {$ {\Psi }(x) $}", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "243--269", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-jr # " and " # ack-nhfb, classcodes = "B0210 (Algebra); B0290F (Interpolation and function approximation); C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounds; Chebyshev functions; function approximation; number theory; primes; region; Riemann zeta function; zero free", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1975:CAE, author = "Daniel Shanks", title = "Calculation and Applications of {Epstein} Zeta Functions", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "271--287", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stark:1975:CQF, author = "H. M. Stark", title = "On Complex Quadratic Fields with Class-Number Two", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "289--302", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Straus:1975:CTG, author = "E. G. Straus", title = "A Combinatorial Theorem in Group Theory", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "303--309", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Turan:1975:PSM, author = "Paul Turan", title = "Power Sum Method and the Approximative Solution of Algebraic Equations", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "311--318", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Weinberger:1975:SZD, author = "Peter J. Weinberger", title = "On Small Zeros of {Dirichlet} $ {L}$-Functions", journal = j-MATH-COMPUT, volume = "29", number = "129", pages = "319--328", month = jan, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Johnson:1975:EEF, author = "Claes Johnson and Vidar Thomee", title = "Error estimates for a finite element approximation of a minimal surface", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "343--349", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods)", corpsource = "Math. Dept., Chalmers Inst. Technol., Goteborg, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation functions; convex bounded plane domain; error analysis; error estimation; finite element analysis; finite element approximation; minimal surface; minimisation; piecewise linear; strictly", treatment = "T Theoretical or Mathematical", } @Article{Zlamal:1975:FEM, author = "Milos Zlamal", title = "Finite element multistep discretizations of parabolic boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "350--359", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Computing Center, Tech. Univ. Brno, Brno, Czechoslovakia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2/ norm; A/sub 0/ stable multistep discretizations; boundary-value problems; Dirichlet boundary condition; discretization error; element multistep discretisations; equations; finite; infinite cylinder; initial boundary value; L/sub; linear differential equations; linear parabolic equation; parabolic boundary value problems; partial differential; partial differential equations; problem", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1975:EIC, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "The effect of interpolating the coefficients in nonlinear parabolic {Galerkin} procedures", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "360--389", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. Math., Univ. Chicago, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic error estimates; differential equation; differential equations; equations; error analysis; finite dimensional function space; integrals; interpolating; nonlinear coefficient; nonlinear differential equations; nonlinear parabolic Galerkin procedures; partial; partial differential; quasilinear parabolic equation", treatment = "T Theoretical or Mathematical", } @Article{Rosenberg:1975:LBA, author = "Ivo G. Rosenberg and Frank Stenger", title = "A lower Bound on the Angles of Triangles Constructed by Bisecting the Longest Side", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "390--395", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.75.bib; Graphics/siggraph/75.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Montreal, Montreal, Que., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; finite element analysis; infinite sequence; interior angle; lower bound; numerical methods; partial; side; triangles constructed by bisecting the longest", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1975:CRD, author = "Bertil Gustafsson", title = "The convergence rate for difference approximations to mixed initial boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "396--406", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. Computer Sci., Univ. Uppsala, Uppsala, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; convergence of numerical methods; convergence rate; difference approximations; differential equations; hyperbolic systems; mixed initial; partial; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{McGuire:1975:EIS, author = "G. R. McGuire and J. Ll. Morris", title = "Explicit-Implicit Schemes for the Numerical Solution of Nonlinear Hyperbolic Systems", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "407--424", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. Math., Heriot-Watt Univ., Edinburgh, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; equations; explicit/implicit schemes; Hopscotch; McGuire/Morris methods; methods; nonlinear; nonlinear differential equations; nonlinear hyperbolic systems; numerical solution; partial differential; partial differential equation; stability; two space dimensions", treatment = "T Theoretical or Mathematical", } @Article{Livne:1975:SPD, author = "Avishai Livne", title = "Seven-Point Difference Schemes for Hyperbolic Equations", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "425--433", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Tel-Aviv Univ., Ramat-Aviv, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value; boundary-value problems; condition; conservation laws; dimensional hyperbolic systems; hyperbolic difference schemes; hyperbolic equations; necessary and sufficient condition; nonlinear differential equations; numerical computations; partial differential equations; problems; scheme; second order accuracy; seven point difference; stability; two", treatment = "T Theoretical or Mathematical", } @Article{Marder:1975:GPT, author = "B. M. Marder", title = "{GAP} --- a {PIC-type} fluid code", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "434--446", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0270 (Computational techniques); A4710 (General fluid dynamics theory, simulation and other computational methods); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Los Alamos Sci. Lab., Univ. California, Los Alamos, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value; boundary-value problems; code; compressible flows; computational physics; flow of; GAP grid and particles; liquids; partial differential equations; PIC type fluid; problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Carasso:1975:CSH, author = "Alfred Carasso", title = "Coupled sound and heat flow and the method of least squares", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "447--463", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4320 (General linear acoustics); A4400 (Heat flow, thermal and thermodynamic processes); A4725Q (Convection and heat transfer); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. Math. and Statistics, Univ. New Mexico, Albuquerque, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; acoustic wave propagation; boundary; boundary conditions; boundary value problems; boundary-value problems; bounded domain; conduction; coupled sound; Crank/Nicolson time differencing; differential equations; heat; heat flow; homogeneous Dirichlet; initial value problem; integrals; least squares approximations; least squares method; linearized equations; partial; variational techniques", treatment = "A Application; T Theoretical or Mathematical", } @Article{Keller:1975:AMN, author = "H. B. Keller", title = "Approximation methods for nonlinear problems with application to two point boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "464--474", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/nld.bib", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Banach space setting; boundary, nonlinear; boundary-value problems; equations; function approximation; isolation; linear multistep methods; Newton's method; nonlinear; nonlinear problems; stability; stable Lipschitz continuous linearizations", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1975:OEE, author = "Jim {Douglas, Jr.} and Todd Dupont and Lars Wahlbin", title = "Optimal $ {L}_\infty $ Error Estimates for {Galerkin} Approximations to Solutions of Two-Point Boundary Value Problems", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "475--483", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. Math., Univ. Chicago, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; boundary value problems; boundary-value problems; differential equations; function; Galerkin approximations; maximum norm; optimal L/sub infinity/ error estimates; piecewise polynomial; spaces; splines (mathematics); two point", treatment = "T Theoretical or Mathematical", } @Article{Hertling:1975:SRG, author = "Jorg Hertling and Alexandru I. Schiop", title = "On the Stability of the {Ritz--Galerkin} Method for {Hammerstein} Equations", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "484--488", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Inst. Numerische Math., Tech. Hochschule Wien, Wien, Austria", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; Hammerstein equations; nonlinear algebraic equations; nonlinear differential equations; nonlinear partial differential equations; partial differential; Ritz/Galerkin method; stability; variational methods; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1975:SNM, author = "G. K. Gupta and C. S. Wallace", title = "Some new multistep methods for solving ordinary differential equations", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "489--500", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. Computer Sci., Monash Univ., Clayton, Vic., Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Adams/Moulton formula; equations; least squares approximation; least squares approximations; linear; linear differential equations; multistep formulae; multistep methods; nonstiff ordinary differential; ordinary differential equations; stiff differential equations; stiff formulae", treatment = "T Theoretical or Mathematical", } @Article{Ehle:1975:TPA, author = "Byron L. Ehle and Zdenek Picel", title = "Two-Parameter, Arbitrary Order, Exponential Approximations for Stiff Equations", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "501--511", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. Math., Univ. Victoria, Victoria, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; arbitrary order; boundary-value problems; differential equations; equations; exponential approximations; fitting; function; initial value problem; numerical methods; Pad{\'e} approximation; stiff; stiff differential equations; two parameter approximation; two point A stable exponential", treatment = "T Theoretical or Mathematical", } @Article{Hayes:1975:NCI, author = "John K. Hayes and David K. Kahaner and Richard G. Kellner", title = "A numerical comparison of integral equations of the first and second kind for conformal mapping", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "512--521", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Univ. California, Los Alamos Sci. Lab., Los Alamos, NM, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conformal mapping; ellipses; Fredholm; Fredholm integral equation of the first kind; integral equation of the second kind; integral equations; numerical comparison", treatment = "T Theoretical or Mathematical", } @Article{Lewis:1975:RRA, author = "James T. Lewis", title = "Restricted range approximation and its application to digital filter design", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "522--539", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C5280 (Other digital techniques)", corpsource = "Dept. Math., Univ. Rhode Island, Kingston, RI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "digital filter design; digital filters; discretisation effects; function approximation; multiple exchange algorithm; optimisation; restricted range approximation", treatment = "T Theoretical or Mathematical", } @Article{Wolfe:1975:DRA, author = "Jerry M. Wolfe", title = "Discrete Rational $ {L}_p $ Approximation", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "540--548", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. Math., Univ. Oregon, Eugene, OR, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic polynomials; best approximations; closure; convergence; convergence of numerical methods; discrete rational Lp approximation; discrete subsets; function approximation; generalized rational functions; Haar conditions; pointwise; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Dunham:1975:CAI, author = "Charles B. Dunham", title = "{Chebyshev} Approximation by Interpolating Rationals on $ \lbrack \alpha, \infty) $", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "549--551", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Computer Sci. Dept., Univ. Western Ontario, London, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "best approximations; Chebyshev approximation; delay time; functions; interpolating rationals; oscillation factor; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Dunham:1975:DWA, author = "Charles B. Dunham", title = "A difficulty in {Williams}' algorithm for interpolating rationals", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "552--553", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Computer Sci. Dept., Univ. Western Ontario, London, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; best Chebyshev; Chebyshev approximation; decay type functions; function approximation; interpolating rationals; interpolation; levelling equations; oscillation factor; polynomial; polynomials; Williams' algorithm", treatment = "T Theoretical or Mathematical", } @Article{Leland:1975:AWN, author = "Kenneth O. Leland", title = "An algorithm for winding numbers for closed polygonal paths", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "554--558", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Aerospace Res. Labs., Wright-Patterson AFB, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analogues; closed polygonal paths; complex log function; function approximation; integer valued; number theory; winding numbers", treatment = "T Theoretical or Mathematical", } @Article{Hunter:1975:SPO, author = "D. B. Hunter", title = "Some Properties of Orthogonal Polynomials", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "559--565", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "School Math., Univ. Bradford, Bradford, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; orthogonal polynomials; polynomials; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Zajta:1975:CCF, author = "A. J. Zajta and W. Pandikow", title = "Conversion of Continued Fractions into Power Series", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "566--572", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. Math., Kenyatta Univ. Coll., Nairobi, Kenya", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "combinatorial; combinatorial mathematics; computation; continued fractions; function evaluation; power series; power series coefficients; probabilistic; probability; programming; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Wong:1975:LTN, author = "R. Wong", title = "On {Laplace} Transforms Near the Origin", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "573--576", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Dept. Math., Univ. Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Laplace transforms; Laplace transforms near the origin; locally integrable; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Wimp:1975:DDP, author = "Jet Wimp", title = "Differential-Difference Properties of Hypergeometric Polynomials", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "577--581", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Dept., Drexel Univ., Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; differential/difference properties; hypergeometric polynomials; Jacobi polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Fornberg:1975:CZJ, author = "B. Fornberg and K. S. Kolbig", title = "Complex zeros of the {Jonquiere} or polylogarithm function", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "582--599", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "CERN, Geneva, Switzerland", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; behaviour; complex zero trajectories; Jonquiere function; poles and zeros; polylogarithm function; polynomials; Riemann zeta function", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1975:GTG, author = "G. W. Stewart", title = "{Gershgorin} theory for the generalized eigenvalue problem {$ A x = \lambda B x $}", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "600--606", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. Computer Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "chordal metric; eigenvalues and eigenfunctions; generalized eigenvalue problem; Gershgorin's theorem; infinite eigenvalues; linear algebra; multiple eigenvalues; perturbation bounds; Riemann sphere", kwds = "la, pert, geig, Gerschgorin's theorem", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1975:GMA, author = "Ned Anderson", title = "A generalization of the method of averages for overdetermined linear systems", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "607--614", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. Computer Sci., Royal Inst. Technol., Stockholm, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "existence; Galerkin's method; linear algebra; method of averages; necessary and sufficient conditions; overdetermined linear systems; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Singh:1975:CHM, author = "Inderjit Singh and George Poole and Thomas Boullion", title = "A class of {Hessenberg} matrices with known pseudoinverse and {Drazin} inverse", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "615--619", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Math. Dept., Kansas State Teachers' Coll., Emporia, KS, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Hessenberg matrices; known Drazin inverse; known pseudoinverse; matrix algebra; Moore/Penrose inverse; test matrices", treatment = "T Theoretical or Mathematical", } @Article{Brillhart:1975:NPC, author = "John Brillhart and D. H. Lehmer and J. L. Selfridge", title = "New primality criteria and factorizations of $ 2^m \pm 1 $", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "620--647", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. Math., Univ. Arizona, Tucson, AZ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "divisibility properties; factorizations; Fermat's theorem; hyperbola; Lucas sequences; Mersenne numbers; number theory; primality criteria; search bound", treatment = "T Theoretical or Mathematical", } @Article{S:1975:BRR, author = "J. S.", title = "Book Review: {R. W. Hamming, \booktitle{Numerical Methods for Scientists and Engineers}, 2nd ed., McGraw-Hill Book Co., New York, 1973, ix + 721 pp., 24 cm.}", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "648--649", month = may, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/s0025-5718-75-99678-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Sep 8 16:03:58 2018", bibdate = "Sat Sep 08 16:04:51 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-130/S0025-5718-75-99678-7/S0025-5718-75-99678-7.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1975:RDTa, author = "Anonymous", title = "Reviews and Descriptions of Tables and Books", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "648--669", month = may, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/s0025-5718-75-99678-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Sep 8 16:03:58 2018", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-130/S0025-5718-75-99678-7/S0025-5718-75-99678-7.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1975:TEa, author = "Anonymous", title = "Table Errata", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "670--670", month = may, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/s0025-5718-75-99677-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Sep 8 16:03:49 2018", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1975:Ca, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "673--674", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1975:A, author = "Anonymous", title = "An Addendum to 12,758", journal = j-MATH-COMPUT, volume = "29", number = "130", pages = "675--675", month = apr, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1975:MNI, author = "James H. Bramble and Joachim A. Nitsche and Alfred H. Schatz", title = "Maximum-Norm Interior Estimates for {Ritz--Galerkin} Methods", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "677--688", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; estimation theory; Galerkin methods; maximum norm interior estimates; optimal convergence rates; optimisation; piecewise; polynomial subspaces; polynomials; Ritz; second order elliptic boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1975:GMN, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "A {Galerkin} method for a nonlinear {Dirichlet} problem", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "689--696", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; error analysis; error estimates; Galerkin method; linear; Newton method; nonlinear algebraic equations; nonlinear differential equations; nonlinear Dirichlet problem; second order elliptic equation", treatment = "T Theoretical or Mathematical", } @Article{Skollermo:1975:FMN, author = "Gunilla Skollermo", title = "A {Fourier} method for the numerical solution of {Poisson}'s equation", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "697--711", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Buneman algorithm; difference formulae; error estimates; fast Fourier; fast Fourier transforms; Fourier coefficients; Fourier method; Poisson's equation; standard finite; transform", treatment = "T Theoretical or Mathematical", } @Article{Osborn:1975:SAC, author = "John E. Osborn", title = "Spectral Approximation for Compact Operators", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "712--725", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; Banach; compact operators; eigenvalues and eigenfunctions; eigenvalues approximation; eigenvectors approximation; space; spectral approximation theory", treatment = "T Theoretical or Mathematical", } @Article{Barnhill:1975:PIB, author = "R. E. Barnhill and J. A. Gregory", title = "Polynomial interpolation to boundary data on triangles", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "726--735", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.75.bib; Graphics/siggraph/75.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4210 (Formal logic)", corpsource = "Math. Dept., Univ. of Utah, Salt Lake City, UT, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Boolean; Boolean algebra; boundary data; interpolation; polynomial interpolation; polynomials; sum interpolation theory; triangles", treatment = "T Theoretical or Mathematical", } @Article{Morgan:1975:NBP, author = "John Morgan and Ridgway Scott", title = "A Nodal Basis for $ {C}^1 $ Piecewise Polynomials of Degree $ n \geq 5 $", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "736--740", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.75.bib; Graphics/siggraph/75.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "basis functions; C/sup 1/; nodal basis; nodal variables; piecewise polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Hill:1975:CAN, author = "David R. Hill", title = "On comparing {Adams} and natural spline multistep formulas", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "741--745", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See table errata \cite{Hill:1976:TEC}.", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Adams formulas; natural spline multistep formulas; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1975:BDA, author = "Richard Weiss", title = "Bifurcation in difference approximations to two-point boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "746--760", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bifurcation problems; boundary-value problems; difference approximations; error estimates; function; linear differential operator; scalar; two point boundary; value problems", treatment = "T Theoretical or Mathematical", } @Article{Ahlberg:1975:CMT, author = "J. H. Ahlberg and T. Ito", title = "A collocation method for two-point boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "761--776", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Div. Appl. Math., Brown Univ., Providence, RI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; collocation method; Galerkin method; problems; splines; splines (mathematics); two point boundary value", treatment = "T Theoretical or Mathematical", } @Article{Serbin:1975:CIL, author = "Steven M. Serbin", title = "Computational investigations of least-squares type methods for the approximate solution of boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "777--793", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Tennessee, Knoxville, TN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; data; domains; Galerkin schemes; L-shaped; least squares approximations; least squares type methods; linear; nonsmooth; one dimensional methods; parallelogram domains; Poisson problem study; smooth data; Sobolev's lemma; splines; splines (mathematics); system conditioning", treatment = "T Theoretical or Mathematical", } @Article{Rakotch:1975:NSE, author = "E. Rakotch", title = "Numerical solution for eigenvalues and eigenfunctions of a {Hermitian} kernel and an error estimate", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "794--805", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. of Math. Technion, Inst. of Technol., Haifa, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; equations; error; error analysis; estimate; Hermitian kernel; integral; symmetric integral equations", treatment = "T Theoretical or Mathematical", } @Article{Haber:1975:AII, author = "Seymour Haber", title = "Adaptive Integration and Improper Integrals", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "806--809", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Commerce, Nat. Bur. Stand., Washington, DC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive integration; convergence of numerical methods; improper integrals; integration; Riemann integrable functions; trapezoid rule", treatment = "T Theoretical or Mathematical", } @Article{Piessens:1975:CFD, author = "Robert Piessens and Ann Haegemans", title = "Cubature formulas of degree nine for symmetric planar regions", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "810--815", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Appl. Math. and Programming Div., Univ. of Leuven, Leuven, Belgium", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubature; formulas; integration; polynomials; symmetric planar regions; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Brodlie:1975:BMS, author = "Kenneth W. Brodlie", title = "On {Bairstow}'s method for the solution of polynomial equations", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "816--826", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Computer Lab., Univ. of Leicester, Leicester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; Bairstow's method; polynomial equations; polynomial quadratic factor; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Dieter:1975:HCS, author = "U. Dieter", title = "How to Calculate Shortest Vectors in a Lattice", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "827--833", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Inst. Math. Statistik, Tech. Hochschule Graz, Graz, Austria", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Coveyou; dual lattice; MacPherson algorithm; optimisation; shortest vector calculation; vectors", treatment = "T Theoretical or Mathematical", } @Article{Tung:1975:LUB, author = "S. H. Tung", title = "On lower and upper bounds of the difference between the arithmetic and the geometric mean", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "834--836", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0240 (Probability and statistics); C1140 (Probability and statistics)", corpsource = "Dept. of Math. and Statistics, Miami Univ., Oxford, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic mean; geometric mean; lower bounds; statistics; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Wuytack:1975:ORI, author = "Luc Wuytack", title = "On the Osculatory Rational Interpolation Problem", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "837--843", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Antwerp, Belgium", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fractions; interpolation; osculatory rational interpolation problem; QD algorithm", treatment = "T Theoretical or Mathematical", } @Article{Abdelmalek:1975:EMD, author = "Nabih N. Abdelmalek", title = "An efficient method for the discrete linear $ {L^1} $ approximation problem", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "844--850", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Computer Centre, Nat. Res. Council Ottawa, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; approximation theory; Barrodale; basis matrix; discrete linear L/sub 1/ approximation problem; dual simplex; linear programming; Roberts simplex method; triangular factorization", treatment = "T Theoretical or Mathematical", } @Article{Ferguson:1975:PFI, author = "Helaman Rolfe Pratt Ferguson and Dale E. Nielsen and Grant Cook", title = "A partition formula for the integer coefficients of the theta function nome", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "851--855", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Brigham Young Univ., Provo, UT, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; complete elliptic integrals; elliptic function theory; elliptic integrals; incomplete; integral equations; partition formula; theta function nome integer", treatment = "T Theoretical or Mathematical", } @Article{Carta:1975:LOA, author = "David G. Carta", title = "Low-Order Approximations for the Normal Probability Integral and the Error Function", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "856--862", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290R (Integral equations); C1180 (Optimisation techniques); C4180 (Integral equations)", corpsource = "Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error function; fraction; integral equations; linear minimax problems; linear programming; low; normal probability integral; order approximations; polynomials; rational", treatment = "T Theoretical or Mathematical", } @Article{Headley:1975:DZG, author = "V. B. Headley and V. K. Barwell", title = "On the distribution of the zeros of generalized {Airy} functions", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "863--877", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Brock Univ., St. Catherines, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; boundary rays; differential equations; generalized Airy functions; nonreal zeros; zeros distribution", treatment = "T Theoretical or Mathematical", } @Article{Ikebe:1975:ZRC, author = "Yasuhiko Ikebe", title = "The Zeros of Regular {Coulomb} Wave Functions and of Their Derivatives", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "878--887", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Centre Numerical Analysis, Univ. of Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel function; compact matrix; eigenvalues; eigenvalues and eigenfunctions; function zeros characterisation; matrix algebra; methods; numerical; operators; regular Coulomb wave functions; wave functions; zeros", treatment = "T Theoretical or Mathematical", } @Article{Osler:1975:ISC, author = "Thomas J. Osler", title = "An Identity for Simplifying Certain Generalized Hypergeometric Functions", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "888--893", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Glassboro State Coll., Glassboro, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; generalized hypergeometric functions", treatment = "T Theoretical or Mathematical", } @Article{Fields:1975:PE, author = "Jerry L. Fields and Mourad E. H. Ismail", title = "Polynomial Expansions", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "894--902", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Alberta, Edmonton, Alta., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary power series expansion; polynomial expansion; polynomial sets; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Poole:1975:GMA, author = "George D. Poole", title = "Generalized $ {M}$-Matrices and Applications", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "903--910", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Kansas State Teachers Coll., Emporia, KS, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generalised M-matrices; matrix algebra; nonsingular matrices", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1975:AFB, author = "M. D. Atkinson", title = "An Algorithm for Finding the Blocks of a Permutation Group", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "911--913", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Math/algebra.bib", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Dept. of Computing Math., Univ. Coll., Cardiff, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; blocks; group imprimitivity; group theory; permutation group; permutation groups", reviews = "MR 51 # 3272 (author's summary), Zbl 311.20004 (Autorreferat), Comput. Information System 15 \# 138818C", treatment = "T Theoretical or Mathematical", } @Article{Pomerance:1975:SLP, author = "Carl Pomerance", title = "The second largest prime factor of an odd perfect number", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "914--921", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Georgia, Athens, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; odd perfect number; second largest prime factor", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1975:LPD, author = "Peter {Hagis, Jr.} and Wayne L. McDaniel", title = "On the largest prime divisor of an odd perfect number. {II}", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "922--924", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "largest prime divisor; number theory; odd perfect number; prime factor", treatment = "T Theoretical or Mathematical", } @Article{Bremner:1975:EM, author = "Andrew Bremner", title = "An equation of {Mordell}", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "925--928", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Emmanuel Coll., Cambridge, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; equations; integer solutions; Mordell equation", treatment = "T Theoretical or Mathematical", } @Article{Rosenblatt:1975:MSS, author = "M. Rosenblatt", title = "Multiply Schemes and Shuffling", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "929--934", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0240 (Probability and statistics); C1140 (Probability and statistics)", corpsource = "Dept. of Math., Univ. of California, San Diego, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic frequencies; linear congruential scheme; multiply schemes; pseudorandom number generators; random number generation; random processes; shuffling", treatment = "T Theoretical or Mathematical", } @Article{Wang:1975:FMP, author = "Paul S. Wang and Linda Preiss Rothschild", title = "Factoring Multivariate Polynomials Over the Integers", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "935--950", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic manipulation system MACSYMA; algebraic manipulation system SCRATCHPAD; algorithm; Berlekamp algorithm; finite fields; Hensel algorithm; irreducible factorization; Kronecker method; multivariate; multivariate factors; polynomial; polynomials; univariate polynomial", treatment = "T Theoretical or Mathematical", } @Article{Borosh:1975:ECF, author = "I. Borosh and C. J. Moreno and H. Porta", title = "Elliptic Curves Over Finite Fields. {II}", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "951--964", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex; elliptic curves; elliptic function fields; finite fields; multiplications; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{Penney:1975:TEC, author = "David E. Penney and Carl Pomerance", title = "Three Elliptic Curves with Rank at Least Seven", journal = j-MATH-COMPUT, volume = "29", number = "131", pages = "965--967", month = jul, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Univ. of Georgia, Athens, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic curves; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{Hedstrom:1975:MDS, author = "G. W. Hedstrom", title = "Models of difference schemes for $ u^t + u^x = 0 $ by partial differential equations", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "969--977", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Earth Sci. Div., Univ. of California, Livermore, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference schemes; dispersions; dispersive wave equation; general dissipative difference scheme; hyperbolic equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Wahlbin:1975:MGP, author = "Lars Wahlbin", title = "A modified {Galerkin} procedure with {Hermite} cubics for hyperbolic problems", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "978--984", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "artificial; boundary value problems; boundary-value problems; error estimates; Hermite cubics; linear hyperbolic systems; modified Galerkin procedure; partial differential equations; quasilinear hyperbolic systems; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Ciment:1975:HOC, author = "Melvyn Ciment and Stephen H. Leventhal", title = "Higher order compact implicit schemes for the wave equation", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "985--994", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "errors; higher order compact; hyperbolic equations; implicit schemes; instabilities; partial differential equations; wave equation; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Baker:1975:FEM, author = "Garth A. Baker", title = "A finite element method for first order hyperbolic equations", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "995--1006", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Div. of Engng. and Appl. Phys., Harvard Univ., Cambridge, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; finite element analysis; finite element method; first order hyperbolic equations; optimal L/sup 2/ error estimates; partial differential; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Russell:1975:CGM, author = "R. D. Russell and J. M. Varah", title = "A comparison of global methods for linear two-point boundary value problems", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1007--1019", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Dept., Simon Fraser Univ., Burnaby, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; global methods; linear two point boundary; numerical methods; value problems", treatment = "T Theoretical or Mathematical", } @Article{Hager:1975:FBF, author = "William W. Hager and Gilbert Strang", title = "Free Boundaries and Finite Elements in One Dimension", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1020--1031", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "control theory; convergence; dual formulation; finite element analysis; finite elements; one dimension; optimisation; quadratic programming", treatment = "T Theoretical or Mathematical", } @Article{Oliver:1975:CLO, author = "J. Oliver", title = "A Curiosity of Low-Order Explicit {Runge--Kutta} Methods", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1032--1036", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Computing Centre, Univ. of Essex, Colchester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; differential equations; error bounds; low order explicit Runge/Kutta methods; methods; Runge--Kutta", treatment = "T Theoretical or Mathematical", } @Article{Warming:1975:DSS, author = "R. F. Warming and Richard M. Beam and B. J. Hyett", title = "Diagonalization and simultaneous symmetrization of the gas-dynamic matrices", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1037--1045", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Ames Res. Centre, NASA, Moffett Field, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aerodynamics; block tridiagonal systems; Cauchy problem; diagonalisation; difference schemes; gas/dynamic; gas/dynamic equations; hyperbolicity; implicit time; matrices; matrix algebra; partial differential equations; simultaneous symmetrization; split algorithms", treatment = "T Theoretical or Mathematical", } @Article{Newbery:1975:PES, author = "A. C. R. Newbery", title = "Polynomial Evaluation Schemes", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1046--1050", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Computer Sci., Univ. of Kentucky, Lexington, KY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "floating; function evaluation; point arithmetic; polynomial evaluation algorithm; polynomials; round off error", treatment = "T Theoretical or Mathematical", } @Article{Gill:1975:MCM, author = "Philip E. Gill and Walter. Murray and Michael A. Saunders", title = "Methods for Computing and Modifying the {$ L D V $} Factors of a Matrix", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1051--1077", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Div. of Numerical Analysis and Computing, Nat. Phys. Lab., Teddington, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cholesky factorization; LDV factors; matrix algebra; matrix factorisation", kwds = "nla, lud, updating, sparse", treatment = "T Theoretical or Mathematical", } @Article{Dunham:1975:CFH, author = "Charles B. Dunham", title = "Convergence of the {Fraser--Hart} Algorithm for Rational {Chebyshev} Approximation", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1078--1082", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Computer Sci. Dept., Univ. of Klestern Ontario, London, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; continuous function; convergence; convergence of numerical methods; Fraser/Hart algorithm; rational Chebyshev approximation; Remez algorithm; secant method", treatment = "T Theoretical or Mathematical", } @Article{Luke:1975:GGQ, author = "Yudell L. Luke and Bing Yuan Ting and Marilyn J. Kemp", title = "On Generalized {Gaussian} Quadrature", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1083--1093", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Dept., Univ. of Missouri, Kansas City, MO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "errors; formula; general interpolation; generalized Gaussian quadrature; integration; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Shapiro:1975:LF, author = "Ralph Shapiro", title = "Linear Filtering", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1094--1097", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Meteorology Lab., Air Force Cambridge Res. Labs., Bedford, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "damping operators; discretized functions; integration; linear filtering; linear smoothing operator; numerical", treatment = "T Theoretical or Mathematical", } @Article{Hunkins:1975:CPH, author = "Dalton R. Hunkins", title = "Cubatures of precision 2k and 2k+1 for hyperrectangles", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1098--1104", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Kutztokin State Coll., Kutztokin, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluations; hyperrectangles; integration; integration formulae; numerical; one dimensional Radau rules; product cubatures", treatment = "T Theoretical or Mathematical", } @Article{Groetsch:1975:ECA, author = "C. W. Groetsch", title = "On existence criteria and approximation procedures for integral equations of the first kind", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1105--1108", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Rhode Island, Kingston, RI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation procedures; convergence; existence criteria; Fredholm; integral equations; integral equations of the first kind; iterative methods; properties; regularization methods; spectral analysis", treatment = "T Theoretical or Mathematical", } @Article{Temme:1975:UAE, author = "N. M. Temme", title = "Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1109--1114", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Amsterdam, Netherlands", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansions; asymptotic series; complementary error function; function approximation; incomplete beta function; incomplete gamma functions; uniform", treatment = "T Theoretical or Mathematical", } @Article{Srivastava:1975:SAA, author = "H. M. Srivastava and Rekha Panda", title = "Some analytic or asymptotic confluent expansions for functions of several variables", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1115--1128", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Victoria, Victoria, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic confluent expansions; asymptotic confluent expansions; function; function approximation; functions; generalized Lauricella; multivariable", treatment = "T Theoretical or Mathematical", } @Article{Hendy:1975:DIC, author = "M. D. Hendy", title = "The distribution of ideal class numbers of real quadratic fields", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1129--1134", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Math. Dept., Massey Univ., Palmerston North, New Zealand", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers distribution; Gauss's related conjecture; ideal; number theory; real quadratic fields", treatment = "T Theoretical or Mathematical", } @Article{Gerth:1975:NCG, author = "Frank {Gerth, III}", title = "A Note on $l$-Class Groups of Number Fields", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1135--1137", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic field; cyclic; l class groups; number fields; number theory; rational prime; structure theorem", treatment = "T Theoretical or Mathematical", } @Article{Wagstaff:1975:ZAF, author = "Samuel S. {Wagstaff, Jr.}", title = "Zeros of $p$-Adic $ {L}$-Functions", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1138--1143", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Univ. of Illinois, Urbana-Champaign, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "$p$ adic L; formal power series; functions; irregular primes; number theory; zero", treatment = "T Theoretical or Mathematical", } @Article{Klove:1975:SDE, author = "Torleiv Klove", title = "Sums of Distinct Elements from a Fixed Set", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1144--1149", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Matematisk Inst., Univ. Bergen, Bergen, Norway", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "natural numbers; number theory; powers; sequences of; sums from fixed set; threshold of completeness", treatment = "T Theoretical or Mathematical", } @Article{Esper:1975:TRS, author = "N. Esper", title = "Tables of reductions of symmetrized inner products (`inner plethysms') of ordinary irreducible representations of symmetric groups", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1150--1151", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Lehrstuhl D fur Math., Ruth, Aachen, Aachen, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "inner plethysms; number theory; ordinary irreducible representations; reductions of symmetrized inner products; symmetric groups", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1975:RDTb, author = "Anonymous", title = "Reviews and Descriptions of Tables and Books", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1152--1165", month = oct, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-75-99674-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 07:07:22 MST 2018", bibsource = "http://www.ams.org/mcom/1975-29-132; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99674-X; http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99674-X/S0025-5718-75-99674-X.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{I:1975:BRA, author = "E. I.", title = "Book Review: {Alston S. Householder. \booktitle{Principles of Numerical Analysis}, Dover, New York, 1974, x + 274 pp., 21 cm. Price \$4.00 (paperbound)}", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1152--1165", month = oct, year = "1975", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-75-99674-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 07:07:22 MST 2018", bibsource = "http://www.ams.org/mcom/1975-29-132; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99674-X; http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99674-X/S0025-5718-75-99674-X.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1975:TEb, author = "Anonymous", title = "Table Errata", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1166", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 07:07:22 MST 2018", bibsource = "http://www.ams.org/mcom/1975-29-132; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99673-8; http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-75-99673-8/S0025-5718-75-99673-8.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brent:1975:TEA, author = "Richard P. Brent", title = "Table errata: {{\booktitle{Algorithms for minimization without derivatives}} (Prentice-Hall, Englewood Cliffs, N.J., 1973)}", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1166", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 07:07:22 MST 2018", bibsource = "http://www.ams.org/mcom/1975-29-132; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-1975-0371062-9; http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-1975-0371062-9/S0025-5718-1975-0371062-9.pdf; https://www.ams.org/mathscinet-getitem?mr=371062; https://www.ams.org/mathscinet/search/authors.html?authorName=Brent%2C%20Richard%20P.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1975:CCA, author = "Daniel Shanks", title = "Corrigenda: {{\booktitle{Calculation and applications of Epstein zeta functions}} (Math. Comp. {\bf 29} (1975), 271--287)}", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1167", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 07:07:22 MST 2018", bibsource = "http://www.ams.org/mcom/1975-29-132; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-1975-0409358-4; http://www.ams.org/journals/mcom/1975-29-132/S0025-5718-1975-0409358-4/S0025-5718-1975-0409358-4.pdf; https://www.ams.org/mathscinet-getitem?mr=409358; https://www.ams.org/mathscinet/search/authors.html?authorName=Shanks%2C%20Daniel", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1975:Cb, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "29", number = "132", pages = "1167--1167", month = oct, year = "1975", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lyness:1976:EFE, author = "J. N. Lyness", title = "An error functional expansion for {$N$}-dimensional quadrature with an integrand function singular at a point", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "1--23", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; error functional expansion; function approximation; integrand function; integration; multidimensional quadrature; Romberg; singular", treatment = "T Theoretical or Mathematical", } @Article{Barrow:1976:EGI, author = "David L. Barrow", title = "Existence of {Gauss} interpolation formulas for the one-dimensional heat equation", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "24--34", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "dimensional; Gauss interpolation formulas; heat equation; interpolation; Jordan arc; one", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ellacott:1976:LCA, author = "S. Ellacott and Jack Williams", title = "Linear {Chebyshev} approximation in the complex plane using {Lawson}'s algorithm", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "35--44", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Brighton Polytech., Brighton, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev approximations; complex valued; functions; Lawson's algorithm", treatment = "T Theoretical or Mathematical", } @Article{Dunham:1976:RAV, author = "Charles B. Dunham", title = "Rational approximation with a vanishing weight function and with a fixed value at zero", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "45--47", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Computer Sci. Dept., Univ. of Western Ontario, London, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; interpolating rationals; interpolation; Kuki's technique; rational functions; vanishing; weight function; Williams'", treatment = "T Theoretical or Mathematical", } @Article{Wilhelmsen:1976:NPA, author = "Don R. Wilhelmsen", title = "A nearest point algorithm for convex polyhedral cones and applications to positive linear approximation", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "48--57", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Georgia, Athens, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convex polyhedral cones; cubature; linear approximation; nearest point algorithm; positive; projection", treatment = "T Theoretical or Mathematical", } @Article{Thomas:1976:PIS, author = "D. H. Thomas", title = "Pseudospline Interpolation for Space Curves", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "58--67", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/siggraph/76.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C6130 (Data handling techniques)", corpsource = "Dept. of Math., General Motors Corp., Warren, MI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "curve fitting; elastics; interpolation; linearised cubic spline; nonlinear spline; pseudospline interpolation; space curves; splines (mathematics)", treatment = "A Application; T Theoretical or Mathematical", } @Article{Girault:1976:NAC, author = "V. Girault", title = "Nonelliptic approximation of a class of partial differential equations with {Neumann} boundary condition", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "68--91", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Analyse Numeriques, Univ. Paris, Paris, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; boundary; boundary-value problems; condition; discrete Green's formula; linear partial differential equations; Neumann boundary; nonelliptic; partial differential equations; quadrilateral finite element method; value theorem", treatment = "T Theoretical or Mathematical", } @Article{Stepleman:1976:TFO, author = "Robert S. Stepleman", title = "Tridiagonal fourth order approximations to general two-point nonlinear boundary value problems with mixed boundary conditions", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "92--103", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "RCA David Sarnoff Res. Center, Princeton, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problem; boundary-value problems; fourth order discretisations; mixed boundary conditions", treatment = "T Theoretical or Mathematical", } @Article{Rheinboldt:1976:MIC, author = "Werner C. Rheinboldt", title = "On Measures of Ill-Conditioning for Nonlinear Equations", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "104--111", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Computer Sci. Center, Univ. of Maryland, College Park, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "linear algebra; nonlinear equation; nonlinear equations; normed linear space; perturbed equation", treatment = "T Theoretical or Mathematical", } @Article{Rall:1976:QCI, author = "L. B. Rall", title = "A quadratically convergent iteration method for computing zeros of operators satisfying autonomous differential equations", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "112--114", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "autonomous differential equation; Banach space; iteration method; iterative methods; Lipschitz continuous; nonlinear operator equations; quadratic convergence; semilocal theorem; variants of Newton's method", treatment = "T Theoretical or Mathematical", } @Article{Nazareth:1976:GCD, author = "Larry Nazareth", title = "Generation of conjugate directions for unconstrained minimization without derivatives", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "115--131", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conjugate directions; Jacobi; minimisation; mutual conjugacy; process; unconstrained minimisation", treatment = "T Theoretical or Mathematical", } @Article{Ward:1976:AHM, author = "Robert C. Ward", key = "Ward", title = "The $ \mathrm {QR} $ Algorithm and {Hyman}'s Method on Vector Computers", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "132--142", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/Multi.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Union Carbide Corp. Nuclear Div., Computer Sci. Div., Oak Ridge, TN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "100; CDC STAR-; eigenvalues and eigenfunctions; Hyman's; iterative schemes; Laguerre iterative scheme; large matrices; matrix algebra; method; QR algorithm; serial computer; vector computers; vectors", treatment = "T Theoretical or Mathematical", } @Article{Schett:1976:PTS, author = "Alois Schett", title = "Properties of the {Taylor} series expansion coefficients of the {Jacobian} elliptic functions", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "143--147", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "CENS, Gif-sur-Yvette, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; Jacobian elliptic functions; randomisation distributions; series (mathematics); Taylor series expansion", treatment = "T Theoretical or Mathematical", } @Article{Yang:1976:MBM, author = "C. H. Yang", title = "Maximal Binary Matrices and Sum of Two Squares", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "148--153", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., State Univ. New York, New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "binary matrices; Golay complementary sequences; H matrix; matrix algebra; maximal; sum of two squares", treatment = "T Theoretical or Mathematical", } @Article{Anshel:1976:DPG, author = "Michael Anshel", title = "Decision Problems for $ {HNN} $ Groups and Vector Addition Systems", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "154--156", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0220 (Mathematical analysis); B0240E (Game theory); C1110 (Algebra); C1120 (Mathematical analysis); C1140E (Game theory)", corpsource = "Dept. of Computer Sci., City Univ. of New York, New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conjugacy problem; cyclic groups; decision theory and analysis; endomorphism theorem; group theory; HNN groups; homomorphism theorem; infinite; reachability problem; vector addition; vectors", treatment = "T Theoretical or Mathematical", } @Article{Williams:1976:DPU, author = "H. C. Williams and J. S. Judd", title = "Determination of the primality of {$N$} by using factors of {$ N^2 \pm 1$}", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "157--172", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Lehmer functions; Lucas functions; number theory; primality testing", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1976:CGQ, author = "Daniel Shanks", title = "Class groups of the quadratic fields found by {F. Diaz y Diaz}", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "173--178", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Computation and Math. Dept., Naval Ship Res. and Dev. Center, Bethesda, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class groups; discriminants; number theory; quadratic fields", treatment = "T Theoretical or Mathematical", } @Article{Beard:1976:FTT, author = "Jacob T. B. {Beard, Jr.} and Karen I. West", title = "Factorization Tables for Trinomials Over $ \mathrm {GF}(q) $", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "179--183", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290D (Functional analysis); C1110 (Algebra); C4120 (Functional analysis); C7310 (Mathematics computing)", corpsource = "Dept of Math., Univ. of Texas, Arlington, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorisation; function evaluation; Galois field; number theory; numerical exponent; polynomial; polynomials; trinomials", treatment = "T Theoretical or Mathematical", } @Article{Angell:1976:TTR, author = "I. O. Angell", title = "A Table of Totally Real Cubic Fields", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "184--187", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis); C7310 (Mathematics computing)", corpsource = "Dept of Statistics and Computer Sci., Royal Holloway Coll., Univ. of London, London, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; function evaluation; number theory; polynomial; polynomials; real cubic number fields", treatment = "A Application; T Theoretical or Mathematical", } @Article{Anonymous:1976:Ca, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "30", number = "133", pages = "198--198", month = jan, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boggs:1976:SAP, author = "Paul T. Boggs and J. E. {Dennis, Jr.}", title = "A stability analysis for perturbed nonlinear iterative methods", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "199--215", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0395209-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0395209-4", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "US Army Res. Office, Research Triangle Park, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; asymptotic stability theory; differential equations; equations; finite difference; iterative methods; Newton's method; nonlinear iterative methods; ordinary differential", treatment = "T Theoretical or Mathematical", } @Article{Snider:1976:EAS, author = "Arthur David Snider", title = "Error Analysis for a Stiff System Procedure", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "216--219", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0398111-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0398111-7", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of South Florida, Tampa, FL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; error analysis; local truncation error; stiff; stiff system procedure", treatment = "T Theoretical or Mathematical", } @Article{Snider:1976:NAR, author = "Arthur David Snider", title = "Numerical applications of reflection to partial differential equations", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "220--240", month = apr, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary conditions; boundary-value problems; conformal; elliptic equations; partial differential equations; reflection; steepest descent; transformation; vena contracta models", treatment = "T Theoretical or Mathematical", } @Article{Falk:1976:AFE, author = "Richard S. Falk", title = "An analysis of the finite element method using {Lagrange} multipliers for the stationary {Stokes} equations", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "241--249", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0403260-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0403260-0", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; error analysis; finite element analysis; finite element method; Lagrange multipliers; partial; stationary; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Blair:1976:HOA, author = "J. J. Blair", title = "Higher order approximations to the boundary conditions for the finite element method", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "250--262", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0398123-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0398123-3", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "E. G. and G. Inc., Las Vegas, NV, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary conditions; boundary-value problems; curved boundaries; elliptic equations; finite element analysis; finite element solutions; interpolation; second order; trial functions", treatment = "T Theoretical or Mathematical", } @Article{Kadlec:1976:ESI, author = "J. Kadlec", title = "On the evaluation of some integrals occurring in scattering problems", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "263--277", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0395164-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0395164-7", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation); C7310 (Mathematics computing)", corpsource = "Max-Planck-Inst. for Phys. and Astrophys., Munchen, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "definite integrals; dilogarithm; exponential integral; first and second; integrals; integration; order; scattering problems; transport problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Reddien:1976:FDA, author = "G. W. Reddien", title = "Finite-Difference Approximations to Singular {Sturm--Liouville} Eigenvalue Problems", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "278--282", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0403235-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0403235-1", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Vanderbilt Univ., Nashville, TN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "central difference method; eigenvalue; eigenvalues and eigenfunctions; finite element analysis; function approximation; Klein Gordon equation; singular eigenvalue problems; singularity; Sturm Liouville", treatment = "T Theoretical or Mathematical", } @Article{Wiederholt:1976:SMM, author = "Lawrence F. Wiederholt", title = "Stability of multistep methods for delay differential equations", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "283--290", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0398132-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0398132-4", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Calspan Corp., Buffalo, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "delay differential equations; differential equations; integration; linear multistep methods; stability of integration methods", treatment = "T Theoretical or Mathematical", } @Article{Stroud:1976:SFD, author = "A. H. Stroud", title = "Some fourth degree integration formulas for simplexes", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "291--294", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0391484-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0391484-0", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fourth degree integration; integration; simplexes", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1976:CIS, author = "Herbert E. Salzer", title = "Converting interpolation series into {Chebyshev} series by recurrence formulas", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "295--302", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0395159-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0395159-3", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C7310 (Mathematics computing)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev series; difference equations; five term; interpolation; nonorthogonal polynomial coefficients; recurrence; recurrence formula; series (mathematics); series interconversion; three term recurrence", treatment = "A Application; T Theoretical or Mathematical", } @Article{Buschman:1976:IHF, author = "R. G. Buschman", title = "Inequalities for Hypergeometric Functions", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "303--305", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0390306-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0390306-1", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Math. and Statistics, Univ. of Guelph, Guelph, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; classical orthogonal polynomials; confluence; dominant diagonal matrix; function; functions; Gauss' hypergeometric; hypergeometric functions; Kummer's hypergeometric function; modified Bessel function; principle", treatment = "T Theoretical or Mathematical", } @Article{Willett:1976:CS, author = "Michael Willett", title = "Characteristic $m$-Sequences", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "306--311", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0389863-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0389863-0", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis); C7310 (Mathematics computing)", corpsource = "Dept. of Math., Univ. of North Carolina, Greensboro, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "code; cyclic; function evaluation; initial k tuple; m sequences; polynomials; primitive polynomial", treatment = "A Application; T Theoretical or Mathematical", } @Article{Barrucand:1976:CTD, author = "Pierre Barrucand and H. C. Williams and L. Baniuk", title = "A computational technique for determining the class number of a pure cubic field", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "312--323", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0392913-9", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0392913-9", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods); C7310 (Mathematics computing)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class group structure; class number; computational techniques; number theory; pure cubic field", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wang:1976:FMP, author = "Paul S. Wang", title = "Factoring multivariate polynomials over algebraic number fields", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "324--336", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0568283-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0568283-X", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number fields; irreducible factorisation; MACSYMA; multivariate polynomials; number theory; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schoenfeld:1976:SBC, author = "Lowell Schoenfeld", title = "Sharper bounds for the {Chebyshev} functions $ \theta (x) $ and $ \psi (x) $. {II}", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "337--360", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0457374-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0457374-X", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290F (Interpolation and function approximation); C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., State Univ. of New York, Buffalo, Amherst, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev functions; explicit bounds; hypothesis; number theory; prime; Riemann", treatment = "T Theoretical or Mathematical", } @Article{Rosenberger:1976:UMN, author = "Gerhard Rosenberger", title = "The Uniqueness of the {Markoff} Numbers", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "361--365", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0396413-1", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0396413-1", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Math. Seminar, Univ. Hamburg, Hamburg, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; Markoff numbers; Markoff triple; number theory; positive integers", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1976:RDT, author = "Anonymous", title = "Reviews and Descriptions of Tables and Books", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "371--380", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-76-99667-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 14:08:12 MST 2015", bibsource = "http://www.ams.org/mcom/1976-30-134; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-76-99667-8", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Niederreiter:1976:UDQ, author = "Harald Niederreiter and Charles F. Osgood", title = "A uniform distribution question related to numerical analysis", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "366--370", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0398067-7", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0398067-7", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "School of Math., Inst. Advanced Study, Princeton, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; discretisation; functions; numerical analysis; real valued; uniform distribution", treatment = "T Theoretical or Mathematical", } @Article{Hill:1976:TEC, author = "David R. Hill", title = "Table errata: {``On comparing Adams and natural spline multistep formulas'' (Math. Comp. {\bf 29} (1975), 741--745)}", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "381--381", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0386214-2", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 14:08:12 MST 2015", bibsource = "http://www.ams.org/mcom/1976-30-134; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", note = "See \cite{Hill:1975:CAN}.", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0386214-2; http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0386214-2/S0025-5718-1976-0386214-2.pdf; http://www.ams.org/mathscinet-getitem?mr=386214", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1976:TER, author = "D. Shanks", title = "Table errata: {``Regular continued fractions for $ \pi $ and $ \gamma $'', (Math. Comp. {\bf 25} (1971), 403); ``Rational approximations to $ \pi $'' (ibid. {\bf 25} (1971), 387--392) by K. Y. Choong, D. E. Daykin and C. R. Rathbone}", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "381--381", year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1976-0386215-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (10-04 10F20)", MRnumber = "0386215 (52 \#7073)", bibdate = "Wed Jan 14 13:22:34 2015", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-1976-0386215-4", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "The second paper in the title is actually a review of a report containing table of partial quotients for a simple continued fraction for $ \pi $.", } @Article{Anonymous:1976:TE, author = "Anonymous", title = "Table Errata", journal = j-MATH-COMPUT, volume = "30", number = "134", pages = "381--381", month = apr, year = "1976", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-76-99666-6", ISSN = "0025-5718 (print), 1088-6842 (electronic)", bibdate = "Wed Jan 14 14:08:12 MST 2015", bibsource = "http://www.ams.org/mcom/1976-30-134; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "http://www.ams.org/journals/mcom/1976-30-134/S0025-5718-76-99666-6", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Miranker:1976:AMS, author = "W. L. Miranker and G. Wahba", title = "An averaging method for the stiff highly oscillatory problem", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "383--399", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. of Paris-Sud, Paris, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "averaging method; differential equations; highly oscillatory problem; highly oscillatory solutions; numerical analysis; point functionals; stiff", treatment = "T Theoretical or Mathematical", } @Article{Mock:1976:PMD, author = "M. S. Mock", title = "Projection methods with different trial and test spaces", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "400--416", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; cubic splines; cubics; differential equations; finite element analysis; finite element projection methods; Galerkin procedures; Hermite; linear partial; partial differential equations; symmetric hyperbolic problems; test functions; trial functions", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1976:SNH, author = "G. K. Gupta", title = "Some new high-order multistep formulae for solving stiff equations", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "417--432", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Monash Univ., Clayton, Vict., Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; multistep formulae; numerical testing; stiff formulae; stiff ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Proskurowski:1976:NSH, author = "W{\l}odzimierz Proskurowski and Olof Widlund", title = "On the numerical solution of {Helmholtz}'s equation by the capacitance matrix method", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "433--468", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Computer Sci. Dept., Royal Inst. of Technol., Stockholm, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "capacitance matrix; Dirichlet and Neumann problems; fast Laplace solver; Helmholtz's equation; Laplace's equation; linear algebra; partial differential equations; potential theory", treatment = "A Application; T Theoretical or Mathematical", } @Article{Shaw:1976:ACE, author = "J. K. Shaw and L. W. Johnson and R. D. Riess", title = "Accelerating Convergence of Eigenfunction Expansions", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "469--477", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Virginia Polytech. Inst. and State Univ., Blacksburgh, VA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceleration; boundary-value problems; convergence; eigenfunction expansions; eigenvalues and eigenfunctions; Lanczos representation; selfadjoint boundary; value problems", treatment = "T Theoretical or Mathematical", } @Article{Best:1976:CAC, author = "Michael J. Best and Klaus Ritter", title = "A Class of Accelerated Conjugate Direction Methods for Linearly Constrained Minimization Problems", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "478--504", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Combinatorics and Optimization, Univ. of Waterloo, Waterloo, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accelerated conjugate direction methods; accelerating step; constrained minimisation; constrained optimisation; convergence; linear inequality constraints; linearly; mathematical programming; minimisation; stationary point; superlinear convergence", treatment = "A Application; T Theoretical or Mathematical", } @Article{Streit:1976:TSM, author = "R. F. Streit", title = "The {$ T^{+m} $} transformation", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "503--511", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Courant Inst. of Math. Sci., New York Univ, New York, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceleration of convergence; infinite series; nonlinear sequence to; sequence transform; T/sub +m/ transform; transforms", treatment = "T Theoretical or Mathematical", } @Article{Streit:1976:T, author = "Roland F. Streit", title = "The $ {T}_{+m} $ Transformation", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "505--511", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boggs:1976:CBI, author = "Paul T. Boggs", title = "The convergence of the {Ben-Israel} iteration for nonlinear least squares problems", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "512--522", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Div., US Army Res. Office, Res. Triangle Park, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; Ben Israel iteration; convergence; convergence of numerical methods; least squares; Lyapunov stability; nonlinear least squares; ordinary difference equations; theory", treatment = "T Theoretical or Mathematical", } @Article{More:1976:GCB, author = "J. J. More and J. A. Trangenstein", title = "On the global convergence of {Broyden}'s method", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "523--540", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Broyden's method; convergence of numerical methods; global convergence; nonlinear equations; nonlinear mappings; superlinear convergence", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1976:CR, author = "Henry E. Fettis", title = "Complex Roots of $ \sin z = a z, \cos z = a z $, and $ \cosh z = a z $", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "541--545", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex roots; cos z=az; cosh z=az; functional equations; sin z=az", treatment = "T Theoretical or Mathematical", } @Article{Zaremba:1976:CPG, author = "S. K. Zaremba", title = "On {Cartesian} Products of Good Lattices", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "546--552", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Math., Univ. de Sherbrooke, Sherbrooke, Que., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cartesian product; good lattice point; good lattices; integration; multiple integrals; three lattices", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1976:EMW, author = "M. E. Cohen", title = "Extensions of the {Mehler--Weisner} and Other Results for the {Hermite} Function", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "553--564", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., California State Univ., Fresno, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "addition theorem; bilateral generating function; bilinear relation; function; functions; Gegenbauer polynomial; generalised; Hermite function; polynomial expansion; polynomials; ultraspherical polynomials", treatment = "T Theoretical or Mathematical", } @Article{Salamin:1976:CUA, author = "Eugene Salamin", title = "Computation of $ \pi $ Using Arithmetic-Geometric Mean", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "565--570", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Charles Stark Draper Lab., Cambridge, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic geometric mean; convergence; elliptic integrals; error analysis; fast Fourier transform multiplication; function evaluation; Landen's; Legendre's relation; numerical computation of pi; transformation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Niederreiter:1976:DPR, author = "Harald Niederreiter", title = "On the distribution of pseudo-random numbers generated by the linear congruential method. {III}", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "571--597", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "School of Math., Inst. for Advanced Study, Princeton, NJ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "congruential generator; discrepancy estimates; distribution; linear; linear congruential method; maximal period sequences; number theory; pseudo random numbers; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Steiner:1976:ABF, author = "Ray Steiner and Ronald Rudman", title = "On an algorithm of {Billevich} for finding units in algebraic number fields", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "598--609", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Math. Dept., Bowling Green Univ., Bowling Green, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number fields; algorithm of Billevich; Cramer's rule; fundamental units; multiplicative lattices; number theory; units", treatment = "T Theoretical or Mathematical", } @Article{Buell:1976:CGQ, author = "Duncan A. Buell", title = "Class Groups of Quadratic Fields", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "610--623", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of Illinois, Chicago Circle, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class groups; complex quadratic number fields; cyclic group; discriminants; number theory; polynomials; prime; subgroup; Sylow", treatment = "T Theoretical or Mathematical", } @Article{McKay:1976:LDI, author = "John McKay", title = "The largest degrees of irreducible characters of the symmetric group", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "624--631", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods); C7310 (Mathematics computing)", corpsource = "Dept. of Computer Sci., Concordia Univ., Montreal, Que., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "group theory; irreducible characters; largest degrees; number theory; symmetric group", treatment = "A Application; T Theoretical or Mathematical", } @Article{Alonso:1976:GSF, author = "J. Alonso", title = "Groups of Square-Free Order, An Algorithm", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "632--637", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods); C7310 (Mathematics computing)", corpsource = "Dept. of Math., Bennett Coll., Greensboro, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "group theory; groups; number; number theory; programmable computation; square free order", treatment = "A Application; T Theoretical or Mathematical", } @Article{Blass:1976:NDE, author = "Josef Blass", title = "A Note on {Diophantine} Equation $ {Y}^2 + k = {X}^5 $", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "638--640", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Bowling Green Univ., Bowling Green, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; Diophantine equation; number theory; quadratic field; rational integers", treatment = "T Theoretical or Mathematical", } @Article{Erdos:1976:APA, author = "P. Erd{\H{o}}s", title = "On Asymptotic Properties of Aliquot Sequences", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "641--645", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aliquot sequences; asymptotic properties; density of; integers; number theory", treatment = "T Theoretical or Mathematical", } @Article{Brudno:1976:TSP, author = "Simcha Brudno", title = "Triples of Sixth Powers with Equal Sums", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "646--648", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; equal sums; number theory; sixth powers", treatment = "T Theoretical or Mathematical", } @Article{Hudson:1976:GCT, author = "Richard H. Hudson", title = "Generalizations of a classical theorem in number theory", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "649--656", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods); C7310 (Mathematics computing)", corpsource = "Dept. of Math. and Computer Sci., Univ. of South Carolina, Columbia, SC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "classical theorem; Jacobi asserts; Jacobi's conjecture; number theory; odd prime; quadratic residues", treatment = "A Application; T Theoretical or Mathematical", } @Article{Golomb:1976:PS, author = "Solomon W. Golomb", title = "Properties of the Sequence $ 3 \cdot 2^n + 1 $", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "657--663", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Electrical Engng. and Math., Univ. of Southern California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "finite field transforms; multiplicative group; multiplicative order; number theory; prime", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1976:Cb, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "30", number = "135", pages = "679--679", month = jul, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Scott:1976:OEF, author = "Ridgway Scott", title = "Optimal $ {L}^\infty $ Estimates for the Finite Element Method on Irregular Meshes", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "681--697", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error; error analysis; finite element analysis; finite element method; irregular meshes; L/sup infinity/ estimates; optimum", treatment = "T Theoretical or Mathematical", } @Article{Falk:1976:FEM, author = "Richard S. Falk", title = "A Finite Element Method for the Stationary {Stokes} Equations Using Trial Functions which do not have to Satisfy $ \operatorname {div} \upsilon = 0 $", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "698--702", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "finite element analysis; finite element method; functions; stationary Stokes equations; trial", treatment = "T Theoretical or Mathematical", } @Article{Gottlieb:1976:DTF, author = "David Gottlieb and Eli Turkel", title = "Dissipative Two-Four Methods for Time-Dependent Problems", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "703--723", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "dependent problems; dissipative two four methods; Lax Wendroff method; nonlinear differential equations; time", treatment = "T Theoretical or Mathematical", } @Article{Oliger:1976:HDM, author = "Joseph Oliger", title = "Hybrid difference methods for the initial boundary-value problem for hyperbolic equations", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "724--738", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Computer Sci. Dept., Stanford Univ., Stanford, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential equations; higher; hybrid difference methods; hyperbolic equations; initial value problem; initial value problems; lower order approximations; order interior approximations; partial", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1976:NCS, author = "Rolf Jeltsch", title = "A Necessary Condition for {$A$}-Stability of Multistep Multiderivative Methods", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "739--746", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Kentucky, Lexington, KY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A-stability; initial value problems; methods; multistep multiderivative; necessary condition", treatment = "T Theoretical or Mathematical", } @Article{Bownds:1976:SWS, author = "John M. Bownds", title = "On solving weakly singular {Volterra} equations of the first kind with {Galerkin} approximations", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "747--757", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Arizona, Tucson, AZ, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Galerkin approximations; integral equations; Volterra equations of the first kind; Volterra integral equation; weakly singular", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1976:IIC, author = "Ian H. Sloan", title = "Improvement by iteration for compact operator equations", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "758--764", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Univ. of New South Wales, Kensington, NSW, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "compact operator equations; iteration; iterative methods", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1976:BNA, author = "Carl {de Boor}", title = "A bound on the {$ L^\infty $}-norm of {$ L^2 $} --- approximation by splines in terms of a global mesh ratio", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "765--771", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bound; global mesh ratio; L/sub 2/-approximation; L/sub infinity/ norm; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Daniel:1976:RSA, author = "J. W. Daniel and W. B. Gragg and L. Kaufman and G. W. Stewart", title = "Reorthogonalization and Stable Algorithms for Updating the {Gram--Schmidt QR} Factorization", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "772--795", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci. and Math., Univ. of Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; Gram Schmidt QR factorisation; matrix algebra; process; reorthogonalization; stable algorithms", kwds = "nla, qrd, updating, Gram--Schmidt algorithm", treatment = "T Theoretical or Mathematical", } @Article{Goldfarb:1976:FVM, author = "Donald Goldfarb", title = "Factorized variable metric methods for unconstrained optimization", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "796--811", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1180 (Optimisation techniques)", corpsource = "City Coll., City Univ. of New York, New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cholesky factors; factorised variable metric methods; minimisation; positive definite matrix; symmetric; unconstrained optimization", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1976:NEG, author = "Giovanni Monegato", title = "A Note on Extended {Gaussian} Quadrature Rules", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "812--817", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "extended Gaussian quadrature rules; function; integration; nonnegative weight; weights", treatment = "T Theoretical or Mathematical", } @Article{Eckhardt:1976:RAW, author = "Ulrich Eckhardt", title = "A Rational Approximation to {Weierstrass}' $ \wp $-Function", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "818--826", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); C4130 (Interpolation and function approximation)", corpsource = "Nuclear Res. Center, Central Inst. for Appl. Math., Julich, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equianharmonic; function approximation; rational approximation; unit period parallelogram; Weierstrass' elliptic function; Weierstrass' p function", treatment = "T Theoretical or Mathematical", } @Article{Blair:1976:RCA, author = "J. M. Blair and C. A. Edwards and J. H. Johnson", title = "Rational {Chebyshev} approximations for the inverse of the error function", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "827--830", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Atomic Energy of Canada Ltd., Chalk River Nuclear Lab., Chalk River, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev approximations; error function; inverse; rational", treatment = "T Theoretical or Mathematical", } @Article{Okamoto:1976:ANM, author = "Masashi Okamoto", title = "Asymptotic Normality in {Monte Carlo} Integration", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "831--837", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math., Faculty of Engng. Sci., Osaka Univ., Osaka, Japan", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotically normally; distributed; estimators; integration; Monte Carlo integration; Monte Carlo methods", treatment = "T Theoretical or Mathematical", } @Article{Newman:1976:AFR, author = "Morris Newman", title = "Asymptotic formulas related to free products of cyclic groups", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "838--846", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Nat. Bur. of Stand., Washington, DC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic formulae; cyclic groups; free products; group theory", treatment = "T Theoretical or Mathematical", } @Article{Williams:1976:ECQ, author = "Kenneth S. Williams", title = "Explicit Criteria for Quintic Residuacity", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "847--853", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Carleton Univ., Ottawa, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "criteria; number theory; prime; quintic residuacity", treatment = "T Theoretical or Mathematical", } @Article{Cohn:1976:DP, author = "Harvey Cohn", title = "Dyadotropic Polynomials", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "854--862", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "City Coll. of New York, New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer; dihedral biquadratic fields; dyadotropic; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Spira:1976:ZHZ, author = "Robert Spira", title = "Zeros of {Hurwitz} Zeta Functions", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "863--866", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4120 (Functional analysis)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex zeros; Hurwitz zeta functions; poles and zeros; real zeros", treatment = "T Theoretical or Mathematical", } @Article{Williams:1976:SAP, author = "H. C. Williams and J. S. Judd", title = "Some Algorithms for Prime Testing Using Generalized {Lehmer} Functions", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "867--886", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; generalized Lehmer functions; integer; number theory; prime testing", treatment = "T Theoretical or Mathematical", } @Article{Williams:1976:CTE, author = "H. C. Williams and J. Broere", title = "A computational technique for evaluating {L}(1, chi ) and the class number of a real quadratic field", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "887--893", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; computational technique; evaluating; L(1, Chi); number theory; quadratic field; real", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1976:Cc, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "30", number = "136", pages = "900--900", month = oct, year = "1976", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pereyra:1977:HOF, author = "Victor Pereyra and Wlodzimierz Proskurowski and Olof Widlund", title = "High order fast {Laplace} solvers for the {Dirichlet} problem on general regions", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "1--16", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Stanford Univ., Stanford, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; capacitance matrix method; computer; difference equations; Dirichlet problem; extrapolation; fast Laplace solvers; finite difference; general bounded regions; Richardson extrapolation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Chui:1977:SBA, author = "Charles K. Chui and Philip W. Smith and Joseph D. Ward", title = "On the Smoothness of Best $ {L}_2 $ Approximants from Nonlinear Spline Manifolds", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "17--23", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; L/sub 2/ approximants; nonlinear spline manifolds; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Hennart:1977:OSP, author = "J. P. Hennart", title = "One-Step Piecewise Polynomial Multiple Collocation Methods for Initial Value Problems", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "24--36", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A stability; differential equations; first order differential equations; initial value problems; linear techniques; multiple collocation methods; numerical solution; piecewise polynomial approximation; piecewise-; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Varah:1977:CNL, author = "J. M. Varah", title = "On the condition number of local bases for piecewise cubic polynomials", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "37--44", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F35", MRnumber = "55 \#1719", MRreviewer = "C. A. Hall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/siggraph/77.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "condition number; cubic splines; finite element bases; Gram matrix; Hermite polynomials; inherent ambiguity; piecewise cubic polynomials; polynomials; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Baker:1977:FEM, author = "Garth A. Baker", title = "Finite element methods for elliptic equations using nonconforming elements", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "45--59", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; biharmonic operator; boundary; boundary-value problems; Dirichlet problem; discontinuous functions; elliptic equations; error analysis; error estimates; finite element; functions; method; nonconforming elements; piecewise polynomial; polynomials; Sobolev spaces; value problem", treatment = "T Theoretical or Mathematical", } @Article{Sammon:1977:DLS, author = "Peter H. Sammon", title = "A Discrete Least Squares Method", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "60--65", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; boundary value problem; boundary-value problems; convergence; discrete least square approximation; elliptic operator; Gaussian; integration; least squares; piecewise polynomials; quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Flaherty:1977:NSB, author = "Joseph E. Flaherty and R. E. {O'Malley, Jr.}", title = "The numerical solution of boundary value problems for stiff differential equations", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "66--93", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; differential equations; numerical solution; singular perturbation theory; stiff", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1977:HOL, author = "J. H. Bramble and A. H. Schatz", title = "Higher order local accuracy by averaging in the finite element method", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "94--111", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "averaging; boundary-value problems; elliptic boundary value problem; finite element analysis; finite element method; Ritz Galerkin approximation", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1977:FFN, author = "Arieh Iserles", title = "Functional Fitting --- New Family of Schemes for Integration of Stiff {O.D.E.}", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "112--123", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; functional fitting; integration; ordinary differential equations; stiff; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1977:MMU, author = "Rolf Jeltsch", title = "Multistep methods using higher derivatives and damping at infinity", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "124--138", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A stability; damping at infinity; damping order; differential equations; Hermite methods; higher derivatives; L stable; linear multistep methods; ordinary differential equations; stiff stability; strongly A stable", treatment = "T Theoretical or Mathematical", } @Article{Mosevich:1977:IDE, author = "Jack W. Mosevich", title = "Identifying differential equations by {Galerkin}'s method", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "139--147", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; Galerkin's method; integral equation", treatment = "T Theoretical or Mathematical", } @Article{Meijerink:1977:ISM, author = "J. A. Meijerink and H. A. {van der Vorst}", title = "An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric {$M$}-Matrix", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "148--162", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficient; conjugate gradient; iterative methods; iterative solution method; linear systems; matrix; method; partial differential equations; regular splittings; sparse; symmetric M matrices", kwds = "nla, linear system, iter, M-matrix, symmetric matrix, incomplete factorization", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1977:SSM, author = "James R. Bunch and Linda Kaufman", title = "Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "163--179", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/conc.scientific.computing.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "inertia; linear equations; matrices; matrix algebra; matrix decomposition; stable methods; symmetric; symmetric linear systems", kwds = "math, nla, linear system, inertia, symmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{Feldstein:1977:ABV, author = "Alan Feldstein and J. F. Traub", title = "Asymptotic behavior of vector recurrences with applications", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "180--192", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic behaviour; composite iteration; computational complexity; equations; homogeneous recurrence; iteration; iterative methods; nonlinear; nonlinear iteration; parallel; parallel computation; parallel processing; vector recurrences; vectors", treatment = "T Theoretical or Mathematical", } @Article{Ford:1977:GJT, author = "J. A. Ford", title = "A Generalization of the {Jenkins--Traub} Method", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "193--203", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary parameter; convergence; convergence of numerical methods; Jenkins Traub method; polynomials; zeros", treatment = "T Theoretical or Mathematical", } @Article{Miel:1977:PEE, author = "George Miel", title = "On a Posteriori Error Estimates", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "204--213", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Banach space; error analysis; functional analysis; Hilbert; posteriori error estimates; sequence; space", treatment = "T Theoretical or Mathematical", } @Article{Derenzo:1977:AHC, author = "Stephen E. Derenzo", title = "Approximations for Hand Calculators Using Small Integer Coefficients", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "214--222", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb # " and " # ack-nj, classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C7310 (Mathematics computing)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; function approximation; function evaluation; hand calculators; programmable calculators; small integer coefficients", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lether:1977:SCS, author = "F. G. Lether", title = "Subtracting out complex singularities in numerical integration", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "223--229", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex singularities; integration; numerical integration; quadrature; subtracting out singularities", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1977:OHC, author = "Herbert E. Salzer", title = "Osculatory and Hyperosculatory Cubature Formulas", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "230--234", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate interpolation; dominant remainder terms; hyperosculatory cubature; interpolation; osculatory cubature", treatment = "T Theoretical or Mathematical", } @Article{Moenck:1977:EAP, author = "Robert T. Moenck", title = "On the efficiency of algorithms for polynomial factoring", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "235--250", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic; analysis of algorithms; Berlekamp's algorithm; manipulation; polynomial factoring; polynomials; roots in finite fields", treatment = "T Theoretical or Mathematical", } @Article{McCarthy:1977:OAE, author = "D. P. McCarthy", title = "The optimal algorithm to evaluate $ x^n $ using elementary multiplication methods", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "251--256", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4120 (Functional analysis); C4240 (Programming and algorithm theory)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; function evaluation; optimal multiplication chains; symbolic algebraic manipulation", treatment = "T Theoretical or Mathematical", } @Article{Boas:1977:GPS, author = "R. P. {Boas, Jr.}", title = "Growth of Partial Sums of Divergent Series", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "257--264", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Comtet; divergent series; Euler's constant; function; function evaluation; partial sums; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Angell:1977:TP, author = "I. O. Angell and H. J. Godwin", title = "On Truncatable Primes", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "265--267", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0240Z (Other topics in statistics); C1140Z (Other topics in statistics); C5230 (Digital arithmetic methods)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number base; number theory; primes; probability; truncatable primes", treatment = "T Theoretical or Mathematical", } @Article{Ojala:1977:EAC, author = "T. Ojala", title = "{Euclid}'s algorithm in the cyclotomic field {$ Q(\zeta^{16}) $}", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "268--273", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; algebraic number; automorphism; cyclotomic field; Euclid's algorithm; field; topology", treatment = "T Theoretical or Mathematical", } @Article{Kishore:1977:OPN, author = "Masao Kishore", title = "Odd perfect numbers not divisible by 3 are divisible by at least ten distinct primes", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "274--279", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; odd perfect number; prime factor; primes", treatment = "T Theoretical or Mathematical", } @Article{Cusick:1977:SMC, author = "T. W. Cusick", title = "The {Szekeres} Multidimensional Continued Fraction", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "280--317", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290F (Interpolation and function approximation); C1110 (Algebra); C4130 (Interpolation and function approximation); C5230 (Digital arithmetic methods)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; Diophantine inequality; forms; number theory; Szekeres multidimensional continued fraction; ternary linear; totally real cubic field", treatment = "T Theoretical or Mathematical", } @Article{Bauer:1977:AMC, author = "F. L. Bauer", title = "{Angstl}'s mechanism for checking well-formedness of parenthesis-free formulae", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "318--320", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5420 (Mainframes and minicomputers)", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "controlled logical computer; formula; parenthesis free formulae; relay calculator; special purpose computers; STANISLAUS", treatment = "T Theoretical or Mathematical", } @Article{Thacher:1977:ACC, author = "Henry C. Thacher", title = "Book Review: {{\booktitle{Applied and Computational Complex Analysis}}, by Peter Henrici}", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "325--326", month = jan, year = "1977", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2005805", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jan 28 09:50:22 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib", URL = "https://www.jstor.org/stable/pdf/2005805.pdf", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1977:Ca, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "330--330", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1977:A, author = "Anonymous", title = "Acknowledgement", journal = j-MATH-COMPUT, volume = "31", number = "137", pages = "331--331", month = jan, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brandt:1977:MLA, author = "Achi Brandt", title = "Multi-Level Adaptive Solutions to Boundary-Value Problems", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "333--390", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Misc/Reverse.eng.bib; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Weizmann Inst. of Sci., Rehovot, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive solutions; boundary value problems; boundary-value problems; multilevel", treatment = "T Theoretical or Mathematical", } @Article{Raviart:1977:PHF, author = "P. A. Raviart and J. M. Thomas", title = "Primal hybrid finite element methods for 2nd order elliptic equations", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "391--413", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Lab. Analyse Numerique, Univ. Pierre and Marie Curie, Paris, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error bounds; finite element analysis; finite element methods; nonlinear differential equations; primal hybrid variational principle; second order elliptic equations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Schatz:1977:IMN, author = "A. H. Schatz and L. B. Wahlbin", title = "Interior maximum norm estimates for finite element methods", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "414--442", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error; error analysis; finite element analysis; finite element methods; interior domain; maximum norm estimates", treatment = "T Theoretical or Mathematical", } @Article{Houstis:1977:AMC, author = "E. N. Houstis", title = "Application of method of collocation on lines for solving nonlinear hyperbolic problems", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "443--456", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergence rates; equations; method of collocation on lines; nonlinear hyperbolic; partial differential; partial differential equations; problems", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1977:UCG, author = "Frank Natterer", title = "Uniform convergence of {Galerkin}'s method for splines on highly nonuniform meshes", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "457--468", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Angewandte Math. und Informatik, Univ. des Saarlandes, Saarbrucken, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; estimate; Galerkin's method; highly nonuniform meshes; splines; splines (mathematics); uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Goldberg:1977:BET, author = "Moshe Goldberg", title = "On a boundary extrapolation theorem by {Kreiss}", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "469--477", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary extrapolation theorem; extrapolation; initial value problems; linear hyperbolic initial; stability; value problems", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1977:ESD, author = "Martin H. Gutknecht", title = "Existence of a solution to the discrete {Theodorsen} equation for conformal mappings", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "478--480", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Dept. of Computer Sci., Univ. of British Columbia, Vancouver, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conformal mappings; discrete Theodorsen equation; integral equations; Jordan regions; methods; numerical; starlike; unit disc", treatment = "T Theoretical or Mathematical", } @Article{Jerri:1977:CHF, author = "A. J. Jerri", title = "Computations of the {Hill} Functions of Higher Order", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "481--484", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4120 (Functional analysis)", corpsource = "Dept. of Math., Clarkson Coll. of Technol., Potsdam, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; higher order; hill functions; storage", treatment = "T Theoretical or Mathematical", } @Article{Henry:1977:CAM, author = "Jackson N. Henry", title = "Comparison of algorithms for multivariate rational approximation", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "485--494", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., California State Coll., Dominguez Hills, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; computing time; differences; differential correction; discontinuity; errors; function approximation; multivariate rational approximation", treatment = "T Theoretical or Mathematical", } @Article{Field:1977:ESC, author = "David A. Field", title = "Estimates of the speed of convergence of continued fraction expansions of functions", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "495--502", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4120 (Functional analysis)", corpsource = "Dept. of Math., Coll. of the Holy Cross, Worcester, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction expansions; convergence of numerical methods; error analysis; error estimates; evaluation; function; functions; speed of convergence", treatment = "T Theoretical or Mathematical", } @Article{Dijkstra:1977:CFE, author = "D. Dijkstra", title = "A continued fraction expansion for a generalization of {Dawson}'s integral", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "503--510", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Tech. Univ. Twente, Enschede, Netherlands", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "confluent hypergeometric; continued fraction expansion; Dawson's; error analysis; function; function evaluation; generalization; integral; integration; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1977:SCG, author = "M. E. Cohen", title = "Some classes of generating functions for the {Laguerre} and {Hermite} polynomials", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "511--518", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., California State Univ., Fresno, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generating functions; Hermite polynomials; Laguerre; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1977:CRF, author = "Wells Johnson", title = "On congruences related to the first case of {Fermat}'s last theorem", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "519--526", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Bowdoin Coll., Brunswick, ME, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "congruences; Fermat's last theorem; number theory; numerical; prime; primitive cube root", treatment = "T Theoretical or Mathematical", } @Article{Durbin:1977:PRF, author = "John R. Durbin and K. Bolling Farmer", title = "On projective representations of finite wreath products", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "527--535", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abelian; finite wreath products; group theory; groups; projective representations", treatment = "T Theoretical or Mathematical", } @Article{Plesken:1977:MFIa, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of $ {GL}(n, \mathbf {Z}) $: {I}. The Five and Seven Dimensional Cases", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "536--551", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Lehrstuhl fur Math., RWTH Aachen, Aachen, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "dimensional; five dimensional; GL(n,Z); group theory; maximal finite irreducible subgroups; seven", treatment = "T Theoretical or Mathematical", } @Article{Plesken:1977:MFIb, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of $ {GL}(n, \mathbf {Z}) $: {II}. The Six Dimensional Case", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "552--573", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Lehrstuhl fur Math., RWTH Aachen, Aachen, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "dimensional; GL(n,Z); group theory; maximal finite irreducible subgroups; six", treatment = "T Theoretical or Mathematical", } @Article{Cato:1977:OKS, author = "Craig Cato", title = "The orders of the known simple groups as far as one trillion", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "574--577", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math. Sci., Univ. of Minnesota, Duluth, MN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "group theory; known simple groups; one trillion; orders", treatment = "T Theoretical or Mathematical", } @Article{Williams:1977:CPC, author = "H. C. Williams", title = "Certain Pure Cubic Fields With Class-Number One", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "578--580", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See errata \cite{Williams:1979:ECP}.", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; number theory; prime; pure cubic fields", treatment = "T Theoretical or Mathematical", } @Article{Howard:1977:NGR, author = "F. T. Howard", title = "Numbers Generated by the Reciprocal of $ e^x - x - 1 $", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "581--598", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Wake Forest Univ., Winston-Salem, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bernoulli numbers; number theory; polynomials; rational numbers; reciprocal; relationship; Stirling numbers", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1977:PFC, author = "D. H. Lehmer", title = "Prime Factors of Cyclotomic Class Numbers", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "599--607", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclotomic class numbers; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1977:QAN, author = "Peter {Hagis, Jr.} and Graham Lord", title = "Quasi-Amicable Numbers", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "608--611", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; quasiamicable numbers", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1977:Cb, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "31", number = "138", pages = "617--617", month = apr, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Berger:1977:EET, author = "Alan E. Berger and Richard S. Falk", title = "An error estimate for the truncation method for the solution of parabolic obstacle variational inequalities", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "619--628", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; error analysis; error estimate; numerical; parabolic obstacle; truncation method; variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Engquist:1977:ABC, author = "Bj{\"o}rn Engquist and Andrew Majda", title = "Absorbing boundary conditions for the numerical simulation of waves", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "629--651", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "artificial boundaries; local boundary conditions; numerical simulation; partial differential equations; stable difference approximations; waves", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1977:HOL, author = "Vidar Thomee", title = "High order local approximations to derivatives in the finite element method", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "652--660", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Math. Dept., Chalmers Univ. of Technol., Goteborg, Sweden", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; derivatives; elliptic boundary value problem; finite element analysis; finite element method; local approximations; superconvergent", treatment = "T Theoretical or Mathematical", } @Article{Gunzburger:1977:SGM, author = "Max D. Gunzburger", title = "On the stability of {Galerkin} methods for initial-boundary value problems for hyperbolic systems", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "661--675", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Math. Dept., Univ. of Tennessee, Knoxville, TN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Galerkin methods; hyperbolic systems; initial; initial value problems; stability; value problems", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1977:ALM, author = "Frank R. {de Hoog} and Richard Weiss", title = "The application of linear multistep methods to singular initial value problems", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "676--690", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; initial value problems; linear multistep methods; nonlinear first order system; partial differential; singular initial value problems; symmetry", treatment = "T Theoretical or Mathematical", } @Article{Goldfine:1977:TSM, author = "Alan Goldfine", title = "{Taylor} series methods for the solution of {Volterra} integral and integro-differential equations", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "691--707", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "US Bur. of the Census, Washington, DC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary order; asymptotic; computer implementation; equations; error analysis; integral equation; integral equations; integro-differential; integrodifferential equations; Taylor series methods; Volterra", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1977:DVI, author = "Hermann Brunner", title = "Discretization of {Volterra} integral equations of the first kind", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "708--716", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Math. Dept., Dalhousie Univ., Halifax, NS, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discretisation; first kind; integral equations; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{McAllister:1977:ACS, author = "David F. McAllister and Eli Passow and John A. Roulier", title = "Algorithms for Computing Shape Preserving Spline Interpolations to Data", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "717--725", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.77.bib; Graphics/siggraph/77.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Computer Sci. Dept., North Carolina State Univ., Raleigh, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computing; convexity; monotonicity; shape preserving; spline interpolations; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Chen:1977:IID, author = "Nai-fu Chen", title = "Inverse Iteration on Defective Matrices", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "726--732", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Math. Dept., Univ. of Southern California, Los Angeles, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; convergence; defective matrices; eigenvalues and eigenfunctions; inverse iteration; iterative methods; matrix; shifts", treatment = "T Theoretical or Mathematical", } @Article{Hoskins:1977:INC, author = "W. D. Hoskins and D. S. Meek", title = "The infinity norm of a certain type of symmetric circulant matrix", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "733--737", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Math. Dept., Brunel Univ., Uxbridge, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "infinity norm; matrix algebra; symmetric circulant matrix; Toeplitz matrices", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1977:UPA, author = "Avram Sidi", title = "Uniqueness of {Pad{\'e}} approximants from series of orthogonal polynomials", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "738--739", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Tel-Aviv Univ., Ramat-Aviv, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; orthogonal polynomials; Pad{\'e} approximants; polynomials; series; unique", treatment = "T Theoretical or Mathematical", } @Article{Preparata:1977:CCF, author = "F. P. Preparata and D. V. Sarwate", title = "Computational complexity of {Fourier} transforms over finite fields", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "740--751", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Univ. of Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; Discrete Fourier; fast Fourier transforms; finite fields; Fourier transforms; Transform", treatment = "T Theoretical or Mathematical", } @Article{Pexton:1977:RTTa, author = "Robert L. Pexton and Arno D. Steiger", title = "Roots of two transcendental equations involving spherical {Bessel} functions", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "752--753", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", corpsource = "Univ. of California, Livermore, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; root; spherical Bessel functions; transcendental equations", treatment = "T Theoretical or Mathematical", } @Article{Pohst:1977:ENG, author = "Michael Pohst and Hans Zassenhaus", title = "An effective number geometric method of computing the fundamental units of an algebraic number field", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "754--770", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Univ. zu Koln, Koln, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number field; computing; fundamental units; Minkowski method; number geometric method; number theory; unit search", treatment = "T Theoretical or Mathematical", } @Article{Brent:1977:CRC, author = "Richard P. Brent", title = "Computation of the regular continued fraction for {Euler}'s constant", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "771--777", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation; Euler's constant; number theory; regular continued fraction", treatment = "T Theoretical or Mathematical", } @Article{Williams:1977:CS, author = "H. C. Williams and R. Holte", title = "Computation of the Solution of {$ x^3 + D y^3 = 1 $}", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "778--785", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra); C7310 (Mathematics computing)", corpsource = "Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer technique; integer solutions; linear algebra", treatment = "T Theoretical or Mathematical", } @Article{Buell:1977:SCN, author = "Duncan A. Buell", title = "Small class numbers and extreme values of {$L$}-functions of quadratic fields", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "786--796", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Math. Dept., Carleton Univ., Ottawa, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; extreme values; L-functions; number theory; quadratic fields", treatment = "T Theoretical or Mathematical", } @Article{Matthew:1977:SNP, author = "G. Matthew and H. C. Williams", title = "Some New Primes of the Form $ k \cdot 2^n + 1 $", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "797--798", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Fermat numbers; number theory; primes", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1977:Cc, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "31", number = "139", pages = "808--808", month = jul, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brezzi:1977:AMF, author = "F. Brezzi and C. Johnson and B. Mercier", title = "Analysis of a mixed finite element method for elasto-plastic plates", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "809--817", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation)", corpsource = "Centre de Math. Appliqu{\'e}es, Ecole Polytech., Palaiseau, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; displacement; elasto; elastoplasticity; error analysis; error estimate; finite element analysis; finite element method; moments; plastic plate; plastic plates; regularity", treatment = "T Theoretical or Mathematical", } @Article{Baker:1977:SSG, author = "Garth A. Baker and James H. Bramble and Vidar Thomee", title = "Single step {Galerkin} approximations for parabolic problems", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "818--847", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Aiken Computation Lab., Harvard Univ., Cambridge, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; differential equations; discretization; error analysis; Galerkin approximations; Galerking approximations; initial boundary value problems; methods; nonlinear; parabolic problems; single step; spatial", treatment = "T Theoretical or Mathematical", } @Article{LeRoux:1977:NCE, author = "A. Y. {Le Roux}", title = "A Numerical Conception of Entropy for Quasi-Linear Equations", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "848--872", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. de Math., Inst. Nat. des Sci. Appliqu{\'e}es, Rennes, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; Cauchy problem; condition; convergence; convergence of numerical methods; difference schemes; differential equations; entropy; integral equations; quasilinear equations", treatment = "T Theoretical or Mathematical", } @Article{Jespersen:1977:LSD, author = "Dennis C. Jespersen", title = "A least squares decomposition method for solving elliptic equations", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "873--880", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic equations; error analysis; least; least squares approximations; least squares decomposition method; methods; numerical; numerical method; partial differential equations; squares", treatment = "T Theoretical or Mathematical", } @Article{Morris:1977:CPN, author = "A. G. Morris and T. S. Horner", title = "{Chebyshev} polynomials in the numerical solution of differential equations", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "881--891", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Wollongong, Wollongong, NSW, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; boundary-value problems; Chebyshev approximation; Chebyshev polynomials; differential equations; polynomials; value problems", treatment = "T Theoretical or Mathematical", } @Article{Nicolaides:1977:CAS, author = "R. A. Nicolaides", title = "On the $ l^2 $ Convergence of an Algorithm for Solving Finite Element Equations", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "892--906", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "C1180 (Optimisation techniques); C4120 (Functional analysis); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence; convergence of numerical methods; finite element equations; functional equations; iterative; l/sup 2/ convergence; method; minimisation; multiple grid type; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Frank:1977:EAI, author = "Reinhard Frank and Joerg Hertling and Christoph W. Ueberhuber", title = "An extension of the applicability of iterated deferred corrections", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "907--915", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. fur Numerische Math., Tech. Univ. Wien, Wien, Austria", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; differential equations; error analysis; error estimates; iterated deferred corrections; local discretization errors; polynomials", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1977:CCG, author = "Carl {de Boor} and Blair Swartz", title = "Comments on the Comparison of Global Methods for Linear Two-Point Boundary Value Problems", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "916--921", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; collocation; continuous piecewise polynomials; differential equations; global methods; mesh; polynomials; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Alfeld:1977:CDS, author = "P. Alfeld and J. D. Lambert", title = "Correction in the dominant space: a numerical technique for a certain class of stiff initial value problems", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "922--938", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1120 (Mathematical analysis); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Dundee, Dundee, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; dominant space; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; initial value; initial value problems; method; multistep; power method; problem; stiff initial value problems", treatment = "T Theoretical or Mathematical", } @Article{Sacks-Davis:1977:EES, author = "R. Sacks-Davis", title = "Error estimates for a stiff differential equation procedure", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "939--953", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Computer Sci. Dept., Univ. of Melbourne, Parkville, Vic., Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; error analysis; error estimate; formulas; local error; methods; predictor-corrector; second derivative; stiff differential equation", treatment = "T Theoretical or Mathematical", } @Article{Toint:1977:SSM, author = "Ph. L. Toint", title = "On sparse and symmetric matrix updating subject to a linear equation", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "954--961", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math. and Theoretical Phys., Univ. of Cambridge, Cambridge, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Frobenius matrix norm; matrix; matrix algebra; matrix updating; optimisation; quasi Newton methods; sparse matrix; sparsity", treatment = "T Theoretical or Mathematical", } @Article{Gay:1977:MSV, author = "David Gay", title = "Modifying singular values: existence of solutions to systems of nonlinear equations having a possibly singular {Jacobian} matrix", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "962--973", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigenda \cite{Gay:1979:CMS}.", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Computer Res. Center for Economics and Management Sci., Nat. Bur. of Economic Res. Inc., Cambridge, MA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; Jacobian matrix; matrix algebra; nondegeneracy; nonlinear; nonlinear equations; singular Jacobian matrix", treatment = "T Theoretical or Mathematical", } @Article{Abdelmalek:1977:CSC, author = "Nabih N. Abdelmalek", title = "Computing the strict {Chebyshev} solution of overdetermined linear equations", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "974--983", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Div. of Electrical Engng., Nat. Res. Council, Ottawa, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characteristic set; Chebyshev; Chebyshev approximation; full rank; inverse; linear algebra; linear programming; matrix; overdetermined linear equations; rank deficient; strict Chebyshev solution", treatment = "T Theoretical or Mathematical", } @Article{Barrow:1977:GIF, author = "David L. Barrow", title = "{Gauss} interpolation formulas and totally positive kernels", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "984--993", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "basis functions; Chebyshev approximation; Chebyshev system; differential equations; equation; Gauss interpolation formulas; heat; interpolation; kernel; topological degree; totally positive kernels", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1977:ACC, author = "Walter Gautschi", title = "Anomalous convergence of a continued fraction for ratios of {Kummer} functions", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "994--999", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1120 (Mathematical analysis); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "apparent; Bessel functions; continued fraction; convergence; differential equations; gamma functions; Kummer functions; wrong limit", treatment = "T Theoretical or Mathematical", } @Article{Pexton:1977:RTTb, author = "Robert L. Pexton and Arno D. Steiger", title = "Roots of two transcendental equations determining the frequency spectra of standing spherical electromagnetic waves", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1000--1002", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A4110H (Electromagnetic waves: theory)", corpsource = "Lawrence Livermore Lab., Univ. of California, Livermore, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "electromagnetic; electromagnetic waves; frequency spectra; standing waves; transcendental equations; waves", treatment = "T Theoretical or Mathematical", } @Article{Schett:1977:RFT, author = "Alois Schett", title = "Recurrence formula of the {Taylor} series expansion coefficients of the {Jacobian} elliptic functions", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1003--1005", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", corpsource = "CENS, Gif-sur-Yvette, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic functions; functions; Jacobian elliptic; peak; recurrence formula; run up; Taylor series expansion coefficients", treatment = "T Theoretical or Mathematical", } @Article{Berman:1977:OAP, author = "Joel Berman and Kit Hanes", title = "Optimizing the arrangement of points on the unit sphere", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1006--1008", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1180 (Optimisation techniques); C7310 (Mathematics computing)", corpsource = "Dept. of Math., Univ. of Illinois at Chicago Circle, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer algorithm; mutual distances; numerical analysis; optimisation; points on; unit sphere", treatment = "T Theoretical or Mathematical", } @Article{Kinderman:1977:CMS, author = "A. J. Kinderman and J. F. Monahan and J. G. Ramage", title = "Computer methods for sampling from {Student}'s $t$ distribution", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1009--1018", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Distributed/QLD.bib; Distributed/QLD/1977.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1140 (Probability and statistics); C7310 (Mathematics computing)", corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA", date = "13/05/93", descriptors = "RVG", enum = "7500", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceptance rejection procedures; probability mixing; sampling; statistics; Student's t distribution", language = "English", location = "SEL: Wi", references = "0", revision = "16/01/94", treatment = "T Theoretical or Mathematical", } @Article{Parry:1977:RQF, author = "Charles J. Parry", title = "Real quadratic fields with class numbers divisible by five", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1019--1029", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; cyclic biquadratic field; number theory; quadratic fields; real quadratic field", treatment = "T Theoretical or Mathematical", } @Article{Weintraub:1977:SPA, author = "Sol Weintraub", title = "Seventeen Primes in Arithmetic Progression", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1030--1030", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Queens Coll., City Univ. of New York, Flushing, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; arithmetic progression; number theory; primes", treatment = "T Theoretical or Mathematical", } @Article{Long:1977:CDT, author = "F. W. Long", title = "Corrections to {Dickson}'s table of three dimensional division algebras over {$ F_5 $}", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1031--1033", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra); C7310 (Mathematics computing)", corpsource = "Pure Math. Dept., Univ. Coll. of Wales, Aberystwyth, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; division algebras; three dimensional division algebras", treatment = "T Theoretical or Mathematical", } @Article{Buell:1977:IBB, author = "D. A. Buell and H. C. Williams and K. S. Williams", title = "On the Imaginary Bicyclic Biquadratic Fields With Class-Number $2$", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1034--1042", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tuckerman:1977:C, author = "Bryant Tuckerman", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "31", number = "140", pages = "1051--1051", month = oct, year = "1977", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fatunla:1978:ITP, author = "Simeon Ola. Fatunla", title = "An Implicit Two-Point Numerical Integration Formula for Linear and Nonlinear Stiff Systems of Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "1--11", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Benin, Benin City, Nigeria", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "combination; differential equations; exponential functions linear; initial; integration; integration algorithm; linear differential equations; nonlinear; ordinary; two point numerical integration; value problem; widely varying eigenvalues", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gupta:1978:ISD, author = "G. K. Gupta", title = "Implementing Second-Derivative Multistep Methods Using the {Nordsieck} Polynomial Representation", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "13--18", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Ben-Gurion Univ., Beersheba, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; equations; Nordsieck polynomial representation; numerical methods; ordinary differential; polynomials; second derivative multistep methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Iserles:1978:SDP, author = "Arieh Iserles", title = "{$A$}-Stability and Dominating Pairs", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "19--33", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Ben-Gurion Univ., Beersheba, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "exponential approximation pair; function approximation", treatment = "T Theoretical or Mathematical", } @Article{Kramarz:1978:GAS, author = "Luis Kramarz", title = "Global Approximations to Solutions of Initial Value Problems", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "35--59", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Emory Univ., Atlanta, GA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; differential equations; global approximation; Hermite interpolation; initial value problems; methods; numerical; one step implicit method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bayliss:1978:DSS, author = "Alvin Bayliss", title = "A double shooting scheme for certain unstable and singular boundary value problems", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "61--71", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "NASA Langley Res. Center, Hampton, VA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence; double shooting scheme; exponential dichotomy; exponentially unstable linear system; linear differential equations; problems; random data; singular boundary value problems; unstable boundary value", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schatz:1978:MNE, author = "A. H. Schatz and L. B. Wahlbin", title = "Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "73--109", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence rate; Dirichlet; error analysis; finite element analysis; finite element method; maximum error location; maximum norm estimates; plane polygonal domains; problem; stress intensity factors", treatment = "T Theoretical or Mathematical", } @Article{King:1978:CET, author = "J. Thomas King and Steven M. Serbin", title = "Computational experiments and techniques for the penalty method with extrapolation", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "111--126", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15", MRnumber = "81c:65052", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Sci., Univ. of Cincinnati, Cincinnati, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; elliptic boundary value problems; Euclidean; extra linear algebraic systems; extrapolation; iterative; iterative methods; linear algebra; penalty method; relative error; technique", treatment = "A Application; T Theoretical or Mathematical", } @Article{Nicolaides:1978:ORC, author = "R. A. Nicolaides", title = "On the observed rate of convergence of an iterative method applied to a model elliptic difference equation", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "127--133", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; difference equations; iterative methods; model elliptic difference equation; multigrid algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mansfield:1978:CTT, author = "Lois Mansfield", title = "A {Clough--Tocher} type element useful for fourth order problems over nonpolygonal domains", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "135--142", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.78.bib; Graphics/siggraph/78.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods)", corpsource = "NASA Langley Res. Center, Hampton, VA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "curved boundaries; error analysis; finite element analysis; finite element approximations; fourth order elliptic; problems", treatment = "T Theoretical or Mathematical", } @Article{Ciment:1978:NOC, author = "Melvyn Ciment and Stephen H. Leventhal", title = "A note on the operator compact implicit method for the wave equation", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "143--147", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Naval Surface Weapons Center, White Oak Lab., Silver Spring, MD, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; compact implicit; differential equations; numerical methods; operator; operator compact implicit method; wave equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hadjidimos:1978:AOM, author = "Apostolos Hadjidimos", title = "Accelerated Overrelaxation Method", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "149--157", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Ioannina, Ioannina, Greece", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; linear equations systems; numerical methods; successive overrelaxation method", treatment = "A Application; N New Development; T Theoretical or Mathematical", } @Article{Houstis:1978:CMF, author = "E. N. Houstis and T. S. Papatheodorou", title = "A collocation method for {Fredholm} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "159--173", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette, IN, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation method; Fredholm integral equations; integral equations; interpolation; piecewise cubic polynomials; second kind", treatment = "A Application; T Theoretical or Mathematical", } @Article{Winograd:1978:CDF, author = "S. Winograd", title = "On Computing the Discrete {Fourier} Transform", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "175--199", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Math. Sci. Dept., IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; complexity theory; computing; discrete Fourier transform; Fourier transforms", treatment = "A Application; T Theoretical or Mathematical", } @Article{Greenstadt:1978:RDF, author = "John Greenstadt", title = "Revision of a Derivative-Free Quasi-{Newton} Method", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "201--221", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "IBM Corp., Palo Alto Sci. Center, Palo Alto, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "derivative free quasi Newton method; difference equations; function approximation; Hessian matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Dotson:1978:IPN, author = "W. G. {Dotson, Jr.}", title = "An iterative process for nonlinear monotonic nonexpansive operators in {Hilbert} space", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "223--225", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Hilbert space; iterative methods; iterative process; nonlinear equations; nonlinear monotonic nonexpansive; operators", treatment = "T Theoretical or Mathematical", } @Article{Diamond:1978:SRI, author = "Harold G. Diamond", title = "Stability of Rounded Off Inverses Under Iteration", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "227--232", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; iterative methods; positive integer; rounded off inverse stability", treatment = "T Theoretical or Mathematical", } @Article{Kaufman:1978:CRD, author = "Edwin H. {Kaufman, Jr.} and David J. Leeming and G. D. Taylor", title = "A Combined {Remes}-Differential Correction Algorithm for Rational Approximation", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "233--242", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "iterative methods; nonlinear equations; nonlinear system; Remes differential correction algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Monegato:1978:PWE, author = "Giovanni Monegato", title = "Positivity of the weights of extended {Gauss--Legendre} quadrature rules", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "243--245", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino, Italy", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "extended Gauss Legendre quadrature rules; integration; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1978:SRC, author = "Giovanni Monegato", title = "Some remarks on the construction of extended {Gaussian} quadrature rules", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "247--252", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino, Italy", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissas; algorithm; computation; extended Gaussian quadrature rules; numerical methods; polynomials; ultraspherical type weight function integral", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1978:SMM, author = "William J. Gordon and James A. Wixom", title = "{Shepard}'s Method of ``Metric Interpolation'' to Bivariate and Multivariate Interpolation", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "253--264", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/siggraph/78.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Dept., General Motors Res. Labs., Warren, MI, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrarily spaced discrete bivariate; data; Euclidean metric; function approximation; interpolation; metric interpolation; partial derivative data", treatment = "T Theoretical or Mathematical", } @Article{Schmidt:1978:EI, author = "Paul W. Schmidt", title = "Evaluation of the Integral $ \int^\infty_0 \frac {t^{2 \alpha - 1} J_\nu (x \sqrt {1 + t^2})}{(1 + t^2)^{\alpha + \beta - 1}} d t $", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "265--269", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Phys. Dept., Univ. of Missouri, Columbia, MO, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cylinder diameter distribution; first kind Bessel function; integral evaluation; integration; long circular; neutron scattering data; numerical analysis; power series expansions; recurrence; relations", treatment = "A Application; T Theoretical or Mathematical", } @Article{DiDonato:1978:AR, author = "A. R. DiDonato", title = "An Approximation for $ \int^\infty_x e^{-t^2 / 2} t^p d t, x > 0, p $ Real", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "271--275", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Naval Surface Weapons Center, Dahlgren, VA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integral approximation; integration; numerical analysis", treatment = "A Application; N New Development; T Theoretical or Mathematical", } @Article{Drezner:1978:CBN, author = "Z. Drezner", title = "Computation of the Bivariate Normal Integral", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "277--279", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Faculty of Business, McMaster Univ., Hamilton, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate normal integral; computation; Gauss quadrature method; integration; numerical analysis", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bays:1978:FLP, author = "Carter Bays and Richard H. Hudson", title = "On the Fluctuations of {Littlewood} for Primes of the Form $ 4 n \pm 1 $", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "281--286", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zassenhaus:1978:RHF, author = "Hans Zassenhaus", title = "A Remark on the {Hensel} Factorization Method", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "287--292", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Ohio State Univ., Columbus, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Hensel factorisation method; numerical methods; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Godwin:1978:NCN, author = "H. J. Godwin", title = "A Note on Congruent Numbers", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "293--295", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", note = "See corrigenda \cite{Godwin:1979:CNC}.", acknowledgement = ack-nhfb, classcodes = "A0210 (Algebra, set theory, and graph theory); B0290B (Error analysis in numerical methods); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Statistics and Computer Sci., Royal Holloway Coll., Egham, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "congruent numbers; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1978:DFQ, author = "Wells Johnson", title = "On the $p$-Divisibility of the {Fermat} Quotients", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "297--301", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Bowdoin Coll., Brunswick, ME, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Fermat quotient divisibility; number theory", treatment = "T Theoretical or Mathematical", } @Article{Kishore:1978:OIF, author = "Masao Kishore", title = "Odd integers {$N$} with five distinct prime factors for which {$ 2 - 10^{-12} < \sigma (N) / N < 2 + 10^{-12}$}", journal = j-MATH-COMPUT, volume = "32", number = "141", pages = "303--309", month = jan, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of Toledo, Toledo, OH, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; odd integers; odd primitive abundant numbers; prime factors; table", treatment = "T Theoretical or Mathematical", } @Article{Nevanlinna:1978:CDA, author = "Olavi Nevanlinna", title = "On the convergence of difference approximations to nonlinear contraction semigroups in {Hilbert} spaces", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "321--334", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "contraction semigroups; convergence; difference approximations; evolution equations; group theory; Hilbert spaces; nonlinear", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1978:IEE, author = "Philippe G. Ciarlet", title = "Interpolation error estimates for the reduced {Hsieh--Clough--Tocher} triangle", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "335--344", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (41A25)", MRnumber = "80i:65114", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Analyse Numerique, Univ. Pierre et Marie Curie, Paris, France", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Clough Tocher triangle; error analysis; error estimates; finite element; finite element analysis; interpolation; numerical approximation; plate problems; reduced Hsieh; unisolvence", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1978:QPA, author = "Jim {Douglas, Jr.} and Todd Dupont and Mary F. Wheeler", title = "A Quasi-Projection Analysis of {Galerkin} Methods for Parabolic and Hyperbolic Equations", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "345--362", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; differential equations; error analysis; Galerkin methods; hyperbolic equations; nonlinear; optimal; order error estimates; parabolic; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Harten:1978:ACM, author = "Amiram Harten", title = "The artificial compression method for computation of shocks and contact discontinuities. {III}. Self-adjusting hybrid schemes", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "363--389", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0270 (Computational techniques); A1130 (Symmetry and conservation laws); C4170 (Differential equations)", corpsource = "Courant Inst. of Maths. Sci., New York Univ., New York, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adjusting hybrid schemes; artificial compression method; computation; conservation laws; contact; discontinuities; hyperbolic systems; nonlinear differential equations; self; shocks", treatment = "T Theoretical or Mathematical", } @Article{Galantai:1978:CNM, author = "Aurel Galantai", title = "The comparison of numerical methods for solving polynomial equations", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "391--397", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. for Numerical Math. and Computing, Eotvas Lorand Univ., Budapest, Hungary", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "comparison; Lehmer Schur method; numerical methods; polynomial equations; polynomials; process; Turan", treatment = "T Theoretical or Mathematical", } @Article{Rakotch:1978:IEE, author = "E. Rakotch", title = "Improved error estimates for numerical solutions of symmetric integral equations", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "399--404", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "80a:65272", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. of Math. Technion, Israel Inst. of Technol., Haifa, Israel", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; eigenproblems; eigenvalues and eigenfunctions; equations; error analysis; error estimates; integral; numerical solutions; symmetric integral", treatment = "T Theoretical or Mathematical", } @Article{Watanabe:1978:BIO, author = "Daniel S. Watanabe", title = "Block Implicit One-Step Methods", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "405--414", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block implicit one step methods; convergence of numerical methods; convergence theorem; differential equations; equations; general; Hermite interpolation; ordinary differential; quadrature; stability", treatment = "T Theoretical or Mathematical", } @Article{Christiansen:1978:EAS, author = "J. Christiansen and R. D. Russell", title = "Error analysis for spline collocation methods with application to knot selection", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "415--419", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Simon Fraser Univ., Burnaby, BC, Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); convergence of numerical methods; error analysis; knot selection; mesh selection scheme; spline collocation methods; splines; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Fraser:1978:MVD, author = "W. Fraser and J. M. Bennett", title = "A Method of Virtual Displacements for the Degenerate Discrete $ l_1 $ Approximation Problem", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "421--430", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Statistics, Univ. of Guelph, Guelph, Ont., Canada", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "degenerate discrete $l_1$ approximation problem; efficiency; function approximation; method of virtual displacements; minimum", treatment = "T Theoretical or Mathematical", } @Article{Barrow:1978:MNG, author = "David L. Barrow", title = "On Multiple Node {Gaussian} Quadrature Formulae", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "431--439", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A55 (65D32)", MRnumber = "80j:41045", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integration; multiple node Gaussian quadrature formulae", treatment = "T Theoretical or Mathematical", } @Article{Banegas:1978:FPS, author = "Alexandra Banegas", title = "Fast {Poisson} Solvers for Problems with Sparsity", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "441--446", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. Nacional Autonoma de Honduras, Telgucigalpa, Honduras", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; computer storage; difference equations; execution speed; numerical solution; Poisson's equation; sparsity", treatment = "T Theoretical or Mathematical", } @Article{Lam:1978:CQN, author = "Binh Lam", title = "On the Convergence of a Quasi-{Newton} Method for Sparse Nonlinear Systems", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "447--451", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4150 (Nonlinear and functional equations)", corpsource = "Computer Centre, Australian Nat. Univ., Canberra, ACT, Australia", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; nonlinear equations; Q-superlinearly; quasi Newton method; sparse nonlinear systems", treatment = "T Theoretical or Mathematical", } @Article{Miranker:1978:ME, author = "W. L. Miranker and M. {van Veldhuizen}", title = "The Method of Envelopes", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "453--496", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Sci. Dept., IBM Thomas J. Watson Res. Centre, Yorktown Heights, NY, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equation; differential equations; initial value; initial value problems; method of envelopes; numerical approximations; problem", treatment = "T Theoretical or Mathematical", } @Article{Cash:1978:EOM, author = "J. R. Cash", title = "An extension of {Olver}'s method for the numerical solution of linear recurrence relations", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "497--510", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; Gaussian elimination; linear recurrence; numerical solution; Olver's method; relations; truncation error; unstable error propagation", treatment = "T Theoretical or Mathematical", } @Article{Pexton:1978:RTT, author = "Robert L. Pexton and Arno D. Steiger", title = "Roots of two transcendental equations as functions of a continuous real parameter", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "511--518", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", corpsource = "Lawrence Livermore Lab., Univ. of California, Livermore, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous real parameter; equations; roots; spherical Bessel functions; transcendental equations", treatment = "T Theoretical or Mathematical", } @Article{Zakian:1978:TCF, author = "V. Zakian and M. J. Edwards", title = "Tabulation of constants for full grade {$ I_{MN} $} approximants", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "519--531", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Control Systems Centre, Univ. of Manchester Inst. of Sci. and Technol., Manchester, UK", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "constants; estimates; fraction decompositions; full grade I/sub MN/ approximants; function approximation; partial; precision; tabulate", treatment = "T Theoretical or Mathematical", } @Article{Benton:1978:CZT, author = "T. C. Benton and H. D. Knoble", title = "Common Zeros of Two {Bessel} Functions", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "533--535", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; common zeros; poles and zeros; positive zeros; zeros", treatment = "T Theoretical or Mathematical", } @Article{Vaughan:1978:GSC, author = "Theresa P. Vaughan", title = "A generalization of the simple continued fraction algorithm", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "537--558", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of North Carolina, Greensboro, NC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic; generalisation; geometric; matrices; number theory; properties; simple continued fraction algorithm", treatment = "T Theoretical or Mathematical", } @Article{Eisenbeis:1978:CRP, author = "H. Eisenbeis and G. Frey and B. Ommerborn", title = "Computation of the 2-Rank of Pure Cubic Fields", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "559--569", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", corpsource = "Fachbereich Math., Univ. of Saarlandes, Saarbrucken, West Germany", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2-rank; computes; elliptic curve; group; group theory; pure cubic fields", treatment = "T Theoretical or Mathematical", } @Article{Bays:1978:DFR, author = "Carter Bays and Richard H. Hudson", title = "Details of the first region of integers $x$ with $ \pi_{3, 2}(x) < \pi_{3, 1}(x)$", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "571--576", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math. and Computer Sci., Univ. of South Carolina, Columbia, SC, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "magnitude; number; number theory; positive primes; smallest integer", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1978:TCC, author = "D. H. Lehmer and J. M. Masley", title = "Table of the Cyclotomic Class Numbers $ h^\ast (p) $ and Their Factors for $ 200 < p < 521 $", journal = j-MATH-COMPUT, volume = "32", number = "142", pages = "577--582", month = apr, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "200