%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "3.07", %%% date = "18 October 2007", %%% time = "13:02:21 MDT", %%% filename = "nummath.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", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "50730 69675 286513 2793858", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Numerische Mathematik", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications in the journal Numerische %%% Mathematik (CODEN NUMMA7, ISSN 0029-599X %%% (print), 0945-3245 (electronic)), which begin %%% publishing in 1959. This file covers the %%% years 1959--1999. The companion files %%% nummath20xx.bib cover later decades. %%% %%% There were from three to eight issues per %%% year from 1959 to 1985, and since then, %%% twelve per year. %%% %%% The journal is published by Springer-Verlag. %%% %%% At version 3.07, the year coverage looked %%% like this: %%% %%% 1959 ( 14) 1974 ( 45) 1989 ( 95) %%% 1960 ( 30) 1975 ( 67) 1990 ( 99) %%% 1961 ( 28) 1976 ( 75) 1991 ( 85) %%% 1962 ( 45) 1977 ( 72) 1992 ( 96) %%% 1963 ( 39) 1978 ( 75) 1993 ( 76) %%% 1964 ( 43) 1979 ( 72) 1994 ( 84) %%% 1965 ( 49) 1980 ( 71) 1995 ( 81) %%% 1966 ( 65) 1981 ( 72) 1996 ( 68) %%% 1967 ( 56) 1982 ( 73) 1997 ( 76) %%% 1968 ( 88) 1983 ( 50) 1998 ( 83) %%% 1969 ( 50) 1984 ( 94) 1999 ( 87) %%% 1970 ( 84) 1985 ( 77) 2000 ( 0) %%% 1971 ( 76) 1986 ( 97) 2001 ( 0) %%% 1972 ( 74) 1987 ( 72) 2002 ( 1) %%% 1973 ( 71) 1988 ( 107) %%% %%% Article: 2861 %%% Book: 1 %%% %%% Total entries: 2862 %%% %%% Despite its German title, most of the %%% articles in this journal are in English; only %%% 85 (3%) are in French (including, curiously, %%% one whose title is in English!), and 310 %%% (11%) are in German. English translations %%% are supplied for all of the French and German %%% titles. %%% %%% Cross-references are supplied for all %%% corrigenda and errata, so that citing one %%% will automatically provide citations of the %%% others. %%% %%% The journal has a gopher site at %%% %%% gopher://trick.ntp.springer.de/11/TOC/211/ %%% %%% with tables of contents for 1993--1997, and a %%% World Wide Web site at %%% %%% http://link.springer.de/link/service/journals/00211/tocs.htm %%% %%% with tables of contents and abstracts for %%% 1994--2000, and a home page at %%% %%% http://link.springer.de/journals/nummath/ %%% %%% Currently paid-up journal subscribers can %%% obtain access to the full-text electronic %%% edition of the journal in PDF and %%% compressed PostScript formats. For %%% details, visit the World Wide Web site %%% %%% http://science.springer.de/nmee/nm-main.htm. %%% %%% Beginning with Volume 67 Number 1 (1994), %%% URLs pointing to abstracts are included %%% with each entry. Their names are %%% constructed systematically from the volume, %%% number, initial page, and year, so that %%% they can be, and have been, generated %%% automatically by software. However, the %%% publisher's Web site is about a year behind %%% the journal, so not all of the URLs given %%% below are reachable yet. The abstract pages %%% contain further links to the full text which %%% are accessible to qualified subscribers, as %%% noted above. %%% %%% This journal is unusual in that some volumes %%% span two years, some issues are assigned two %%% consecutive issue numbers, and no months were %%% clearly associated with issue numbers until %%% volume 35, number 1, in 1980. [Actually, %%% there WAS a tiny day/month stamp at the %%% bottom of the covers for volumes 14--34, but %%% this bibliography does not yet incorporate %%% that information.] Citations in the journal %%% to papers in the journal normally just give %%% volume, pages, and year data. Volumes 1--13 %%% (1959--1969) had no assigned issue numbers at %%% all, just a volume number. %%% %%% And now for a historical note: Twenty-four of %%% these articles were pre-publications in %%% Numerische Mathematik during the years %%% 1965--1970 of all but five of the chapters of %%% the famous book edited by Wilkinson and %%% Reinsch in 1971, the ``Handbook of Automatic %%% Computation, Volume II, Linear Algebra'', %%% often known as HACLA, or just ``the yellow %%% book''. %%% %%% This may have been the first serious attempt %%% to publish high-quality working numerical %%% software. Although the publication language %%% chosen was Algol 60, the algorithms, %%% sometimes with improvements, were later %%% incorporated as Fortran subroutines in the %%% even-more famous EISPACK (1976) and LINPACK %%% (1979) libraries, and those in turn were %%% merged into the highly-developed LAPACK %%% system, which is available in Fortran and C, %%% and later, the LAPACK++ system in C++. %%% %%% Cross-references to the HACLA book are %%% provided for all those twenty-four articles %%% in the bibliography below. %%% %%% The great success of this software %%% publication certainly provided evidence of %%% the value of such work, and in 1975, the %%% journal ACM Transactions on Mathematical %%% Software was formed to carry on the tradition %%% of HACLA, and the ACM Algorithm collection. A %%% total of 792 high-quality algorithms have %%% been published this way by Spring 1999. %%% %%% The initial draft of entries for 1990--1996 %%% was derived from the OCLC Contents1st %%% database. Additions were then made from all %%% of the bibliographies in the TeX User Group %%% collection, from bibliographies in the %%% author's personal files, from the Compendex %%% databases (1980--1999), from the IEEE INSPEC %%% database (1970--1997), from the MathSciNet %%% database, from the European Mathematical %%% Society (Zentrallblat fuer Mathematik) %%% database, and from the computer science %%% bibliography collection at %%% ftp://ftp.ira.uka.de/pub/bibliography to %%% which many people have contributed. %%% %%% 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 within each journal, %%% using bibsort -bypages. %%% %%% 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.", %%% } %%% ==================================================================== % Provide a fallback of Polish ogonok accent to cedilla, and another % macro, if necessary @Preamble{ "\ifx \k \undefined \let \k = \c \fi" } %%%===================================================================== %%% Acknowledgement abbreviations: @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, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} @String{ack-sf = "Stefano Foresti, Utah Supercomputing Institute, University of Utah, Salt Lake City, UT 84112, USA, Tel: +1 801 581 3173, FAX: +1 801 585 5366, e-mail: \path|stefano@osiris.usi.utah.edu|"} %%%===================================================================== %%% Journal abbreviations: @String{j-NUM-MATH = "Numerische Mathematik"} %%%===================================================================== %%% Publishers and their addresses: @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} %%%===================================================================== %%% Bibliography entries. @Article{Stiefel:1959:DLT, author = "E. Stiefel", title = "{{\"U}ber diskrete und lineare Tschebyscheff-Approximationen}. ({German}) [{On} Discrete and Linear {Chebyshev} Approximations]", journal = j-NUM-MATH, volume = "1", pages = "1--28", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Householder:1959:CME, author = "Alston S. Householder and Friedrich L. Bauer", title = "On Certain Methods for Expanding the Characteristic Polynomial", journal = j-NUM-MATH, volume = "1", pages = "29--37", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:40:54 1999", bibsource = "Theory/Matrix.bib", keywords = "characteristic polynomial; eig; nla", } @Article{Weisfeld:1959:OPS, author = "M. Weisfeld", title = "Orthogonal polynomials in several variables", journal = j-NUM-MATH, volume = "1", pages = "38--40", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Perlis:1959:RAL, author = "A. J. Perlis and K. Samelson", title = "Report on the algorithmic language {ALGOL} by the {ACM} committee on programming languages and the {GAMM} committee on programming", journal = j-NUM-MATH, volume = "1", pages = "41--60", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Collatz:1959:ELR, author = "Lothar Collatz and J. Schroeder", title = "{Einschlie{\ss}en der L{\"o}sungen von Randwertaufgaben}. ({German}) [{Bracketing} Solutions to Boundary Value Problems]", journal = j-NUM-MATH, volume = "1", pages = "61--72", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Dueck:1959:FEL, author = "W. Dueck", title = "{Eine Fehlerabsch{\"a}tzung zum Einzelschrittverfahren bei linearen Gleichungssystemen}. ({German}) [{An} Error Bound for the Independent Step Method in Linear Equation Systems]", journal = j-NUM-MATH, volume = "1", pages = "73--77", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Kreyszig:1959:RUE, author = "Erwin Kreyszig and John Todd", title = "The radius of univalence of the error function", journal = j-NUM-MATH, volume = "1", pages = "78--89", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Comet:1959:UAB, author = "Stig Comet", title = "{{\"U}ber die Anwendung von Bin{\"a}rmodellen in der Theorie der Charaktere der symmetrischen Gruppen}. ({German}) [{On} the use of the Binary Model in the Theory of Characters of Symmetric Groups]", journal = j-NUM-MATH, volume = "1", pages = "90--109", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Walther:1959:NBG, author = "A. Walther and H. Schappert", title = "{Numerische Behandlung des Gelenkvierecks}. ({German}) [{Numerical} Treatment of General Quadrilaterals]", journal = j-NUM-MATH, volume = "1", pages = "110--120", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Cohn:1959:NSR, author = "Harvey Cohn", title = "Numerical study of the representation of a totally positive quadratic integer as the sum of quadratic integral squares", journal = j-NUM-MATH, volume = "1", pages = "121--134", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bertram:1959:VFR, author = "G. Bertram", title = "{Versch{\"a}rfung einer Fehlerabsch{\"a}tzung zum Ritz-Galerkinschen Verfahren von Kryloff f{\"u}r Randwertaufgaben}. ({German}) [{Tightening} of an Error Bound for the {Ritz-Galerkin} Method for {Krylov} Boundary Value Problems]", journal = j-NUM-MATH, volume = "1", pages = "135--141", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", note = "See correction \cite{Bertram:1960:BMA}.", acknowledgement = ack-nhfb, language = "German", } @Article{Wynn:1959:PEC, author = "P. Wynn", title = "On the propagation of error in certain non-linear algorithms", journal = j-NUM-MATH, volume = "1", pages = "142--149", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilkinson:1959:EZIa, author = "J. H. Wilkinson", title = "The evaluation of the zeros of ill-conditioned polynomials. {I}", journal = j-NUM-MATH, volume = "1", pages = "150--166", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilkinson:1959:EZIb, author = "J. H. Wilkinson", title = "The evaluation of the zeros of ill-conditioned polynomials. {II}", journal = j-NUM-MATH, volume = "1", pages = "167--180", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stiefel:1960:NJE, author = "E. Stiefel", title = "Note on {Jordan} elimination, linear programming and {Tchebyscheff} approximation", journal = j-NUM-MATH, volume = "2", pages = "1--17", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wetterling:1960:EKB, author = "W. Wetterling", title = "{Zum Einschlie{\ss}ungssatz von Kryloff-Bogoliubov f{\"u}r allgemeine Eigenwertaufgaben bei gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{An} enclosure theorem of {Kryloff-Bogoliubov} for ordinary eigenvalue problems in ordinary differential equations]", journal = j-NUM-MATH, volume = "2", pages = "18--21", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:37:37 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Kato:1960:EIM, author = "Tosio Kato", title = "Estimation of Iterated Matrices, with Application to the {von Neumann} Condition", journal = j-NUM-MATH, volume = "2", pages = "22--29", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Hull:1960:NME, author = "T. E. Hull and W. A. J. Luxemburg", title = "Numerical methods and existence theorems for ordinary differential equations", journal = j-NUM-MATH, volume = "2", pages = "30--41", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1960:MCR, author = "F. L. Bauer and A. S. Householder", title = "Moments and Characteristic Roots", journal = j-NUM-MATH, volume = "2", pages = "42--53", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", keywords = "eig; la; pert", } @Article{Bertram:1960:BMA, author = "G. Bertram", title = "{Berichtigung zu meinen Arbeit ,,Versch{\"a}rfung einer Fehlerabsch{\"a}tzung \ldots{} [Num. Math. {\bf 1}, 135--141 (1959)]}. ({German}) [{Correction} to my Paper ``{Tightening} of an Error Bound \ldots{}'']", journal = j-NUM-MATH, volume = "2", pages = "54--54", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", note = "See \cite{Bertram:1959:VFR}.", acknowledgement = ack-nhfb, language = "German", } @Article{Householder:1960:CIM, author = "A. S. Householder and F. L. Bauer", title = "On Certain Iterative Methods for Solving Linear Systems", journal = j-NUM-MATH, volume = "2", pages = "55--59", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", keywords = "iter; linear system; nla", } @Article{Lehmann:1960:FRV, author = "N. J. Lehmann", title = "{Eine Fehlerabsch{\"a}tzung zum Ritzschen Verfahren f{\"u}r inhomogene Randwertaufgaben}. ({German}) [{An} Error Bound for the {Ritz} Method for Inhomogeneous Boundary Value Problems]", journal = j-NUM-MATH, volume = "2", pages = "60--66", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Causey:1960:CAE, author = "Robert L. Causey and Peter Henrici", title = "Convergence of approximate eigenvectors in {Jacobi} methods", journal = j-NUM-MATH, volume = "2", pages = "67--78", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Borsch-Supan:1960:BFB, author = "W. B{\"o}rsch-Supan", title = "{Bemerkungen zur Fehlerabsch{\"a}tzung beim Ritz-Galerkin-Verfahren nach Krylow}. ({German}) [{Remark} on the Error Bounds of the {Ritz-Galerkin} Method of {Krylov}]", journal = j-NUM-MATH, volume = "2", pages = "79--83", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Halton:1960:ECQ, author = "J. H. Halton", title = "On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals", journal = j-NUM-MATH, volume = "2", pages = "84--90", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", note = "See correction \cite{Halton:1960:BEC}.", acknowledgement = ack-nhfb, } @Article{Douglas:1960:NMS, author = "Jim Douglas", title = "A numerical method for the solution of a parabolic system", journal = j-NUM-MATH, volume = "2", pages = "91--98", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Veidinger:1960:NDB, author = "L. Veidinger", title = "On the numerical determination of the best approximations in the {Chebyshev} sense", journal = j-NUM-MATH, volume = "2", pages = "99--105", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Naur:1960:RAL, author = "Peter Naur and J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. MacCarthy and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", title = "Report on the algorithmic language {Algol 60}", journal = j-NUM-MATH, volume = "2", pages = "106--136", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1960:NET, author = "F. L. Bauer and C. T. Fike", title = "Norms and Exclusion Theorems", journal = j-NUM-MATH, volume = "2", pages = "137--141", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", keywords = "eig; la; norm; pert", } @Article{Machly:1960:TAKa, author = "H. Machly and C. Witzgall", title = "{Tschebyscheff-Approximationen in kleinen Intervallen. I}. ({German}) [{Chebyshev} Approximations in Small Intervals. {I}]", journal = j-NUM-MATH, volume = "2", pages = "142--150", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Wynn:1960:UIA, author = "Peter Wynn", title = "{{\"U}ber einen Interpolations-Algorithmus und gewisse andere Formeln, die in der Theorie der Interpolation durch rationale Funktionen bestehen}. ({German}) [{On} interpolation algorithms and certain other formulas existing in the interpolations theory by rational functions]", journal = j-NUM-MATH, volume = "2", pages = "151--182", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Brakhage:1960:UNB, author = "H. Brakhage", title = "{{\"U}ber die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode}. ({German}) [{On} the Numerical Treatment of Integral Equations for the Quadrature Formula Method]", journal = j-NUM-MATH, volume = "2", pages = "183--196", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Halton:1960:BEC, author = "J. H. Halton", title = "{Berichtigung: ``On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals'' [Num. Math. {\bf 2}, 84--90 (1960)]}. ({German}) [{Correction}]", journal = j-NUM-MATH, volume = "2", pages = "196--196", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", note = "See \cite{Halton:1960:ECQ}.", acknowledgement = ack-nhfb, language = "German, English", } @Article{Clenshaw:1960:MNI, author = "C. W. Clenshaw and A. R. Curtis", title = "A method for numerical integration on an automatic computer", journal = j-NUM-MATH, volume = "2", pages = "197--205", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Esseen:1960:UAB, author = "C. G. Esseen", title = "{{\"U}ber die asymptotisch beste Approximation stetiger Funktionen mit Hilfe von Bernstein-Polynomen}. ({German}) [{On} the Asymptotically Best Approximation of Continuous Functions with the Aid of {Berstein} Polynomials]", journal = j-NUM-MATH, volume = "2", pages = "206--213", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Salzer:1960:OPN, author = "Herbert E. Salzer", title = "Optimal points for numerical differentiation", journal = j-NUM-MATH, volume = "2", pages = "214--227", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Magnus:1960:ZHF, author = "Wilhelm Magnus and Leon Kotin", title = "The zeros of the {Hankel} function as a function of its order", journal = j-NUM-MATH, volume = "2", pages = "228--244", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Albrecht:1960:ASP, author = "Rudolf F. Albrecht", title = "Approximation to the solution of partial differential-equations by the solution of ordinary differential-equations", journal = j-NUM-MATH, volume = "2", pages = "245--262", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rutishauser:1960:BNI, author = "Heinz Rutishauser", title = "{Bemerkungen zur numerischen Integration gew{\"o}hnlicher Differentialgleichungen $n$-ter Ordnung}. ({German}) [{Remark} on the Numerical Integration of $n$-th Order Ordinary Differential Equations]", journal = j-NUM-MATH, volume = "2", pages = "263--279", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Neubuser:1960:UUE, author = "J. Neub{\"u}ser", title = "{Untersuchungen des Untergruppenverbandes endlicher Gruppen auf einer programmgesteuerten elektronischen Dualmaschine}. ({German}) [{Investigation} of Subroup Units of Finite Groups with a Programmable Electronic Dual Machine]", journal = j-NUM-MATH, volume = "2", pages = "280--292", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Machly:1960:TAKb, author = "H. Machly and C. Witzgall", title = "{Tschebyscheff-Approximationen in kleinen Intervallen. {II}: Stetigkeitss{\"a}tze f{\"u}r gebrochen rationale Approximationen}. ({German}) [{Chebyshev} Approximations in Small Intervals. {II}. Stability Conditions for Broken Rational Approximations]", journal = j-NUM-MATH, volume = "2", pages = "293--307", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bauer:1960:SII, author = "F. L. Bauer and A. S. Householder", title = "Some inequalities involving the {Euclidean} condition of a matrix", journal = j-NUM-MATH, volume = "2", pages = "308--311", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Dijkstra:1960:RP, author = "E. W. Dijkstra", title = "Recursive programming", journal = j-NUM-MATH, volume = "2", pages = "312--318", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilkinson:1960:EAF, author = "J. H. Wilkinson", title = "Error Analysis of Floating-Point Computation", journal = j-NUM-MATH, volume = "2", pages = "319--340", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Lehmann:1961:INR, author = "N. J. Lehmann", title = "{Das inhomogene nat{\"u}rliche Randwertproblem und Fehlerabsch{\"a}tzungen f{\"u}r N{\"a}herungsl{\"o}sungen}. ({German}) [{The} Inhomogeneous Natural Boundary Value Problem and Error Bounds for Approximate Solution]", journal = j-NUM-MATH, volume = "3", pages = "1--29", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Schaefke:1961:VBC, author = "Friedrich Wilhelm Schaefke", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. I}. ({German}) [{A} Method for Calculation of Characteristic Exponents of the {Mathiew} Differential Equation. {I}]", journal = j-NUM-MATH, volume = "3", pages = "30--38", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Schroder:1961:FRG, author = "Johann Schr{\"o}der", title = "{Fehlerabsch{\"a}tzung mit Rechenanlagen bei gew{\"o}nlichen Differentialgleichungen erster Ordnung}. ({German}) [{Computational} error bounds for first-order ordinary differential equations]", journal = j-NUM-MATH, volume = "3", pages = "39--61", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:44:54 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Schonhage:1961:FIG, author = "A. Sch{\"o}nhage", title = "{Fehlerfortpflanzung bei Interpolation}. ({German}) [{Error} Transmission in Interpolation]", journal = j-NUM-MATH, volume = "3", pages = "62--71", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Cheney:1961:TNA, author = "E. W. Cheney and H. L. Loeb", title = "Two new algorithms for rational approximation", journal = j-NUM-MATH, volume = "3", pages = "72--75", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Luke:1961:RUF, author = "Yudell L. Luke", title = "The radius of univalence of the function exp $z^2 \int_0^z$ exp $(-t^2) dt$", journal = j-NUM-MATH, volume = "3", pages = "76--78", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Karst:1961:FMZ, author = "E. Karst", title = "{Faktorenzerlegung Mersennescher Zahlen mittels programmgesteuerter Rechenger{\"a}te}. ({German}) [{Factorization} of {Mersenne} Numbers with Programmable Computers]", journal = j-NUM-MATH, volume = "3", pages = "79--86", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Kjellberg:1961:SRM, author = "G{\"o}ran Kjellberg", title = "On the successive over-relaxation method for cyclic operators", journal = j-NUM-MATH, volume = "3", pages = "87--91", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Douglas:1961:ADI, author = "J. {Douglas, Jr.}", title = "Alternating direction iteration for mildly nonlinear elliptic difference equations", journal = j-NUM-MATH, volume = "3", pages = "92--98", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", note = "See correction \cite{Douglas:1962:CMP}.", acknowledgement = ack-nhfb, } @Article{Collatz:1961:MEB, author = "Lothar Collatz", title = "{Monotonie und Extremalprinzipien beim Newtonschen Verfahren}. ({German}) [{Monotonicty} and Extremal Principles of {Newton} Methods]", journal = j-NUM-MATH, volume = "3", pages = "99--106", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Sikkema:1961:WEK, author = "P. C. Sikkema", title = "{Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen.}. ({German}) [{The} Value of Some Constants in the Approximation Theory for {Bernstein} Polynomials]", journal = j-NUM-MATH, volume = "3", pages = "107--116", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bauer:1961:FGK, author = "F. L. Bauer", title = "A further generalization of the {Kantorovic} inequality", journal = j-NUM-MATH, volume = "3", pages = "117--119", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", acknowledgement = ack-nhfb, } @Article{Salzer:1961:SEB, author = "Herbert E. Salzer", title = "Some extensions of {Bairstow}'s method", journal = j-NUM-MATH, volume = "3", pages = "120--124", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schroder:1961:VFG, author = "Johann Schr{\"o}der", title = "{Verbesserung einer Fehlerabsch{\"a}tzung f{\"u}r gew{\"o}hnliche Differentialgleichungen erster Ordnung}. ({German}) [{Improvement} of error bounds for first-order ordinary differential equations]", journal = j-NUM-MATH, volume = "3", pages = "125--130", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:45:02 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Albrecht:1961:DNL, author = "Rudolf Albrecht and Wolfram Ulrich", title = "{Ein Differenzenverfahren zur n{\"a}herungsweisen L{\"o}sung des Anfangswertproblems f{\"u}r Systeme halblinearer partieller Differentialgleichungen. 1. Ordnung}. ({German}) [{A} Difference Equation for Approximate Solution of Initial Value Problems for Half-Linear Partial Differential Equations. 1. {Order}]", journal = j-NUM-MATH, volume = "3", pages = "131--146", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Golub:1961:CSIa, author = "Gene H. Golub and Richard S. Varga", title = "{Chebyshev} Semi-Iterative Methods, Successive Overrelaxation Iterative Methods, and Second Order {Richardson} Iterative Methods. {I}", journal = j-NUM-MATH, volume = "3", pages = "147--156", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.35", MRnumber = "26\#3207", MRreviewer = "J. R. Cannon", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, keywords = "iter; nla; relaxation; Richardson's method; semi-iterative method", } @Article{Golub:1961:CSIb, author = "Gene H. Golub and Richard S. Varga", title = "{Chebyshev} Semi-Iterative Methods, Successive Overrelaxation Iterative Methods, and Second Order {Richardson} Iterative Methods. {II}", journal = j-NUM-MATH, volume = "3", pages = "157--168", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.35", MRnumber = "26\#3208", MRreviewer = "J. R. Cannon", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, keywords = "iter; nla; relaxation; Richardson's method; semi-iterative method", } @Article{Hsu:1961:NNI, author = "L. C. Hsu", title = "Note on the numerical integration of periodic functions and of partially periodic functions", journal = j-NUM-MATH, volume = "3", pages = "169--173", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Brakhage:1961:FNE, author = "H. Brakhage", title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r die numerische Eigenwertbestimmung bei Integralgleichungen}. ({German}) [{Toward} Error Bounds for Numerical Eigenvalue Determination in Integral Equations]", journal = j-NUM-MATH, volume = "3", pages = "174--179", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Descloux:1961:DAT, author = "J. Descloux", title = "{D}{\'e}g{\'e}n{\'e}rescence dans les approximations de {Tschebyscheff} lin{\'e}aires et discr{\`e}tes. ({French}) [{Degeneration} in Linear and Discrete {Chebyshev} Approximations]", journal = j-NUM-MATH, volume = "3", pages = "180--187", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Albrecht:1961:FRN, author = "J. Albrecht", title = "{Fehlerabsch{\"a}tzungen bei Relaxationsverfahren zur numerischen Aufl{\"o}sung linearer Gleichungssysteme}. ({German}) [{Error} Bounds for the Relaxation Method for Numerical Solution of Linear Equation Systems]", journal = j-NUM-MATH, volume = "3", pages = "188--201", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Blum:1961:SPE, author = "M. Blum", title = "A stagewise parameter estimation procedure for correlated data", journal = j-NUM-MATH, volume = "3", pages = "202--208", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bergman:1961:AMK, author = "Stefan Bergman and John G. Herriot", title = "Application of the method of the kernel function for solving boundary- value problems", journal = j-NUM-MATH, volume = "3", pages = "209--225", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lauchli:1961:JEA, author = "Peter L{\"a}uchli", title = "{Jordan-Elimination und Ausgleichung nach kleinsten Quadraten}. ({German}) [{Jordan} elimination and balancing using least squares]", journal = j-NUM-MATH, volume = "3", pages = "226--240", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 13 07:28:41 1997", language = "German", } @Article{Bauer:1961:ANC, author = "F. L. Bauer and A. S. Householder", title = "Absolute norms and characteristic roots", journal = j-NUM-MATH, volume = "3", pages = "241--246", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Fisser:1961:STA, author = "H. Fisser", title = "Some tests applied to pseudo-random numbers generated by {v. H{\"o}rner}'s rule", journal = j-NUM-MATH, volume = "3", pages = "247--249", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Felsch:1961:PRG, author = "H. Felsch", title = "{Programmierung der Restklassenabz{\"a}hlung einer Gruppe nach Untergruppen}. ({German}) [{Programming} of Residue Classes of a Group via its Subgroups]", journal = j-NUM-MATH, volume = "3", pages = "250--256", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bauer:1961:AMN, author = "F. L. Bauer and J. Stoer and C. Witzgall", title = "Absolute and Monotonic Norms", journal = j-NUM-MATH, volume = "3", pages = "257--264", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Schaefke:1962:VBC, author = "F. W. Schaefke and R. Ebert and H. Groh", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. II}. ({German}) [{A} Method for Calculation of Characteristic Exponents of the {Mathiew} Differential Equation. {II}]", journal = j-NUM-MATH, volume = "4", pages = "1--7", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Wynn:1962:CTN, author = "P. Wynn", title = "A comparison technique for the numerical transformation of slowly convergent series based on the use of rational functions", journal = j-NUM-MATH, volume = "4", pages = "8--14", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schneider:1962:CTS, author = "Hans Schneider and W. Gilbert Strang", title = "Comparison Theorems for Supremum Norms", journal = j-NUM-MATH, volume = "4", pages = "15--20", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Treuenfels:1962:SLR, author = "P. Treuenfels", title = "{Schranken f{\"u}r L{\"o}sungen von Randwertaufgaben}. ({German}) [{Bounds} for Solution of Boundary Value Problems]", journal = j-NUM-MATH, volume = "4", pages = "21--23", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Henrici:1962:BII, author = "Peter Henrici", title = "Bounds for Iterates, Inverses, Spectral Variation and Fields of Values of Non-Normal Matrices", journal = j-NUM-MATH, volume = "4", pages = "24--39", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", keywords = "eig; field of values; inverse matrix; la; nonnormal matrix; pert", } @Article{Douglas:1962:ADM, author = "Jim {Douglas, Jr.}", title = "Alternating direction methods for three space variables", journal = j-NUM-MATH, volume = "4", pages = "41--63", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schafke:1962:BEM, author = "F. W. Sch{\"a}fke and H. Groh", title = "{Zur Berechnung der Eigenwerte der Mathieuschen Differentialgleichung}. ({German}) [{Toward} Computation of Eigenvalues of the {Mathieu} Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "64--67", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Richtmyer:1962:CFE, author = "R. D. Richtmyer and Marjorie Devaney and N. Metropolis", title = "Continued fraction expansions of algebraic numbers", journal = j-NUM-MATH, volume = "4", pages = "68--84", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Frank:1962:CFEa, author = "E. Frank", title = "On continued fraction expansions for binomial quadratic surds", journal = j-NUM-MATH, volume = "4", pages = "85--95", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Douglas:1962:NMI, author = "J. {Douglas, Jr.} and B. F. {Jones, Jr.}", title = "Numerical methods for integrodifferential equations of parabolic and hyperbolic types", journal = j-NUM-MATH, volume = "4", pages = "96--102", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1962:FVS, author = "F. L. Bauer", title = "On the field of values subordinate to a norm", journal = j-NUM-MATH, volume = "4", pages = "103--113", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stone:1962:BPR, author = "Betty Jane Stone", title = "Best Possible Ratios of Certain Matrix Norms", journal = j-NUM-MATH, volume = "4", pages = "114--116", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 19 15:23:15 GMT 1995", } @Article{Gautschi:1962:IVC, author = "Walter Gautschi", title = "On Inverses of {Vandermonde} and Confluent {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "4", pages = "117--123", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Cheney:1962:RCA, author = "E. W. Cheney and H. L. Loeb", title = "On rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "4", pages = "124--127", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Harary:1962:GTA, author = "Frank Harary", title = "A graph theoretic approach to matrix inversion by partitioning", journal = j-NUM-MATH, volume = "4", pages = "128--135", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Morimoto:1962:SWE, author = "Hirofumi Morimoto", title = "Stability in the wave equation coupled with heat flow", journal = j-NUM-MATH, volume = "4", pages = "136--145", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Goldstein:1962:CMM, author = "A. A. Goldstein", title = "{Cauchy}'s method of minimization", journal = j-NUM-MATH, volume = "4", pages = "146--150", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lindenberg:1962:UDG, author = "Wolfgang Lindenberg", title = "{{\"U}ber eine Darstellung von Gruppenelementen in digitalen Rechenautomaten}. ({German}) [{On} a representation of group elements in computers]", journal = j-NUM-MATH, volume = "4", pages = "151--153", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Werner:1962:SDT, author = "Helmut Werner", title = "{Ein Satz {\"u}ber diskete Tschebyscheff-Approximation bei gebrochen linearer Funktionen}. ({German}) [{A} proposition on the discrete {Chebyshev} approximation of broken linear functions]", journal = j-NUM-MATH, volume = "4", pages = "154--157", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:45:51 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Stoer:1962:TDM, author = "J. Stoer and C. Witzgall", title = "Transformations by Diagonal Matrices in a Normed Space", journal = j-NUM-MATH, volume = "4", pages = "158--171", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Parallel/par.lin.alg.bib", } @Article{Pearcy:1962:CAD, author = "C. Pearcy", title = "On convergence of alternating direction procedures", journal = j-NUM-MATH, volume = "4", pages = "172--176", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Buck:1962:SA, author = "R. C. Buck", title = "Stochastic ascent", journal = j-NUM-MATH, volume = "4", pages = "177--186", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Greenstadt:1962:SNE, author = "J. Greenstadt", title = "Some numerical experiments in triangularizing matrices", journal = j-NUM-MATH, volume = "4", pages = "187--195", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Albrecht:1962:FKM, author = "J. Albrecht", title = "{Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge}. ({German}) [{Error} Bounds and Convergence Acceleration with a Monotone or Alternating Iteration Sequence]", journal = j-NUM-MATH, volume = "4", pages = "196--208", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Chow:1962:SLE, author = "T. S. Chow and H. W. Milnes", title = "Solution of {Laplace}'s equation by boundary contraction over regions of irregular shape", journal = j-NUM-MATH, volume = "4", pages = "209--225", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Uhlmann:1962:UFD, author = "W. Uhlmann", title = "{{\"U}ber den Fehler bei Differenzenverfahren f{\"u}r die Poissonsche Differentialgleichung}. ({German}) [{On} the Bound of Difference Method for {Poisson} Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "226--237", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Benders:1962:PPS, author = "J. F. Benders", title = "Partitioning procedures for solving mixed-variables programming problems", journal = j-NUM-MATH, volume = "4", pages = "238--252", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Albrecht:1962:NTI, author = "R. F. Albrecht and W. Urich", title = "Numerical treatment of the initial value problem for systems of quasilinear partial differential equations of first order", journal = j-NUM-MATH, volume = "4", pages = "253--261", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nitsche:1962:ATA, author = "Johannes C. C. Nitsche", title = "{{\"U}ber die Abh{\"a}ngigkeit der Tschebyscheffschen Approximierenden einer differenzierbaren Funktion vom Intervall}. ({German}) [{On} the relation of {Chebyshev} approximations for a differentiable interval function]", journal = j-NUM-MATH, volume = "4", pages = "262--276", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:46:19 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Parter:1962:SCP, author = "Seymour V. Parter", title = "Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem", journal = j-NUM-MATH, volume = "4", pages = "277--292", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Parter:1962:ONS, author = "Seymour V. Parter", title = "An observation on the numerical solution of difference equations and a theorem of {Szeg{\"o}}", journal = j-NUM-MATH, volume = "4", pages = "293--295", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilkinson:1962:NQC, author = "J. H. Wilkinson", title = "Note on the quadratic convergence of the cyclic {Jacobi} process", journal = j-NUM-MATH, volume = "4", pages = "296--300", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Douglas:1962:CMP, author = "Jim {Douglas, Jr.}", title = "A correction to my paper {``Alternating direction iteration for mildly nonlinear elliptic difference equations''}", journal = j-NUM-MATH, volume = "4", pages = "301--302", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", note = "See \cite{Douglas:1961:ADI}.", acknowledgement = ack-nhfb, } @Article{Frank:1962:CFEb, author = "Evelyn Frank", title = "On continued fraction expansion for binomial quadratic surds. {II}", journal = j-NUM-MATH, volume = "4", pages = "303--309", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schafke:1962:BES, author = "Friedrich Wilhelm Sch{\"a}fke and Helmut Groh", title = "{Zur Berechnung der Eigenwerte der Sph{\"a}roiddifferentialgleichung}. ({German}) [{On} the Calculation of the Eigenvalues of the Spheroidal Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "310--312", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bramble:1962:FFD, author = "J. H. Bramble and B. E. Hubbard", title = "On the formulation of finite difference analogues of the {Dirichlet} problem for {Poisson}'s equation", journal = j-NUM-MATH, volume = "4", pages = "313--327", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilson:1962:MSS, author = "Walter L. {Wilson, Jr.}", title = "$d$-minimal surfaces spanning polygons in {$E_n$} by solving a linear system", journal = j-NUM-MATH, volume = "4", pages = "328--329", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hsu:1962:NIN, author = "L. C. Hsu", title = "On the numerical integration of non-periodic functions of several variables", journal = j-NUM-MATH, volume = "4", pages = "330--335", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Brenner:1962:PSI, author = "C. Brenner and J. L. Brenner", title = "The popularity of small integers as primitive roots", journal = j-NUM-MATH, volume = "4", pages = "336--342", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Davis:1962:NSP, author = "Chandler Davis", title = "The norm of the {Schur} product operation", journal = j-NUM-MATH, volume = "4", pages = "343--344", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rivlin:1962:PBU, author = "T. J. Rivlin", title = "Polynomials of best uniform approximation to certain rational functions", journal = j-NUM-MATH, volume = "4", pages = "345--349", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Marcus:1962:ICC, author = "Marvin Marcus", title = "An inequality connecting the {$P$}-condition number and the determinant", journal = j-NUM-MATH, volume = "4", pages = "350--353", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilkinson:1962:HMS, author = "J. H. Wilkinson", title = "{Householder}'s method for symmetric matrices", journal = j-NUM-MATH, volume = "4", pages = "354--361", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, } @Article{Wilkinson:1962:CESa, author = "J. H. Wilkinson", title = "Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection", journal = j-NUM-MATH, volume = "4", pages = "362--367", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, } @Article{Wilkinson:1962:CESb, author = "J. H. Wilkinson", title = "Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration", journal = j-NUM-MATH, volume = "4", pages = "368--376", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, } @Article{Zurmuhl:1963:BVH, author = "R. Zurm{\"u}hl", title = "{Bemerkungen zum Verfahren von Hessenberg}. ({German}) [{Remark} on a Method of {Hessenberg}]", journal = j-NUM-MATH, volume = "4", pages = "377--380", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Salzer:1963:EWF, author = "H. E. Salzer", title = "Equally-weighted formulas for numerical differentiation", journal = j-NUM-MATH, volume = "4", pages = "381--392", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wohlfahrt:1963:UBP, author = "Klaus Wohlfahrt", title = "{{\"U}ber die Berechnung der Periodenverh{\"a}ltnisse elliptischer Gebilde}. ({German}) [{On} the Calculation of the Relationship of the Periods of Elliptic Structures]", journal = j-NUM-MATH, volume = "4", pages = "393--397", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Nagler:1963:PST, author = "H. Nagler", title = "On a property of simplex tableaux in the transportation problem", journal = j-NUM-MATH, volume = "4", pages = "398--402", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Clenshaw:1963:HSS, author = "C. W. Clenshaw and G. F. Miller and M. Woodger", title = "Algorithms for special functions. {I}", journal = j-NUM-MATH, volume = "4", pages = "403--419", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, } @Article{Naur:1963:RRA, author = "P. Naur and J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. McCarthy and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", title = "Revised report on the algorithmic language {ALGOL} 60", journal = j-NUM-MATH, volume = "4", pages = "420--453", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Neubauer:1963:EUM, author = "G. Neubauer", title = "{Eine empirische Untersuchung zur Mertensschen Funktion}. ({German}) [{An} Empirical Investigation of the {Merten} Function]", journal = j-NUM-MATH, volume = "5", pages = "1--13", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Meinardus:1963:UVU, author = "G. Meinardus", title = "{{\"U}ber eine Verallgemeinerung einer Ungleichung von L. V. Kantorowitsch}. ({German}) [{On} a Generalization of an Inequation of {L. V. Kantorowitsch}]", journal = j-NUM-MATH, volume = "5", pages = "14--23", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Kreiss:1963:UID, author = "H-O. Kreiss", title = "{{\"U}ber implizite Differenzmethoden f{\"u}r partielle Differentialgleichungen}. ({German}) [{On} Implicit Difference Methods for Partial Differential Equations]", journal = j-NUM-MATH, volume = "5", pages = "24--47", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Rutishauser:1963:ARP, author = "H. Rutishauser", title = "{Ausdehnung des Rombergschen Prinzips}. ({German}) [{Extension} of the {Romberg} Principle]", journal = j-NUM-MATH, volume = "5", pages = "48--54", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Sauer:1963:DHA, author = "R. Sauer", title = "{Differenzenverfahren f{\"u}r hyperbolische Anfangswertprobleme bei mehr als zwei unabh{\"a}ngigen Ver{\"a}nderlichen mit Hilfe von Nebencharakteristiken}. ({German}) [{Difference} Method for Hyperbolic Initial Value Problems in More than Two Independent Variables with the Aid of Secondary Characteristics]", journal = j-NUM-MATH, volume = "5", pages = "55--67", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Aumann:1963:UVL, author = "Georg Aumann", title = "{{\"U}ber den Vergleichsfaktor bei linearen Approximationsproblemen}. ({German}) [{On} the Comparison Factor for Linear Approximation Problems]", journal = j-NUM-MATH, volume = "5", pages = "68--72", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bauer:1963:OSM, author = "F. L. Bauer", title = "Optimally Scaled Matrices", journal = j-NUM-MATH, volume = "5", pages = "73--87", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Parallel/par.lin.alg.bib", } @Article{Struble:1963:OPV, author = "G. W. Struble", title = "Orthogonal polynomials: Variable-signed weight functions", journal = j-NUM-MATH, volume = "5", pages = "88--94", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rutishauser:1963:SSQ, author = "H. Rutishauser", title = "{Stabile Sonderf{\"a}lle des Quotienten-Differenzen-Algorithmus}. ({German}) [{Stable} Special Cases of the Quotient-Difference Algorithm]", journal = j-NUM-MATH, volume = "5", pages = "95--112", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Frank:1963:CEB, author = "E. Frank", title = "On continued expansions for binomial quadratic surds. {III}", journal = j-NUM-MATH, volume = "5", pages = "113--117", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Aronson:1963:SCF, author = "D. G. Aronson", title = "On the stability of certain finite difference approximations to parabolic systems of differential equations", journal = j-NUM-MATH, volume = "5", pages = "118--137", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", note = "See correction \cite{Aronson:1963:CPS}.", acknowledgement = ack-nhfb, } @Article{Imhof:1963:MNI, author = "J. P. Imhof", title = "On the method for numerical integration of {Clenshaw} and {Curtis}", journal = j-NUM-MATH, volume = "5", pages = "138--141", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gastinel:1963:DNG, author = "N. Gastinel", title = "Sur-decomposition de normes g{\'e}n{\'e}rales et proc{\'e}d{\'e}s iteratifs. ({French}) [{Super} Decomposition of Generalized Norms and Iterative Procedures]", journal = j-NUM-MATH, volume = "5", pages = "142--151", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Lynn:1963:SIM, author = "M. S. Lynn", title = "Some infra-max bounds for the spectral radii of splittings of ${H}$-matrices", journal = j-NUM-MATH, volume = "5", pages = "152--174", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Douglas:1963:CAD, author = "J. {Douglas, Jr.} and C. M. Pearcy", title = "On convergence of alternating direction procedures in the presence of singular operators", journal = j-NUM-MATH, volume = "5", pages = "175--184", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Descloux:1963:BSN, author = "J. Descloux", title = "Bounds for the spectral norm of functions of matrices", journal = j-NUM-MATH, volume = "5", pages = "185--190", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:44:06 1997", mynote = "f(triangular)", } @Article{Ginsburg:1963:CGM, author = "T. Ginsburg", title = "The conjugate gradient method", journal = j-NUM-MATH, volume = "5", pages = "191--200", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Seidman:1963:SCD, author = "T. I. Seidman", title = "On the stability of certain difference schemes", journal = j-NUM-MATH, volume = "5", pages = "201--210", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ortega:1963:EAH, author = "James M. Ortega", title = "An Error Analysis of {Householder}'s Method for the Symmetric Eigenvalue Problem", journal = j-NUM-MATH, volume = "5", pages = "211--225", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri Nov 25 09:10:08 GMT 1994", } @Article{Haemmerlin:1963:UAS, author = "G. Haemmerlin", title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r Quadraturfehler}. ({German}) [{On} Derivative-Free Bounds for Quadrature Error]", journal = j-NUM-MATH, volume = "5", pages = "226--233", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Householder:1963:SVI, author = "A. S. Householder and J. A. Carpenter", title = "The singular values of involutory and of idempotent matrices", journal = j-NUM-MATH, volume = "5", pages = "234--237", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Weinstein:1963:SLT, author = "A. Weinstein", title = "On the {Sturm-Liouville} theory and the eigenvalues of intermediate problems", journal = j-NUM-MATH, volume = "5", pages = "238--245", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lehmann:1963:OE, author = "N. J. Lehmann", title = "{Optimale Eigenwerteinschliessungen}. ({German}) [{Optimal} Eigenvalue Inclusion]", journal = j-NUM-MATH, volume = "5", pages = "246--272", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Rutishauser:1963:TMS, author = "H. Rutishauser and H. R. Schwarz", title = "The {$LR$} transformation method for symmetric matrices", journal = j-NUM-MATH, volume = "5", pages = "273--289", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Aronson:1963:CPS, author = "D. G. Aronson", title = "A Correction to the Paper {``On the stability of certain finite difference approximations to parabolic systems of differential equations'' [Num. Math. {\bf 5}, 118--137 (1963)]}", journal = j-NUM-MATH, volume = "5", pages = "290--290", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", note = "See \cite{Aronson:1963:SCF}.", acknowledgement = ack-nhfb, } @Article{Hofsommer:1963:NCE, author = "D. J. Hofsommer and R. van de Riet", title = "On the numerical calculation of elliptic integrals of the first and second kind and the elliptic functions of Jacobi", journal = j-NUM-MATH, volume = "5", pages = "291--302", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schonhage:1963:OPD, author = "A. Sch{\"o}nhage", title = "{Optimale Punkte f{\"u}r Differentiation und Integration}. ({German}) [{Optimal} Points for Differentiation and Integration]", journal = j-NUM-MATH, volume = "5", pages = "303--331", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Wynn:1963:NCF, author = "P. Wynn", title = "Note on a converging factor for a certain continued fraction", journal = j-NUM-MATH, volume = "5", pages = "332--352", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Toernig:1963:UDR, author = "Willi Toernig", title = "{{\"U}ber Differenzverfahren in Rechteckgittern zur numerischen L{\"o}sung quasilinearer hyperbolischer Differentialgleichungen}. ({German}) [{On} the Difference Method in Rectangular Grid for the Numerical Solution of Quasilinear Hyperbolic Differential Equations]", journal = j-NUM-MATH, volume = "5", pages = "353--370", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Stoer:1963:DNP, author = "J. Stoer", title = "Duality in nonlinear programming and the minimax theorem", journal = j-NUM-MATH, volume = "5", pages = "371--379", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Borsch-Supan:1963:PEB, author = "W. B{\"o}rsch-Supan", title = "A Posteriori Error Bounds for the Zeros of Polynomials", journal = j-NUM-MATH, volume = "5", pages = "380--398", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Stetter:1963:MBS, author = "H. J. Stetter", title = "Maximum bounds for the solutions of initial value problems for partial difference equations", journal = j-NUM-MATH, volume = "5", pages = "399--424", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gautschi:1963:IVC, author = "Walter Gautschi", title = "On Inverses of {Vandermonde} and Confluent {Vandermonde} Matrices. {II}", journal = j-NUM-MATH, volume = "5", pages = "425--430", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Zurmuhl:1964:AGT, author = "R. Zurm{\"u}hl", title = "{Zur angen{\"a}herten ganzrationalen Tschebyscheff-Approximation mit Hilfe trigonometrischer Interpolation}. ({German}) [{Toward} Approximate Fairly Rational {Chebyshev} Approximation with the Aid of Trigonometric Interpolation]", journal = j-NUM-MATH, volume = "6", pages = "1--5", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bulirsch:1964:BRI, author = "R. Bulirsch", title = "{Bemerkungen zur Romberg-Integration}. ({German}) [{Remark} on {Romberg} Integration]", journal = j-NUM-MATH, volume = "6", pages = "6--16", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Eve:1964:EP, author = "J. Eve", title = "The evaluation of polynomials", journal = j-NUM-MATH, volume = "6", pages = "17--21", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wynn:1964:GPV, author = "P. Wynn", title = "General purpose vector epsilon algorithm {ALGOL} procedures", journal = j-NUM-MATH, volume = "6", pages = "22--36", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Strang:1964:APD, author = "G. Strang", title = "Accurate partial difference methods. {II}: Non-linear problems", journal = j-NUM-MATH, volume = "6", pages = "37--46", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Goldstein:1964:MPM, author = "A. A. Goldstein and R. B. Kripke", title = "Mathematical Programming by Minimizing Differentiable Functions", journal = j-NUM-MATH, volume = "6", pages = "47--48", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Bennett:1964:IEM, author = "J. H. Bennett", title = "Integral equation methods for transport problems. Some numerical results", journal = j-NUM-MATH, volume = "6", pages = "49--54", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stoer:1964:UDN, author = "J. Stoer", title = "{{\"U}ber einen Dualit{\"a}tssatz der nichtlinearen Programmierung}. ({German}) [{On} a duality theorem of nonlinear programming]", journal = j-NUM-MATH, volume = "6", pages = "55--58", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:39:10 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Tsuda:1964:AMC, author = "T. Tsuda and T. Kiyono", title = "Application of the {Monte Carlo} method to systems of nonlinear algebraic equations", journal = j-NUM-MATH, volume = "6", pages = "59--67", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Salzer:1964:DDF, author = "H. E. Salzer", title = "Divided differences for functions of two variables for irregularly spaces arguments", journal = j-NUM-MATH, volume = "6", pages = "68--77", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schmidt:1964:AMI, author = "Jochen W. Schmidt", title = "{Ausgangsvektoren f{\"u}r monotone Iterationen bei linearen Gleichungsystemen}. ({German}) [{Starting} vectors for monotone iterations of linear equation systems]", journal = j-NUM-MATH, volume = "6", pages = "78--88", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:51:10 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Patry:1964:BF, author = "J. Patry and J. Keller", title = "{Zur Berechnung des Fehlerintegrals}. ({German}) [{Toward} the Computation of Error Integrals]", journal = j-NUM-MATH, volume = "6", pages = "89--97", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Marshall:1964:ITE, author = "A. W. Marshall and I. Olkin", title = "Inclusion theorems for eigenvalues from probability inequalities", journal = j-NUM-MATH, volume = "6", pages = "98--102", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kripke:1964:BAR, author = "Bernard R. Kripke", title = "Best approximation with respect to nearby norms", journal = j-NUM-MATH, volume = "6", pages = "103--105", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hageman:1964:BIM, author = "L. A. Hageman and R. S. Varga", title = "Block iterative methods for cyclically reduced matrix equations", journal = j-NUM-MATH, volume = "6", pages = "106--119", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Heap:1964:IPN, author = "B. R. Heap and M. S. Lynn", title = "The index of primitivity of a non-negative matrix", journal = j-NUM-MATH, volume = "6", pages = "120--141", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Tee:1964:ACM, author = "G. J. Tee", title = "An application of $p$-cyclic matrices, for solving periodic parabolic problems", journal = j-NUM-MATH, volume = "6", pages = "142--159", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bittner:1964:UMI, author = "L. Bittner", title = "{{\"U}ber ein mehrstufiges Iterationsverfahren zur L{\"o}sung von linearen Gleichungen}. ({German}) [{On} a More Layered Iteration Method for Solution of Linear Equations]", journal = j-NUM-MATH, volume = "6", pages = "161--180", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Gunn:1964:NSS, author = "J. E. Gunn", title = "The numerical solution of $\nabla\cdot a\nabla u = f$ by a semi-explicit alternating-direction iterative technique", journal = j-NUM-MATH, volume = "6", pages = "181--184", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lynch:1964:DSP, author = "R. Lynch and J. Rice and D. Thomas", title = "Direct solution of partial difference equations by tensor product methods", journal = j-NUM-MATH, volume = "6", pages = "185--199", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", acknowledgement = ack-nhfb, } @Article{Suschowk:1964:DAG, author = "D. Suschowk", title = "Difference analogues of {Green}'s identities for grids in {$R^n$}", journal = j-NUM-MATH, volume = "6", pages = "200--210", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Briones:1964:AAC, author = "F. Briones", title = "On the alternants appearing in {Chebyshev}'s best approximation problem", journal = j-NUM-MATH, volume = "6", pages = "211--223", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ansorge:1964:SGK, author = "Rainer Ansorge", title = "{Zur Struktur gewisser Konvergenzkriterien bei der numerischen L{\"o}sung von Anfangswertaufgaben}. ({German}) [{On} the structure of some convergence criteria for numerical solving of certain initial value problems]", journal = j-NUM-MATH, volume = "6", pages = "224--234", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Boehm:1964:FWB, author = "B. Boehm", title = "Functions whose best rational {Chebyshev} approximation are polynomials", journal = j-NUM-MATH, volume = "6", pages = "235--242", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gunn:1964:TSI, author = "J. E. Gunn", title = "On the two-stage iterative method of {Douglas} for mildly non-linear elliptic difference equations", journal = j-NUM-MATH, volume = "6", pages = "243--249", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rosen:1964:PPP, author = "J. B. Rosen", title = "Primal partition programming for block diagonal matrices", journal = j-NUM-MATH, volume = "6", pages = "250--260", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Handscomb:1964:RMC, author = "D. C. Handscomb", title = "Remarks on a {Monte Carlo} integration method", journal = j-NUM-MATH, volume = "6", pages = "261--268", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Broyden:1964:SGT, author = "C. G. Broyden", title = "Some generalisations of the theory of successive over-relaxation", journal = j-NUM-MATH, volume = "6", pages = "269--284", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Mitchell:1964:IFA, author = "A. Mitchell and G. Fairweather", title = "Improved forms of the alternating direction methods of {Douglas}, {Peaceman}, and {Rachford} for solving parabolic and elliptic equations", journal = j-NUM-MATH, volume = "6", pages = "285--292", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lawson:1964:CPS, author = "Ch.L. Lawson", title = "Characteristic properties of the segmented rational minmax approximation problem", journal = j-NUM-MATH, volume = "6", pages = "293--301", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stoer:1964:CLU, author = "J. Stoer", title = "On the characterization of least upper bound norms in matrix space", journal = j-NUM-MATH, volume = "6", pages = "302--314", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wilf:1964:ECN, author = "H. Wilf", title = "Exactness conditions in numerical quadrature", journal = j-NUM-MATH, volume = "6", pages = "315--319", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Filippi:1964:ATA, author = "Siegfried Filippi", title = "{Angen{\"a}herte Tschebyscheff-Approximation einer Stammfunktion des Verfahrens von Clenshaw und Curtis}. ({German}) [{Chebyshev} Approximation of a Primitive Function of the {Clenshaw-Curtis} Methods]", journal = j-NUM-MATH, volume = "6", pages = "320--328", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Azpeitia:1964:DRS, author = "A. G. Azpeitia and D. J. Dickinson", title = "A decision rule in the simplex method that avoids cycling", journal = j-NUM-MATH, volume = "6", pages = "329--331", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schneider:1964:BND, author = "A. Schneider", title = "{Bemerkungen zur numerischen Differentiation}. ({German}) [{Remark} on numerical differentiation]", journal = j-NUM-MATH, volume = "6", pages = "332--334", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Nov 05 10:26:22 2002", acknowledgement = ack-nhfb, language = "German", } @Article{Buchmann:1964:CUJ, author = "M. Buchmann", title = "A condition for uniform {Jordanization} of a family of triangular matrices", journal = j-NUM-MATH, volume = "6", pages = "335--345", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Heap:1964:GTA, author = "B. R. Heap and M. S. Lynn", title = "A graph-theoretic algorithm for the solution of a linear {Diophantine} problem of {Frobenius}", journal = j-NUM-MATH, volume = "6", pages = "346--354", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nirschl:1964:BFV, author = "N. Nirschl and H. Schneider", title = "The {Bauer} fields of values of a matrix", journal = j-NUM-MATH, volume = "6", pages = "355--365", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Varga:1964:SIG, author = "R. S. Varga", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "6", pages = "366--376", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lancaster:1964:EMD, author = "P. Lancaster", title = "On eigenvalues of matrices dependent on a parameter", journal = j-NUM-MATH, volume = "6", pages = "377--387", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lancaster:1964:ALM, author = "P. Lancaster", title = "Algorithms for lambda-matrices", journal = j-NUM-MATH, volume = "6", pages = "388--394", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Weinitschke:1964:UKI, author = "H. J. Weinitschke", title = "{{\"U}ber eine Klasse von Iterationsverfahren}. ({German}) [{On} a Class of Iteration Methods]", journal = j-NUM-MATH, volume = "6", pages = "395--404", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Oettli:1964:CAS, author = "W. Oettli and W. Prager", title = "Compatibility of Approximate Solution of Linear Equations With Given Error Bounds for Coefficients and Right-Hand Sides", journal = j-NUM-MATH, volume = "6", pages = "405--409", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", keywords = "backward perturbation; la; linear system; pert", } @Article{Gerhards:1965:VBV, author = "L. Gerhards and W. Lindenberg", title = "{Ein Verfahren zur Berechnung des vollst{\"a}ndigen Untergruppenverbandes endlicher Gruppen auf Dualmaschinen}. ({German}) [{A} Method for Calculation of the Complete Collection of Subgroups of Finite Groups from Dual Machines]", journal = j-NUM-MATH, volume = "7", number = "1", pages = "1--10", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Schneider:1965:POI, author = "H. Schneider", title = "Positive operators and an inertia theorem", journal = j-NUM-MATH, volume = "7", number = "1", pages = "11--17", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stetter:1965:AEE, author = "H. J. Stetter", title = "Asymptotic expansions for the error of discretization algorithms for non- linear functional equations", journal = j-NUM-MATH, volume = "7", number = "1", pages = "18--31", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Braess:1965:MIG, author = "Dietrich Braess", title = "{Monotone Iterationsfolgen bei Gleichungssystemen mit fehlerhaften Koeffizienten und Iterationsbeschleunigung}. ({German}) [{Monotone} Iteration Sequences for Equation Systems with Coefficients Having Errors, and Iteration Acceleration]", journal = j-NUM-MATH, volume = "7", number = "1", pages = "32--41", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bergmann:1965:NSB, author = "S. Bergmann and John G. Herriot", title = "Numerical solution of boundary-value problems by the method of integral operators", journal = j-NUM-MATH, volume = "7", number = "1", pages = "42--65", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Maybee:1965:SST, author = "J. S. Maybee", title = "Some structural theorems for partial difference operators", journal = j-NUM-MATH, volume = "7", number = "1", pages = "66--72", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hedstrom:1965:NSL, author = "G. W. Hedstrom", title = "The near-stability of the {Lax-Wendroff} method", journal = j-NUM-MATH, volume = "7", number = "1", pages = "73--77", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bulirsch:1965:NCE, author = "R. Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions", journal = j-NUM-MATH, volume = "7", number = "1", pages = "78--90", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, } @Article{Miller:1965:NAS, author = "K. Miller", title = "Numerical analogs to the {Schwarz} alternating procedure", journal = j-NUM-MATH, volume = "7", number = "2", pages = "91--103", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Metropolis:1965:AUA, author = "N. Metropolis", title = "Algorithms in unnormalized arithmetic. {I}: {Recurrence} relations", journal = j-NUM-MATH, volume = "7", number = "2", pages = "104--112", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Parter:1965:MNE, author = "S. V. Parter", title = "Mildly nonlinear elliptic partial differential equations and their numerical solution. {I}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "113--128", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Greenspan:1965:MNE, author = "D. Greenspan and S. V. Parter", title = "Mildly nonlinear elliptic partial differential equations and their numerical solution. {II}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "129--146", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Marsal:1965:VSE, author = "D. Marsal", title = "{Eine Verallgemeinerung der Summenformel von Euler und ihre Anwendung auf ausgew{\"a}hlte Probleme der numerischen Integration}. ({German}) [{A} Generalization of {Euler}'s Summation Formula and its Use for Selected Problems of Numerical Integration]", journal = j-NUM-MATH, volume = "7", number = "2", pages = "147--154", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Osborne:1965:NNS, author = "M. R. Osborne", title = "A note on the numerical solution of a periodic parabolic problem", journal = j-NUM-MATH, volume = "7", number = "2", pages = "155--158", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Roark:1965:MCE, author = "A. L. Roark and G. M. Wing", title = "A method for computing the eigenvalues of certain integral equations", journal = j-NUM-MATH, volume = "7", number = "2", pages = "159--170", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Todd:1965:SIG, author = "J. Todd", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "7", number = "2", pages = "170--175", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Brosowski:1965:ERT, author = "Bruno Brosowski", title = "{{\"U}ber die Eindeutigkeit der rationalen Tschebyscheff-Approximationen}. ({German}) [{On} the uniqueness of rational {Chebyshev} approximations]", journal = j-NUM-MATH, volume = "7", number = "2", pages = "176--186", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 12:04:07 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Parlett:1965:CA, author = "B. Parlett", title = "Convergence of the {$QR$} algorithm", journal = j-NUM-MATH, volume = "7", number = "2", pages = "187--193", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Miller:1965:ASF, author = "G. F. Miller", title = "Algorithms for special functions. {II}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "194--196", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, } @Article{Garsia:1965:SBB, author = "A. M. Garsia", title = "Some bounds on best uniform linear approximation", journal = j-NUM-MATH, volume = "7", number = "3", pages = "197--205", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Golub:1965:NMS, author = "G. H. Golub", title = "Numerical Methods for Solving Linear Least Squares Problems", journal = j-NUM-MATH, volume = "7", number = "3", pages = "206--216", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.20", MRnumber = "31\#5323", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, keywords = "Householder transformation; lsq; nla; qrd; updating", } @Article{Bennett:1965:TFM, author = "J. M. Bennett", title = "Triangular factors of modified matrices", journal = j-NUM-MATH, volume = "7", number = "3", pages = "217--221", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kuenzi:1965:DA, author = "H. P. Kuenzi and H. Tzschach", title = "The duoplex-algorithm", journal = j-NUM-MATH, volume = "7", number = "3", pages = "222--225", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Heap:1965:LDP, author = "B. R. Heap and M. S. Lynn", title = "On a linear {Diophantine} problem of {Frobenius}: an improved algorithm", journal = j-NUM-MATH, volume = "7", number = "3", pages = "226--231", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Haemmerlin:1965:UAS, author = "Guenther Haemmerlin", title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r Quadraturfehler. II: Erg{\"a}nzungen und M{\"o}glichkeiten zur Verbesserung}. ({German}) [{On} constraints without derivatives for quadrature errors. {II}: Completions and possibilities to improve]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "232--237", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Cochran:1965:ZHF, author = "J. A. Cochran", title = "The zeros of {Hankel} functions as functions of their order", journal = j-NUM-MATH, volume = "7", number = "3", pages = "238--250", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Focke:1965:UMM, author = "J. Focke", title = "{{\"U}ber die Multiplikativit{\"a}t von Matrizennormen}. ({German}) [{On} the Multiplicability of Matrix Norms]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "251--254", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Gastinel:1965:PCE, author = "N. Gastinel", title = "Propri{\'e}t{\'e}s de certains ensembles normes de matrices. ({French}) [{Properties} of Certain Matrix Norm Ensembles]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "255--260", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Timlake:1965:EP, author = "W. P. Timlake", title = "An extension of the ${\Sigma}^2$ procedure", journal = j-NUM-MATH, volume = "7", number = "3", pages = "261--268", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Businger:1965:LLS, author = "Peter A. Businger and Gene H. Golub", title = "Linear Least Squares Solutions by {Householder} Transformations", journal = j-NUM-MATH, volume = "7", number = "3", pages = "269--276", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.20", MRnumber = "31\#862", bibdate = "Sun Jan 14 10:04:47 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 111--118]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "Householder transformation; lsq; nla; qrd; software", } @Article{Reimer:1965:FLD, author = "Manfred Reimer", title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r lineare Differenzenverfahren}. ({German}) [{An} error bound for linear difference methods]", journal = j-NUM-MATH, volume = "7", number = "4", pages = "277--285", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Greenspan:1965:VSN, author = "H. Greenspan and W. Hafner and M. Ribaric", title = "On varying stepsize in numerical integration of first order differential equations", journal = j-NUM-MATH, volume = "7", number = "4", pages = "286--291", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hayden:1965:CFA, author = "T. L. Hayden", title = "Continued fraction approximation to functions", journal = j-NUM-MATH, volume = "7", number = "4", pages = "292--309", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nemeth:1965:CEF, author = "G. Nemeth", title = "{Chebyshev} expansions for {Fresnel} integrals", journal = j-NUM-MATH, volume = "7", number = "4", pages = "310--312", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Klee:1965:CLP, author = "V. Klee", title = "A class of linear programming problems requiring a large number of iterations", journal = j-NUM-MATH, volume = "7", number = "4", pages = "313--321", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ralston:1965:RCA, author = "A. Ralston", title = "Rational {Chebyshev} approximation by {Remes}' algorithms", journal = j-NUM-MATH, volume = "7", number = "4", pages = "322--330", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1965:EPH, author = "F. L. Bauer", title = "An elementary proof of the {Hopf} inequality for positive operators", journal = j-NUM-MATH, volume = "7", number = "4", pages = "331--337", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1965:EWR, author = "F. L. Bauer", title = "Elimination with Weighted Row Combinations for Solving Linear Equations and Least Squares Problems", journal = j-NUM-MATH, volume = "7", number = "4", pages = "338--352", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 119--133]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "Gram-Schmidt algorithm; lsq; nla; software", } @Article{Bulrisch:1965:NCE, author = "R. Bulrisch", title = "Numerical calculation of elliptic integrals and elliptic functions. {II}", journal = j-NUM-MATH, volume = "7", number = "4", pages = "353--354", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Martin:1965:SDPa, author = "R. S. Martin and J. H. Wilkinson", title = "Symmetric Decomposition of Positive Definite Band Matrices", journal = j-NUM-MATH, volume = "7", number = "5", pages = "355--361", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 50--56]{Wilkinson:1971:LA}.", keywords = "band matrix; lud; nla; software; symmetric matrix", } @Article{Martin:1965:SDPb, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "Symmetric Decomposition of a Positive Definite Matrix", journal = j-NUM-MATH, volume = "7", number = "5", pages = "362--383", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 9--30]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "Cholesky decomposition; nla; software", } @Article{Barnhill:1965:CQR, author = "R. E. Barnhill", title = "Complex quadratures with remainders of minimum norm", journal = j-NUM-MATH, volume = "7", number = "5", pages = "384--390", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Goldstein:1965:NM, author = "A. A. Goldstein", title = "On {Newton}'s method", journal = j-NUM-MATH, volume = "7", number = "5", pages = "391--393", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Roark:1965:PRW, author = "A. L. Roark and L. F. Shampine", title = "On paper of Roark and Wing", journal = j-NUM-MATH, volume = "7", number = "5", pages = "394--395", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Brosowski:1965:ELP, author = "Bruno Brosowski", title = "{{\"U}ber Extremalsignaturen linearer Polynome in $n$ Ver{\"a}nderlichen}. ({German}) [{On the extremal signature of linear polynomials in $n$ variables}]", journal = j-NUM-MATH, volume = "7", number = "5", pages = "396--405", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:47:32 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Smith:1965:QMB, author = "F. J. Smith", title = "Quadrature methods based on the {Clenshaw-Curtis} method of integration", journal = j-NUM-MATH, volume = "7", number = "5", pages = "406--411", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Keller:1965:AFD, author = "H. B. Keller", title = "On the accuracy of finite difference approximations to the eigenvalues of differential and integral operators", journal = j-NUM-MATH, volume = "7", number = "5", pages = "412--419", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Shah:1965:ACF, author = "S. M. Shah and P. Suryanarayana", title = "Approximation of continuous functions by power series with polynomial coefficients", journal = j-NUM-MATH, volume = "7", number = "5", pages = "420--425", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rice:1965:CPR, author = "John R. Rice", title = "On the Conditioning of Polynomial and Rational Forms", journal = j-NUM-MATH, volume = "7", number = "5", pages = "426--435", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 16 17:22:04 GMT 1994", } @Article{Bulirsch:1966:NTO, author = "R. Bulirsch and J. Stoer", title = "Numerical treatment of ordinary differential equations by extrapolation methods", journal = j-NUM-MATH, volume = "8", number = "1", pages = "1--13", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Legras:1966:RNG, author = "J. Legras", title = "{R}{\'e}solution num{\'e}rique des grands syst{\`e}mes diff{\'e}rentiels lin{\'e}aires. ({French}) [{Numerical} Solution of Large Systems of Linear Differentials]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "14--28", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Dejon:1966:STU, author = "B. Dejon", title = "Stronger than uniform convergence of multistep difference methods", journal = j-NUM-MATH, volume = "8", number = "1", pages = "29--41", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", note = "See addendum \cite{Dejon:1966:AST}.", acknowledgement = ack-nhfb, } @Article{Lehmann:1966:VOE, author = "N. J. Lehmann", title = "{Zur Verwendung optimaler Eigenwerteingrenzungen bei der L{\"o}sung symmetrischer Matrizenaufgaben}. ({German}) [{On} the Use of Optimal Eigenvalue Enclosure for the Solution of Symmetric Matrix Problems]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "42--55", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Lieu:1966:MCE, author = "Bui Trong Lieu and P. Huard", title = "La m{\'e}thode des centres dans un espace topologique. ({French}) [{The} Method of Centers in a Topological Space]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "56--67", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Schaefke:1966:VBC, author = "F. W. Schaefke and D. Schmidt", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. III}. ({German}) [{A} Method for Computation of the Characteristic Exponent of {Mathieu}' Differential Equation. {III}]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "68--71", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Mueller:1966:HMC, author = "Dennis J. Mueller", title = "{Householder}'s Method for Complex Matrices and {Hermitian} Matrices", journal = j-NUM-MATH, volume = "8", number = "1", pages = "72--92", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", keywords = "complex matrix; eig; nla; symmetric matrix", } @Article{Bulirsch:1966:AUL, author = "Roland Bulirsch and Josef Stoer", title = "Asymptotic upper and lower bounds for results of extrapolation methods", journal = j-NUM-MATH, volume = "8", number = "2", pages = "93--104", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Oct 18 13:02:03 2007", acknowledgement = ack-nhfb, } @Article{Schmidt:1966:AEK, author = "Jochen W. Schmidt", title = "{Asymptotische Einschlie{\ss}ung bei konvergenzbeschleunigenden Verfahren}. ({German}) [{Asymptotic bounds for convergence accelerating methods}]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "105--113", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Heap:1966:RMG, author = "B. R. Heap", title = "Random matrices and graphs", journal = j-NUM-MATH, volume = "8", number = "2", pages = "114--122", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Doring:1966:IIS, author = "Boro D{\"o}ring", title = "{Inverse Interpolation bei den speziellen Funktionen der mathematischen Physik}. ({German}) [{Inverse interpolation in the special functions of mathematical physics}]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "123--136", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:48:28 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Gourlay:1966:ADM, author = "A. R. Gourlay and A. R. Mitchell", title = "Alternating direction methods for hyperbolic systems", journal = j-NUM-MATH, volume = "8", number = "2", pages = "137--149", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stenger:1966:BEG, author = "F. Stenger", title = "Bounds on the error of {Gauss}-type quadratures", journal = j-NUM-MATH, volume = "8", number = "2", pages = "150--160", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Spijker:1966:CSS, author = "M. N. Spijker", title = "Convergence and stability of step-by-step methods for the numerical solution of initial-value problems", journal = j-NUM-MATH, volume = "8", number = "2", pages = "161--177", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ansorge:1966:FVA, author = "Rainer Ansorge", title = "{Zur Frage der Verallgemeinerung des {\"A}quivalenzsatzes von Lax}. ({German}) [{On} the Question of Generalization of the {Lax} Equivalence Principles]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "178--185", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Widlund:1966:SPD, author = "O. B. Widlund", title = "Stability of parabolic difference schemes in the maximum norm", journal = j-NUM-MATH, volume = "8", number = "2", pages = "186--202", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Martin:1966:IRS, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "Iterative Refinement of the Solution of a Positive Definite System of Equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "203--216", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 31--44]{Wilkinson:1971:LA}.", keywords = "iterative refinement; linear system; nla; positive definite matrix; software", } @Article{Bowdler:1966:SRC, author = "H. J. Bowdler and R. S. Martin and G. Peters and J. H. Wilkinson", title = "Solution of Real and Complex Systems of Linear Equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "217--234", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 93--110]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "linear system; lud; nla; software", } @Article{Stetter:1966:NAF, author = "H. J. Stetter", title = "Numerical approximation of {Fourier}-transforms", journal = j-NUM-MATH, volume = "8", number = "3", pages = "235--249", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lambert:1966:GMM, author = "J. D. Lambert and B. Shaw", title = "A generalisation of multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "250--263", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wynn:1966:USR, author = "P. Wynn", title = "Upon systems of recursions which obtain among the quotients of the {Pad{\'e}} table", journal = j-NUM-MATH, volume = "8", number = "3", pages = "264--269", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Guderley:1966:RTP, author = "K. G. Guderley and P. J. Nikolai", title = "Reduction of two-point boundary value problems in a vector space to initial value problems by projection", journal = j-NUM-MATH, volume = "8", number = "3", pages = "270--289", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kerner:1966:GBN, author = "I. O. Kerner", title = "{Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen}. ({German}) [{A} Complete Step Method for the Computation of Zeros of Polynomials]", journal = j-NUM-MATH, volume = "8", number = "3", pages = "290--294", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Barrodale:1966:ABL, author = "I. Barrodale and A. Young", title = "Algorithms for best {$L_1$} and {$L_\infty$} linear approximations on a discrete set", journal = j-NUM-MATH, volume = "8", number = "3", pages = "295--306", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Broyden:1966:ASC, author = "C. G. Broyden and F. Ford", title = "An algorithm for the solution of certain kinds of linear equations", journal = j-NUM-MATH, volume = "8", number = "4", pages = "307--323", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Yamamoto:1966:CMD, author = "T. Yamamoto", title = "A computational method for the dominant root of a nonnegative irreducible matrix", journal = j-NUM-MATH, volume = "8", number = "4", pages = "324--333", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Haemmerlin:1966:AQA, author = "G. Haemmerlin", title = "{Zur Absch{\"a}tzung von Quadraturfehlern f{\"u}r analytische Funktionen}. ({German}) [{On} Bounds for Quadrature Error for Analytic Funktions]", journal = j-NUM-MATH, volume = "8", number = "4", pages = "334--344", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Meinguet:1966:MER, author = "J. Meinguet", title = "Methods for estimating the remainder in linear rules of approximation. {Application} to the {Romberg} algorithm", journal = j-NUM-MATH, volume = "8", number = "4", pages = "345--366", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gourlay:1966:SID, author = "A. R. Gourlay and A. R. Mitchell", title = "A stable implicit difference method for hyperbolic systems in two space variables", journal = j-NUM-MATH, volume = "8", number = "4", pages = "367--375", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Pereyra:1966:IAS, author = "V. Pereyra", title = "On improving an approximate solution of a functional equation by deferred corrections", journal = j-NUM-MATH, volume = "8", number = "4", pages = "376--391", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gorenflo:1966:SAT, author = "R. Gorenflo and Y. Kovetz", title = "Solution of an {Abel}-type integral equation in the presence of noise by quadratic programming", journal = j-NUM-MATH, volume = "8", number = "4", pages = "392--406", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rudert:1966:UPL, author = "W. S. Rudert and H. G. Lill", title = "{{\"U}ber Partitionen und ein lineares diophantisches Problem}. ({German}) [{On} partitions and a linear {Diophantine} problem]", journal = j-NUM-MATH, volume = "8", number = "5", pages = "407--411", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:39:08 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Ponstein:1966:SCE, author = "J. Ponstein", title = "Splitting certain eigenvalue/eigenvector problems", journal = j-NUM-MATH, volume = "8", number = "5", pages = "412--421", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Clendenin:1966:MNC, author = "W. W. Clendenin", title = "A method for numerical calculation of {Fourier} integrals", journal = j-NUM-MATH, volume = "8", number = "5", pages = "422--436", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Porsching:1966:DST, author = "T. A. Porsching", title = "Diagonal similarity transformations which isolate {Gerschgorin} disks", journal = j-NUM-MATH, volume = "8", number = "5", pages = "437--443", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ninham:1966:GFD, author = "B. W. Ninham", title = "Generalised functions and divergent integrals", journal = j-NUM-MATH, volume = "8", number = "5", pages = "444--457", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lyness:1966:VMS, author = "J. N. Lyness and C. B. Moler", title = "{Van der Monde} Systems and Numerical Differentiation", journal = j-NUM-MATH, volume = "8", number = "5", pages = "458--464", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Gragg:1966:TK, author = "W. B. Gragg and A. S. Householder", title = "On a Theorem of {K{\"o}nig}", journal = j-NUM-MATH, volume = "8", number = "5", pages = "465--468", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", keywords = "Koenig's theorem; nlop", } @Article{Rutishauser:1966:JMR, author = "H. Rutishauser", title = "The {Jacobi} method for real symmetric matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "1--10", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", note = "Also in \cite[pp. 202--211]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, } @Article{Kempen:1966:CCJ, author = "H. P. M. van Kempen", title = "On the convergence of the classical {Jacobi} method for real symmetric matrices with non-distinct eigenvalues", journal = j-NUM-MATH, volume = "9", number = "1", pages = "11--18", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kempen:1966:QCS, author = "H. P. M. van Kempen", title = "On the quadratic convergence of the special cyclic {Jacobi} method", journal = j-NUM-MATH, volume = "9", number = "1", pages = "19--22", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rall:1966:CNP, author = "L. B. Rall", title = "Convergence of the {Newton} process to multiple solutions", journal = j-NUM-MATH, volume = "9", number = "1", pages = "23--37", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stroud:1966:SAI, author = "A. H. Stroud", title = "Some approximative integration formulas of degree $3$ for an $n$-dimensional simplex", journal = j-NUM-MATH, volume = "9", number = "1", pages = "38--45", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Householder:1966:STN, author = "A. S. Householder", title = "Separation theorems for normalizable matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "46--50", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Buchanan:1966:UCM, author = "M. L. Buchanan and B. N. Parlett", title = "The uniform convergence of matrix powers", journal = j-NUM-MATH, volume = "9", number = "1", pages = "51--54", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lancaster:1966:EAN, author = "P. Lancaster", title = "Error analysis for the {Newton-Raphson} method", journal = j-NUM-MATH, volume = "9", number = "1", pages = "55--68", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nickel:1966:UNF, author = "K. Nickel", title = "{{\"U}ber die Notwendigkeit einer Fehlerschranken-Arithmetik f{\"u}r Rechenautomaten}. ({German}) [{On} the Need for Interval Arithmetic on Computers]", journal = j-NUM-MATH, volume = "9", number = "1", pages = "69--79", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Nickel:1966:NBW, author = "K. Nickel", title = "{Die numerische Berechnung der Wurzeln eines Polynoms}. ({German}) [{The} Numerical Computation of Polynomial Roots]", journal = j-NUM-MATH, volume = "9", number = "1", pages = "80--98", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Daniel:1966:CAM, author = "J. W. Daniel", title = "Correcting approximations to multiple roots of polynomials", journal = j-NUM-MATH, volume = "9", number = "1", pages = "99--102", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rutishauser:1966:BEO, author = "H. Rutishauser", title = "{Bestimmung der Eigenwerte orthogonaler Matrizen}. ({German}) [{Determination of the Eigenvalues of Orthogonal Matrices}]", journal = j-NUM-MATH, volume = "9", number = "2", pages = "104--108", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Fiedler:1966:MI, author = "M. Fiedler", title = "Matrix inequalities", journal = j-NUM-MATH, volume = "9", number = "2", pages = "109--119", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Henrici:1966:TEE, author = "P. Henrici and P. Pfluger", title = "Truncation error estimates for {Stieltjes} fractions", journal = j-NUM-MATH, volume = "9", number = "2", pages = "120--138", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Golub:1966:NIR, author = "G. H. Golub and J. H. Wilkinson", title = "Note on the Iterative Refinement of Least Squares Solution", journal = j-NUM-MATH, volume = "9", number = "2", pages = "139--148", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65.20", MRnumber = "35 \#3849", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, keywords = "condition; iterative refinement; la; lsq; nla; pert", } @Article{Schroder:1966:OUI, author = "Johann Schr{\"o}der", title = "{Operator-Ungleichungen und ihre numerische Anwendung bei Randwertaufgaben}. ({German}) [{Operator inequalities and their numerical use in boundary value problems}]", journal = j-NUM-MATH, volume = "9", number = "2", pages = "149--162", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:48:34 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Fiedler:1966:SGP, author = "M. Fiedler and S. V. Ptak", title = "Some generalizations of positive definiteness and monotonicity", journal = j-NUM-MATH, volume = "9", number = "2", pages = "163--172", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1966:ISR, author = "F. L. Bauer", title = "Inclusion sets for roots of polynomials", journal = j-NUM-MATH, volume = "9", number = "2", pages = "173--176", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Cody:1966:RCA, author = "W. J. Cody and J. Stoer", title = "Rational {Chebyshev} approximations using interpolation", journal = j-NUM-MATH, volume = "9", number = "3", pages = "177--188", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib", note = "See erratum \cite{Cody:1968:CRC}.", acknowledgement = ack-nhfb, } @Article{Robert:1966:RMP, author = "F. Robert", title = "Recherche d'une {$M$}-matrice parmi les minorantes d'un op{\'e}rateur lin{\'e}aire. ({French}) [{Search} for an {$M$}-Matrix among the Minorants of a Linear Operator]", journal = j-NUM-MATH, volume = "9", number = "3", pages = "189--199", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Stenger:1966:EBE, author = "F. Stenger", title = "Error bounds for the evaluation of integrals by repeated {Gauss}-type formulae", journal = j-NUM-MATH, volume = "9", number = "3", pages = "200--213", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Penkov:1966:HMA, author = "B. Penkov and B. Sendov", title = "{Hausdorffsche Metrik und Approximationen}. ({German}) [{Hausdorff} Metric and Approximations]", journal = j-NUM-MATH, volume = "9", number = "3", pages = "214--226", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Klee:1966:CPD, author = "V. Klee", title = "A comparison of primal and dual methods of linear programming", journal = j-NUM-MATH, volume = "9", number = "3", pages = "227--235", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bramble:1966:SOF, author = "James H. Bramble", title = "A second order finite difference analog of the first biharmonic boundary value problem", journal = j-NUM-MATH, volume = "9", number = "3", pages = "236--249", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Symm:1966:IEM, author = "G. T. Symm", title = "An integral equation method in conformal mapping", journal = j-NUM-MATH, volume = "9", number = "3", pages = "250--258", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bradbury:1966:NIM, author = "W. W. Bradbury and R. Fletcher", title = "New Iterative Methods for Solution of the Eigenproblem", journal = j-NUM-MATH, volume = "9", number = "3", pages = "259--267", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, keywords = "conjugate gradients; eig; nla; sparse", } @Article{Dejon:1966:AST, author = "B. Dejon", title = "Addendum to {``stronger than uniform convergence of multistep difference methods''}", journal = j-NUM-MATH, volume = "9", number = "3", pages = "268--270", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", note = "See \cite{Dejon:1966:STU}.", acknowledgement = ack-nhfb, } @Article{Bulirsch:1967:NQE, author = "R. Bulirsch and J. Stoer", title = "Numerical quadrature by extrapolation", journal = j-NUM-MATH, volume = "9", number = "4", pages = "271--278", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", series = "Handbook Series Numerical Integration", acknowledgement = ack-nhfb, } @Article{Martin:1967:SSU, author = "R. S. Martin and J. H. Wilkinson", title = "Solution of Symmetric and Unsymmetric Band Equations and the Calculation of Eigenvectors of Band Matrices", journal = j-NUM-MATH, volume = "9", number = "4", pages = "279--301", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 70--92]{Wilkinson:1971:LA}.", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, keywords = "band matrix; eig; linear system; nla; software", } @Article{Hofmann:1967:AED, author = "P. Hofmann", title = "Asymptotic expansions of the discretization error of boundary value problems of the {Laplace} equation in rectangular domains", journal = j-NUM-MATH, volume = "9", number = "4", pages = "302--322", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Oliver:1967:REP, author = "J. Oliver", title = "Relative error propagation in the recursive solution of linear recurrence relations", journal = j-NUM-MATH, volume = "9", number = "4", pages = "323--340", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Urabe:1967:NSM, author = "M. Urabe", title = "Numerical solution of multi-point boundary value problems in {Chebyshev} series. Theory of the method", journal = j-NUM-MATH, volume = "9", number = "4", pages = "341--366", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Shaw:1967:SMF, author = "B. Shaw", title = "Some multistep formulae for special high order ordinary differential equations", journal = j-NUM-MATH, volume = "9", number = "4", pages = "367--378", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bulrisch:1967:NCS, author = "R. Bulrisch", title = "Numerical calculation of the sine, cosine and {Fresnel} integrals", journal = j-NUM-MATH, volume = "9", number = "5", pages = "380--385", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, } @Article{Barth:1967:CES, author = "R. S. Martin W. Barth and J. H. Wilkinson", title = "Calculation of the Eigenvalues of a Symmetric Tridiagonal matrix by the Method of Bisection", journal = j-NUM-MATH, volume = "9", number = "5", pages = "386--393", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 249--256]{Wilkinson:1971:LA}.", series = "Handbook Series Linear Algebra", keywords = "eig; nla; software; Sturm sequence; symmetric matrix; tridiagonal matrix", } @Article{Ciarlet:1967:NMH, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {I}: {One} dimensional problem", journal = j-NUM-MATH, volume = "9", number = "5", pages = "394--430", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", note = "See birthday greetings \cite{Ciarlet:1998:ERV}.", acknowledgement = ack-nhfb, } @Article{Merzrath:1967:DSP, author = "E. Merzrath", title = "Direct solution of partial difference equations", journal = j-NUM-MATH, volume = "9", number = "5", pages = "431--436", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Redheffer:1967:BUD, author = "R. M. Redheffer", title = "{Bemerkungen {\"u}ber Differentialungleichungen bei abz{\"a}hlbaren Ausnahmemengen}. ({German}) [{Remark} on Differential Equations for Countable Sets]", journal = j-NUM-MATH, volume = "9", number = "5", pages = "437--445", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Hodgkins:1967:RBD, author = "W. R. Hodgkins", title = "On the relation between dynamic relaxation and semi-iterative matrix methods", journal = j-NUM-MATH, volume = "9", number = "5", pages = "446--451", month = apr, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162158", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:46:27 2007", acknowledgement = ack-nhfb, } @Article{Gaier:1967:RCO, author = "Dieter Gaier and John Todd", title = "On the rate of convergence of optimal {ADI} processes", journal = j-NUM-MATH, volume = "9", number = "5", pages = "452--459", month = apr, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162159", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:46:27 2007", acknowledgement = ack-nhfb, } @Article{Stroud:1967:SFD, author = "A. H. Stroud", title = "Some fifth degree integration formulas for symmetric regions {II}", journal = j-NUM-MATH, volume = "9", number = "5", pages = "460--468", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:46:27 2007", acknowledgement = ack-nhfb, } @Article{Metropolis:1967:SSN, author = "N. Metropolis and M. L. Stein and P. R. Stein", title = "Stable states of a non-linear transformation", journal = j-NUM-MATH, volume = "10", number = "1", pages = "1--19", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Eisen:1967:ESC, author = "D. Eisen", title = "The equivalence of stability and convergence for finite difference schemes with singular coefficients", journal = j-NUM-MATH, volume = "10", number = "1", pages = "20--29", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gries:1967:CCC, author = "D. Gries", title = "Characterizations of certain classes of norms", journal = j-NUM-MATH, volume = "10", number = "1", pages = "30--41", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schmidt:1967:FPF, author = "Jochen W. Schmidt and Hartmut Dressel", title = "{Fehlerabsch{\"a}tzungen bei Polynomgleichungen mit dem Fixpunktsatz von Brouwer}. ({German}) [{Error estimates by polynomial equations with Brouwer's fixed point estimate}]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "42--50", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:51:30 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Brosowski:1967:ERT, author = "Bruno Brosowski and Henry L. Loeb", title = "{Zur Eindeutigkeit der rationalen Tschebyscheff-Approximation an stetig differenzierbare Funktionen}. ({German}) [{On} the uniqueness of rational {Chebyshev} approximation of continuous differentiable functions]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "51--55", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Fairweather:1967:SHA, author = "G. Fairweather and A. R. Gourlay and A. R. Mitchell", title = "Some high accuracy difference with a splitting operator for equations of parabolic and elliptic type", journal = j-NUM-MATH, volume = "10", number = "1", pages = "56--66", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Keast:1967:FDS, author = "P. Keast and A. R. Mitchell", title = "Finite difference solution of the third boundary problem in elliptic and parabolic equations", journal = j-NUM-MATH, volume = "10", number = "1", pages = "67--75", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Osborne:1967:NSP, author = "M. R. Osborne", title = "The numerical solution of a periodic parabolic problem subject to a nonlinear boundary condition", journal = j-NUM-MATH, volume = "10", number = "1", pages = "76--79", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Walter:1967:BIL, author = "W. Walter", title = "{Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen}. ({German}) [{Remark} on Iteration Method for Linear Equation Systems]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "80--85", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Pyle:1967:GIA, author = "L. D. Pyle", title = "A generalized inverse $\epsilon$-algorithm for constructing intersection projection matrices, with applications", journal = j-NUM-MATH, volume = "10", number = "1", pages = "86--102", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Mehndiratta:1967:SSD, author = "S. L. Mehndiratta", title = "Symmetry and self-duality in nonlinear programming", journal = j-NUM-MATH, volume = "10", number = "2", pages = "103--109", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Tsuda:1967:MKP, author = "T. Tsuda and K. Ichida and T. Kiyono", title = "{Monte Carlo} path-integral calculations for two-point boundary-value problems", journal = j-NUM-MATH, volume = "10", number = "2", pages = "110--116", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Atkinson:1967:SNU, author = "K. E. Atkinson", title = "The solution of non-unique linear integral equations", journal = j-NUM-MATH, volume = "10", number = "2", pages = "117--124", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", acknowledgement = ack-nhfb, } @Article{Daniel:1967:CCG, author = "J. W. Daniel", title = "Convergence of the Conjugate Gradient Method with Computationally Convenient Modifications", journal = j-NUM-MATH, volume = "10", number = "2", pages = "125--131", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Maitre:1967:NCN, author = "J. F. Maitre", title = "Norme compos{\'e}e et norme associ{\'e}e g{\'e}n{\'e}ralis{\'e}e d'une matrice. ({French}) [{Composed} and Associative Generalized Matrix Norm]", journal = j-NUM-MATH, volume = "10", number = "2", pages = "132--141", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Loizou:1967:BIW, author = "G. Loizou", title = "Bounds for the inequality of {Wielandt}", journal = j-NUM-MATH, volume = "10", number = "2", pages = "142--146", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Dunham:1967:TRC, author = "C. B. Dunham", title = "Transformed rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "10", number = "2", pages = "147--152", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Elsner:1967:RBM, author = "L. Elsner and R. M. Redheffer", title = "Remarks on band matrices", journal = j-NUM-MATH, volume = "10", number = "2", pages = "153--161", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Parlett:1967:CCQ, author = "B. Parlett", title = "Correction to convergence of the {QR} algorithm", journal = j-NUM-MATH, volume = "10", number = "2", pages = "163--164", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Cryer:1967:CLE, author = "C. W. Cryer", title = "On the calculation of the largest eigenvalue of an integral equation", journal = j-NUM-MATH, volume = "10", number = "2", pages = "165--176", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Reinsch:1967:SSF, author = "C. H. Reinsch", title = "Smoothing by spline functions", journal = j-NUM-MATH, volume = "10", number = "3", pages = "177--183", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Goldstein:1967:EAM, author = "A. A. Goldstein and J. F. Price", title = "An effective algorithm for minimization", journal = j-NUM-MATH, volume = "10", number = "3", pages = "184--189", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Laurent:1967:TCM, author = "P. J. Laurent", title = "Th{\'e}or{\`e}mes de caract{\'e}risation d'une meilleure approximation dans un espace norme et g{\'e}n{\'e}ralisation de l'algorithme de {Remes}. ({French}) [{Theorems} for Characterizing the Best Approximation in a Normed Space and Generalization of the {Remes} Algorithm]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "190--208", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Ansorge:1967:KML, author = "Rainer Ansorge", title = "{Konvergenz von Mehrschrittverfahren zur L{\"o}sung halblinearer Anfangswertaufgaben}. ({German}) [{Convergence} of a multistep method for solution of half-linear initial-value problems]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "209--219", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri Feb 23 06:39:53 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Bohl:1967:NAH, author = "E. Bohl", title = "{Nichtlineare Aufgaben in halbgeordneten R{\"a}umen}. ({German}) [{Nonlinear} problems in half-ordered spaces]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "220--231", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:40:20 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Smith:1967:CNM, author = "R. A. Smith", title = "The condition numbers of the matrix eigenvalue problem", journal = j-NUM-MATH, volume = "10", number = "3", pages = "232--240", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kadner:1967:NBI, author = "H. Kadner", title = "{Die numerische Behandlung von Integralgleichungen nach der Kollokationsmethode}. ({German}) [{The} numerical treatment of integral equations in the collocation method]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "241--260", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Lehmann:1967:FND, author = "N. J. Lehmann", title = "{Fehlerschranken f{\"u}r N{\"a}herungsl{\"o}sungen bei Differentialgleichungen}. ({German}) [{Error} bounds for approximate solutions of differential equations]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "261--288", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:41:56 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Werner:1967:RCA, author = "H. Werner and J. Stoer and W. Bommas", title = "Rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "10", number = "4", pages = "289--306", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Cooper:1967:SSM, author = "G. J. Cooper and E. Gal", title = "Single step methods for linear differential equations", journal = j-NUM-MATH, volume = "10", number = "4", pages = "307--315", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Pereyra:1967:IDC, author = "Victor Pereyra", title = "Iterated deferred corrections for nonlinear operator equations", journal = j-NUM-MATH, volume = "10", number = "4", pages = "316--323", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ryan:1967:SMC, author = "J. T. Ryan", title = "A sieve method for classifying composite numbers", journal = j-NUM-MATH, volume = "10", number = "4", pages = "324--326", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{McNamee:1967:CFS, author = "J. McNamee and F. Stenger", title = "Construction of fully symmetric numerical integration formulas", journal = j-NUM-MATH, volume = "10", number = "4", pages = "327--344", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schultz:1967:S, author = "M. H. Schultz and R. S. Varga", title = "{L}-splines", journal = j-NUM-MATH, volume = "10", number = "4", pages = "345--369", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Meinguet:1967:OAE, author = "J. Meinguet", title = "Optimal approximation and error bounds in seminormed spaces", journal = j-NUM-MATH, volume = "10", number = "4", pages = "370--388", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Miller:1967:PBO, author = "J. J. H. Miller", title = "On power-bounded operators and operators satisfying a resolvent condition", journal = j-NUM-MATH, volume = "10", number = "5", pages = "389--396", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Eisen:1967:NS, author = "D. Eisen", title = "{On the numerical solution of $u_t = u\sb{rr} +{2\over r} u_r$}", journal = j-NUM-MATH, volume = "10", number = "5", pages = "397--409", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Forster:1967:EFG, author = "Peter F{\"o}rster", title = "{Existenzaussagen und Fehlerabsch{\"a}tzungen bei gewissen nichtlinearen Randwertaufgaben mit gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{Existence statement and error bounds for certain nonlinear boundary value problems with ordinary differential equations}]", journal = j-NUM-MATH, volume = "10", number = "5", pages = "410--422", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162874", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Stoss:1967:VBC, author = "Hanns-J{\"o}rg Stoss", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Differentialgleichung $y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$}. ({German}) [{A} procedure for the computation of the characteristic exponent of the differential equation $y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$]", journal = j-NUM-MATH, volume = "10", number = "5", pages = "423--436", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162875", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Symm:1967:NME, author = "George T. Symm", title = "Numerical mapping of exterior domains", journal = j-NUM-MATH, volume = "10", number = "5", pages = "437--445", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162876", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", acknowledgement = ack-nhfb, } @Article{Dixon:1967:HSC, author = "John D. Dixon", title = "High speed computation of group characters", journal = j-NUM-MATH, volume = "10", number = "5", pages = "446--450", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162877", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", acknowledgement = ack-nhfb, } @Article{Menzel:1967:AUA, author = "M. Menzel and N. Metropolis", title = "Algorithms in unnormalized arithmetic {II}. Unrestricted polynomial evaluation", journal = j-NUM-MATH, volume = "10", number = "5", pages = "451--462", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02162878", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 09:53:27 2007", acknowledgement = ack-nhfb, } @Article{Eberlein:1968:SEN, author = "P. J. Eberlein and J. Boothroyd", title = "Solution to the Eigenproblem by a Norm Reducing {Jacobi} Type Method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "1--12", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 327--338]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "eig; Jacobi-like; nla; nonsymmetric matrix; software", } @Article{McAllister:1968:PBD, author = "G. T. McAllister", title = "A priori bounds on difference quotients of solutions to some linear uniformly elliptic difference equations", journal = j-NUM-MATH, volume = "11", number = "1", pages = "13--37", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Anselone:1968:SCV, author = "P. M. Anselone and L. B. Rall", title = "The solution of characteristic value-vector problems by {Newton}'s method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "38--45", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Heller:1968:UPC, author = "S. Heller", title = "On the uniform positivity of a certain finite difference matrix", journal = j-NUM-MATH, volume = "11", number = "1", pages = "46--52", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schmidt:1968:AEK, author = "Jochen W. Schmidt", title = "{Asymptotische Einschlie{\ss}ung bei konvergenzbeschleunigenden Verfahren. II}. ({German}) [{Asymptotic enclosure with convergence acceleration method. II}]", journal = j-NUM-MATH, volume = "11", number = "1", pages = "53--56", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Forsythe:1968:ADD, author = "G. E. Forsythe", title = "On the asymptotic directions of the $s$-dimensional optimum gradient method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "57--76", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lynn:1968:NSS, author = "M. S. Lynn and W. P. Timlake", title = "The numerical solution of singular integral equations of potential theory", journal = j-NUM-MATH, volume = "11", number = "1", pages = "77--98", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Martin:1968:RSE, author = "R. S. Martin and J. H. Wilkinson", title = "Reduction of the Symmetric Eigenproblem {$Ax = \lambda Bx$} and Related Problems to Standard Form", journal = j-NUM-MATH, volume = "11", number = "2", pages = "99--110", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 303--314]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "geig; nla; software; symmetric matrix", } @Article{Pereyra:1968:IDC, author = "V. Pereyra", title = "Iterated deferred corrections for nonlinear boundary value problems", journal = j-NUM-MATH, volume = "11", number = "2", pages = "111--125", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Householder:1968:MCR, author = "A. S. Householder", title = "Moments and characteristic roots. {II}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "126--128", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", keywords = "eig; la; pert", } @Article{Bittner:1968:AVH, author = "L. Bittner", title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe von Dualit{\"a}tss{\"a}tzen. I}. ({German}) [{Bounds} of the Variational Method with the Aid of the Duality Principle. {I}]", journal = j-NUM-MATH, volume = "11", number = "2", pages = "129--143", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Mueller:1968:ELA, author = "H. N. M{\"u}ller", title = "{Zur Eindeutigkeit bei der linearen Approximation im allgemeinen sowie Tschebyscheffschen Fall}. ({German}) [{On} the Uniqueness of the Linear Approximation in General as Well as {Chebyshev} Cases]", journal = j-NUM-MATH, volume = "11", number = "2", pages = "144--150", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Werner:1968:NSS, author = "W. Werner", title = "Numerical solution of systems of quasilinear hyperbolic differential equations by means of the method of nebencharacteristics in combination with extrapolation methods", journal = j-NUM-MATH, volume = "11", number = "2", pages = "151--169", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kempfert:1968:SDR, author = "H. Kempfert", title = "On sign determinations in real algebraic number fields", journal = j-NUM-MATH, volume = "11", number = "2", pages = "170--174", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Apostolatos:1968:ALT, author = "N. Apostolatos and U. Kulisch and R. Krawczyk and B. Lortz and K. Nickel and H. W. Wippermann", title = "The algorithmic language {Triplex-ALGOL 60}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "175--180", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Martin:1968:HTS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "{Householder}'s tridiagonalization of a symmetric matrix", journal = j-NUM-MATH, volume = "11", number = "3", pages = "181--195", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 212--226]{Wilkinson:1971:LA}.", keywords = "eig; Householder transformation; nla; software; symmetric matrix; tridiagonal matrix", } @Article{Thomee:1968:EDE, author = "V. Thomee and B. Westergren", title = "Elliptic difference equations and interior regularity", journal = j-NUM-MATH, volume = "11", number = "3", pages = "196--210", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Yamamoto:1968:ECO, author = "T. Yamamoto", title = "On the eigenvalues of compact operators in a {Hilbert} space", journal = j-NUM-MATH, volume = "11", number = "3", pages = "211--219", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Krabs:1968:LOH, author = "Werner Krabs", title = "{Lineare Optimierung in halbgeordneten Vektorr{\"a}umen}. ({German}) [{Linear} Optimization in Half-Ordered Vector Spaces]", journal = j-NUM-MATH, volume = "11", number = "3", pages = "220--231", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Birkhoff:1968:PHI, author = "G. Birkhoff and M. H. Schultz and R. S. Varga", title = "Piecewise {Hermite} interpolation in one and two variables with applications to partial differential equations", journal = j-NUM-MATH, volume = "11", number = "3", pages = "232--256", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Meersman:1968:MG, author = "R. De Meersman", title = "The method of {Garabedian}", journal = j-NUM-MATH, volume = "11", number = "3", pages = "257--263", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Reinsch:1968:RTN, author = "C. Reinsch and F. L. Bauer", title = "Rational {$QR$} Transformation with {Newton} Shift for Symmetric Tridiagonal Matrices", journal = j-NUM-MATH, volume = "11", number = "3", pages = "264--272", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 257--272]{Wilkinson:1971:LA}.", keywords = "eig; nla; QR algorithm; software; symmetric matrix; tridiagonal Matrix", } @Article{Stroud:1968:SSD, author = "A. H. Stroud", title = "Some seventh degree integration formulas for the surface of an $n$-sphere", journal = j-NUM-MATH, volume = "11", number = "3", pages = "273--276", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Felsch:1968:UPB, author = "V. Felsch and J. Neub{\"u}ser", title = "{{\"U}ber ein Programm zu Berechnung der Automorphismengruppe einer endlichen Gruppe}. ({German}) [{On} a Program for Computation of the Automorphism Group of a Finite Group]", journal = j-NUM-MATH, volume = "11", number = "3", pages = "277--292", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bowdler:1968:ASM, author = "H. J. Bowdler and R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "The {$QR$} and {$LR$} Algorithms for Symmetric Matrices", journal = j-NUM-MATH, volume = "11", number = "4", pages = "293--306", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 227--240]{Wilkinson:1971:LA}.", keywords = "eig; nla; QR algorithm; software; symmetric matrix", } @Article{Kschwendt:1968:CLM, author = "H. Kschwendt", title = "Convergence limits in the {Monte Carlo} theory of integral equations", journal = j-NUM-MATH, volume = "11", number = "4", pages = "307--314", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Polya:1968:GME, author = "George Polya", title = "{Graeffe}'s method for eigenvalues", journal = j-NUM-MATH, volume = "11", number = "4", pages = "315--319", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Medley:1968:SIGa, author = "H. I. Medley and R. S. Varga", title = "On Smallest Isolated {Gerschgorin} Disks for Eigenvalues. {II}", journal = j-NUM-MATH, volume = "11", number = "4", pages = "320--323", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Dennis:1968:NLM, author = "J. E. {Dennis, Jr.}", title = "On {Newton}-like methods", journal = j-NUM-MATH, volume = "11", number = "4", pages = "324--330", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ciarlet:1968:NMHa, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {II}: Nonlinear boundary conditions", journal = j-NUM-MATH, volume = "11", number = "4", pages = "331--345", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nitsche:1968:KQO, author = "Joachim A. Nitsche", title = "{Ein Kriterium f{\"u}r die Quasi-Optimalit{\"a}t des Titzschen Verfahrens}. ({German}) [{A} Criterion for the Quasi-Optimality of {Titzche} Methods]", journal = j-NUM-MATH, volume = "11", number = "4", pages = "346--348", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Oliver:1968:NSL, author = "J. Oliver", title = "The numerical solution of linear recurrence relations", journal = j-NUM-MATH, volume = "11", number = "4", pages = "349--360", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Medley:1968:SIGb, author = "Helen I. Medley and Richard S. Varga", title = "On Smallest Isolated {Gerschgorin} Disks for Eigenvalues. {III}", journal = j-NUM-MATH, volume = "11", number = "5", pages = "361--369", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161884", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, keywords = "eig; Gerschgorin's theorem; la", } @Article{Gragg:1968:TEB, author = "William B. Gragg", title = "Truncation error bounds for $g$-fractions", journal = j-NUM-MATH, volume = "11", number = "5", pages = "370--379", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161885", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wendland:1968:BRI, author = "Wolfgang Wendland", title = "{Die Behandlung von Randwertaufgaben im $R_3$ mit Hilfe von Einfach- und Doppelschichtpotentialen}. ({German}) [{The} treatment of boundary-value problems in $R_3$ by simple and double blocking layer potentials]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "380--404", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161886", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Bode:1968:MUS, author = "Albert Bode", title = "{Matrizielle untere Schranken linearer Abbildungen und $M$-Matrizen}. ({German}) [{Matrix} lower bounds of linear transformations and $M$ Matrices]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "", month = jun, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Wood:1968:ENM, author = "W. L. Wood", title = "On an explicit numerical method for solving the biharmonic equation", journal = j-NUM-MATH, volume = "11", number = "5", pages = "413--426", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161888", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", acknowledgement = ack-nhfb, } @Article{Jeggle:1968:DKF, author = "Hansgeorg Jeggle", title = "{Zur Diskretisierung einer Klasse Fredholmscher Integralgleichungen mit singul{\~a}rem Wert der Ordnung $1$}. ({German}) [On the discretisation of a class of {Fredholm} integral equations with singular values of order $1$]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "427--443", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161889", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Kulisch:1968:RZM, author = "U. Kulisch", title = "{{\"U}ber regul{\"a}re Zerlegungen von Matrizen und einige Anwendungen}. ({German}) [{On} Regular Dismantlings of Stencils and Some Applications]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "444--449", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02161890", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:10:03 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Eckhardt:1968:EEW, author = "U. Eckhardt", title = "{Einige Eigenschaften Wilfscher Quadraturformeln}. ({German}) [{Some} Eigenvalues of the {Wilf} Quadrature Formula]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "1--7", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Dunham:1968:TRC, author = "C. B. Dunham", title = "Transformed rational {Chebyshev} approximation. {II}", journal = j-NUM-MATH, volume = "12", number = "1", pages = "8--10", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Watt:1968:CCS, author = "J. M. Watt", title = "Consistency, Convergence and Stability of General Discretizations of the Initial Value Problem", journal = j-NUM-MATH, volume = "12", number = "1", pages = "11--22", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Moore:1968:ANO, author = "R. H. Moore", title = "Approximations to nonlinear operator equations and {Newton}'s method", journal = j-NUM-MATH, volume = "12", number = "1", pages = "23--34", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hadeler:1968:NVI, author = "K. P. Hadeler", title = "{Newton-Verfahren f{\"u}r inverse Eigenwertaufgaben}. ({German}) [{Newton} Method for Inverse Eigenvalue Problems]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "35--39", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Pomentale:1968:DRL, author = "T. Pomentale", title = "On discrete rational least squares approximation", journal = j-NUM-MATH, volume = "12", number = "1", pages = "40--46", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Broyden:1968:SAC, author = "C. G. Broyden", title = "Some aspects of consistent ordering", journal = j-NUM-MATH, volume = "12", number = "1", pages = "47--56", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Brosowski:1968:RTA, author = "Bruno Brosowski and Josef Stoer", title = "{Zur rationalen Tschebyscheff-Approximation differenzierbarer und analytischer Funktionen}. ({German}) [{On} a rational {Chebyshev} approximation of differentiable and analytic functions]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "57--65", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:48:49 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Anselone:1968:GMC, author = "P. M. Anselone and P. J. Laurent", title = "A general method for the construction of interpolating or smoothing spline-functions", journal = j-NUM-MATH, volume = "12", number = "1", pages = "66--82", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Marshall:1968:SMA, author = "A. W. Marshall and I. Olkin", title = "Scaling of matrices to achieve specified row and column sums", journal = j-NUM-MATH, volume = "12", number = "1", pages = "83--90", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1968:FVG, author = "F. L. Bauer", title = "Fields of values and {Gershgorin} disks", journal = j-NUM-MATH, volume = "12", number = "2", pages = "91--95", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Zenger:1968:CPB, author = "C. Zenger", title = "On convexity properties of the {Bauer} field of values of a matrix", journal = j-NUM-MATH, volume = "12", number = "2", pages = "96--105", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Maitre:1968:CNA, author = "J. F. Ma{\^\i}tre", title = "Sur une classe de normes et l'analyse a posteriori d'un syst{\`e}me lin{\'e}aire. ({French}) [{On} a Class of Norms and the {A} Posteriori Analysis of a Linear System ]", journal = j-NUM-MATH, volume = "12", number = "2", pages = "106--110", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Ghizzetti:1968:PCQ, author = "A. Ghizzetti", title = "Procedure for constructing quadrature formulae on infinite intervals", journal = j-NUM-MATH, volume = "12", number = "2", pages = "111--119", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ciarlet:1968:NMHb, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {III}: {Eigenvalue} problems", journal = j-NUM-MATH, volume = "12", number = "2", pages = "120--133", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", acknowledgement = ack-nhfb, } @Article{Wets:1968:TAC, author = "R. J. B. Wets and C. Witzgall", title = "Towards an algebraic characterization of convex polyhedral cones", journal = j-NUM-MATH, volume = "12", number = "2", pages = "134--138", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stetter:1968:INM, author = "H. J. Stetter", title = "Instability and non-monotonicity phenomena in discretizations to boundary value problems", journal = j-NUM-MATH, volume = "12", number = "2", pages = "139--145", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stoer:1968:LBM, author = "J. Stoer", title = "Lower bounds of matrices", journal = j-NUM-MATH, volume = "12", number = "2", pages = "146--158", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Neckermann:1968:UAD, author = "L. Neckermann and P. O. Runck", title = "{{\"U}ber Approximationseigenschaften differenzierter Lagrangescher Interpolationspolynome mit Jacobischen Abszissen}. ({German}) [{On} Approximate Eigenvalues of Differentiated {Lagrangian} Interpolation Polynomials with {Jacobian} Abscissas]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "159--169", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Roark:1968:EDI, author = "A. L. Roark and L. F. Shampine", title = "On the eigenproblem for displacement integral equations", journal = j-NUM-MATH, volume = "12", number = "3", pages = "170--179", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gourlay:1968:HAD, author = "A. R. Gourlay and A. R. Mitchell", title = "High accuracy {A.D.I.} methods for parabolic equations with variable coefficients", journal = j-NUM-MATH, volume = "12", number = "3", pages = "180--185", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Brown:1968:NLI, author = "K. M. Brown and J. E. {Dennis, Jr.}", title = "On {Newton}-Like Iteration Functions: General Convergence Theorems and a Specific Algorithm", journal = j-NUM-MATH, volume = "12", number = "3", pages = "186--191", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, keywords = "Newton's method; nlop", } @Article{Atteia:1968:FSD, author = "M. Atteia", title = "Fonctions `spline' d{\'e}finies sur un ensemble convexe. ({French}) [{Spline} Functions Defined on a Convex Set]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "192--210", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Forster:1968:BIS, author = "Peter Forster", title = "{Bemerkungen zum Iterationsverfahren von Schulz zur Bestimmung der Inversen einer Matrix}. ({German}) [{Remarks} on {Schulz}'s iterative method for computing the inverse of a matrix]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "211--214", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bernal:1968:GTC, author = "M. J. M. Bernal and J. H. Verner", title = "On Generalizations of the Theory of Consistent Orderings for Successive Over-Relaxation Methods", journal = j-NUM-MATH, volume = "12", number = "3", pages = "215--222", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", annote = "Cited in \cite{govl:89}.", keywords = "iter; linear system; nla; relaxation", } @Article{Kreiss:1968:NSS, author = "H. O. Kreiss", title = "On the numerical solution of the spherically symmetric diffusion equation", journal = j-NUM-MATH, volume = "12", number = "3", pages = "223--225", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Manav:1968:FAV, author = "M. Manav and J. Nedoma", title = "Finding all vertices of a convex polyhedron", journal = j-NUM-MATH, volume = "12", number = "3", pages = "226--229", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Graphics/siggraph/pre75.bib", oldlabel = "geom-397", } @Article{Cody:1968:CRC, author = "W. J. Cody", title = "Corrigendum: ``{Rational Chebyshev} approximations using interpolation''", journal = j-NUM-MATH, volume = "12", number = "3", pages = "230--230", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Sep 27 17:57:49 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib", note = "See \cite{Cody:1966:RCA}.", acknowledgement = ack-nhfb, } @Article{Schwarz:1968:TSB, author = "H. R. Schwarz", title = "Tridiagonalization of a symmetric band matrix", journal = j-NUM-MATH, volume = "12", number = "4", pages = "231--241", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", note = "Also in \cite[pp. 273--283]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, } @Article{Cody:1968:RCA, author = "W. J. Cody and W. Fraser and J. F. Hart", title = "Rational {Chebyshev} approximation using linear equations", journal = j-NUM-MATH, volume = "12", number = "4", pages = "242--251", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib", acknowledgement = ack-nhfb, } @Article{Lyness:1968:CSI, author = "J. N. Lyness", title = "The calculation of {Stieltjes} integral", journal = j-NUM-MATH, volume = "12", number = "4", pages = "252--265", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ciarlet:1968:NMHc, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {IV}: {Periodic} boundary conditions", journal = j-NUM-MATH, volume = "12", number = "4", pages = "266--279", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", acknowledgement = ack-nhfb, } @Article{Osborne:1968:NSP, author = "M. R. Osborne", title = "The numerical solution of a periodic parabolic problem subject to a nonlinear boundary condition. {II}", journal = j-NUM-MATH, volume = "12", number = "4", pages = "280--287", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Heesterman:1968:SSA, author = "A. R. G. Heesterman", title = "Special simplex algorithm for multi-sector problems", journal = j-NUM-MATH, volume = "12", number = "4", pages = "288--306", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Walter:1968:LNP, author = "W. Walter", title = "{Die Linienmethode bei nichtlinearen parabolischen Differentialgleichungen}. ({German}) [{The} Line Method for Nonlinear Parabolic Differential Equations]", journal = j-NUM-MATH, volume = "12", number = "4", pages = "307--321", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Keast:1968:TBV, author = "P. Keast", title = "The third boundary value problem for elliptic equations", journal = j-NUM-MATH, volume = "12", number = "4", pages = "322--326", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Karamardian:1968:ESC, author = "S. Karamardian", title = "Existence of solutions of certain systems of nonlinear inequalities", journal = j-NUM-MATH, volume = "12", number = "4", pages = "327--334", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Cryer:1968:PSG, author = "C. W. Cryer", title = "Pivot Size in {Gaussian} Elimination", journal = j-NUM-MATH, volume = "12", number = "4", pages = "335--345", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } @Article{Businger:1968:MWC, author = "P. A. Businger", title = "Matrices Which Can Be Optimally Scaled", journal = j-NUM-MATH, volume = "12", number = "4", pages = "346--348", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Martin:1968:SRG, author = "R. S. Martin and J. H. Wilkinson", title = "Similarity Reduction of a General Matrix to {Hessenberg} Form", journal = j-NUM-MATH, volume = "12", number = "5", pages = "349--368", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 339--358]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "eig; Hessenberg matrix; nla; nonsymmetric matrix; software", } @Article{Martin:1968:MAC, author = "R. S. Martin and J. H. Wilkinson", title = "The Modified {$LR$} Algorithm for Complex {Hessenberg} Matrices", journal = j-NUM-MATH, volume = "12", number = "5", pages = "369--376", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 396--403]{Wilkinson:1971:LA}.", keywords = "complex matrix; eig; Hessenberg matrix; LR algorithm; nla; software", } @Article{Martin:1968:IA, author = "R. S. Martin and J. H. Wilkinson", title = "The Implicit {$QL$} Algorithm", journal = j-NUM-MATH, volume = "12", number = "5", pages = "377--383", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp.~241--248]{Wilkinson:1971:HAC}, where A. A. Dubrulle and is listed as the lead author.", keywords = "eig; nla; QL algorithm; QR algorithm; software; tridiagonal matrix", } @Article{Barnhill:1968:APM, author = "R. E. Barnhill", title = "Asymptotic properties of minimum norm and optimal quadratures", journal = j-NUM-MATH, volume = "12", number = "5", pages = "384--393", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Zlamal:1968:FEM, author = "M. Zlamal", title = "On the finite element method", journal = j-NUM-MATH, volume = "12", number = "5", pages = "394--409", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Shampine:1968:EBV, author = "L. F. Shampine", title = "Error bounds and variational methods for nonlinear boundary value problems", journal = j-NUM-MATH, volume = "12", number = "5", pages = "410--415", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Fraser:1968:AUA, author = "M. Fraser and N. Metropolis", title = "Algorithms in unnormalized arithmetic. {III}: {Matrix} inversion", journal = j-NUM-MATH, volume = "12", number = "5", pages = "416--428", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Loizou:1968:MCS, author = "G. Loizou", title = "On matrices with a checkerboard sign distribution", journal = j-NUM-MATH, volume = "12", number = "5", pages = "429--430", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Noltemeier:1968:A, author = "H. Noltemeier and M. Ost", title = "{Zum Auswahlproblem}. ({German}) [{On} the Selection Problem]", journal = j-NUM-MATH, volume = "12", number = "5", pages = "431--434", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Goel:1968:CBF, author = "J.-J. Go{\"e}l", title = "Construction of basic functions for numerical utilisation of {Ritz}'s method", journal = j-NUM-MATH, volume = "12", number = "5", pages = "435--447", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bauer:1969:ROS, author = "F. L. Bauer", title = "Remarks on Optimally Scaled Matrices", journal = j-NUM-MATH, volume = "13", number = "1", pages = "1--3", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rutishauser:1969:CAF, author = "H. Rutishauser", title = "Computational aspects of {F. L. Bauer}'s simultaneous iteration method", journal = j-NUM-MATH, volume = "13", number = "1", pages = "4--13", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Verner:1969:OSI, author = "J. H. Verner", title = "The Order of Some Implicit {Runge-Kutta} Methods", journal = j-NUM-MATH, volume = "13", number = "1", pages = "14--23", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Verner:1969:ENG, author = "J. H. Verner", title = "{Einschlie{\ss}ungssa{\"a}tze bei nichtlinearen gew{\"o}nlichen Randwertaufgaben und erzwungene Schwingungen}. ({German}) [{Enclosure} Principles for Nonlinear Ordinary Boundary Value Problems and Forced Vibrations]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "24--38", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Ade:1969:IHO, author = "H. Ade", title = "{Iterationsverfahren h{\"o}herer Ordnung in Banach-R{\"a}umen}. ({German}) [{Iteration} Methods of Higher-Order in {Banach} Spaces]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "39--50", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Ciarlet:1969:NMH, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {V}: Monotone Operator Theory", journal = j-NUM-MATH, volume = "13", number = "1", pages = "51--77", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Natterer:1969:EGE, author = "Frank Natterer", title = "{Einschlie{\ss}ungen f{\"u}r die gro{\ss}en Eigenwerte gew{\"o}nlicher Differentialgleichungen zweiter und vierter Ordnung}. ({German}) [{Bounds for the large eigenvalues of second- and fourth-order ordinary differential equations}]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "78--93", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Ehresmann:1969:ABA, author = "D. Ehresmann", title = "{Zur Absch{\"a}tzung des Bestapproximationsfehlers bei der Approximation differenzierbarer Funktionen durch Polynome}. ({German}) [{Toward} Approximation of Best Approximation Errors for the Approximation of Differentiable Functions by Polynomials]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "94--100", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bramble:1969:CDA, author = "J. H. Bramble", title = "On the convergence of difference approximations to weak solutions of {Dirichlet}'s problem", journal = j-NUM-MATH, volume = "13", number = "2", pages = "101--111", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Werner:1969:UZI, author = "H. Werner and Dietrich Braess", title = "{{\"U}ber den Zusammenhang von Interpolation und diskreter $T$-Approximation mit rationalen Funktionen}. ({German}) [{On} the Coherence of Interpolation and Discrete {$T$} Approximation with Rational Functions]", journal = j-NUM-MATH, volume = "13", number = "2", pages = "112--128", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Anderssen:1969:NSP, author = "R. S. Anderssen", title = "The numerical solution of parabolic differential equations using variational methods", journal = j-NUM-MATH, volume = "13", number = "2", pages = "129--145", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Sreedharan:1969:SOL, author = "V. P. Sreedharan", title = "Solutions of overdetermined linear equations which minimize error in an abstract norm", journal = j-NUM-MATH, volume = "13", number = "2", pages = "146--151", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Osborn:1969:NPT, author = "J. E. Osborn", title = "A note on a perturbation theorem for the matrix eigenvalue problem", journal = j-NUM-MATH, volume = "13", number = "2", pages = "152--153", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stiefel:1969:SCM, author = "E. Stiefel and D. G. Bettis", title = "Stabilization of {Cowell}'s method", journal = j-NUM-MATH, volume = "13", number = "2", pages = "154--175", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Squier:1969:OSM, author = "D. P. Squier", title = "One-step methods for ordinary differential equations", journal = j-NUM-MATH, volume = "13", number = "2", pages = "176--179", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Perrin:1969:HON, author = "F. M. Perrin and H. S. Price and R. S. Varga", title = "On higher-order numerical methods for nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "13", number = "2", pages = "180--198", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Osborne:1969:EBA, author = "M. R. Osborne and G. A. Watson", title = "On estimating best approximations of functions defined by differential equations", journal = j-NUM-MATH, volume = "13", number = "3", pages = "199--206", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 10:06:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Marek:1969:RSC, author = "I. Marek", title = "On the row sum criterion and the convergence of some iterative processes", journal = j-NUM-MATH, volume = "13", number = "3", pages = "207--216", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 11:19:17 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ansorge:1969:KDQ, author = "Rainer Ansorge", title = "{Konvergenz von Differenzenverfahren f{\"u}r quasilineare Anfangswertaufgaben}. ({German}) [{Convergence} of Difference Methods for Quasilinear Initial Value Problems]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "217--225", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 12:49:00 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bohl:1969:UFN, author = "Erich Bohl", title = "{{\"U}ber Fehlerabsch{\"a}tzungen bei nichtlinearen Operatorgleichungen}. ({German}) [{On} Error Bounds for Nonlinear Operator Equations]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "226--237", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 15:28:40 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Johnson:1969:UAV, author = "L. W. Johnson", title = "Uniform approximation of vector-valued functions", journal = j-NUM-MATH, volume = "13", number = "3", pages = "238--244", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 16:10:24 MDT 1999", acknowledgement = ack-nhfb, } @Article{Elsner:1969:BAM, author = "L. Elsner", title = "{Bemerkung zu einer Arbeit von Marshall und Olkin}. ({German}) [{Remark} on a paper of {Marshall} and {Olkin}]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "245--246", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu Feb 22 18:42:15 2001", acknowledgement = ack-nhfb, language = "German", } @Article{Pattabhiraman:1969:SPP, author = "M. V. Pattabhiraman and P. Lancaster", title = "Spectral properties of a polynomial operator", journal = j-NUM-MATH, volume = "13", number = "3", pages = "247--259", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:10:40 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nitsche:1969:VRS, author = "Joachim A. Nitsche", title = "{Verfahren von Ritz und Spline-Interpolation bei Sturm-Liouville-Randwertproblemen}. ({German}) [{Ritz methods and spline interpolation of Sturm-Liouville boundary value problems}]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "260--265", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Bulirsch:1969:EBT, author = "R. Bulirsch", title = "An extension of the {Bartky}-transformation to incomplete elliptic integrals of the third kind", journal = j-NUM-MATH, volume = "13", number = "3", pages = "266--284", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hadeler:1969:EAM, author = "K. P. Hadeler", title = "{Einige Anwendungen mehrparametriger Eigenwertaufgaben}. ({German}) [{Some} Uses of Extra Parametrized Eigenvalue Problems]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "285--292", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Parlett:1969:BMC, author = "B. N. Parlett and C. Reinsch", title = "Balancing a matrix for calculation of eigenvalues and eigenvectors", journal = j-NUM-MATH, volume = "13", number = "4", pages = "293--304", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 315--326]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, keywords = "eig; nla; scaling; software", } @Article{Bulirsch:1969:NCE, author = "R. Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions. {III}", journal = j-NUM-MATH, volume = "13", number = "4", pages = "305--315", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Rainey:1969:CST, author = "J. W. Rainey", title = "On comparatively stable tridiagonalization methods", journal = j-NUM-MATH, volume = "13", number = "4", pages = "316--322", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Razelos:1969:AAS, author = "P. Razelos", title = "On the accuracy of the analog solution of heat conduction problems involving {Newtonian} cooling", journal = j-NUM-MATH, volume = "13", number = "4", pages = "323--333", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Nitsche:1969:ISF, author = "J. Nitsche", title = "{Interpolation in Sobolevschen Funktionenr{\"a}umen}. ({German}) [{Interpolation} in {Sobolev} function spaces]", journal = j-NUM-MATH, volume = "13", number = "4", pages = "334--343", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Dirschmid:1969:BAG, author = "H. Dirschmid", title = "{Bemerkungen zu einer Arbeit von G. Polya zur Bestimmung der Nullstellen ganzer Funktionen}. ({German}) [{Comment} on a work by {G. Polya} for Determining Zeros of Real Functions]", journal = j-NUM-MATH, volume = "13", number = "4", pages = "344--348", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Soukup:1969:MFR, author = "J. Soukup", title = "A method for finding the roots of a polynomial", journal = j-NUM-MATH, volume = "13", number = "4", pages = "349--353", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Strassen:1969:GEO, author = "V. Strassen", title = "{Gaussian} Elimination is Not Optimal", journal = j-NUM-MATH, volume = "13", number = "4", pages = "354--356", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Davis:1969:NIL, author = "J. Davis and J. J. Jacoby", title = "Numerical integration of linear integral equations with mild discontinuity", journal = j-NUM-MATH, volume = "13", number = "4", pages = "357--361", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stewart:1969:AOI, author = "G. W. Stewart", title = "Accelerating the orthogonal iteration for the eigenvectors of a {Hermitian} matrix", journal = j-NUM-MATH, volume = "13", number = "4", pages = "362--376", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Taylor:1969:GSR, author = "P. J. Taylor", title = "A generalisation of systematic relaxation methods for consistently ordered matrices", journal = j-NUM-MATH, volume = "13", number = "5", pages = "377--395", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hadjidimos:1969:SHA, author = "A. Hadjidimos", title = "On some high accuracy difference schemes for solving elliptic equations", journal = j-NUM-MATH, volume = "13", number = "5", pages = "396--403", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bareiss:1969:NSL, author = "Erwin H. Bareiss", title = "Numerical Solution of Linear Equations with {Toeplitz} and Vector {Toeplitz} Matrices", journal = j-NUM-MATH, volume = "13", number = "5", pages = "404--424", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/chirplet.bib", acknowledgement = ack-nhfb, } @Article{Nichols:1969:GCO, author = "N. K. Nichols and L. Fox", title = "Generalised consistent ordering and the optimum successive overrelaxation factor", journal = j-NUM-MATH, volume = "13", number = "5", pages = "425--433", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Natterer:1969:NBS, author = "Frank Natterer", title = "{Numerische Behandlung singul{\"a}rer Sturm-Liouville-Probleme}. ({German}) [{Numerical treatment of singular Sturm-Liouville problems}]", journal = j-NUM-MATH, volume = "13", number = "5", pages = "434--447", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Symm:1969:CMD, author = "G. T. Symm", title = "Conformal mapping of doubly-connected domains", journal = j-NUM-MATH, volume = "13", number = "5", pages = "448--457", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Stewart:1969:SIF, author = "G. W. Stewart", title = "Some iterations for factoring a polynomial", journal = j-NUM-MATH, volume = "13", number = "5", pages = "458--471", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", } %%% Issue numbers, but still no months, first appeared with volume 14 %%% (1969). @Article{Lyness:1969:GRM, author = "J. N. Lyness and C. B. Moler", title = "Generalized {Romberg} methods for integrals of derivatives", journal = j-NUM-MATH, volume = "14", number = "1", pages = "1--13", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{vanderSluis:1969:CNE, author = "A. {van der Sluis}", title = "Condition Numbers and Equilibration of Matrices", journal = j-NUM-MATH, volume = "14", number = "1", pages = "14--23", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", keywords = "condition; lsq; nla; pert; scaling", } @Article{Hoffman:1969:TNT, author = "K. H. Hoffman", title = "{Zur Theorie der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen}. ({German}) [{Toward} a Theory of Nonlinear {Chebyshev} Approximation with Constraints]", journal = j-NUM-MATH, volume = "14", number = "1", pages = "24--41", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Zlamal:1969:SFE, author = "M. Zlamal", title = "On some finite element procedures for solving second order boundary value problems", journal = j-NUM-MATH, volume = "14", number = "1", pages = "42--48", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Marek:1969:NBS, author = "Ivo Marek and Richard S. Varga", title = "Nested bounds for the spectral radius", journal = j-NUM-MATH, volume = "14", number = "1", pages = "49--70", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Taylor:1969:AFH, author = "G. D. Taylor", title = "Approximation by functions having restricted ranges: {Equality} case", journal = j-NUM-MATH, volume = "14", number = "1", pages = "71--78", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{vanWijngaarden:1969:RAL, author = "A. {van Wijngaarden} and B. J. Mailloux and J. E. L. Peck and C. H. A. Koster", title = "Report on the Algorithmic Language {ALGOL 68}", journal = j-NUM-MATH, volume = "14", number = "2", pages = "79--218", month = dec, year = "1969", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF02163002", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri Oct 31 15:47:50 2003", URL = "http://www.fh-jena.de/~kleine/history/languages/Algol68-Report.pdf; http://www.fh-jena.de/~kleine/history/languages/Algol68-RevisedReport.pdf", acknowledgement = ack-nhfb, } @Article{Martin:1970:ARH, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "The {$QR$} Algorithm for real {Hessenberg} matrices", journal = j-NUM-MATH, volume = "14", number = "3", pages = "219--231", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:21:29 1997", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 359--371]{Wilkinson:1971:LA}.", keywords = "eig; Hessenberg matrix; nla; QR algorithm; software", } @Article{Eberlein:1970:SCE, author = "P. Eberlein", title = "Solution to the complex eigenproblem by a norm reducing {Jacobi} type method", journal = j-NUM-MATH, volume = "14", number = "3", pages = "232--245", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:21:59 1997", bibsource = "Parallel/par.lin.alg.bib", note = "Also in \cite[pp. 404--417]{Wilkinson:1971:LA}.", } @Article{vanderSluis:1970:SSL, author = "A. {van der Sluis}", title = "Stability of Solutions of Linear Algebraic Systems", journal = j-NUM-MATH, volume = "14", number = "3", pages = "246--251", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:22:11 1997", } @Article{Jenkins:1970:TSV, author = "M. A. Jenkins and J. F. Traub", title = "A three-stage variable-shift iteration for polynomial zeros and its relation to generalized {Rayleigh} iteration", journal = j-NUM-MATH, volume = "14", number = "3", pages = "252--263", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bosarge:1970:IDM, author = "W. E. {Bosarge, Jr.} and P. L. Falb", title = "Infinite dimensional multipoint methods and the solution of two point boundary value problems", journal = j-NUM-MATH, volume = "14", number = "3", pages = "264--286", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", acknowledgement = ack-nhfb, } @Article{Borsch-Supan:1970:RPN, author = "W. B{\"o}rsch-Supan", title = "{Residuenabsch{\"a}tzung f{\"u}r Polynom-Nullstellen mittels Lagrange-Interpolation}. ({German}) [{Residue} Bounds for Polynomial Zeros through {Lagrange} Interpolation]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "287--296", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:23:14 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Davis:1970:TY, author = "C. Davis", title = "On a theorem of {Yamamoto}", journal = j-NUM-MATH, volume = "14", number = "3", pages = "297--298", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:25:04 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schonhage:1970:MRI, author = "A. Sch{\"o}nhage", title = "{Mehrdimensionale Romberg-Integration}. ({German}) [{Multidimensional Romberg} Integration]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "299--304", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:29:30 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Barrar:1970:CMN, author = "Richard B. Barrar and Henry L. Loeb", title = "On the convergence in measure of non-linear {Chebyshev} approximations", journal = j-NUM-MATH, volume = "14", number = "3", pages = "305--312", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:29:53 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lode:1970:NNE, author = "K. Lode", title = "{Zum neuen Norm Entwurf DIN 1333 Abbrechen und Runden von Dezimalzahlen}. ({German}) [{Toward} a New Standard Design {DIN 1333} Calculation and Rounding in Decimal Numbers]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "313--316", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:30:54 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Christiansen:1970:NSO, author = "J. Christiansen", title = "Numerical solution of ordinary simultaneous differential equations of the $1$st order using a method for automatic step change", journal = j-NUM-MATH, volume = "14", number = "4", pages = "317--324", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:34:00 MDT 1999", acknowledgement = ack-nhfb, } @Article{Pietrzykowski:1970:PMC, author = "Tomasz Pietrzykowski", title = "The potential method for conditional maxima in the locally compact metric spaces", journal = j-NUM-MATH, volume = "14", number = "4", pages = "325--329", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Guenther:1970:NCF, author = "R. B. Guenther and E. L. Roetman", title = "{Newton-Cotes} formulae in $n$-dimensions", journal = j-NUM-MATH, volume = "14", number = "4", pages = "330--345", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Natterer:1970:SEG, author = "F. Natterer", title = "{Schranken f{\"u}r die Eigenwerte gew{\"o}hnlicher Differentialgleichungen durch Spline-Approximation}. ({German}) [{Bounds} for the Eigenvalue of Ordinary Differential Equations by Spline Approximation]", journal = j-NUM-MATH, volume = "14", number = "4", pages = "346--354", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Jamet:1970:CFD, author = "P. Jamet", title = "On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems", journal = j-NUM-MATH, volume = "14", number = "4", pages = "355--378", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, } @Article{Fair:1970:PAO, author = "W. Fair and Y. L. Luke", title = "{Pad{\'e}} approximations to the operator exponential", journal = j-NUM-MATH, volume = "14", number = "4", pages = "379--382", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hoffmann:1970:NTA, author = "K. H. Hoffmann", title = "{Nichtlineare Tschebyscheff-Approximation mit Nebenbedingungen: Anwendungen}. ({German}) [{Nonlinear Chebyshev} Approximation with Constraints: Use]", journal = j-NUM-MATH, volume = "14", number = "4", pages = "383--393", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:23:14 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Zlamal:1970:FEP, author = "M. Zlamal", title = "A finite element procedure of the second order of accuracy", journal = j-NUM-MATH, volume = "14", number = "4", pages = "394--402", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:35:04 MDT 1999", acknowledgement = ack-nhfb, } @Article{Golub:1970:SVD, author = "G. H. Golub and C. Reinsch", title = "Singular Value Decomposition and Least Squares Solutions", journal = j-NUM-MATH, volume = "14", number = "5", pages = "403--420", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:25:01 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 134--151]{Wilkinson:1971:LA}.", keywords = "lsq; nla; rank determination; regularization; software; svd", } @Article{Shah:1970:TDP, author = "J. M. Shah", title = "Two-dimensional polynomial splines", journal = j-NUM-MATH, volume = "15", number = "1", pages = "1--14", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Grigorieff:1970:KRE, author = "Rolf Dieter Grigorieff", title = "{Die Konvergenz des Rand- und Eigenwertproblems linearer gew{\"o}hnlicher Differenzengleichungen}. ({German}) [{The convergence of boundary- and eigenvalue problems of linear difference equations}]", journal = j-NUM-MATH, volume = "15", number = "1", pages = "15--48", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Rund:1970:RCB, author = "H. Rund", title = "The reduction of certain boundary problems to variational problems by means of transversality conditions", journal = j-NUM-MATH, volume = "15", number = "1", pages = "49--56", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ruhe:1970:PMV, author = "A. Ruhe", title = "Properties of a matrix with a very ill-conditioned eigenproblem", journal = j-NUM-MATH, volume = "15", number = "1", pages = "57--60", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib", acknowledgement = ack-nhfb, } @Article{Stoss:1970:MED, author = "Hanns-J{\"o}rg Sto{\ss}", title = "{Monotonie-Eigenschaften bei Differentialungleichungen {\"u}ber nichtkompaktem Grundbereich}. ({German}) [{Monotone} Eigenvalues of Differential Equations over Noncompact Fields]", journal = j-NUM-MATH, volume = "15", number = "1", pages = "61--73", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{vanderSluis:1970:CEP, author = "A. {van der Sluis}", title = "Condition, Equilibration and Pivoting in Linear Algebraic Systems", journal = j-NUM-MATH, volume = "15", number = "1", pages = "74--86", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:25:09 1997", bibsource = "Theory/Matrix.bib", keywords = "condition; linear system; nla; pert; pivoting", } @Article{Ciarlet:1970:NMH, author = "P. G. Ciarlet and F. Natterer and R. S. Varga", title = "Numerical methods of high-order accuracy for singular nonlinear boundary value problems", journal = j-NUM-MATH, volume = "15", number = "2", pages = "87--99", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:39:36 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schroeder:1970:PIP, author = "J. Schroeder", title = "Proving inverse-positivity of linear operators by reduction", journal = j-NUM-MATH, volume = "15", number = "2", pages = "100--108", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:40:25 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schaefke:1970:AEI, author = "F. W. Schaefke", title = "{Zum Anwendungsbereich einiger Iterationsverfahren}. ({German}) [{On} the Application of an Iteration Scheme]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "109--121", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:40:55 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Wetterling:1970:DRE, author = "W. Wetterling", title = "{Definitheitsbedingungen f{\"u}r relative Extrema bei Optimierungs- und Approximationsaufgaben}. ({German}) [{Definiteness} Conditions for Relative Extrema in Optimization and Approximation Problems]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "122--136", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:41:17 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Laurent:1970:GAC, author = "P. J. Laurent and Pham-Dinh-Tuan", title = "Global approximation of a compact set by elements of a convex set in a normed space", journal = j-NUM-MATH, volume = "15", number = "2", pages = "137--150", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:42:32 MDT 1999", acknowledgement = ack-nhfb, } @Article{Urabe:1970:IOS, author = "M. Urabe", title = "An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "15", number = "2", pages = "151--164", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:43:31 MDT 1999", acknowledgement = ack-nhfb, } @Article{Ehlich:1970:KMI, author = "H. Ehlich and W. Haussmann", title = "{Konvergenz mehrdimensionaler Interpolation}. ({German}) [{Convergence} of Multidimensional Interpolation]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "165--174", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:45:45 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Doring:1970:TVB, author = "Boro D{\"o}ring", title = "{Das Tschebyscheff-Verfahren in Banach-R{\"a}umen}. ({German}) [{Chebyshev's method in Banach spaces}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "175--195", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:35 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Inst. Technic. Hochschule Darmstadt, West Germany", keywords = "Chebyshev approximation; nonlinear equations", language = "German", } @Article{Grigorieff:1970:KGD, author = "Rolf Dieter Grigorieff", title = "{{\"U}ber die Koerzitivit{\"a}t gew{\"o}nlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren}. ({German}) [{On the coerciveness of ordinary difference operators and the convergence of multistep methods}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "196--218", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:45:38 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Frankfurt, West Germany", keywords = "convergence of numerical methods; difference equations", language = "German", } @Article{Schaefer:1970:ANE, author = "H. H. Schaefer", title = "{Eine Absch{\"a}tzung der nichttrivialen Eigenwerte stochastischer Matrizen}. ({German}) [{An} Approximation of Nontrivial Eigenvalues of Stochastic Matrices]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "219--223", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Nitsche:1970:KNB, author = "J. Nitsche", title = "{Zur Konvergenz von N{\"a}herungsverfahren bez{\"u}glich verschiedener Normen}. ({German}) [{On the convergence of approximation processes with respect to various norms}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "224--228", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 21:49:47 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", keywords = "convergence of numerical methods; function approximation; linear algebra", language = "German", } @Article{Martensen:1970:RGQ, author = "E. Martensen", title = "{Zur Restglieddartstellung der Gregoryschen Quadraturformel ungerader Ordnung}. ({German}) [{On the representation of the remainder of the {Gregory} quadrature formula of an odd series}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "229--233", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:03:36 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", keywords = "integration; numerical analysis", language = "German", } @Article{Miklosko:1970:APC, author = "J. Miklosko", title = "Asymptotic properties and the convergence of numerical quadratures", journal = j-NUM-MATH, volume = "15", number = "3", pages = "234--249", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Slovak Acad. Sci., SSSR, USSR", keywords = "convergence of numerical methods; integration; interpolation", } @Article{vanderSluis:1970:URP, author = "A. {van der Sluis}", title = "Upperbounds for roots of polynomials", journal = j-NUM-MATH, volume = "15", number = "3", pages = "250--262", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", keywords = "nonlinear equations; numerical methods; poles and zeros; polynomials", } @Article{Schmidt:1970:LMN, author = "Jochen W. Schmidt and K. Vetters", title = "{Ableitsungfreie Verfahren f{\"u}r nichtlineare Optimierungsprobleme}. ({German}) [{Lossless method for nonlinear optimization problem}]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "263--282", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:05:21 1997", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dresden, East Germany", keywords = "interpolation; nonlinear programming; optimisation", language = "German", } @Article{Zenisek:1970:IPT, author = "A. Zenisek", title = "Interpolation polynomials on the triangle", journal = j-NUM-MATH, volume = "15", number = "4", pages = "283--296", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Brno, Czechoslovakia", keywords = "interpolation; polynomials", } @Article{Stallmann:1970:NSI, author = "F. W. Stallmann", title = "Numerical solution of integral equations", journal = j-NUM-MATH, volume = "15", number = "4", pages = "297--305", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. Tennessee, TN, USA", keywords = "integral equations; numerical methods", } @Article{Stewart:1970:SIF, author = "G. W. Stewart", title = "On {Samelson}'s iteration for factoring polynomials", journal = j-NUM-MATH, volume = "15", number = "4", pages = "306--314", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", keywords = "iterative methods; polynomials", } @Article{Baker:1970:EPI, author = "C. T. H. Baker", title = "The error in polynomial interpolation", journal = j-NUM-MATH, volume = "15", number = "4", pages = "315--319", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Manchester, UK", keywords = "error analysis; interpolation; polynomials", } @Article{Rakotch:1970:EEN, author = "E. Rakotch and J. Steinberg", title = "Error estimate for the numerical solution of {Fredholm}'s integral equation", journal = j-NUM-MATH, volume = "15", number = "4", pages = "320--328", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. Computer Sci., Haifa, Israel", keywords = "error analysis; integral equations; numerical methods", } @Article{vonFinckenstein:1970:PWM, author = "K. Graf Finck von Finckenstein", title = "{Potenzbeschr{\"a}nktheit und Wertebereich einer Matrix}. ({German}) [{Potency} Limitation and Ranges of a Matrix]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "329--332", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Lyness:1970:RTD, author = "J. N. Lyness and B. J. J. McHugh", title = "On the remainder term in the {$N$}-dimensional {Euler Maclaurin} expansion", journal = j-NUM-MATH, volume = "15", number = "4", pages = "333--344", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Argonne Nat. Lab., IL, USA", keywords = "integration", } @Article{deOliveira:1970:NIC, author = "G. N. de Oliveira", title = "Note on an inverse characteristic value problem", journal = j-NUM-MATH, volume = "15", number = "4", pages = "345--347", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Marsal:1970:ELI, author = "D. Marsal", title = "{Eingabelung der L{\"o}sungen von Integralgleichungen}. ({German}) [{Bifurcation} of solutions of integral equations]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "348--350", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Mangasarian:1970:CSM, author = "O. L. Mangasarian", title = "A convergent splitting of matrices", journal = j-NUM-MATH, volume = "15", number = "4", pages = "351--353", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Wisconsin, WI, USA", keywords = "convergence of numerical methods; matrix algebra", } @Article{Luther:1970:OCF, author = "H. A. Luther and H. G. Sierra", title = "On the optimal choice of fourth-order {Runge-Kutta} formulas", journal = j-NUM-MATH, volume = "15", number = "4", pages = "354--358", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Texas A and M Univ., TX, USA", keywords = "differential equations; numerical methods; optimisation; stability", } @Article{Lucas:1970:GS, author = "T. R. Lucas", title = "A generalization of {$L$}-splines", journal = j-NUM-MATH, volume = "15", number = "5", pages = "359--370", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", keywords = "differentiation; splines (mathematics)", } @Article{Descloux:1970:NIH, author = "J. Descloux", title = "On the numerical integration of the heat equation", journal = j-NUM-MATH, volume = "15", number = "5", pages = "371--381", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A4400 (Heat flow, thermal and thermodynamic processes); A4725Q (Convection and heat transfer); C4170 (Differential equations)", keywords = "calculation; differential equations; heat conduction; physics", } @Article{Barrar:1970:RAN, author = "R. B. Barrar and Henry L. Loeb", title = "On the {Remez} algorithm for non-linear families", journal = j-NUM-MATH, volume = "15", number = "5", pages = "382--391", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "convergence of numerical methods", } @Article{Lamprecht:1970:AFR, author = "G. Lamprecht", title = "{{\"U}ber die Abh{\"a}ngigkeit der Fehlerfunktion bei der rationale $L_p$-Approximation von den Koeffizienten des Nennerpolynoms bei minimalem Z{\"a}hlerpolynom}. ({German}) [{On the relation between the error function with rational {$L_p$} approximation and the coefficients of the denominator polynomial with minimum numerator polynomial}]", journal = j-NUM-MATH, volume = "15", number = "5", pages = "392--403", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:23:28 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "function approximation", language = "German", } @Article{Hertling:1970:APC, author = "J. Hertling", title = "Approximation of piecewise continuous functions by a modification of piecewise {Hermite} interpolation", journal = j-NUM-MATH, volume = "15", number = "5", pages = "404--414", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "function approximation; interpolation", } @Article{Zettl:1970:VMF, author = "G. Zettl", title = "{Ein Verfahren zum Minimieren einer Funktion bei eingeschr{\"a}nktem Variationsbereich der Parameter}. ({German}) [{A method for the minimization of a function by a limited variation of parameters}]", journal = j-NUM-MATH, volume = "15", number = "5", pages = "415--432", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:25:03 1997", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", keywords = "variational techniques", language = "German", } @Article{Jerome:1970:LSM, author = "J. W. Jerome", title = "Linear self-adjoint multipoint boundary value problems and related approximation schemes", journal = j-NUM-MATH, volume = "15", number = "5", pages = "433--449", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Northwestern Univ., Evanston, IL, USA", keywords = "boundary-value problems; differentiation; eigenvalues and eigenfunctions", } @Article{Dubrulle:1970:SNI, author = "A. Dubrulle", title = "A short note on the implicit {$QL$} algorithm for symmetric tridiagonal matrices", journal = j-NUM-MATH, volume = "15", number = "5", pages = "450--450", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 12:54:13 MDT 1999", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "IBM Corp., Houston, TX, USA", keywords = "convergence of numerical methods; iterative methods; matrix algebra", } @Article{Howland:1970:CMS, author = "J. L. Howland and J. A. Senez", title = "A constructive method for the solution of the stability problem", journal = j-NUM-MATH, volume = "16", number = "1", pages = "1--7", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory); C4140 (Linear algebra)", corpsource = "Univ. Ottawa, Ont., Canada", keywords = "Lyapunov methods; matrix algebra; numerical methods", } @Article{Marsaglia:1970:RCR, author = "G. Marsaglia", title = "Regularities in congruential random number generators", journal = j-NUM-MATH, volume = "16", number = "1", pages = "8--10", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C7890 (Other special applications of computing)", corpsource = "Boeing Sci. Res. Labs., Seattle, WA, USA", keywords = "random number generation", } @Article{Cenacchi:1970:PNC, author = "G. Cenacchi and A. {de Matteis}", title = "Pseudo-random numbers for comparative {Monte Carlo} calculations", journal = j-NUM-MATH, volume = "16", number = "1", pages = "11--15", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C7890 (Other special applications of computing)", corpsource = "CNEN, Bologna, Italy", keywords = "Monte Carlo methods; random number generation", } @Article{Rowland:1970:SBD, author = "J. H. Rowland and J. A. O'Donnell", title = "Some bounds for the deviation and interpolation points in {Chebyshev} approximation", journal = j-NUM-MATH, volume = "16", number = "1", pages = "16--21", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", keywords = "function approximation; interpolation", } @Article{Johnston:1970:CBI, author = "R. L. Johnston and B. T. Smith", title = "Calculation of best isolated {Gerschgorin} discs", journal = j-NUM-MATH, volume = "16", number = "1", pages = "22--31", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Bittner:1970:SRT, author = "L. Bittner", title = "Some representation theorems for functions and sets and their application to nonlinear programming", journal = j-NUM-MATH, volume = "16", number = "1", pages = "32--51", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Ernst-Moritz-Arndt-Univ., Greifswald, East Germany", keywords = "nonlinear programming", } @Article{Daniel:1970:SGC, author = "J. W. Daniel", title = "A simple, global, complementary variational principle", journal = j-NUM-MATH, volume = "16", number = "1", pages = "52--57", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Cranley:1970:RMM, author = "R. Cranley and T. N. L. Patterson", title = "A regression method for the {Monte Carlo} evaluation of multidimensional integrals", journal = j-NUM-MATH, volume = "16", number = "1", pages = "58--72", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:37:06 MDT 1999", acknowledgement = ack-nhfb, } @Article{Deutsch:1970:MN, author = "E. Deutsch", title = "Matricial norms", journal = j-NUM-MATH, volume = "16", number = "1", pages = "73--84", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:37:38 MDT 1999", acknowledgement = ack-nhfb, } @Article{Martin:1970:ABS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "The {$QR$} algorithm for band symmetric matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "85--92", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", note = "See also \cite[pp.~266--272]{Wilkinson:1971:HAC}.", keywords = "eigenvalues and eigenfunctions and matrix algebra", } @Article{Jamet:1970:MRN, author = "P. Jamet and P. Lascaux and P. A. Raviart", title = "Une m{\'e}thode de r{\'e}solution num{\'e}rique des {\'e}quations de {Navier-Stokes}. ({French}) [{A} method of numerical solution of the {Navier-Stokes} equations]", journal = j-NUM-MATH, volume = "16", number = "2", pages = "93--114", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", keywords = "convergence; convergence of numerical methods; Courant Friedrichs criteria; explicit decentered differences; linearisation; Navier Stokes equations; nonlinear terms discretisation; numerical methods; numerical solution; optimal stability; partial differential equations; stability", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1970:DVG, author = "P. G. Ciarlet and R. S. Varga", title = "Discrete variational {Green}'s function", journal = j-NUM-MATH, volume = "16", number = "2", pages = "115--128", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gaier:1970:SSA, author = "D. Gaier", title = "{Saturation bei Spline-Approximation und Quadratur}. ({German}) [{Saturation in spline approximation and quadrature}]", journal = j-NUM-MATH, volume = "16", number = "2", pages = "129--140", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:39:16 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "approximated function; divergence; function approximation; polynomials; quadrature; saturation; spline approximation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Householder:1970:NGI, author = "A. S. Householder and R. S. Varga and J. H. Wilkinson", title = "A note on {Gerschgorin}'s inclusion theorem for eigenvalues of matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "141--144", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", keywords = "eigenvalues and eigenfunctions; matrix algebra", } @Article{Brent:1970:EAA, author = "R. P. Brent", title = "Error Analysis of Algorithms for Matrix Multiplication and Triangular Decomposition Using {Winograd}'s Identity", journal = j-NUM-MATH, volume = "16", number = "2", pages = "145--156", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{high:89b}", classification = "C4140 (Linear algebra)", corpsource = "Stanford Univ., CA, USA", keywords = "digital arithmetic; error analysis; fast algorithm; matrix algebra; matrix multiplication; nla; rounding error", } @Article{Allgower:1970:CPD, author = "E. L. Allgower", title = "Criteria for positive definiteness of some band matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "157--162", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Colorado State Univ., CO, USA", keywords = "matrix algebra", } @Article{Lebaud:1970:LDA, author = "C. Lebaud", title = "{L}'Algorithm double {$QR$} avec $<<$shift$>>$. ({French}) [{The} double {$QR$} algorithm with `shift']", journal = j-NUM-MATH, volume = "16", number = "2", pages = "163--180", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", keywords = "matrix algebra", language = "French", } @Article{Peters:1970:ERC, author = "G. Peters and J. H. Wilkinson", title = "Eigenvectors of Real and Complex Matrices by {$LR$} and {$QR$} Triangularization", journal = j-NUM-MATH, volume = "16", number = "3", pages = "181--204", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Theory/Matrix.bib", note = "Also in \cite[pp. 372--395]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", keywords = "complex matrix; eig; eigenvalues and eigenfunctions; matrix algebra; nla; nonsymmetric matrix; software", } @Article{Rutishauser:1970:SIM, author = "H. Rutishauser", title = "Simultaneous iteration method for symmetric matrices", journal = j-NUM-MATH, volume = "16", number = "3", pages = "205--223", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", note = "Also in \cite[pp. 284--302]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", keywords = "eigenvalues and eigenfunctions; iterative methods; matrix algebra", } @Article{Fritsch:1970:NNS, author = "F. N. Fritsch", title = "On the number of nodes in self-contained integration formulas of degree two for compact planar regions", journal = j-NUM-MATH, volume = "16", number = "3", pages = "224--230", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", keywords = "integration", } @Article{Chow:1970:NSL, author = "T. S. Chow and H. W. Milnes", title = "Numerical solution of {Laplace} equation for annular region", journal = j-NUM-MATH, volume = "16", number = "3", pages = "231--242", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", keywords = "numerical analysis; partial differential equations", } @Article{Bacopoulos:1970:ASC, author = "A. Bacopoulos", title = "On approximation by sums of {Chebyshev} norms", journal = j-NUM-MATH, volume = "16", number = "3", pages = "243--247", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "Chebyshev approximation", } @Article{Meyer:1970:FIP, author = "G. H. Meyer", title = "On a free interface problem for linear ordinary differential equations and the one-phase {Stefan} problem", journal = j-NUM-MATH, volume = "16", number = "3", pages = "248--267", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", keywords = "boundary-value problems; linear differential equations; numerical methods", } @Article{Curtis:1970:EOR, author = "A. R. Curtis", title = "An eighth order {Runge-Kutta} process with eleven function evaluations per step", journal = j-NUM-MATH, volume = "16", number = "3", pages = "268--277", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", keywords = "linear differential equations; predictor-corrector methods", } @Article{Ferreira:1970:ZMH, author = "E. M. Ferreira and J. Sesma", title = "Zeros of the modified {Hankel} function", journal = j-NUM-MATH, volume = "16", number = "3", pages = "278--284", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", keywords = "poles and zeros", } @Article{Bittner:1971:AVH, author = "L. Bittner", title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe von Dualit{\"a}tss{\"a}tzen. II}. ({German}) [{Bounds} of the Variational Method with the Aid of the Duality Principle. {II}]", journal = j-NUM-MATH, volume = "16", number = "4", pages = "285--303", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Carasso:1971:LRN, author = "Alfred Carasso", title = "Long-range numerical solution of mildly non-linear parabolic equations", journal = j-NUM-MATH, volume = "16", number = "4", pages = "304--321", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", keywords = "boundary value procedure; boundary-value problems; convergence; convergence of numerical methods; difference equations; error estimation; errors; estimation theory; iterative methods; long range numerical solution; mildly nonlinear parabolic equations; nonlinear equations; steady state solution", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1971:EBF, author = "I. Babu{\v{s}}ka", title = "Error-bounds for finite element method", journal = j-NUM-MATH, volume = "16", number = "4", pages = "322--333", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Univ. Maryland, College Park, MD, USA", keywords = "Dirichlet problem; error bounds; error estimation; errors; finite element methods; Hilher space; Laplace equation; Lipschitz domain; norms; numerical methods; solution approximation", treatment = "T Theoretical or Mathematical", } @Article{Brown:1971:DTC, author = "K. M. Brown and W. B. Gearhart", title = "Deflation techniques for the calculation of further solutions of a nonlinear system", journal = j-NUM-MATH, volume = "16", number = "4", pages = "334--342", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", keywords = "deflation technique; further solutions calculation; minimisation; minimization; multiple root problems; nonlinear equations; nonlinear system of equations; numerical methods; theory", treatment = "T Theoretical or Mathematical", } @Article{Good:1971:CMN, author = "I. J. Good and R. A. Gaskins", title = "The centroid method of numerical integration", journal = j-NUM-MATH, volume = "16", number = "4", pages = "343--359", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "State Univ., Blacksburg, VA, USA", keywords = "centroid method; integration; mid ordinate method; multinormal integrands; multivariable function integration; nonpathological region; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Businger:1971:MNS, author = "P. A. Businger", title = "Monitoring the numerical stability of {Gaussian} elimination", journal = j-NUM-MATH, volume = "16", number = "4", pages = "360--361", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA", keywords = "complete pivoting; computational work; Gaussian elimination method; linear algebra; linear algebraic equations; numerical difficulties realisation test; numerical stability; partial pivoting; stability; stability monitoring", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1971:BCL, author = "J. H. Bramble and S. R. Hilbert", title = "Bounds for a class of linear functionals with applications to {Hermite} interpolation", journal = j-NUM-MATH, volume = "16", number = "4", pages = "362--369", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/o_ccd.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Cornell Univ., Ithaca, NY, USA", keywords = "bounds; estimation theorem; estimation theory; function approximation; Hermite interpolation; interpolation; linear functionals; N-dimensional interpolation; polynomials; pure partial derivatives; Sobolev spaces", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1971:EEN, author = "M. M. Chawla", title = "Estimating errors of numerical approximation for analytic functions", journal = j-NUM-MATH, volume = "16", number = "4", pages = "370--374", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Householder:1971:GAS, author = "A. S. Householder", title = "Generalizations of an algorithm of {Sebasti{\~a}o e Silva}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "375--382", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:37:01 2007", acknowledgement = ack-nhfb, } @Article{Gotze:1971:RSG, author = "H. G{\"o}tze and F. L. Bauer", title = "{Robert Sauer, geb. 16.9.1898 -- gest. 22.8.1970}. ({German}) {Robert Sauer, born 16.9.1898 -- died 22.8.1970}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "I--II", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Kambo:1971:EBL, author = "N. S. Kambo", title = "Error bounds for the {Lobatto} and {Radau} quadrature formulas", journal = j-NUM-MATH, volume = "16", number = "5", pages = "383--388", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", keywords = "analytic functions; error bounds; errors; integration; numerical integration; quadrature formula", treatment = "T Theoretical or Mathematical", } @Article{Kress:1971:ART, author = "R. Kre{\ss}", title = "{Ein ableitungsfreies Restglied f{\"u}r die trigonometrische Interpolation periodischer analytischer Funktionen}. ({German}) [{A derivative-free residue for the trigonometric interpolation of periodic analytic functions}]", journal = j-NUM-MATH, volume = "16", number = "5", pages = "389--396", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:33:47 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "analogous condition; convergence; convergence of numerical methods; converges; derivative free residue; exponentially; interpolation; interpolation residue; mathematical techniques; periodic analytic functions; polynomial; polynomials; series of quadratic forms; trigonometric differentiation; trigonometric interpolation; upper bound", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Clendenin:1971:MNQ, author = "W. W. Clendenin", title = "A method for numerical quadrature over an infinite interval using systematically increasing mesh size", journal = j-NUM-MATH, volume = "16", number = "5", pages = "397--407", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", corpsource = "Univ. California, Los Alamos, NM, USA", keywords = "computation of integrals; infinite interval; integration; numerical integration; numerical methods; numerical quadrature; quadrature formula; systematic increase of mesh size", treatment = "T Theoretical or Mathematical", } @Article{Young:1971:BOR, author = "David M. Young", title = "A bound for the optimum relaxation factor for the successive overrelaxation method", journal = j-NUM-MATH, volume = "16", number = "5", pages = "408--413", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65N05", MRnumber = "45 6208", MRreviewer = "N. Gastinel", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", keywords = "bound for optimum relaxation factor; boundary value problems; boundary-value problems; differential equations; finite difference methods; linear systems; numerical methods; numerical solution; self adjoint differential equations; successive overrelaxation method", treatment = "T Theoretical or Mathematical", } @Article{Bartels:1971:SSM, author = "R. H. Bartels", title = "A stabilization of the simplex method", journal = j-NUM-MATH, volume = "16", number = "5", pages = "414--434", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", keywords = "computational stability; error analysis; linear programming; round off error analysis; simplex method; stability; stabilization", treatment = "T Theoretical or Mathematical", } @Article{Medley:1971:NPJ, author = "H. I. Medley", title = "A note on a paper of {Johnston} and {Smith}'s concerning best isolated {Gerschgorin} disks", journal = j-NUM-MATH, volume = "16", number = "5", pages = "435--441", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", keywords = "bound for eigenvalue; convergence of numerical methods; eigenvalues and eigenfunctions; isolated eigenvalues; isolated Gerschgorin disk; iterative methods; matrix algebra; Newton's method", } @Article{Kiyono:1971:BCS, author = "T. Kiyono and M. Shimasaki", title = "Boundary contraction solution of the {Neumann} and mixed boundary value problems of the {Laplace} equation", journal = j-NUM-MATH, volume = "16", number = "5", pages = "442--450", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Kyoto Univ., Japan", keywords = "boundary contraction method; boundary-value problems; differential equations; Laplace equation; mixed boundary value problems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Reinsch:1971:SSF, author = "C. H. Reinsch", title = "Smoothing by spline functions. {II}", journal = j-NUM-MATH, volume = "16", number = "5", pages = "451--454", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "convergence of numerical methods; interpolation; smoothing by spline functions; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Leipnik:1971:RCR, author = "R. B. Leipnik", title = "Rapidly convergent recursive solution of quadratic operator equations", journal = j-NUM-MATH, volume = "17", number = "1", pages = "1--16", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Naval Weapons Center, China Lake, CA, USA", keywords = "convergence of numerical methods; convergent recursive solution; matrix algebra; quadratic operator equations", treatment = "T Theoretical or Mathematical", } @Article{Oliver:1971:EEM, author = "J. Oliver", title = "The efficiency of extrapolation methods for numerical integration", journal = j-NUM-MATH, volume = "17", number = "1", pages = "17--32", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:09 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Essex, UK", keywords = "analytical study; automatic evaluation; definite integrals; extrapolation methods; integration; numerical integration; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1971:AFP, author = "G. Alefeld", title = "{Anwendungen Des Fixpunktsatzes F{\"u}r Pseudometrische R{\"a}ume In Der Intervallrechnung}. ({German}) [{Application of the fixed point theorem for pseudo-metric space to interval computation}]", journal = j-NUM-MATH, volume = "17", number = "1", pages = "33--39", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", keywords = "complex systems of equations; convergence; convergence of numerical methods; fixed point theorem; integral coefficients; interval computation; iterative methods; iterative processes; matrix; matrix algebra; pseudometric space", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Rowland:1971:IIP, author = "J. H. Rowland", title = "Inequalities for the interpolation points in {Chebyshev} approximation by polynomials", journal = j-NUM-MATH, volume = "17", number = "1", pages = "40--44", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:03 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", keywords = "Chebyshev approximation; inequalities; interpolation points; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1971:CNP, author = "V. Thomee", title = "Convergence near plane boundaries of some elliptic difference schemes", journal = j-NUM-MATH, volume = "17", number = "1", pages = "45--53", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. G{\"o}teborg, Sweden", keywords = "convergence of numerical methods; differential equations; elliptic difference schemes; elliptic differential equations; second order type", treatment = "T Theoretical or Mathematical", } @Article{Roark:1971:ECI, author = "A. L. Roark", title = "On the eigenproblem for convolution integral equations", journal = j-NUM-MATH, volume = "17", number = "1", pages = "54--61", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, } @Article{Willson:1971:UGM, author = "A. N. {Willson, Jr.}", title = "A useful generalization of the {$P_0$} matrix concept", journal = j-NUM-MATH, volume = "17", number = "1", pages = "62--70", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gastinel:1971:ENA, author = "N. Gastinel", title = "Sur l'extension de normes sur des alg{\`e}bres de matrices. ({French}) [{On} the Extension of Norms on Matrix Algebras]", journal = j-NUM-MATH, volume = "17", number = "1", pages = "71--83", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Ciarlet:1971:MTF, author = "P. G. Ciarlet and C. Wagschal", title = "Multipoint {Taylor} formulas and applications to the finite element method", journal = j-NUM-MATH, volume = "17", number = "1", pages = "84--100", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:53:27 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Lab. Central des Ponts et Chauss{\'e}es, Paris, France", keywords = "applications; differential equations; finite element method; multipoint Taylor formulas; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Dieter:1971:EDS, author = "U. Dieter and J. Ahrens", title = "An exact determination of serial correlations of pseudo-random numbers", journal = j-NUM-MATH, volume = "17", number = "2", pages = "101--123", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Distributed/QLD.bib; Distributed/QLD/1971.bib", acknowledgement = ack-nhfb, classification = "C7890 (Other special applications of computing)", corpsource = "Univ. Karlsruhe, West Germany", country = "D", date = "00/00/00", descriptors = "RNG; correlation;", enum = "777", keywords = "linear congruential methods; random number generation; serial correlations", location = "PKI-OG: Li-Ord.Le", references = "0", revision = "21/04/91", treatment = "T Theoretical or Mathematical", } @Article{Miranker:1971:DSB, author = "W. L. Miranker", title = "Difference schemes with best possible truncation error", journal = j-NUM-MATH, volume = "17", number = "2", pages = "124--142", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "IBM, Yorktown Heights, NY, USA", keywords = "difference scheme; hyperbolic system; initial value problem; numerical solution; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Kupka:1971:SRA, author = "I. Kupka", title = "{Simulation reeller Arithmetik und reeller Funktionen in endlichen Mengen}. ({German}) [{Simulation of real arithmetic and real functions in finite sets}]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "143--152", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:38:39 1997", acknowledgement = ack-nhfb, classification = "C1220 (Simulation, modelling and identification); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Hamburg, West Germany", keywords = "error estimation; errors; estimation theory; finite set; floating point arithmetic; real functions; simulation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1971:EAF, author = "C. Brezinski", title = "{\'E}tudes sur les $\epsilon$- et $\rho$-algorithmes. ({French}) [{Studies} on $\epsilon$ and $\rho$-algorithms]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "153--162", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", keywords = "convergence of numerical methods; epsilon algorithm; modification", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brauer:1971:RPH, author = "A. Brauer", title = "A remark on the paper of {H. H. Schaefer, ``Absch{\"a}tzung der nichttrivialen Eigenwerte stochastischer Matrizen}''", journal = j-NUM-MATH, volume = "17", number = "2", pages = "163--165", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Knauer:1971:USE, author = "B. Knauer", title = "{Untere Schranken f{\"u}r die Eigenwerte positiv-definiter, selbstadjungierter Operatoren}. ({German}) [{Lower} Bounds for the Eigenvalues of Positive Definite Selfadjoint Operators]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "166--171", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Reimer:1971:UWP, author = "Manfred Reimer", title = "{Untersuchungen {\"u}ber das Wachstrum von Potenzreihenabschnitten mit Anwendungen f{\"u}r das Hornerschema}. ({German}) [{Investigations of the growth of segments of polynomials with applications to {Horner}'s scheme}]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "172--178", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Fri May 30 07:31:39 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", keywords = "applications; Horner's scheme; interpolation; investigation; polynomials; segments growth", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1971:ASA, author = "T. J. Dekker and J. F. Traub", title = "An analysis of the shifted {$LR$} algorithm", journal = j-NUM-MATH, volume = "17", number = "3", pages = "179--188", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA", keywords = "analyze generalized shift strategies; eigenvalues; generalizations of classical iterations; identity matrix; iterative methods; lower triangular; matrix algebra; matrix functions transform; nonlinear equations; shifted LR algorithm; square matrix; upper triangular", treatment = "T Theoretical or Mathematical", } @Article{Paardekooper:1971:EAS, author = "M. H. C. Paardekooper", title = "An eigenvalue algorithm for skew-symmetric matrices", journal = j-NUM-MATH, volume = "17", number = "3", pages = "189--202", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Tilburg School Economics, Netherlands", keywords = "eigenvalue algorithm; eigenvalues and eigenfunctions; eigenvalues and eigenvectors; elementary orthogonal transformations; initial matrix; iterative methods; Jacobi like algorithm; matrix algebra; Murnaghan form; Murnaghan's canonical form; process constructs iteratively; skew symmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Tanabe:1971:PMS, author = "Kunio Tanabe", title = "Projection Method for Solving a Singular System of Linear Equations and its Applications", journal = j-NUM-MATH, volume = "17", number = "3", pages = "203--214", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. Statistical Math., Minatoku, Tokyo, Japan", keywords = "complex matrix; determines the affine space; Gaussian elimination process; generalized inverse of a matrix; iterative improvement; iterative method; iterative methods; iterative procedure; Kaczmarz's method; linear equations; linear system; linear systems; matrix algebra; nla; projection method; singular system; solving system of linear equations; square and nonsingular", treatment = "T Theoretical or Mathematical", } @Article{Wuytack:1971:NTR, author = "L. Wuytack", title = "A new technique for rational extrapolation to the limit", journal = j-NUM-MATH, volume = "17", number = "3", pages = "215--221", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Gastinel:1971:CPM, author = "N. Gastinel", title = "Sur le calcul des produits de matrices. ({French}) [{Calculation} of the product of matrices]", journal = j-NUM-MATH, volume = "17", number = "3", pages = "222--229", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, language = "French", } @Article{Kuttler:1971:FAE, author = "J. R. Kuttler", title = "A finite-difference approximation for the eigenvalues of the clamped plate", journal = j-NUM-MATH, volume = "17", number = "3", pages = "230--238", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "John Hopkins Univ., Silver Spring, MD, USA", keywords = "biharmonic operator; bounded region; clamped plate; continuous eigenvalues and eigenvectors; convergence of numerical methods; convergence of the discrete eigenvalues and eigenvectors; difference operator of Bramble; discrete eigenvalues and eigenvectors; eigenproblem; eigenvalues; eigenvalues and eigenfunctions; finite difference analogue; finite difference approximation; perturbation technique", treatment = "T Theoretical or Mathematical", } @Article{Anderssen:1971:SAE, author = "R. S. Anderssen", title = "A stability analysis for the extended {Kantorovich} method applied to the torsion problem", journal = j-NUM-MATH, volume = "17", number = "3", pages = "239--246", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory); C4130 (Interpolation and function approximation)", corpsource = "Australian Nat. Univ., Canberra, Australia", keywords = "extended Kantorovich method; investigate numerically; iterative methods; iterative procedure; numerical methods; single term approximate variational representation; stability; stability analysis; stability result; torsion problem; unconditionally stable", treatment = "T Theoretical or Mathematical", } @Article{Bergman:1971:CCS, author = "S. Bergman and J. G. Herriot", title = "Computation of a class of subsonic flow patterns", journal = j-NUM-MATH, volume = "17", number = "3", pages = "247--252", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Burgmeier:1971:IET, author = "J. W. Burgmeier and R. D. Russell and L. F. Shampine", title = "Integral equations with transform kernels and the eigenproblem {KCx}= lambda x", journal = j-NUM-MATH, volume = "17", number = "4", pages = "253--267", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", keywords = "computational procedure; integral equations; matrix eigenproblem", treatment = "T Theoretical or Mathematical", } @Article{Bosarge:1971:ICS, author = "W. E. {Bosarge, Jr.}", title = "Iterative continuation and the solution of nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "17", number = "4", pages = "268--283", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "IBM Sci. Centre, Houston, TX, USA", keywords = "boundary value problems; boundary-value problems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Schryer:1971:NMC, author = "N. L. Schryer", title = "{Newton}'s method for convex nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "17", number = "4", pages = "284--300", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Bell Telephone Labs., Murray Hill, NY, USA", keywords = "boundary value problem; boundary-value problems; numerical methods; solution", treatment = "T Theoretical or Mathematical", } @Article{Hadjidimos:1971:NSM, author = "A. Hadjidimos", title = "The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods", journal = j-NUM-MATH, volume = "17", number = "4", pages = "301--317", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Chatelin-Laborde:1971:PMH, author = "F. Chatelin-Laborde", title = "Perturbation d'une matrice hermitienne ou normale. ({French}) [{Perturbation} theory for {Hermitian} (normal) matrix]", journal = j-NUM-MATH, volume = "17", number = "4", pages = "318--337", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. Math. Appliqu{\'e}es, Grenoble, France", keywords = "eigen elements; eigenvalues and eigenfunctions; error bounds; Hermitian (normal) matrix; matrix algebra", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Robert:1971:AEO, author = "J. Robert", title = "Approximations des espace d'{Orlicz} et applications. ({French}) [{Approximations} of {Orlicz} spaces and their applications]", journal = j-NUM-MATH, volume = "17", number = "4", pages = "338--356", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "applications; convergent approximations; exponential type; function approximation; Hammerstein type; integral equations; non linear integral equations; Orlicz spaces; partial differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Braess:1971:CAS, author = "D. Braess", title = "{Chebyshev} approximation by spline functions with free knots", journal = j-NUM-MATH, volume = "17", number = "5", pages = "357--366", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "Chebyshev approximation; Descartes; Esch and Eastman; Fitzgerald; Johnson; Karlin; Meinardus and Schwedt; monosplines; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Hulme:1971:PPT, author = "B. L. Hulme", title = "Piecewise polynomial {Taylor} methods for initial value problems", journal = j-NUM-MATH, volume = "17", number = "5", pages = "367--381", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", keywords = "boundary-value problems; continuous analytic continuation; differentiability; differential equations; error bounds; first order ordinary differential equations; initial value problems; Loscalzo; mean value theorem; numerical methods; piecewise polynomial Taylor methods; polynomials; stability analysis; Taylor expansion; Taylor expansion method", treatment = "T Theoretical or Mathematical", } @Article{Noda:1971:NCM, author = "Takashi Noda", title = "Note on the Computation of the Maximal Eigenvalue of a Non-Negative Irreducible Matrix", journal = j-NUM-MATH, volume = "17", number = "5", pages = "382--386", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Hitachi Ltd., Kawasaki, Japan", keywords = "convergence; eigenvalues and eigenfunctions; eigenvector; general matrices; iteration; iterative methods; Jordan form; matrix algebra; maximal eigenvalue; nonnegative irreducible matrix; subdominant; Wielandt's method", treatment = "T Theoretical or Mathematical", } @Article{Sreedharan:1971:LSA, author = "V. P. Sreedharan", title = "Least squares algorithms for finding solutions of overdetermined linear equations which minimize error in an abstract norm", journal = j-NUM-MATH, volume = "17", number = "5", pages = "387--401", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Michigan State Univ., East Lansing, MI, USA", keywords = "abstract norm; best fit solutions l/sup p/ norms; convergence; convergence of numerical methods; convex norm; least squares algorithms; least squares approximations; linear algebra; orthogonal projection; overdetermined linear equations", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1971:SNG, author = "Frank Natterer", title = "{Schranken f{\"u}r die Norm der Greenschen Funktion gew{\"o}hnlicher Differentialoperatoren}. ({German}) [{Bounds} for the Norm of the {Green}'s Function of Ordinary Differential Operators ]", journal = j-NUM-MATH, volume = "17", number = "5", pages = "402--408", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436089", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:42:59 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Joubert:1971:EDA, author = "G. R. Joubert", title = "Explicit difference approximations of the one-dimensional diffusion equation, using a smoothing technique", journal = j-NUM-MATH, volume = "17", number = "5", pages = "409--430", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01436090", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 10:42:59 2007", acknowledgement = ack-nhfb, } @Article{Kulisch:1971:AAR, author = "U. Kulisch", title = "An axiomatic approach to rounded computations", journal = j-NUM-MATH, volume = "18", number = "1", pages = "1--17", month = feb, year = "1971", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01398455", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", abstract = "The present paper is intended to give an axiomatic approach to rounded computations. A rounding is defined as a monotone mapping of an ordered set into a subset, which in general is called a lower respectively an upper screen. The first chapter deals with roundings in ordered sets. In the second chapter further properties of roundings in linearly ordered sets are studied. The third chapter deals with the two most important applications, the approximation of the real arithmetic on a finite screen and the approximation of the real interval arithmetic on an upper screen. Beyond these examples various further applications are possible.", acknowledgement = ack-nhfb, } @Article{Joubert:1971:EDA, author = "G. R. Joubert", title = "Explicit Difference Approximations of {Du Fort--Frankel} Type for the One-Dimensional Diffusion Equation", journal = j-NUM-MATH, volume = "18", number = "1", pages = "18--25", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 21:30:25 1999", acknowledgement = ack-nhfb, } @Article{Stewart:1971:COA, author = "G. W. Stewart", title = "On a companion operator for analytic functions", journal = j-NUM-MATH, volume = "18", number = "1", pages = "26--43", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", acknowledgement = ack-nhfb, } @Article{Galimberti:1971:SCV, author = "G. Galimberti and V. Pereyra", title = "Solving Confluent {Vandermonde} Systems of {Hermite} Type", journal = j-NUM-MATH, volume = "18", number = "1", pages = "44--60", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", keywords = "linear system; nla; Vandermonde matrix", } @Article{Hoshino:1971:SPD, author = "S. Hoshino and K. Ichida", title = "Solution of partial differential equations by a modified random walk", journal = j-NUM-MATH, volume = "18", number = "1", pages = "61--72", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Kyoto Univ., Japan", keywords = "difference equations; elliptic and parabolic partial differential equations; given boundary values; modified random walk; Monte Carlo methods; Monte Carlo technique; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1971:SEE, author = "M. N. Spijker", title = "On the structure of error estimates for finite-difference methods", journal = j-NUM-MATH, volume = "18", number = "1", pages = "73--100", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Leiden, Netherlands", keywords = "boundary values; differential equation; differential equations; error analysis; error estimates; finite difference methods; local round off error; numerical solution; semilinear", treatment = "T Theoretical or Mathematical", } @Article{Hertling:1971:NTS, author = "J. Hertling", title = "Numerical treatment of singular integral equations by interpolation methods", journal = j-NUM-MATH, volume = "18", number = "2", pages = "101--112", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Tech. Hochschule Wien, Austria", keywords = "integral equations; interpolation; interpolation methods; linear; numerical treatment; piecewise polynomial interpolation; singular integral equations; spline interpolation", treatment = "T Theoretical or Mathematical", } @Article{Schafer:1971:KAL, author = "Eugen Sch{\"a}fer", title = "{Ein Konstruktionsverfahren bei allgemeiner linearer Approximation}. ({German}) [{A construction method for general linear approximation}]", journal = j-NUM-MATH, volume = "18", number = "2", pages = "113--126", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. M{\"u}nchen, West Germany", keywords = "construction method; function approximation; geometrical interpretation; Haar subspace; linear approximation; modification", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Spellucci:1971:DPA, author = "P. Spellucci", title = "Double precision approximations to the elementary functions using {Jacobi}-fractions", journal = j-NUM-MATH, volume = "18", number = "2", pages = "127--143", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sat Oct 24 12:49:25 1998", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C5230 (Digital arithmetic methods)", corpsource = "Univ. Ulm, West Germany", keywords = "arctangent; Chebyshev approximation; Chebyshev best fit approximations; cosine; digital arithmetic; elementary functions; error propagation; exponential; guard digits; natural logarithm; rational functions; sine", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1971:FBE, author = "H. E. Salzer", title = "Formulas for best extrapolation", journal = j-NUM-MATH, volume = "18", number = "2", pages = "144--153", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", keywords = "confluent formulas; extrapolation; function approximation; interpolation; Lagrange Hermite; real function", treatment = "T Theoretical or Mathematical", } @Article{Lewin:1971:EPM, author = "Mordechai Lewin", title = "On exponents of primitive matrices", journal = j-NUM-MATH, volume = "18", number = "2", pages = "154--161", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Israel Inst. Technol., Haifa, Israel", keywords = "characterisation; exponents; matrix algebra; primitive matrices; sharp bounds", treatment = "T Theoretical or Mathematical", } @Article{Cooper:1971:EBN, author = "G. J. Cooper", title = "Error bounds for numerical solutions of ordinary differential equations", journal = j-NUM-MATH, volume = "18", number = "2", pages = "162--170", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7300 (Natural sciences computing)", corpsource = "Univ. Sussex, Brighton, UK", keywords = "approximation defect; differential equations; eigenvalue; error analysis; error bounds; Jacobian matrix; Lipschitz constant; matrix algebra; numerical solutions; ordinary differential equations; Riccati equation; step length", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1971:RAT, author = "R. E. Carlson and C. A. Hall", title = "{Ritz} approximations to two-dimensional boundary value problems", journal = j-NUM-MATH, volume = "18", number = "2", pages = "171--181", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Westinghouse Bettis Atomic Power Lab., West Mifflin, PA, USA", keywords = "boundary value problems; boundary-value problems; integral equations; partitioning; plane strain elasticity; polygonal domain; Ritz approximations; steady state heat flow; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1971:IDE, author = "E. Deutsch and C. Zenger", title = "Inclusion domains for the eigenvalues of stochastic matrices", journal = j-NUM-MATH, volume = "18", number = "2", pages = "182--192", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Forschunginst. Funk and Math., Werthoven, West Germany", keywords = "eigenvalues; eigenvalues and eigenfunctions; inclusion domains; matrix algebra; stochastic matrices", treatment = "T Theoretical or Mathematical", } @Article{Pomentale:1971:CIM, author = "T. Pomentale", title = "A class of iterative methods for holomorphic functions", journal = j-NUM-MATH, volume = "18", number = "3", pages = "193--203", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "CERN, Geneva, Switzerland", keywords = "descent property; holomorphic functions; iterative methods; polynomial", treatment = "T Theoretical or Mathematical", } @Article{Troch:1971:ISR, author = "I. Troch", title = "{{\"U}ber die Stabilit{\"a}t der Ruhelage bei Differentialgleichungen mit quasihomogenen rechten Seiten}. ({German}) [{On the steady-state stability of differential equations with quasi-homogeneous right sides}]", journal = j-NUM-MATH, volume = "18", number = "3", pages = "204--212", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:42:12 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Tech. Hochschule, Wien, Austria", keywords = "criteria; differential equations; homogeneous right sides; quasihomogeneous; stability criteria; steady state stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Auslender:1971:MNP, author = "A. Auslender", title = "{M}{\'e}thodes num{\'e}riques pour la d{\'e}composition et la minimisation de fonctions non diff{\'e}rentiables. ({French}) [{Numerical} methods for the decomposition and minimisation of non-differentiable functions]", journal = j-NUM-MATH, volume = "18", number = "3", pages = "213--223", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4190 (Other numerical methods)", keywords = "decomposition; Jacobi and Southwell method; minimisation; nondifferentiable functions; numerical methods; reflexive Banach spaces; successive overrelaxation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1971:FPT, author = "T. J. Dekker", title = "A Floating-Point Technique for Extending the Available Precision", journal = j-NUM-MATH, volume = "18", number = "3", pages = "224--242", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Math. Centre, Amsterdam, Netherlands", keywords = "ALGOL 60 procedures; available precision; digital arithmetic; double precision; multilength; single; single length floating point arithmetic; subroutines", treatment = "T Theoretical or Mathematical", } @Article{Prenter:1971:PS, author = "P. M. Prenter", title = "Piecewise {$L$}-splines", journal = j-NUM-MATH, volume = "18", number = "3", pages = "243--253", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", keywords = "error estimates; extended error estimates; integral relations; L-splines; linear differential operator; normal linear differential operators; null space; one variable; piecewise fits; spline functions; splines (mathematics); uniformly bounded family", treatment = "T Theoretical or Mathematical", } @Article{Cannon:1971:CIS, author = "John J. Cannon", title = "Computing the ideal structure of finite semigroups", journal = j-NUM-MATH, volume = "18", number = "3", pages = "254--266", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", acknowledgement = ack-nhfb, classification = "C4220 (Automata theory)", corpsource = "Univ. Sydney, NSW, Australia", keywords = "equivalence classes; finite automata; finite semigroup; Green relations; ideal structure", treatment = "T Theoretical or Mathematical", } @Article{Einarsson:1971:NTI, author = "B. Einarsson", title = "Numerical treatment of integro-differential equations with a certain maximum property", journal = j-NUM-MATH, volume = "18", number = "3", pages = "267--288", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Res. Inst. Nat. Defense, Tumba, Sweden", keywords = "discretization; error estimations; initial value problem; integro-differential equations; integrodifferential equations; logarithmic norm; maximum norm; maximum points; maximum property; numerical solution; ordinary differential equations; space variable integration; time variable differentiation; weighted Euclidean norm", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:DFA, author = "K. M. Brown and J. E. {Dennis, Jr.}", title = "Derivative free analogues of the {Levenberg-Marquardt} and {Gauss} algorithms for nonlinear least squares approximation", journal = j-NUM-MATH, volume = "18", number = "4", pages = "289--298", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Minnesota, Minneapolis, MN, USA", keywords = "convergence of numerical methods; derivative free analogues; finite difference analogues; Gauss method; least squares approximations; Levenberg Marquardt method; local convergence theorems; nonlinear least squares approximation; quadratic convergence; residuals; zero", treatment = "T Theoretical or Mathematical", } @Article{King:1972:TMN, author = "R. F. King", title = "Tangent methods for nonlinear equations", journal = j-NUM-MATH, volume = "18", number = "4", pages = "298--304", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Argonne Nat. Lab., IL, USA", keywords = "alternate function; derivative values; hybrid methods; Muller's method; nonlinear equations; numerical methods; secant; tangent methods", treatment = "T Theoretical or Mathematical", } @Article{Gargantini:1972:CAD, author = "I. Gargantini and P. Henrici", title = "Circular arithmetic and the determination of polynomial zeros", journal = j-NUM-MATH, volume = "18", number = "4", pages = "305--320", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Univ. Western Ontario, London, Ont., Canada", keywords = "circular arithmetic; cubically convergent algorithm; determination; error bounds; extended complex plane; interval arithmetic; locating zeros; logarithmic derivative; M{\"o}bius transformations; Newton's method; numerical methods; poles and zeros; polynomial zeros; polynomials; simultaneous approximation; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Barker:1972:MN, author = "G. P. Barker", title = "Monotone norms", journal = j-NUM-MATH, volume = "18", number = "4", pages = "321--326", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Missouri, Kansas City, KS, USA", keywords = "dual; linear algebra; monotone norms; nonnegative orthant; partially ordered finite dimensional real spaces; subordinate matrix norm", treatment = "T Theoretical or Mathematical", } @Article{Tsuda:1972:NDF, author = "T. Tsuda", title = "Numerical differentiation of functions of very many variables", journal = j-NUM-MATH, volume = "18", number = "4", pages = "327--335", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Kyoto Univ., Japan", keywords = "arbitrary points; differentiation; multidimensional space; multivariable functions; nonlinear interpolation; numerical differentiation; random processes; random samplings", treatment = "T Theoretical or Mathematical", } @Article{Schryer:1972:SMN, author = "N. L. Schryer", title = "Solution of monotone nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "18", number = "4", pages = "336--344", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Bell Telephone Labs. Inc., Murray Hill, NJ, USA", keywords = "boundary-value problems; descent technique; linear uniformly elliptic second order operator; monotone nonlinear elliptic boundary value problems; Newton's method; nonlinear differential equations; partial differential equations; quadratic convergence; sequence of iterates", treatment = "T Theoretical or Mathematical", } @Article{Riess:1972:EEC, author = "R. D. Riess and L. W. Johnson", title = "Error estimates for {Clenshaw-Curtis} quadrature", journal = j-NUM-MATH, volume = "18", number = "4", pages = "345--353", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Virginia Polytech. Inst., Blacksburg, VA, USA", keywords = "analytic; bounding; Chebyshev approximation; Chebyshev polynomial; Clenshaw Curtis quadrature; closed formula; elliptic disc; error analysis; error estimates; integration; interpolation; low order continuity; second kind; square integrable; zeros", treatment = "T Theoretical or Mathematical", } @Article{Hubner:1972:ZUG, author = "O. Hubner", title = "{Zweiparametrige {\"U}berrelaxation}. ({German}) [{Two parameter overrelaxation}]", journal = j-NUM-MATH, volume = "18", number = "4", pages = "354--366", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:43:14 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Justusliebig-Univ., Giessen, West Germany", keywords = "convergence; convergence of numerical methods; eigenvalues; matrix; matrix algebra; pure imaginary; real; SOR; successive overrelaxation; two parameter overrelaxation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Pietrzykowski:1972:GPM, author = "T. Pietrzykowski", title = "A generalization of the potential method for conditional maxima on the {Banach}, reflexive spaces", journal = j-NUM-MATH, volume = "18", number = "4", pages = "367--372", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Waterloo, Ont., Canada", keywords = "Banach reflexive space; conditional maxima; constrained maximum; convergence; convergence of numerical methods; linear algebra; local nonsingular maximum; locally concave functional; locally convex set; potential method; unconstrained maxima", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1972:AFP, author = "W. Gautschi", title = "Attenuation factors in practical {Fourier} analysis", journal = j-NUM-MATH, volume = "18", number = "5", pages = "373--400", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Purdue Univ., Lafayette, IN, USA", keywords = "2 pi periodic function; attenuation factors; Fourier analysis; function approximation; interpolation; linearity; piecewise polynomial; time honoured procedure; translation invariance; trapezoidal rule approximation", treatment = "T Theoretical or Mathematical", } @Article{Rokne:1972:NMU, author = "J. Rokne", title = "{Newton}'s method under mild differentiability conditions with error analysis", journal = j-NUM-MATH, volume = "18", number = "5", pages = "401--412", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Calgan, Alta., Canada", keywords = "computational errors; convergence; convergence of numerical methods; differential equations; error analysis; Frechet derivative; Holder continuous; majorizing sequences; mild differentiability conditions; Newton's method; operator equations; second order differential equation", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1972:BGG, author = "K. P. Hadeler", title = "{Bemerkungen zum Gradientenverfahren}. ({German}) [{Remarks on gradient methods}]", journal = j-NUM-MATH, volume = "18", number = "5", pages = "413--422", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:44:19 1997", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Univ. Tubingen, West Germany", keywords = "arbitrary initial values; convergence; convergence of numerical methods; gradient; gradient methods; Hilbert space; iterative methods; monotonicity theorems; Newton; optimisation; steepest descent; unconstrained optimization", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Werner:1972:FRI, author = "Helmut Werner", title = "{Eine faktorisierung der bei der rationalen Interpolation auftretenden Matrizen}. ({German}) [{A factorization of matrices occurring in rational interpolation}]", journal = j-NUM-MATH, volume = "18", number = "5", pages = "423--431", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:48:19 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. Numerische Instrumentelle Mathematik, M{\"u}nster, West Germany", keywords = "coefficients; explicit formula; factorization of matrices; interpolation; matrix algebra; matrix representation; numerical methods; rational interpolation; Wetterling algorithm", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sack:1972:FSR, author = "R. A. Sack", title = "A fully stable rational version of the {$QR$} algorithm for tridiagonal matrices", journal = j-NUM-MATH, volume = "18", number = "5", pages = "432--441", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Salford, UK", keywords = "convergence criterion; convergence of numerical methods; eigenvalue; eigenvalues and eigenfunctions; iterations; iterative methods; matrix algebra; perturbation estimation; precision; QR algorithm; stability; tridiagonal matrices; virtual origin shifts", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1972:PIM, author = "R. Weiss and R. S. Anderssen", title = "A product integration method for a class of singular first kind {Volterra} equations", journal = j-NUM-MATH, volume = "18", number = "5", pages = "442--456", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Australian National Univ., Canberra, Australia", keywords = "convergence; convergence of numerical methods; existence theorem of Kowalewski; integral equations; kernels; Lipschitz continuous first derivative; midpoint product integration method; product integration method; singular first kind Volterra equations", treatment = "T Theoretical or Mathematical", } @Article{Morris:1972:ITS, author = "W. L. Morris", title = "Inclusion theorems for a section of a matrix", journal = j-NUM-MATH, volume = "18", number = "5", pages = "457--464", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Houston, TX, USA", keywords = "eigensystem; eigenvalues and eigenfunctions; inclusion theorems; matrix; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Sack:1972:AGQ, author = "R. A. Sack and A. F. Donovan", title = "An algorithm for {Gaussian} quadrature given modified moments", journal = j-NUM-MATH, volume = "18", number = "5", pages = "465--478", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Salford, UK", keywords = "3 term recurrence relations; algebraic; ALGOL procedure; Christoffel weights; co-diagonal matrix; convergence; convergence of numerical methods; eigenvalues; Gaussian quadrature; Given's method; integration; long quotient modified difference algorithm; modified moments; one dimensional product integral; polynomials; weight function", treatment = "T Theoretical or Mathematical", } @Article{Russell:1972:CMB, author = "R. D. Russell and L. F. Shampine", title = "A collocation method for boundary value problems", journal = j-NUM-MATH, volume = "19", number = "1", pages = "1--28", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", keywords = "boundary value problems; boundary-value problems; collocation method; convergence; convergence of numerical methods; piecewise polynomial functions", treatment = "T Theoretical or Mathematical", } @Article{Amann:1972:NLN, author = "H. Amann", title = "{{\"U}ber die n{\"a}hrungswise L{\"o}sung nichtlinearer Integralgleichungen}. ({German}) [{On the approximate solution of nonlinear integral equations}]", journal = j-NUM-MATH, volume = "19", number = "1", pages = "29--45", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:53:09 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Ruhr Univ., Bochum, West Germany", keywords = "approximate solution; Hammerstein; Hilbert space; integral equations; iteration method; iterative methods; Newton's method; nonlinear equations; nonlinear integral equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Askey:1972:PCN, author = "R. Askey", title = "Positivity of the {Cotes} numbers for some {Jacobi} abscissas", journal = j-NUM-MATH, volume = "19", number = "1", pages = "46--48", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "Cotes numbers; integration; Jacobi abscissas; polynomials; positivity; quadrature schemes", treatment = "T Theoretical or Mathematical", } @Article{vanderSluis:1972:RTQ, author = "A. {van der Sluis}", title = "The remainder term in quadrature formulae", journal = j-NUM-MATH, volume = "19", number = "1", pages = "49--55", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Rijksuniv. Utrecht, Netherlands", keywords = "integration; numerical methods; quadrature formulae; remainder term; Simpson's rule; step size", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1972:IZN, author = "G. Alefeld and J. Herzberger", title = "{Nullstelleneinschliessung Mit Dem Newton-Verfahren Ohne Invertierung Von Intervallmatrizen}. ({German}) [{Including zeros of nonlinear equations by the Newton method without inverting interval matrices}]", journal = j-NUM-MATH, volume = "19", number = "1", pages = "56--64", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Univ. Karlsruhe, West Germany", keywords = "interval arithmetic; Newton method; nonlinear equations; poles and zeros; zeros", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lyche:1972:CMM, author = "T. Lyche", title = "{Chebyshevian} multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "19", number = "1", pages = "65--75", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Texas, Austin, TX, USA", keywords = "Chebyshev approximation; Chebyshevian multistep methods; differential equations; exact integration; ordinary differential equations; smooth stepsize dependent coefficients", treatment = "T Theoretical or Mathematical", } @Article{Brenner:1972:PMS, author = "J. L. Brenner and J. {de Pillis}", title = "Partitioned matrices and {Seidel} convergence", journal = j-NUM-MATH, volume = "19", number = "1", pages = "76--80", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. California, Riverside, CA, USA", keywords = "convergence of numerical methods; iteration; iterative methods; matrix algebra; partitioned matrices; proof; Seidel convergence", treatment = "T Theoretical or Mathematical", } @Article{Strang:1972:AFE, author = "Gilbert Strang", title = "Approximation in the finite element method", journal = j-NUM-MATH, volume = "19", number = "1", pages = "81--98", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "MIT, Cambridge, MA, USA", keywords = "approximation; convergence of numerical methods; finite element method; function approximation; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Blair:1972:EBS, author = "J. J. Blair", title = "Error bounds for the solution of nonlinear two-point boundary value problems by {Galerkin}'s method", journal = j-NUM-MATH, volume = "19", number = "2", pages = "99--109", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "EG and G Inc., Las Vegas, NV, USA", keywords = "boundary-value problems; differential equation; elliptic differential operator; error analysis; error bounds; Galerkin's method; nonlinear differential equations; nonlinear two point boundary value problems; numerical methods; polynomial spline trial functions", treatment = "T Theoretical or Mathematical", } @Article{Carroll:1972:SAC, author = "M. P. Carroll", title = "Simultaneous {$L_1$} approximation of a compact set of real-valued functions", journal = j-NUM-MATH, volume = "19", number = "2", pages = "110--115", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", keywords = "Chebyshev approximation; function approximation; L/sub 1/ compact set; polynomials; real valued functions; simultaneous Chebyshev approximation; uniqueness results", treatment = "T Theoretical or Mathematical", } @Article{Antes:1972:SLI, author = "H. Antes", title = "{Splinefunktionen bei der L{\"o}sung von Integralgleichungen}. ({German}) [{On the solution of integral equations with spline functions}]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "116--126", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:54:00 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "T. H. Aachen, West Germany", keywords = "error analysis; estimation; integral equations; interpolation; interpolation spline; linear algebraic equations; numerical error; numerical method; numerical methods; spline functions; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Fix:1972:FEA, author = "G. Fix and N. Nassif", title = "On finite element approximations to time-dependent problems", journal = j-NUM-MATH, volume = "19", number = "2", pages = "127--135", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Harvard Univ., Cambridge, MA, USA", keywords = "boundary-value problems; difference quotients; dissipative initial value problems; error analysis; error bounds; error estimates; finite element approximations; initial value Cauchy problem; numerical methods; partial differential equations; spline semidiscrete approximations; splines (mathematics); time dependent problems", treatment = "T Theoretical or Mathematical", } @Article{Tissier:1972:IPV, author = "G. Tissier", title = "Interpolation {\`a} plusieurs variables sur la sph{\`e}re. ({French}) [{Interpolation} with several variables on the sphere]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "136--145", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "IUT Depart. Informatique, Nancy, France", keywords = "approximation; error bounds; function approximation; interpolation; periodic function; quadrature; trigonometric functions", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Golitschek:1972:CIP, author = "M. v. Golitschek", title = "On the convergence of interpolating periodic spline functions of high degree", journal = j-NUM-MATH, volume = "19", number = "2", pages = "146--154", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wurzburg, West Germany", keywords = "convergence; convergence of numerical methods; high degree; interpolating periodic spline functions; interpolation; splines (mathematics); trigonometric polynomial", treatment = "T Theoretical or Mathematical", } @Article{Pierce:1972:HOC, author = "J. G. Pierce and R. S. Varga", title = "Higher order convergence results for the {Rayleigh-Ritz} method applied to eigenvalue problems. {II}. Improved error bounds for eigenfunctions", journal = j-NUM-MATH, volume = "19", number = "2", pages = "155--169", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Southern California, Los Angeles, CA, USA", keywords = "approximating; convergence of numerical methods; eigenfunctions; eigenvalue problems; eigenvalues and eigenfunctions; error analysis; error bounds; error estimates; Galerkin approximation; higher order convergence results; Rayleigh Ritz method; uniform norms", treatment = "T Theoretical or Mathematical", } @Article{Kellogg:1972:CEM, author = "R. B. Kellogg", title = "On compiles eigenvalues of {$M$} and {$P$} matrices", journal = j-NUM-MATH, volume = "19", number = "2", pages = "170--175", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Maryland, College Park, MD, USA", keywords = "complex eigenvalues; eigenvalues and eigenfunctions; inequalities; M and P matrices; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Wilkinson:1972:NMV, author = "J. H. Wilkinson", title = "Note on matrices with a very ill-conditioned eigenproblem", journal = j-NUM-MATH, volume = "19", number = "2", pages = "176--178", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", keywords = "eigenvalues and eigenfunctions; eigenvectors; ill conditioned eigenproblem; matrices; matrix algebra; multiple eigenvalue; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Gaier:1972:EKM, author = "Dieter Gaier", title = "{Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden}. ({German}) [{Determination of the conformal modules of quadrilaterals by difference methods}]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "179--194", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Univ. Giessen, West Germany", keywords = "conformal modules; difference methods; Dirichlet integral; discretely harmonic function; function evaluation; mesh points; numerical methods; quadrilaterals", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Beyer:1972:ECC, author = "W. A. Beyer and M. S. Waterman", title = "Ergodic computations with continued fractions and {Jacobi}'s algorithm", journal = j-NUM-MATH, volume = "19", number = "3", pages = "195--205", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Lancaster:1972:NSM, author = "P. Lancaster", title = "A note on sub-multiplicative norms", journal = j-NUM-MATH, volume = "19", number = "3", pages = "206--208", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, } @Article{Zenger:1972:CSB, author = "Christoph Zenger", title = "A comparison of some bounds for the nontrivial eigenvalues of stochastic matrices", journal = j-NUM-MATH, volume = "19", number = "3", pages = "209--211", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", acknowledgement = ack-nhfb, } @Article{Steinberg:1972:NSV, author = "J. Steinberg", title = "Numerical solution of {Volterra} integral equation", journal = j-NUM-MATH, volume = "19", number = "3", pages = "212--217", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Technion, Israel Inst. Technol., Haifa, Israel", keywords = "asymptotic behaviour; error analysis; Gregory's formula; integral equations; magnitude; numerical methods; numerical solution; recursive inequalities; second type; truncation error; Volterra integral equation", treatment = "T Theoretical or Mathematical", } @Article{Guderley:1972:BTC, author = "K. G. Guderley and C. L. Keller", title = "A basic theorem in the computation of ellipsoidal error bounds", journal = j-NUM-MATH, volume = "19", number = "3", pages = "218--229", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Engels:1972:KND, author = "H. Engels", title = "{{\"U}ber Konvergenzkriterien f{\"u}r numerische Differentiationsverfahren}. ({German}) [{On convergence criteria for numerical differentiation procedures}]", journal = j-NUM-MATH, volume = "19", number = "3", pages = "230--237", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:42:12 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Kernforschungsanlage Julich GmbH, West Germany", keywords = "convergence criteria; convergence of numerical methods; differentiation; necessary condition; numerical differentiation procedures; pointwise convergence; sufficient condition", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Johnston:1972:CIR, author = "R. L. Johnston and D. D. Olesky", title = "On the computation of inclusion regions for partitioned matrices", journal = j-NUM-MATH, volume = "19", number = "3", pages = "238--247", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Atkinson:1972:NSF, author = "K. Atkinson", title = "The numerical solution of {Fredholm} integral equations of the second kind with singular kernels", journal = j-NUM-MATH, volume = "19", number = "3", pages = "248--259", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Indiana Univ., Bloomington, IN, USA", keywords = "boundary value problems; Fredholm integral equations; integral equations; numerical methods; numerical solution; product integration; second kind; singular kernels", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1972:BAW, author = "K. P. Hadeler", title = "{Bemerkungen zu einer Arbeit von W. Wetterling {\"u}ber positive Operatoren}. ({German}) [{Remarks on a work by W. Wetterling on positive operators}]", journal = j-NUM-MATH, volume = "19", number = "3", pages = "260--265", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Jun 02 08:52:18 1997", acknowledgement = ack-nhfb, language = "German", } @Article{Dailey:1972:EBG, author = "J. W. Dailey and J. G. Pierce", title = "Error bounds for the {Galerkin} method applied to singular and nonsingular boundary value problems", journal = j-NUM-MATH, volume = "19", number = "3", pages = "266--282", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Kent State Univ., OH, USA", keywords = "boundary-value problems; differential equations; error analysis; error bounds; Galerkin method; L/sup 2/; N-norm projection; numerical methods; singular and nonsingular boundary value problems; uniform norm error estimates", treatment = "T Theoretical or Mathematical", } @Article{Field:1972:PET, author = "D. A. Field and W. B. Jones", title = "{\em A priori\/} estimates for truncation error of continued fractions {$K(1/b_n)$}", journal = j-NUM-MATH, volume = "19", number = "4", pages = "283--302", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C5230 (Digital arithmetic methods)", corpsource = "Coll. Holy Cross, Worcester, MA, USA", keywords = "a priori estimates; complex elements; complex logarithm; continued fractions; digital arithmetic; error analysis; error estimates; K(1/b/sub n/); numerical methods; ratio of consecutive Bessel functions; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Robert:1972:NAA, author = "F. Robert and J. F. Maitre", title = "Normes et algorithmes associ{\'e}s {\`a} une d{\'e}coupe de matrice (It{\'e}ration du principe de {Gauss-Seidel}). ({French}) [{Norms} and algorithms associated with a splitting of matrix (Iteration of the {Gauss-Seidel} principle)]", journal = j-NUM-MATH, volume = "19", number = "4", pages = "303--325", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Lyon I, Villeurbanne, France", keywords = "coherent; compatible; convergence of iterations; Gauss Seidel principle; iteration; iterative methods; matrix algebra; norms; splitting of matrix", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Melkes:1972:RPB, author = "F. Melkes", title = "Reduced piecewise bivariate {Hermite} interpolations", journal = j-NUM-MATH, volume = "19", number = "4", pages = "326--340", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Res. and Dev. Inst., Brno, Czechoslovakia", keywords = "differential equations; elementary rectangle; general quasilinear equation; integral equations; interpolation; nonlinear integral equation; reduced piecewise bivariate Hermite interpolations", treatment = "T Theoretical or Mathematical", } @Article{Robinson:1972:ENM, author = "S. M. Robinson", title = "Extension of {Newton}'s method to nonlinear functions with values in a cone", journal = j-NUM-MATH, volume = "19", number = "4", pages = "341--347", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "convergence of numerical methods; convergence results; error analysis; error bounds; extension; Kantorovich theorem; Newton's method; nonempty closed convex cone; nonlinear functions; numerical methods; optimisation; reflexive Banach space; values", treatment = "T Theoretical or Mathematical", } @Article{Bereanu:1972:CCM, author = "B. Bereanu", title = "On the convergence of {Cartesian} multidimensional quadrature formulae", journal = j-NUM-MATH, volume = "19", number = "4", pages = "348--350", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Center Math. Statistics, Acad. Bucharest, Romania", keywords = "Cartesian multidimensional quadrature formulae; convergence; convergence of numerical methods; integration", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1972:MIL, author = "E. Gekeler", title = "{{\"U}ber mehrstufige Iterationsverfahren und die L{\"o}sung der Hammersteinschen Gleichung}. ({German}) [{On several stage iterative methods and the solution of the {Hammerstein} equations}]", journal = j-NUM-MATH, volume = "19", number = "4", pages = "351--360", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:20:09 1997", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. Mannheim, West Germany", keywords = "asymptotically optimal; Hammerstein equations; integral equations; iterative methods; numerical solution; several stage iterative methods; two step iterative method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kemper:1972:LMM, author = "G. A. Kemper", title = "Linear multistep methods for a class of functional differential equations", journal = j-NUM-MATH, volume = "19", number = "5", pages = "361--372", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Iowa State Univ., Iowa City, IA, USA", keywords = "approximate solution; differential equations; fixed delays; functional differential equations; functional equations; linear multistep methods; variable delays", treatment = "T Theoretical or Mathematical", } @Article{Paget:1972:ANE, author = "D. F. Paget and D. Elliott", title = "An algorithm for the numerical evaluation of certain {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "19", number = "5", pages = "373--385", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", keywords = "Cauchy principal value integrals; integration; numerical evaluation", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:IGR, author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus", title = "On integral groups. {I}: {The} reducible case", journal = j-NUM-MATH, volume = "19", number = "5", pages = "386--399", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 20:47:18 MDT 1999", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Ohio State Univ., Columbus, OH, USA", keywords = "integral groups; number theory; reducible case; reducible integral matrix groups", treatment = "T Theoretical or Mathematical", } @Article{Pichat:1972:CSA, author = "M. Pichat", title = "Correction d'une Somme en Arithm{\'e}tique {\`a} Virgule Flottante. ({French}) [{Correction} of a Sum in Floating-Point Arithmetic]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "400--406", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Conservatoire Nat. Arts Metiers, Paris, France", keywords = "correction; digital arithmetic; floating point arithmetic; rounding off law; sum; truncature with guard digit", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Forster:1972:DGF, author = "Peter Forster", title = "{Die diskrete Greensche Funktion und Fehlerabsch{\"a}tzungen zum Galerkin-Verfahren}. ({German}) [{Discrete variational {Green}'s function and error bounds for {Galerkin} approximations}]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "407--418", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:24:00 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Tech. Univ., Hannover, West Germany", keywords = "boundary value problems; boundary-value problems; differential equations; discrete variational Green's function; error analysis; error bounds; Galerkin approximations; ordinary differential equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Hunter:1972:SGF, author = "D. B. Hunter", title = "Some {Gauss-type} formulae for the evaluation of {Cauchy} principal values of integrals", journal = j-NUM-MATH, volume = "19", number = "5", pages = "419--424", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", keywords = "Cauchy principal values of integrals; Gauss Legendre quadrature; Gauss type formulae; integration; numerical evaluation", treatment = "T Theoretical or Mathematical", } @Article{Miller:1972:SFN, author = "W. Miller", title = "On the stability of finite numerical procedures", journal = j-NUM-MATH, volume = "19", number = "5", pages = "425--432", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", keywords = "error analysis; finite numerical procedures; Gaussian elimination with partial pivoting; numerical methods; roundoff errors; stability", treatment = "T Theoretical or Mathematical", } @Article{Meyer-Spasche:1972:CMS, author = "R. Meyer-Spasche", title = "A constructive method of solving the {Lyapunov} equation for complex matrices", journal = j-NUM-MATH, volume = "19", number = "5", pages = "433--438", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Max-Planck-Inst. Phasmaphys., Munich, West Germany", keywords = "constructive method; Lyapunov equation for complete matrices; Lyapunov methods; matrix algebra; upper Hessenberg form", treatment = "T Theoretical or Mathematical", } @Article{Saint-Pierre:1972:CND, author = "P. Saint-Pierre", title = "Sur la convergence num{\'e}rique de diff{\'e}rentes m{\'e}thodes de d{\'e}composition pour une class de probl{\`e}mes elliptiques. ({French}) [{On} the numerical convergence of different methods of decomposition for a class of elliptic problems]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "439--449", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", keywords = "convergence of numerical methods; decomposition; elliptic problems; nonlinear differential equations; numerical convergence", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1972:FES, author = "Ivo Babu{\v{s}}ka and Michael B. Rosenzweig", title = "A finite element scheme for domains with corners", journal = j-NUM-MATH, volume = "20", number = "1", pages = "1--21", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", keywords = "convergence of numerical methods; domains with corners; finite element scheme; L/sub 2/ convergence; partial differential equations; polygonal domains in weighted Sobolev spaces; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:IGI, author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus", title = "On integral groups. {II}: {The} irreducible case", journal = j-NUM-MATH, volume = "20", number = "1", pages = "22--31", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Ohio State Univ., Columbus, OH, USA", keywords = "integral groups; number theory; reducible case; reducible integral matrix groups", treatment = "T Theoretical or Mathematical", } @Article{Schmeisser:1972:OQS, author = "Gerhard Schmeisser", title = "{Optimale Quadraturformeln mit semidefiniten Kernen}. ({German}) [{Optimal} Quadrature Formulas with Semidefinite Kernels]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "32--53", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Cenacchi:1972:QRS, author = "G. Cenacchi and A. De Matteis", title = "Quasi-random sequences by power residues", journal = j-NUM-MATH, volume = "20", number = "1", pages = "54--63", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 01:28:20 MDT 1999", acknowledgement = ack-nhfb, } @Article{Brezinski:1972:CAC, author = "Claude Brezinski", title = "Conditions d'application et de convergence de proc{\'e}d{\'e}s d'extrapolation. ({French}) [{Application} and convergence conditions for some extrapolation processes]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "64--79", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", keywords = "application; convergence conditions; convergence of numerical methods; convergent sequences; epsilon algorithm; extrapolation algorithms; function approximation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Seppaelae:1972:NTL, author = "Veikko Seppaelae", title = "A note on the theory of limit processes for solving finite equations", journal = j-NUM-MATH, volume = "20", number = "1", pages = "80--86", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Kress:1972:NIP, author = "R. Kre{\ss}", title = "{Zur numerischen Integration periodischer Funktionen nach der Rechteckregel}. ({German}) [{On the numerical integration of periodic functions by the trapezoidal rule}]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "87--92", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhle Numerische and Angewandte Math., G{\"o}ttingen, West Germany", keywords = "Davis' method; error analysis; error estimates; integration; numerical integration; periodic functions; trapezoidal rule", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kammerer:1972:ABN, author = "W. J. Kammerer and R. S. Varga", title = "On Asymptotically Best Norms for Powers of Operators", journal = j-NUM-MATH, volume = "20", number = "2", pages = "93--98", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Georgia Inst. Technol., Atlanta, GA, USA", keywords = "asymptotically best norms; iterative methods; la; large systems; linear equations; matrix algebra; matrix powers; norm; powers of operators; successive overrelaxation iterative method", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1972:VCC, author = "L. Mansfield", title = "On the variational characterization and convergence of bivariate splines", journal = j-NUM-MATH, volume = "20", number = "2", pages = "99--114", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Kansas, Lawrence, KS, USA", keywords = "bivariate splines; convergence; convergence of numerical methods; splines (mathematics); variational characterization", treatment = "T Theoretical or Mathematical", } @Article{Golomb:1972:MGN, author = "M. Golomb and R. A. Tapia", title = "The metric gradient in normed linear spaces", journal = j-NUM-MATH, volume = "20", number = "2", pages = "115--124", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 19:01:15 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Purdue Univ., Lafayette, IN, USA", keywords = "Hilbert space; metric gradient; normed linear spaces; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Kress:1972:GHT, author = "R. Kre{\ss}", title = "On general {Hermite} trigonometric interpolation", journal = j-NUM-MATH, volume = "20", number = "2", pages = "125--138", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhle Numerische and Angewandte Math., G{\"o}ttingen, West Germany", keywords = "equidistant interpolation points; general Hermite trigonometric interpolation; integration; interpolation; interpolation polynomials; quadrature formulae", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1972:PEB, author = "M. Gutknecht", title = "A posteriori error bounds for the zeros of a polynomial", journal = j-NUM-MATH, volume = "20", number = "2", pages = "139--148", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland", keywords = "a posteriori error bounds; error analysis; Newton like interpolation formula; poles and zeros; polynomial; polynomials; Rouche's theorem; zeros", treatment = "T Theoretical or Mathematical", } @Article{vanderHouwen:1972:ERF, author = "P. J. {van der Houwen}", title = "Explicit {Runge-Kutta} formulas with increased stability boundaries", journal = j-NUM-MATH, volume = "20", number = "2", pages = "149--164", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", keywords = "differential equations; explicit Runge Kutta formulae; increased stability boundaries; ordinary differential equations; partial differential equations; predictor-corrector methods", treatment = "T Theoretical or Mathematical", } @Article{Carasso:1972:EAR, author = "C. Carasso", title = "{\'E}tude de l'algorithme de {R{\'e}m{\`e}s} en l'absence de condition de {Haar}. ({French}) [{Study} of the {Remes}-algorithm without the {Haar} condition]", journal = j-NUM-MATH, volume = "20", number = "2", pages = "165--178", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Sci. and M{\'e}dicale Grenoble, France", keywords = "best approximation; convergence; convergence of numerical methods; function approximation; Haar condition; Remes algorithm; unicity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1973:FEM, author = "Ivo Babu{\v{s}}ka", title = "The finite element method with {Lagrangian} multipliers", journal = j-NUM-MATH, volume = "20", number = "3", pages = "179--192", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", keywords = "convergence of numerical methods; differential equations; Dirichlet problem; finite element method; Lagrangian multipliers; rate of convergence; second order differential equations", treatment = "T Theoretical or Mathematical", } @Article{Chatelin:1973:ADS, author = "F. Chatelin", title = "Approximation du spectre d'un op{\'e}rateur lin{\'e}are: application aux op{\'e}rateurs differentiels elliptiques non autoadjoints. ({French}) [{Approximation} of the spectrum of a linear operator: application to nonselfadjoint differential elliptic operators]", journal = j-NUM-MATH, volume = "20", number = "3", pages = "193--204", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Mathematiques Appliqu{\'e}es, Grenoble, France", keywords = "approximation; eigenvalues and eigenfunctions; function approximation; linear operator; nonselfadjoint differential elliptic operators; spectrum", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Householder:1973:PGA, author = "A. S. Householder", title = "Postscript to: {``Generalizations of an algorithm of Sebastiao e Silva''}", journal = j-NUM-MATH, volume = "20", number = "3", pages = "205--207", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Schiop:1973:SRP, author = "A. I. Schiop", title = "Stability of {Ritz} procedure for nonlinear two-point boundary value problem", journal = j-NUM-MATH, volume = "20", number = "3", pages = "208--212", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Acad. Sci., Bucarest, Romania", keywords = "boundary-value problems; nonlinear two point boundary value problem; Ritz procedure; stability", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:GMP, author = "J. {Douglas, Jr.} and T. Dupont", title = "{Galerkin} methods for parabolic equations with nonlinear boundary conditions", journal = j-NUM-MATH, volume = "20", number = "3", pages = "213--237", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", keywords = "boundary-value problems; Galerkin methods; nonlinear boundary conditions; parabolic equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Strassen:1973:BEF, author = "V. Strassen", title = "{Die Berechnungskomplexit{\"a}t von elementarsymmetrischen Funktionen und von Interpolationskoeffizienten}. ({German}) [{The computational complexity of elementary symmetric functions and interpolation coefficients}]", journal = j-NUM-MATH, volume = "20", number = "3", pages = "238--251", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Zurich, Switzerland", keywords = "computational complexity; elementary symmetric functions; interpolation; interpolation coefficients", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Varga:1973:MGS, author = "R. S. Varga and B. W. Levinger", title = "On Minimal {Gerschgorin} Sets for Families of Norms", journal = j-NUM-MATH, volume = "20", number = "3", pages = "252--256", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Kent State Univ., OH, USA", keywords = "eig; families of norms; Gerschgorin's theorem; la; matrices; matrix algebra; minimal Gerschgorin sets; norm", treatment = "T Theoretical or Mathematical", } @Article{Lucas:1973:HOP, author = "T. R. Lucas and G. W. Reddien", title = "A high order projection method for nonlinear two point boundary value problems", journal = j-NUM-MATH, volume = "20", number = "4", pages = "257--270", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. North Carolina, Charlotte, NC, USA", keywords = "boundary-value problems; high order projection method; nonlinear two point boundary value problems; polynomial spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Rakotch:1973:NSV, author = "E. Rakotch", title = "Numerical solution of {Volterra} integral equations", journal = j-NUM-MATH, volume = "20", number = "4", pages = "271--279", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Israel Inst. Technol., Haifa, Israel", keywords = "convergence of numerical methods; convergence properties; integral equations; numerical methods; numerical solution; quadrature formulae; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Ansorge:1973:FKF, author = "Rainer Ansorge", title = "{$f$-Konvergenz und $f$-Stetigkeit von Operatorenfolgen auf metrischen R{\"a}umen}. ({German}) [$f$-Convergence and $f$-Stability of Operator Sequences in Metric Spaces]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "280--287", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Cryer:1973:NSB, author = "Colin W. Cryer", title = "The numerical solution of boundary value problems for second order functional differential equations by finite differences", journal = j-NUM-MATH, volume = "20", number = "4", pages = "288--299", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Wisconsin, Madison, WI, USA", keywords = "boundary value problems; boundary-value problems; difference equations; differential equations; finite differences; numerical solution; second order functional differential equations", treatment = "T Theoretical or Mathematical", } @Article{vanDooren:1973:NCF, author = "Rene van Dooren", title = "Numerical computation of forced oscillations in coupled {Duffing} equations", journal = j-NUM-MATH, volume = "20", number = "4", pages = "300--311", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Alefeld:1973:UKZ, author = "G. Alefeld", title = "{{\"U}ber konvergente Zerlegungen von Matrizen}. ({German}) [{On} Convergent Splittings of Matrices]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "312--316", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:27:08 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Locher:1973:SQG, author = "Franz Locher", title = "{Zur Struktur von Quadraturformeln}. ({German}) [{On} the Structure of Quadrature Formulas]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "317--326", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:28:06 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Brent:1973:OIP, author = "Richard Brent and Shmuel Winograd and Philip Wolfe", title = "Optimal iterative processes for root-finding", journal = j-NUM-MATH, volume = "20", number = "5", pages = "327--341", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:36:46 MDT 1999", acknowledgement = ack-nhfb, } @Article{Chan:1973:SS, author = "Paula P. Chan", title = "Singular splines", journal = j-NUM-MATH, volume = "20", number = "5", pages = "342--349", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Cleveland State Univ., OH, USA", keywords = "approximations; derivatives; interpolate; rational numbers; singular splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Zwas:1973:TSL, author = "Gideon Zwas", title = "On two step {Lax-Wendroff} methods in several dimensions", journal = j-NUM-MATH, volume = "20", number = "5", pages = "350--355", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Sachs:1973:IMN, author = "A. Sachs", title = "{Iterationsverfahren f{\"u}r monotone, nicht notwendig Lipschitz-beschr{\"a}nkte Operatoren im Hilbert-Raum}. ({German}) [{Iteration} Method for Monotone Not-Necessarily {Lipschitz}-Limited Operators in {Hilbert} Space]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "356--363", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 09:48:04 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Meyer-Spasche:1973:MSS, author = "R. Meyer-Spasche", title = "A method of solving the stability-problem for complex matrices", journal = j-NUM-MATH, volume = "20", number = "5", pages = "364--371", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:13:52 MDT 1999", acknowledgement = ack-nhfb, } @Article{vonFinckenstein:1973:KDQ, author = "Karl Finck von Finckenstein and Karl-Ulrich von Hagenow", title = "{Konvergenz eines Differenzenverfahrens f{\"u}r quasilineare parabolische Anfangs-Randwertprobleme in Zylindersymmetrie}. ({German}) [{Convergence} of a Difference Method for Quasilinear Parabolic Initial-Boundary Value Problems in Cylindrical Symmetry]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "372--376", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Oct 19 10:23:14 MDT 1999", acknowledgement = ack-nhfb, language = "German", } @Article{Tsuda:1973:NIF, author = "T. Tsuda", title = "Numerical integration of functions of very many variables", journal = j-NUM-MATH, volume = "20", number = "5", pages = "377--391", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Hokkaido Univ., Sapporo, Japan", keywords = "composite functions; functions of very many variables; integration; multidimensional interpolatory quadrature scheme; numerical integration; samplings", treatment = "T Theoretical or Mathematical", } @Article{Kincaid:1973:CNI, author = "David R. Kincaid", title = "A Class of Norms of Iterative Methods for Solving Systems of Linear Equations", journal = j-NUM-MATH, volume = "20", number = "5", pages = "392--408", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Tue Jan 28 17:28:43 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib", } @Article{Schonhage:1973:UTG, author = "A. Sch{\"o}nhage", title = "{Unit{\"a}re Transformationen gro{\ss}er Matrizen}. ({German}) [{Unitary} Transformation of Large Matrices]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "409--417", month = oct, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01402563", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:00:12 2007", acknowledgement = ack-nhfb, language = "German", } @Article{Wuytack:1973:ARI, author = "Luc Wuytack", title = "An algorithm for rational interpolation similar to the $qd$-algorithm", journal = j-NUM-MATH, volume = "20", number = "5", pages = "418--424", month = oct, year = "1973", CODEN = "NUMMA7", DOI = "http://dx.doi.org/10.1007/BF01402564", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Mar 18 11:00:12 2007", acknowledgement = ack-nhfb, } @Article{Feldstein:1973:NSO, author = "A. Feldstein and R. Goodman", title = "Numerical solution of ordinary and retarded differential equations with discontinuous derivatives", journal = j-NUM-MATH, volume = "21", number = "1", pages = "1--13", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Arizona State Univ., Tempe, AZ, USA", keywords = "differential equations; discontinuous derivatives; error analysis; numerical solution; ordinary and retarded differential equations; propagation of discretization error", treatment = "T Theoretical or Mathematical", } @Article{Strom:1973:MEB, author = "T. Strom", title = "Monotonicity and error bounds in schemes of {Romberg} type for the computation of $f^{(n)}(0)$ by central differences and extrapolation", journal = j-NUM-MATH, volume = "21", number = "1", pages = "14--21", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "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 = "Res. Inst. Nat. Defence, Stockholm, Sweden", keywords = "central differences; difference equations; error analysis; error bounds; extrapolation; monotonicity; schemes of Romberg type", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1973:SVI, author = "Frank de Hoog and Richard Weiss", title = "On the solution of {Volterra} integral equations of the first kind", journal = j-NUM-MATH, volume = "21", number = "1", pages = "22--32", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Australian Nat. Univ., Canberra, Australia", keywords = "difference equations; high order finite difference methods; integral equations; solution; Volterra integral equations of the first kind", treatment = "T Theoretical or Mathematical", } @Article{Delchambre:1973:AMD, author = "M. Delchambre", title = "De l'avantage des m{\'e}thodes aux diff{\'e}rences modifi{\'e}es de {Stiefel-Bettis} pour la r{\'e}solution d'{\'e}quations diff{\'e}rentielles du second ordre perturb{\'e}es. ({French}) [{The} advantage of modified {Stiefel-Bettis} difference methods for the solution of perturbed second order differential equations]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "33--36", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Libre Bruxelles, Belgium", keywords = "difference equations; modified Stiefel Bettis difference methods; non linear Van der Pol equation; nonlinear differential equations; perturbed second order differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{deVries:1973:ENM, author = "H. J. {de Vries}", title = "On the eigenproblem for normal matrices", journal = j-NUM-MATH, volume = "21", number = "1", pages = "37--42", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Katholieke Hogeschool, Tilburg, Netherlands", keywords = "eigenproblem; eigenvalues and eigenfunctions; Householder Givens method; matrix algebra; normal matrices; skew Hermitian", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1973:CMF, author = "C. Johnson", title = "On the convergence of a mixed finite-element method for plate bending problems", journal = j-NUM-MATH, volume = "21", number = "1", pages = "43--62", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Univ. G{\"o}teborg, Sweden", keywords = "convergence; convergence of numerical methods; finite element analysis; mixed finite element method; plate bending problems; stationary variational principle", treatment = "T Theoretical or Mathematical", } @Article{Anselone:1973:PBA, author = "Philip M. Anselone and Joel Davis", title = "Perturbations of best approximation problems", journal = j-NUM-MATH, volume = "21", number = "1", pages = "63--69", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon Oct 18 20:12:42 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Oregon State Univ., Corvallis, OR, USA", keywords = "approximation theory; best approximation problems; continuity; discretization properties; metric; normed linear spaces; perturbations; semimetric spaces", treatment = "T Theoretical or Mathematical", } @Article{Martensen:1973:DER, author = "E. Martensen", title = "{Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen}. ({German}) [{Representation and development of the remainder term of {Gregory}'s quadrature formula using spline functions}]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "70--80", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Wed May 28 22:03:21 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Karlsruhe, West Germany", keywords = "development; Gregory's quadrature formula; integration; remainder term; representation; spline functions; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Niethammer:1973:NVA, author = "W. Niethammer", title = "{Ein numerisches Verfahren zur analytischen Fortsetzung}. ({German}) [{A numerical method for analytical continuation}]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "81--92", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 20:56:55 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, West Germany", keywords = "analytical continuation; convergence; convergence of numerical methods; numerical method; series (mathematics); summation method; Taylor series", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Medley:1973:NGF, author = "H. I. Medley", title = "A note on {$G$}-generating families and isolated {Gerschgorin} disks", journal = j-NUM-MATH, volume = "21", number = "2", pages = "93--95", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", keywords = "eigenvalues; eigenvalues and eigenfunctions; G-generating families; isolated Gerschgorin discs; matrices; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Chandra:1973:APS, author = "J. Chandra and P. W. Davis", title = "On the approximation of periodic solutions of equations with bounded nonlinearities", journal = j-NUM-MATH, volume = "21", number = "2", pages = "96--108", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "US Army Res. Office-Durham, NC, USA", keywords = "approximation; bounded nonlinearities; differential equations; function approximation; harmonic; Lipschitzian nonlinearity; ordinary differential equations; periodic solutions; phase shift averaging method; sinusoidal forcing term", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1973:TEM, author = "W. J. Gordon and C. A. Hall", title = "Transfinite element methods: blending-function interpolation over arbitrary curved element domains", journal = j-NUM-MATH, volume = "21", number = "2", pages = "109--129", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "General Motors Corp., Warren, MI, USA", keywords = "arbitrary curved element domains; blending function; curved boundaries; finite element analysis; interpolation; material interfaces; transfinite element methods", treatment = "T Theoretical or Mathematical", } @Article{Bjorck:1973:ACV, author = "{\AA}ke Bj{\"o}rck and Tommy Elfving", title = "Algorithms for Confluent {Vandermonde} Systems", journal = j-NUM-MATH, volume = "21", number = "2", pages = "130--137", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Link{\"o}ping, Sweden", keywords = "algorithms; arithmetic operations; confluent Vandermonde systems; linear algebra; linear equations; nla; storage; Vandermonde matrix", treatment = "T Theoretical or Mathematical", } @Article{Nielson:1973:BSF, author = "G. M. Nielson", title = "Bivariate spline functions and the approximation of linear functionals", journal = j-NUM-MATH, volume = "21", number = "2", pages = "138--160", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Arizona State Univ., Tempe, AZ, USA", keywords = "approximation; bivariate spline functions; function approximation; Hilbert space; linear functionals; reproducing kernel; splines (mathematics); Taylor expansions", treatment = "T Theoretical or Mathematical", } @Article{Braess:1973:SIZ, author = "D. Braess and K. P. Hadeler", title = "Simultaneous inclusion of the zeros of a polynomial", journal = j-NUM-MATH, volume = "21", number = "2", pages = "161--165", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. M{\"u}nster, West Germany", keywords = "complex polynomial; eigenvalues and eigenfunctions; inclusion sets; interpolation; Lagrangian interpolation formulas; matrix algebra; matrix eigenvalue problem; minimal Gershgorin discs; poles and zeros; polynomials; simultaneous; zeros", treatment = "T Theoretical or Mathematical", } @Article{Schaback:1973:KAE, author = "Robert Schaback", title = "{Konstruktion und algebraische Eigenschaften von {$M$}-Spline-Interpolierenden}. ({German}) [{Construction and algebraic properties of {$M$} spline interpolation}]", journal = j-NUM-MATH, volume = "21", number = "2", pages = "166--180", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. M{\"u}nster, West Germany", keywords = "algebraic properties; construction; interpolation; M spline interpolation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wulbert:1973:NPS, author = "Daniel Wulbert", title = "A note on polynomial splines with free knots", journal = j-NUM-MATH, volume = "21", number = "2", pages = "181--184", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, } @Article{Hunter:1973:NEC, author = "D. B. Hunter", title = "The numerical evaluation of {Cauchy} principal values of integrals by {Romberg} integration", journal = j-NUM-MATH, volume = "21", number = "3", pages = "185--192", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", keywords = "Cauchy principal values; integrals; integration; numerical evaluation; numerical methods; Romberg integration", treatment = "T Theoretical or Mathematical", } @Article{Reddien:1973:PMS, author = "G. W. Reddien", title = "Projection methods and singular two point boundary value problems", journal = j-NUM-MATH, volume = "21", number = "3", pages = "193--205", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Vanderbilt Univ., Nashville, TN, USA", keywords = "boundary-value problems; collocation methods; convergence of numerical methods; convergence rates; existence; projection methods; singular splines; singular two point boundary value problems; splines (mathematics); uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Takahasi:1973:QFO, author = "Hidetosi Takahasi and Masatake Mori", title = "Quadrature formulas obtained by variable transformation", journal = j-NUM-MATH, volume = "21", number = "3", pages = "206--219", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tokyo, Bunkyo-ku, Japan", keywords = "convergence; convergence of numerical methods; improper integrals; infinite integrals; integration; quadrature formulas; variable transformation", treatment = "T Theoretical or Mathematical", } @Article{Esser:1973:BKH, author = "H. Esser and K. Scherer", title = "{Eine Bemerkungen zur Konvergenz Hermitischer Interpolationsprozesse}. ({German}) [{Convergence of {Hermite} interpolation processes}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "220--222", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 21:59:39 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "RWTH, Aachen, West Germany", keywords = "convergence; convergence of numerical methods; differentiable function; Hermite interpolation processes; interpolation; polynomial", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1973:PGM, author = "B. N. Parlett", title = "Pr{\'e}sentation g{\'e}om{\'e}trique des m{\'e}thodes de calcul des valeurs propres. ({French}) [{Geometric} presentation of methods for calculation of eigenvalues]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "223--233", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. California, Berkeley, CA, USA", keywords = "calculation; convergence; convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; geometric presentation; matrices; matrix algebra; methods", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Neunzert:1973:TAV, author = "H. Neunzert and J. Wick", title = "{Die Theorie der asymptotischen Verteilung und die numerische L{\"o}sung von Integrodifferentialgleichungen}. ({German}) [{The theory of asymptotic distribution and the numerical solution of integrodifferential equations}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "234--243", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:03:24 1997", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "RWTH, Aachen, West Germany", keywords = "integro-differential equations; integrodifferential equations; numerical methods; numerical solution; theory of asymptotic distribution", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lesaint:1973:FEM, author = "P. Lesaint", title = "Finite element methods for symmetric hyperbolic equations", journal = j-NUM-MATH, volume = "21", number = "3", pages = "244--255", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Centre Etudes Limeil, France", keywords = "convergence of numerical methods; differential equations; finite element analysis; finite element methods; rate of convergence; Rayleigh Ritz Galerkin method; symmetric hyperbolic equations", treatment = "T Theoretical or Mathematical", } @Article{Pittnauer:1973:NPK, author = "E. Pittnauer", title = "{Numerische Polynomapproximation mit Knotenpolynomen}. ({German}) [{Numerical polynomial approximation by knot polynomials}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "256--263", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:04:51 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr Univ., Bochum, West Germany", keywords = "approximation theory; interpolation; Knot polynomials; numerical methods; numerical polynomial approximation; polynomials", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sautter:1973:SLO, author = "W. Sautter", title = "{Schwankungsbereiche linearer Optimierungsaufgaben}. ({German}) [{Perturbation analysis of linear programming problems}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "264--269", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Thu May 29 22:06:45 1997", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ., M{\"u}nchen, West Germany", keywords = "linear programming; linear programming problems; perturbation analysis; perturbation techniques", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:SGM, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "Superconvergence for {Galerkin} methods for the two point boundary problem via local projections", journal = j-NUM-MATH, volume = "21", number = "3", pages = "270--278", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", keywords = "boundary-value problems; convergence of numerical methods; Galerkin methods; local projections; superconvergence; two point boundary problem", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1973:EIC, author = "E. L. Allgower", title = "Exact inverses of certain band matrices", journal = j-NUM-MATH, volume = "21", number = "4", pages = "279--284", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "ETH, Zurich, Switzerland", keywords = "band matrices; exact inverses; matrix algebra; Toeplitz type", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1973:CDM, author = "G. W. Stewart", title = "Conjugate direction methods for solving systems of linear equations", journal = j-NUM-MATH, volume = "21", number = "4", pages = "285--297", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA", keywords = "conjugate; conjugate direction methods; iterations; iterative methods; matrix; matrix algebra; systems of linear equations", treatment = "T Theoretical or Mathematical", } @Article{Mittermayer:1973:IMG, author = "E. Mittermayer", title = "{Eine Iterationsmethode zur mehrdimensionalen gleichm{\"a}{\ss}igen Approximation bei gegebener N{\"a}herung}. ({German}) [{An iterative method for the more dimensional uniform approximation by given nearness}]", journal = j-NUM-MATH, volume = "21", number = "4", pages = "298--302", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Berlin, West Germany", keywords = "Chebyshev; Chebyshev approximation; iterative method; iterative methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1973:III, author = "R. Jeltsch", title = "Integration of iterated integrals by multistep methods", journal = j-NUM-MATH, volume = "21", number = "4", pages = "303--316", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", keywords = "boundary-value problems; integration; iterated integrals; looking ahead points; multistep methods", treatment = "T Theoretical or Mathematical", } @Article{Scott:1973:FEC, author = "R. Scott", title = "Finite element convergence for singular data", journal = j-NUM-MATH, volume = "21", number = "4", pages = "317--327", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "MIT, Cambridge, MA, USA", keywords = "boundary value problem; boundary-value problems; convergence of numerical methods; finite element analysis; finite element convergence; singular data", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1973:NMS, author = "B. Gustafsson", title = "A numerical method for solving singular boundary value problems", journal = j-NUM-MATH, volume = "21", number = "4", pages = "328--344", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Uppsala Univ., Sweden", keywords = "boundary-value problems; numerical method; numerical methods; singular boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Berger:1973:EEF, author = "Alan E. Berger", title = "{$L^2$} error estimates for finite elements with interpolated boundary conditions", journal = j-NUM-MATH, volume = "21", number = "4", pages = "345--349", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "US Naval Ordnance Lab., Silver Spring, Md., USA", keywords = "error analysis; finite element analysis; finite elements; interpolated boundary conditions; interpolation; L/sup 2/ error estimates", treatment = "T Theoretical or Mathematical", } @Article{Kansy:1973:EFA, author = "Klaus Kansy", title = "{Elementare Fehlerdarstellung f{\"u}r Ableitungen bei der Hermite-Interpolation}. ({German}) [{Elementary error representation for derivatives by {Hermite} interpolation}]", journal = j-NUM-MATH, volume = "21", number = "4", pages = "350--354", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Sun Oct 17 16:12:48 MDT 1999", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Gesellschaft Math., Bonn, West Germany", keywords = "derivatives; elementary error representation; error analysis; Hermite interpolation; interpolation; pointwise", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Goodman:1973:RER, author = "R. Goodman and A. Feldstein", title = "Round-off error for retarded ordinary differential equations: a priori bounds and estimates", journal = j-NUM-MATH, volume = "21", number = "5", pages = "355--372", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Miami, FL, USA", keywords = "bounds; differential equations; error analysis; estimates; retarded ordinary differential equations; round off error", treatment = "T Theoretical or Mathematical", } @Article{Shimasaki:1973:NSI, author = "M. Shimasaki and T. Kiyono", title = "Numerical solution of integral equations in {Chebyshev} series", journal = j-NUM-MATH, volume = "21", number = "5", pages = "373--380", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Kyoto Univ., Japan", keywords = "Chebyshev approximation; Chebyshev series; integral equations; iterative methods; Newton iterations; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Daniel:1973:NMN, author = "J. W. Daniel", title = "{Newton}'s method for nonlinear inequalities", journal = j-NUM-MATH, volume = "21", number = "5", pages = "381--387", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", bibdate = "Mon May 26 11:49:34 MDT 1997", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Texas, Austin, TX, USA", keywords = "convergence of numerical methods; iterative methods; Newton's method; nonlinear inequalities; quadratic convergence", treatment = "T Theoretical