%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.04", %%% date = "13 May 2024", %%% time = "08:48:55 MST", %%% filename = "todd-john.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 = "https://www.math.utah.edu/~beebe", %%% checksum = "21672 6484 28767 287615", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; matrix analysis; number %%% theory; numerical analysis; J. Todd; John Todd", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of works by, and %%% about, works by, and about, the Northern %%% Irish American mathematician, John (Jack) %%% Todd (16 May 1911--21 June 2007). No %%% curriculum vitae or memorial paper with a %%% bibliography of his works has yet been found, %%% but the entries currently here represent the %%% results of searches in numerous sources.a %%% %%% John Todd was married in London in 1938 to %%% fellow mathematician Olga Taussky Todd, whose %%% works are covered in the file %%% taussky-todd-olga.bib in the same archive %%% location as this file. They published about %%% 30 papers together. %%% %%% John Todd was born in the village of %%% Carnacally, County Down, Northern Ireland, %%% about 50 km southwest of Belfast. He grew up %%% near Belfast, and earned a Bachelor of %%% Science degree at Queen's University in %%% Belfast in 1931. He then spent two years at %%% Cambridge University with J. E. (John %%% Edensour) Littlewood, but on Littlewood's %%% advice, did not compete further degrees %%% there. He returned to Belfast and taught at %%% Queen's University from 1933 to 1937. He %%% moved to King's College in London where he %%% worked from 1937 to 1939, then returned to %%% Methodist College in Belfast for 1940 and %%% 1941. He then joined the war effort with the %%% British Admiralty in Portsmouth and London, %%% UK, from 1941 to 1945. He created the %%% Admiralty Computing Service in London, and %%% then, together with Arthur Erd{\'e}lyi and %%% Donald Harry Sadler, set up the National %%% Mathematical Laboratory as a division of the %%% National Physics Laboratory. He and Olga are %%% credited with saving the Mathematical %%% Research Institute of Oberwolfach, Germany, %%% from destruction at the end of World War II %%% (see entries Todd:1983:O and %%% Madden:2012:JTD). %%% %%% In September 1947, John and Olga emigrated to %%% the United States, to work for three months %%% at the National Bureau of Standards (NBS) %%% near Washington, DC. They next spent another %%% three months at the Institute for Advanced %%% Study in Princeton, NJ. In April 1948, they %%% moved to the Los Angeles, California, field %%% office of the NBS, with time spent back in %%% Washington, DC, except for a year (which??) %%% back at King's College in London. They %%% remained with the NBS until 1957, and then %%% joined the faculty of the California %%% Institute of Technology (Caltech) in %%% Pasadena, where they spent the remainder of %%% their long careers. %%% %%% In 1959, John Todd was one of the founding %%% editors of Numerische Mathematik, the first %%% journal devoted to numerical analysis; he %%% remained an editor for 49 years. Despite its %%% German name, about 85 percent of the journal %%% articles are in English. Curiously, Olga %%% Taussky never published there. Complete %%% bibliographic coverage of that journal is %%% available at %%% %%% https://www.math.utah.edu/pub/tex/bib/nummath.bib %%% https://www.math.utah.edu/pub/tex/bib/nummath2000.bib %%% https://www.math.utah.edu/pub/tex/bib/nummath2010.bib %%% https://www.math.utah.edu/pub/tex/bib/nummath2020.bib %%% %%% The Journal of Approximation Theory was %%% founded by O. Shisha in 1968, and its early %%% associate editors included Philip J. Davis, %%% John R. Rice, and John Todd. %%% %%% In 1965, Olga and John were appointed %%% Fulbright Visiting Professors at the %%% University of Vienna. According to the oral %%% history in entry Cohen:1997:IJT, this visit %%% lasted about six months, with Mondays in %%% Vienna, and travel to other European %%% universities the other six days of each week. %%% %%% See the encyclopedia and genealogy entries at %%% %%% http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Todd_John.html %%% https://en.wikipedia.org/wiki/John_(Jack)_Todd %%% https://genealogy.math.ndsu.nodak.edu/id.php?id=11925 %%% %%% The latter site reports that John Todd has 5 %%% students, and 33 academic descendants. %%% %%% At version 1.04, the year coverage looked %%% like this: %%% %%% 1935 ( 1) 1961 ( 3) 1987 ( 5) %%% 1936 ( 3) 1962 ( 6) 1988 ( 2) %%% 1937 ( 1) 1963 ( 9) 1989 ( 0) %%% 1938 ( 1) 1964 ( 4) 1990 ( 4) %%% 1939 ( 0) 1965 ( 6) 1991 ( 3) %%% 1940 ( 4) 1966 ( 1) 1992 ( 2) %%% 1941 ( 2) 1967 ( 4) 1993 ( 1) %%% 1942 ( 1) 1968 ( 1) 1994 ( 5) %%% 1944 ( 0) 1970 ( 3) 1996 ( 1) %%% 1945 ( 0) 1971 ( 1) 1997 ( 3) %%% 1946 ( 2) 1972 ( 1) 1998 ( 0) %%% 1947 ( 2) 1973 ( 2) 1999 ( 1) %%% 1948 ( 3) 1974 ( 1) 2000 ( 2) %%% 1949 ( 6) 1975 ( 3) 2001 ( 0) %%% 1950 ( 7) 1976 ( 1) 2002 ( 0) %%% 1951 ( 3) 1977 ( 1) 2003 ( 0) %%% 1952 ( 4) 1978 ( 3) 2004 ( 0) %%% 1953 ( 1) 1979 ( 1) 2005 ( 0) %%% 1954 ( 9) 1980 ( 3) 2006 ( 1) %%% 1955 ( 7) 1981 ( 1) 2007 ( 3) %%% 1956 ( 4) 1982 ( 0) 2008 ( 0) %%% 1957 ( 6) 1983 ( 4) 2009 ( 0) %%% 1958 ( 5) 1984 ( 1) 2010 ( 1) %%% 1959 ( 6) 1985 ( 1) 2011 ( 0) %%% 1960 ( 3) 1986 ( 1) 2012 ( 4) %%% %%% Article: 129 %%% Book: 9 %%% InCollection: 15 %%% InProceedings: 14 %%% Manual: 1 %%% Misc: 3 %%% Proceedings: 7 %%% TechReport: 3 %%% %%% Total entries: 181 %%% %%% This bibliography has been constructed from %%% data obtained from numerous sources, %%% including at least these: %%% %%% * the University of Utah Mathematics %%% Department bibliography archives %%% %%% * the TeX User Group bibliography %%% archives %%% %%% * the Karlsruhe virtual catalog at %%% http://www.ubka.uni-karlsruhe.de/kvk_en.html %%% %%% * the US Library of Congress catalog at %%% http://catalog.loc.gov/ %%% %%% * the author's cattobib utility, which %%% provides Z39.50 interfaces to many %%% large libraries around the world, at %%% https://www.math.utah.edu/pub/cattobib/ %%% %%% * the European Mathematical Society %%% Zentralblatt fuer Mathematik database %%% at https://zbmath.org/ %%% %%% * the American Mathematical Society %%% MathSciNet database at %%% http://ams.rice.edu/mathscinet/search.html %%% %%% * the American Institute of Physics %%% Scitation database at %%% https://www.scitation.org/ %%% %%% * the American Physical Society PROLA %%% database at %%% http://publish.aps.org/search %%% %%% * the Canadian Journal of Physics %%% database at %%% http://www.nrcresearchpress.com/search/advanced %%% %%% * the Europhysics journal archive at %%% http://www.europhysicsnews.org %%% %%% * the Nature journal archive at %%% http://www.nature.com/search/ %%% %%% * the Russian Physics-Uspekhi (Advances %%% in Physical Sciences) journal archive %%% at %%% http://ufn.ru/en/authors/ %%% %%% * the SAO/NASA Astrophysics Data System %%% at %%% http://adsabs.harvard.edu/ %%% %%% * the Science journal archive at %%% http://www.sciencemag.org/search %%% %%% * the SPIRES high-energy physics %%% literature database at the Stanford %%% Linear Accelerator at Stanford %%% University at %%% https://inspirehep.net/ %%% %%% * the Springer journal database at %%% http://link.springer.com/ %%% %%% * the Web of Science database at %%% http://apps.webofknowledge.com/ %%% %%% * the Wiley journal database at %%% http://onlinelibrary.wiley.com/ %%% %%% * the arXiv.org database at %%% https://arxiv.org/ %%% %%% * the CrossRef database at %%% https://search.crossref.org/ %%% %%% * the JSTOR database at %%% http://www.jstor.org/, %%% %%% * many online library catalogs, including %%% those of the British Library, the %%% Karlsruhe Virtual Library catalog, the %%% Cambridge University Library, the %%% Oxford University Library, the %%% University of California library %%% system, and the US Library of Congress, %%% and %%% %%% 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.", %%% } %%% ====================================================================

@Preamble{ "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \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|https://www.math.utah.edu/~beebe/|"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACTA-ARITHMETICA= "Acta Arithmetica"} @String{j-ADV-MATH= "Advances in Mathematics"} @String{j-AEQUATIONES-MATHEMATICAE= "Aequationes Mathematicae"} @String{j-AM-SCI= "American Scientist"} @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-ANN-HIST-COMPUT= "Annals of the History of Computing"} @String{j-ANN-MATH= "Annals of Mathematics"} @String{j-ARCH-MATH= "Archiv der Mathematik"} @String{j-ARCH-RAT-MECH-ANAL= "Archive for rational mechanics and analysis"} @String{j-AUST-J-MATH-ANAL-APPL= "Australian Journal of Mathematical Analysis and Applications"} @String{j-BR-ASSOC-ADV-SCI-REP= "British Association for the Advancement of Science, Report"} @String{j-BULL-AMS= "Bulletin of the American Mathematical Society"} @String{j-BULL-AMS-N-S= "Bulletin of the American Mathematical Society (new series)"} @String{j-BULL-CALCUTTA-MATH-SOC= "Bulletin of the Calcutta Mathematical Society"} @String{j-BULL-INST-MATH-APPL= "Bulletin of the Institute of Mathematics and its Applications"} @String{j-BULL-LOND-MATH-SOC= "Bulletin of the London Mathematical Society"} @String{j-CACM= "Communications of the ACM"} @String{j-CAN-J-MATH= "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques"} @String{j-COLLEGE-MATH-J= "College Mathematics Journal"} @String{j-COMM-PURE-APPL-MATH= "Communications on Pure and Applied Mathematics (New York)"} @String{j-COMPOS-MATH= "Compositio Mathematica"} @String{j-DEUTSCH-MATH-V= "Jber. Deutsch. Math.--Verein"} @String{j-DUKE-MATH-J= "Duke Mathematical Journal"} @String{j-ECONOMETRICA= "Econometrica"} @String{j-ELEM-MATH= "{Elemente der Mathematik}"} @String{j-HOUSTON-J-MATH= "Houston Journal of Mathematics"} @String{j-IEEE-ANN-HIST-COMPUT= "IEEE Annals of the History of Computing"} @String{j-IJQC= "International Journal of Quantum Chemistry"} @String{j-ILL-J-MATH= "Illinois Journal of Mathematics"} @String{j-IRISH-MATH-SOC-BULL= "Irish Mathematical Society Bulletin"} @String{j-J-ALGEBRA= "Journal of Algebra"} @String{j-J-AM-STAT-ASSOC= "Journal of the American Statistical Association"} @String{j-J-APPROX-THEORY= "Journal of Approximation Theory"} @String{j-J-AUSTRAL-MATH-SOC-SER-A= "Journal of the Australian Mathematical Society. Series A"} @String{j-J-LOND-MATH-SOC= "Journal of the London Mathematical Society"} @String{j-J-MATH-ANAL-APPL= "Journal of Mathematical Analysis and Applications"} @String{j-J-MATH-MECH= "Journal of Mathematics and Mechanics"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-MATH-PURES-APPL= "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es"} @String{j-J-NUMBER-THEORY= "Journal of Number Theory"} @String{j-J-R-STAT-SOC-SUPPL= "Supplement to the Journal of the Royal Statistical Society"} @String{j-J-REINE-ANGEW-MATH= "{Journal f{\"u}r die reine und angewandte Mathematik}"} @String{j-J-RES-NATL-BUR-STAND-1934= "Journal of Research of the National Bureau of Standards (1934)"} @String{j-J-RES-NATL-BUR-STAND-B= "Journal of Research of the National Bureau of Standards. Section B, Mathematics and Mathematical Physics"} @String{j-J-SIAM= "Journal of the Society for Industrial and Applied Mathematics"} @String{j-J-WASH-ACAD-SCI= "Journal of the Washington Academy of Sciences"} @String{j-JHAPLTD= "Johns Hopkins APL Technical Digest"} @String{j-JAHRESBER-DEUTSCH-MATH-VEREIN= "{Jahresbericht der Deutschen Mathematiker-Vereinigung}"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-LIN-AND-MULT-ALGEBRA= "Linear and Multilinear Algebra"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MATH-ANN= "Mathematische Annalen"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-GAZ= "Mathematical Gazette"} @String{j-MATH-INTEL= "The Mathematical Intelligencer"} @String{j-MATH-MAG= "Mathematics Magazine"} @String{j-MATH-NACHR= "Mathematische Nachrichten"} @String{j-MATH-PROG= "Mathematical Programming"} @String{j-MATH-TABLES-OTHER-AIDS-COMPUT= "Mathematical Tables and Other Aids to Computation"} @String{j-MATH-Z= "Mathematische Zeitschrift"} @String{j-MATHEMATIKA= "Mathematika"} @String{j-MONAT-MATH= "Monatshefte f{\"u}r Mathematik"} @String{j-MONAT-MATH-PHYSIK= "Monatshefte f{\"u}r Mathematik und Physik"} @String{j-NAMS= "Notices of the American Mathematical Society"} @String{j-NATURE= "Nature"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-NUMER-ALGORITHMS= "Numerical Algorithms"} @String{j-PAC-J-MATH= "Pacific Journal of Mathematics"} @String{j-PAMM= "Proceedings in Applied Mathematics and Mechanics"} @String{j-PHILOS-MAG-7= "Philosophical Magazine Series 7 (1926--1955)"} @String{j-PHYS-TODAY= "Physics Today"} @String{j-PI-MU-EPSILON-J= "Pi Mu Epsilon Journal"} @String{j-PROC-AM-MATH-SOC= "Proceedings of the American Mathematical Society"} @String{j-PROC-CAMBRIDGE-PHIL-SOC= "Proceedings of the Cambridge Philosophical Society. Mathematical and physical sciences"} @String{j-PROC-EDINBURGH-MATH-SOC-2= "Proceedings of the Edinburgh Mathematical Society (2)"} @String{j-PROC-LONDON-MATH-SOC-2= "Proceedings of the London Mathematical Society. Second Series"} @String{j-PROC-NATL-ACAD-SCI-USA= "Proceedings of the National Academy of Sciences of the United States of America"} @String{j-PROC-R-IR-ACAD-SECT-A= "Proceedings of the Royal Irish Academy, Section A: Mathematical and Physical Sciences"} @String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI= "Proceedings of the Royal Society A: Mathematical, Physical, and Engineering Sciences"} @String{j-PROC-SYMP-APPL-MATH= "Proceedings of Symposia in Applied Mathematics"} @String{j-PROC-SYMP-PURE-MATH= "Proceedings of Symposia in Pure Mathematics"} @String{j-QUART-APPL-MATH= "Quarterly of Applied Mathematics"} @String{j-QUART-J-MATH= "Quarterly Journal of Mathematics"} @String{j-QUART-J-MATH-OXFORD= "Quarterly Journal of Mathematics. Oxford series."} @String{j-QUART-J-MECH-APPLIED-MATH= "Quarterly Journal of Mechanics and Applied Mathematics"} @String{j-RAMANUJAN-J= "The {Ramanujan} Journal"} @String{j-REV-HIST-MATH= "Revue d'Histoire des Math{'e}matiques = Journal for the History of Mathematics"} @String{j-ROCKY-MOUNTAIN-J-MATH= "Rocky Mountain Journal of Mathematics"} @String{j-SCIENCE= "Science"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-TECHNOMETRICS= "Technometrics"} @String{j-TRANS-AM-MATH-SOC= "Transactions of the American Mathematical Society"} @String{j-Z-ANGE-MATH-PHYS= "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik = Journal of Applied Mathematics and Physics}"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-A-K-PETERS= "A. K. Peters, Ltd."} @String{pub-A-K-PETERS:adr= "Wellesley, MA, USA"} @String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, USA"} @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-AW= "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr= "Reading, MA, USA"} @String{pub-BIRKHAUSER= "Birkh{\"{a}}user"} @String{pub-BIRKHAUSER:adr= "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-DEKKER= "Marcel Dekker, Inc."} @String{pub-DEKKER:adr= "New York, NY, USA"} @String{pub-GREENWOOD= "Greenwood Press"} @String{pub-GREENWOOD:adr= "88 Post Road West, Westport, CT 06881, USA"} @String{pub-GRUYTER= "Walter de Gruyter"} @String{pub-GRUYTER:adr= "Berlin, Germany"} @String{pub-INTERSCIENCE= "Interscience Publishers"} @String{pub-INTERSCIENCE:adr= "New York, NY, USA"} @String{pub-MAA= "Mathematical Association of America"} @String{pub-MAA:adr= "Washington, D.C."} @String{pub-MCGRAW-HILL= "Mc{\-}Graw-Hill"} @String{pub-MCGRAW-HILL:adr= "New York, NY, USA"} @String{pub-NBS= "U.S. National Bureau of Standards"} @String{pub-NBS:adr= "Gaithersburg, MD, USA"} @String{pub-NORTH-HOLLAND= "North-Holland Publishing Co."} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-NTIS= "National Technical Information Service"} @String{pub-NTIS:adr= "Washington, DC, USA"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PH= "Pren{\-}tice-Hall"} @String{pub-PH:adr= "Upper Saddle River, NJ 07458, USA"} @String{pub-PRINCETON= "Princeton University Press"} @String{pub-PRINCETON:adr= "Princeton, NJ, USA"} @String{pub-REIDEL= "D. Reidel"} @String{pub-REIDEL:adr= "Dordrecht, The Netherlands; Boston, MA, USA; Lancaster, UK; Tokyo, Japan"} @String{pub-SIAM= "SIAM Press"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-USGPO= "United States Government Printing Office"} @String{pub-USGPO:adr= "Washington, DC, USA"} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"}

%%% ==================================================================== %%% Part 1: Publications by John Todd %%% %%% NB: Because Todd is a common family name, and John Arthur Todd (23 %%% August 1908--22 December 1994) was a prominent British %%% mathematician, and another John Todd is a historian, it is possible %%% that a few entries here do not refer to the subject of this %%% bibliography. %%% %%% Bibliography entries, sorted by year, and then by citation label:

@Article{Todd:1935:SFT, author = "John Todd", title = "Superpositions of functions. {I}: {Transfinite} superpositions of absolutely continuous functions", journal = j-J-LOND-MATH-SOC, volume = "10", number = "3", pages = "166--171", month = jul, year = "1935", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-10.2.166", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0012.25201", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", keywords = "26A30", ZBmath = "3018963", } @Article{Cooper:1936:LR, author = "Ralph Cooper and John Todd", title = "The large roots of $ \cos z = a z + c $", journal = j-PHILOS-MAG-7, volume = "21", pages = "249--262", year = "1936", CODEN = "PHMAA4", ISSN = "0031-8086", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0013.05701", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "The Philosophical Magazine, VII. Series", journal-URL = "http://www.tandfonline.com/loi/tphm20", ZBmath = "3019894", } @Article{Todd:1936:SFI, author = "John Todd", title = "Superpositions of functions. {II}. {Transfinite} superpositions of absolutely continuous functions", journal = j-PROC-LONDON-MATH-SOC-2, volume = "41", number = "1", pages = "433--439", year = "1936", CODEN = "PLMTAL", DOI = "https://doi.org/10.1112/plms/s2-41.6.433", ISSN = "0024-6115 (print), 1460-244x (electronic)", ISSN-L = "0024-6115", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0014.39605", acknowledgement = ack-nhfb, ajournal = "Proc. Lond. Math. Soc. (2)", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Proceedings of the London Mathematical Society. Second Series", ZBmath = "3023022", } @Article{Todd:1937:TA, author = "J. Todd", title = "A theorem in arithmetic", journal = j-MATH-GAZ, volume = "21", pages = "423--424", year = "1937", CODEN = "MAGAAS", DOI = "https://doi.org/10.2307/3605843", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3605843", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "The Mathematical Gazette", jfm = "63.0900.01", journal-URL = "http://www.jstor.org/journal/mathgaze", ZBmath = "2522858", } @Article{Todd:1938:BRT, author = "John Todd", title = "Book Review: {{\booktitle{Theory of the Integral}} by S. Saks}", journal = j-MATH-GAZ, volume = "22", number = "248", pages = "84--84", month = feb, year = "1938", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3607456", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", } @Article{Taussky:1940:CAN, author = "Olga Taussky and John Todd", title = "A characterisation of algebraic numbers", journal = "Proceedings of the Royal Irish Academy. Section A. Mathematical and Physical Sciences", volume = "46", pages = "1--8", year = "1940", ISSN = "0035-8975", ISSN-L = "0035-8975", MRclass = "10.0X", MRnumber = "831", MRreviewer = "H. W. Brinkmann", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/20490743", ZMnumber = "0023.10404; 66.1210.03; 2508922", acknowledgement = ack-nhfb, ajournal = "Proc. Roy. Irish Acad. Sect. A", author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Proceedings of the Royal Irish Academy. Section A. Mathematical and Physical Sciences", } @Article{Taussky:1940:DQ, author = "Olga Taussky and John Todd", title = "Determinants of quaternions", journal = j-BULL-AMS, volume = "46", number = "5", pages = "431--432", month = may, year = "1940", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1940-07220-9", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibdate = "Tue Mar 27 09:53:20 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://www.ams.org/journals/bull/1940-46-05/S0002-9904-1940-07220-9/S0002-9904-1940-07220-9.pdf", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007); Olga Taussky-Todd (30 August 1906--7 October 1995)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", remark = "Abstract only. Absent from journal PDF file.", } @Article{Taussky:1940:MFP, author = "Olga Taussky and John Todd", title = "Matrices with finite period", journal = j-PROC-EDINBURGH-MATH-SOC-2, volume = "6", pages = "128--134", year = "1940", CODEN = "PEMSA3", DOI = "https://doi.org/10.1017/s0013091500024627", ISSN = "0013-0915,1464-3839", ISSN-L = "0013-0915", MRclass = "15.0X", MRnumber = "2829", MRreviewer = "C. C. MacDuffee", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0061.01304; 66.0041.04", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Proceedings of the Edinburgh Mathematical Society. Series II", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM", } @Article{Todd:1940:BRE, author = "John Todd", title = "Book Review: {{\booktitle{Sur les ensembles de distances des ensembles de points d'un espace euclidien}} by Sophie Piccard}", journal = j-MATH-GAZ, volume = "24", number = "261", pages = "302--302", month = oct, year = "1940", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3605468", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", } @Article{Taussky:1941:IG, author = "Olga Taussky and J. Todd", title = "Inversion in groups", journal = j-QUART-J-MATH-OXFORD, volume = "12", pages = "65--67", year = "1941", CODEN = "QJMAAT", DOI = "https://doi.org/10.1093/qmath/os-12.1.65", ISSN = "0033-5606,1464-3847", ISSN-L = "0033-5606", MRclass = "20.0X", MRnumber = "5724", MRreviewer = "R. Baer", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0028.10501; 67.0977.01", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "The Quarterly Journal of Mathematics. Oxford Series", journal-URL = "https://academic.oup.com/qjmath/issue", } @Article{Taussky:1941:MFP, author = "Olga Taussky and John Todd", title = "Matrices of finite period", journal = "Proceedings of the Royal Irish Academy. Section A. Mathematical and Physical Sciences", volume = "46", pages = "113--121", year = "1941", ISSN = "0035-8975", ISSN-L = "0035-8975", MRclass = "15.0X", MRnumber = "3607", MRreviewer = "H. W. Brinkmann", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/20490752", acknowledgement = ack-nhfb, ajournal = "Proc. Roy. Irish Acad. Sect. A", author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Proceedings of the Royal Irish Academy. Section A. Mathematical and Physical Sciences", ZBmath = "2502170", } @Article{Taussky:1942:IPM, author = "Olga Taussky and John Todd", title = "Infinite powers of matrices", journal = j-J-LOND-MATH-SOC, volume = "17", number = "3", pages = "146--151", month = jul, year = "1942", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-17.3.146", ISSN = "0024-6107,1469-7750", ISSN-L = "0024-6107", MRclass = "09.0X", MRnumber = "7741", MRreviewer = "J. H. Williamson", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0028.20103", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "The Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", ZBmath = "3044416", } @Article{Erdelyi:1946:AIP, author = "A. Erd{\'e}lyi and John Todd", title = "Advanced Instruction in Practical Mathematics", journal = j-NATURE, volume = "158", number = "4020", pages = "690--692", day = "16", month = nov, year = "1946", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/158690a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Mon Mar 26 07:47:55 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", } @Article{Sadler:1946:MGS, author = "D. H. Sadler and John Todd", title = "Mathematics in Government Service and Industry: Some Deductions from the War-Time Experience of the {Admiralty Computing Service}", journal = j-NATURE, volume = "157", number = "3992", pages = "571--573", day = "4", month = may, year = "1946", CODEN = "NATUAS", DOI = "https://doi.org/10.1038/157571a0", ISSN = "0028-0836 (print), 1476-4687 (electronic)", ISSN-L = "0028-0836", bibdate = "Mon Oct 23 07:36:57 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Nature", journal-URL = "http://www.nature.com/nature/archive/", } @Article{Taussky:1947:SAM, author = "Olga Taussky and John Todd", title = "Some aspects of modern algebra", journal = "Science Progress", volume = "138", pages = "253--268", year = "1947", ISSN = "0036-8504,2047-7163", MRclass = "09.1X", MRnumber = "20074", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/43412962", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Science Progress. A Quarterly Review of Scientific Thought, Work \& Affairs", } @Article{Todd:1947:ACS, author = "John Todd and D. H. Sadler", title = "{Admiralty Computing Service}", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "2", number = "19", pages = "289--297", month = jul, year = "1947", CODEN = "MTTCAS", DOI = "https://doi.org/10.1090/S0025-5718-47-99582-3", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", bibdate = "Tue Oct 13 08:44:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib; JSTOR database", URL = "https://www.ams.org/journals/mcom/1947-02-019/S0025-5718-47-99582-3; https://www.jstor.org/stable/2002588", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boas:1948:PSE, author = "R. P. {Boas, Jr.} and Olga {Taussky (Mrs.~John Todd)}", title = "Problems and Solutions: Elementary Problems: Solutions: {E775}", journal = j-AMER-MATH-MONTHLY, volume = "55", number = "2", pages = "99--99", month = feb, year = "1948", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2305758", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1526895", bibdate = "Mon Jun 28 12:38:48 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "See also \cite{Carter:1947:EPS}.", URL = "https://www.jstor.org/stable/2305751", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Taussky:1948:CTGa, author = "Olga Taussky and John Todd", title = "Covering theorems for groups", journal = j-BULL-AMS, volume = "54", number = "3", pages = "276--276", month = mar, year = "1948", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1948-08967-4", ISSN = "0273-0979 (print), 1088-9485 (electronic)", ISSN-L = "0002-9904", bibdate = "Wed Mar 28 06:37:17 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Taussky:1948:CTGb, author = "Olga Taussky and John Todd", title = "Covering theorems for groups", journal = "Annales de la Societ{\'e} Polonaise de Math{\'e}matique", volume = "21", pages = "303--305 (1949)", year = "1948", MRclass = "20.0X", MRnumber = "0030518", MRreviewer = "P. Erd{\H{o}}s", bibdate = "Fri Mar 23 14:38:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, ajournal = "Ann. Soc. Polon. Math.", author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", } @Article{Chowla:1949:DRI, author = "S. D. Chowla and John Todd", title = "The density of reducible integers", journal = j-CAN-J-MATH, volume = "1", pages = "297--299", year = "1949", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/cjm-1949-025-4", ISSN = "0008-414X,1496-4279", MRclass = "10.0X", MRnumber = "30558", MRreviewer = "L. Mirsky", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques", journal-URL = "http://cms.math.ca/cjm/", ZBmath = "3058946", } @Article{Dubisch:1949:EPSb, author = "Roy Dubisch and Jacob Feldman and John Todd", title = "Elementary Problems and Solutions: {E852}", journal = j-AMER-MATH-MONTHLY, volume = "56", number = "8", pages = "554--555", month = oct, year = "1949", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:26 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "See also \cite{Rosenbaum:1949:EPSa}.", URL = "https://www.jstor.org/stable/2305537", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @TechReport{Ostrowski:1949:B, author = "Alexander M. Ostrowski and Olga Taussky Todd and John Todd", title = "{[Bibliography]}", type = "Report", number = "????", institution = pub-NBS, address = pub-NBS:adr, pages = "????", year = "1949", bibdate = "Thu Mar 29 10:12:54 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", remark = "Not yet located; referred to in \cite{Taussky:1951:BBC}.", } @Article{Taussky:1949:CTG, author = "Olga Taussky and John Todd", title = "Covering theorems for groups", journal = "Annales de la Soci{\'e}t{\'e} Polonaise de Math{\'e}matique", volume = "21", pages = "303--305", year = "1949", bibdate = "Sat Mar 24 12:12:36 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0035.29505", acknowledgement = ack-nhfb, ajournal = "Ann. Soc. Polon. Math.", author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Annales de la Soci{\'e}t{\'e} Polonaise de Math{\'e}matique", ZBmath = "3054152", } @Article{Todd:1949:CCM, author = "John Todd", title = "The condition of certain matrices. {I}", journal = j-QUART-J-MECH-APPLIED-MATH, volume = "2", pages = "469--472", year = "1949", CODEN = "QJMMAV", DOI = "https://doi.org/10.1093/qjmam/2.4.469", ISSN = "0033-5614,1464-3855", ISSN-L = "0033-5614", MRclass = "65.0X", MRnumber = "34622", MRreviewer = "H. H. Goldstine", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "The Quarterly Journal of Mechanics and Applied Mathematics", journal-URL = "http://qjmam.oxfordjournals.org/content/by/year", ZBmath = "3053039", } @Article{Todd:1949:PAT, author = "John Todd", title = "A problem on arc tangent relations", journal = j-AMER-MATH-MONTHLY, volume = "56", pages = "517--528", year = "1949", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2305526", ISSN = "0002-9890,1930-0972", ISSN-L = "0002-9890", MRclass = "10.0X", MRnumber = "31496", MRreviewer = "D. H. Lehmer", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2305526", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", ZBmath = "3055096", } @Article{Browne:1950:APS, author = "D. H. Browne and John Todd", title = "Advanced Problems and Solutions: Solutions: 4341", journal = j-AMER-MATH-MONTHLY, volume = "57", number = "8", pages = "568--569", month = oct, year = "1950", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:02 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "See also \cite{Browne:1949:APS}.", URL = "https://www.jstor.org/stable/2307960", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Todd:1950:BRC, author = "John Todd", title = "Book Review: {{\booktitle{Cardinal Algebras}} by Alfred Tarski, Bjarni J{\'o}nsson}", journal = "Science Progress", volume = "38", number = "149", pages = "152--152", month = jan, year = "1950", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/43413694", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1950:CCM, author = "John Todd", title = "The condition of a certain matrix", journal = j-PROC-CAMBRIDGE-PHIL-SOC, volume = "46", pages = "116--118", year = "1950", CODEN = "PCPSA4", ISSN = "0008-1981", MRclass = "65.0X", MRnumber = "33192", MRreviewer = "E. Bodewig", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0034.37601", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Proceedings of the Cambridge Philosophical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP", ZBmath = "3053038", } @Article{Todd:1950:NMN, author = "John Todd", title = "Notes on modern numerical analysis. {I}. {Solution} of differential equations by recurrence relations", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "4", pages = "39--44", year = "1950", CODEN = "MTTCAS", ISSN = "0891-6837,2326-4853", MRclass = "65.0X", MRnumber = "38731", MRreviewer = "H. Polachek", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematical Tables and other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1950:REL, author = "John Todd", title = "On the relative extrema of the {Laguerre} orthogonal functions", journal = "Bollettino della Unione Matematica Italiana. Series III", volume = "5", pages = "122--125", year = "1950", MRclass = "41.1X", MRnumber = "37943", MRreviewer = "A. Erd\'{e}lyi", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0039.07601", acknowledgement = ack-nhfb, ajournal = "Boll. Un. Mat. Ital. (3)", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Bollettino della Unione Matematica Italiana. Series III", ZBmath = "3059058", } @Article{Todd:1950:SDE, author = "John Todd", title = "Solution of Differential Equations by Recurrence Relations (in Automatic Computing Machinery; Discussions)", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "4", number = "29", pages = "39--44", month = jan, year = "1950", CODEN = "MTTCAS", ISSN = "0891-6837 (print), 2326-4853 (electronic)", ISSN-L = "0891-6837", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib; JSTOR database", URL = "https://www.jstor.org/stable/2002701", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Szasz:1951:CCR, author = "Otto Sz{\'a}sz and John Todd", title = "Convergence of {Cauchy--Riemann} sums to {Cauchy--Riemann} integrals", journal = j-J-RES-NATL-BUR-STAND-1934, volume = "47", pages = "191--196", year = "1951", ISSN = "0091-0635", MRclass = "27.2X", MRnumber = "44615", MRreviewer = "A. E. Ingham", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0045.33102", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Research of the National Bureau of Standards", journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers", ZBmath = "3070547", } @Article{Taussky:1951:CRP, author = "Olga Taussky and John Todd", title = "The characteristic roots of products of matrices with rational integral elements", journal = j-BULL-AMS, volume = "57", number = "2", pages = "123--123", month = mar, year = "1951", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1951-09479-3", ISSN = "0273-0979 (print), 1088-9485 (electronic)", ISSN-L = "0002-9904", bibdate = "Wed Mar 28 06:39:39 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Book{Todd:1951:TAR, author = "John Todd", title = "Table of Arctangents of Rational Numbers", volume = "11", publisher = pub-USGPO, address = pub-USGPO:adr, pages = "xi + 105", year = "1951", MRclass = "65.0X", MRnumber = "40796", MRreviewer = "J. C. P. Miller", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "National Bureau of Standards Applied Mathematics Series", ZMnumber = "0045.22304", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3070119", } @Article{Newman:1952:APSd, author = "D. J. Newman and J. D. Swift and John Todd", title = "Advanced Problems and Solutions: 4436", journal = j-AMER-MATH-MONTHLY, volume = "59", number = "9", pages = "640--641", month = nov, year = "1952", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:36:52 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "See also \cite{Breusch:1951:APS,Gaddum:1951:APS}.", URL = "https://www.jstor.org/stable/2306782", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Taussky:1952:SEMa, author = "Olga Taussky and John Todd", title = "Systems of equations, matrices and determinants. {I}", journal = j-MATH-MAG, volume = "26", number = "2", pages = "9--20", month = sep # "\slash " # oct, year = "1952", CODEN = "MAMGA8", DOI = "https://doi.org/10.2307/3029837", ISSN = "0025-570X (print), 1930-0980 (electronic)", MRclass = "09.0X", MRnumber = "0053058", MRreviewer = "W. Givens", bibdate = "Sat Mar 24 12:12:36 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3029837", ZMnumber = "0048.24906", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", remark = "Reprinted in \cite{Taussky:1957:SEM}.", xxfjournal = "Delta. University of Wisconsin", xxISSN = "0011-801X", ZBmath = "3075801", } @Article{Taussky:1952:SEMb, author = "Olga Taussky and John Todd", title = "Systems of equations, matrices and determinants. {II}", journal = j-MATH-MAG, volume = "26", number = "2", pages = "71--88", month = sep # "\slash " # oct, year = "1952", CODEN = "MAMGA8", DOI = "https://doi.org/10.2307/3029837", ISSN = "0025-570X (print), 1930-0980 (electronic)", MRclass = "09.0X", MRnumber = "0053058", MRreviewer = "W. Givens", bibdate = "Sat Mar 24 12:12:36 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3029698", ZMnumber = "0048.24906", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", remark = "Reprinted in \cite{Taussky:1957:ASE}.", xxfjournal = "Delta. University of Wisconsin", xxISSN = "0011-801X", ZBmath = "3075801", } @Article{Todd:1952:BRP, author = "John Todd", title = "Book Review: {{\booktitle{Programmgesteuerte digitale Rechenger{\"a}te (elektronische Rechenmaschinen)}}, By H. Ruthishauser, A. Speiser, and E. Stiefel. (Mitteilungen aus dem Institut fur angewandte Mathematik, no. 2.) Basel, Birkh{\"a}user, 1951. 102 pp. 8.50 Swiss fr.}", journal = j-BULL-AMS, volume = "58", number = "2", pages = "278--279", month = mar, year = "1952", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/s0002-9904-1952-09611-7", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", remark = "From the one-paragraph review: ``In addition to sections on history and bibliography there are careful discussions of the organization of machines, the representation of numbers, the handling of the elementary operations, possible address-systems, flow-diagrams, multiple-precision operations, checks.''", subject-dates = "Eduard Stiefel (21 April 1909--25 November 1978); Heinz Rutishauser (30 January 1918--10 November 1970)", } @InCollection{Todd:1953:EIM, author = "John Todd", editor = "L. J. (Lowell J.) Paige and Olga Taussky", booktitle = "Simultaneous Linear Equations and the Determination of Eigenvalues", title = "Experiments on the Inversion of a $ 16 \times 16 $ Matrix", number = "29", publisher = pub-NBS, address = pub-NBS:adr, pages = "113--115", year = "1953", MRclass = "65.0X", MRnumber = "57025", bibdate = "Sun Dec 18 15:23:29 GMT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", series = "National Bureau of Standards Applied Mathematics Series", ZMnumber = "0052.35001", author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3083849", } @TechReport{Taussky:1954:GTP, author = "Olga Taussky and John Todd", title = "Generation and Testing of Pseudo-Random Numbers", type = "Report", number = "3370", institution = pub-NBS, address = pub-NBS:adr, pages = "ii + 16", day = "22", month = jun, year = "1954", DOI = "https://doi.org/10.6028/nbs.rpt.3370", bibdate = "Thu Mar 29 10:01:35 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "https://nvlpubs.nist.gov/nistpubs/Legacy/RPT/nbsreport3370.pdf", abstract = "We shall confine our attention to generation and testing of sequences of pseudo-random numbers by arithmetical processes on automatic high speed digital computers. We shall also confine our attention mainly to a uniform distribution of random numbers not random digits. The approximation of normal deviates and other random variates by polynomials in uniform variates has been discussed in detail by Teichroew [13]; for other methods, e.g., acceptance or rejection methods, see von Neumann [6, 36--38] and Votaw and Rafferty [l6].", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1954:CCM, author = "John Todd", title = "The condition of certain matrices. {II}", journal = j-ARCH-MATH, volume = "5", pages = "249--257", year = "1954", CODEN = "ACVMAL", DOI = "https://doi.org/10.1007/BF01898363", ISSN = "0003-889X,1420-8938", ISSN-L = "0003-889X", MRclass = "65.0X", MRnumber = "66033", MRreviewer = "H. H. Goldstine", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0055.35502", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Archiv der Mathematik", journal-URL = "http://link.springer.com/journal/volumesAndIssues/13", ZBmath = "3088472", } @InCollection{Todd:1954:CFS, author = "John Todd", editor = "Olga Taussky", booktitle = "Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues", title = "The Condition of the Finite Segments of the {Hilbert} Matrix", number = "39", publisher = pub-NBS, address = pub-NBS:adr, pages = "109--116", year = "1954", MRclass = "65.0X", MRnumber = "68304", MRreviewer = "J. C. P. Miller", bibdate = "Wed Dec 14 20:42:16 GMT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", series = "National Bureau of Standards Applied Mathematics Series", ZMnumber = "0058.01003", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3092568", } @Article{Todd:1954:EEI, author = "John Todd", title = "Evaluation of the exponential integral for large complex arguments", journal = j-J-RES-NATL-BUR-STAND-1934, volume = "52", pages = "313--317", year = "1954", DOI = "https://doi.org/10.6028/jres.052.045", ISSN = "0091-0635", MRclass = "65.0X", MRnumber = "61475", MRreviewer = "H. B{\"{u}}ckner", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0055.36002", acknowledgement = ack-nhfb, ajournal = "J. Research Nat. Bur. Standards", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Research of the National Bureau of Standards", journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers", ZBmath = "3088493", } @Article{Todd:1954:ESD, author = "John Todd", title = "Experiments in the solution of differential equations by {Monte Carlo} methods", journal = j-J-WASH-ACAD-SCI, volume = "44", pages = "377--381", year = "1954", CODEN = "JWASA3", ISSN = "0043-0439", MRclass = "65.0X", MRnumber = "67584", MRreviewer = "J. H. Curtiss", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/24533326", ZMnumber = "0059.11101", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of the Washington Academy of Sciences", journal-URL = "http://www.jstor.org/journal/jwashacadscie", ZBmath = "3094575", } @InProceedings{Todd:1954:MWN, author = "John Todd", editor = "????", booktitle = "Transactions of {2nd Symposium on Applied Mathematics, 29 April 1954, University of Chicago}", title = "Motivation for working on numerical analysis", publisher = pub-AMS, address = pub-AMS:adr, pages = "????", year = "1954", bibdate = "Fri Oct 20 13:28:45 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", remark = "Sponsored by the American Mathematical Society and the Office of Ordnance Research", } @Article{Todd:1954:OFR, author = "J. Todd", title = "Obituary: {L. F. Richardson} (1881--1953)", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "8", pages = "242--245", year = "1954", CODEN = "MTTCAS", ISSN = "0891-6837,2326-4853", MRclass = "01.0X", MRnumber = "63988", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematical Tables and other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1954:RMB, author = "John Todd", title = "Reply to {Mrs. Bernice Brown's Comment on ``Systems of Equations, Matrices, and Determinants''}", journal = j-MATH-MAG, volume = "27", number = "5", pages = "288--288", month = may # "\slash " # jun, year = "1954", CODEN = "MAMGA8", ISSN = "0025-570X", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3029242", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", } @Article{Fan:1955:API, author = "Ky Fan and Olga Taussky and John Todd", title = "An algebraic proof of the isoperimetric inequality for polygons", journal = j-J-WASH-ACAD-SCI, volume = "45", pages = "339--342", year = "1955", CODEN = "JWASA3", ISSN = "0043-0439", MRclass = "52.0X", MRnumber = "75620", MRreviewer = "G. A. Dirac", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/24534441", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of the Washington Academy of Sciences", journal-URL = "http://www.jstor.org/journal/jwashacadscie", } @Article{Fan:1955:DAI, author = "Ky Fan and Olga Taussky and John Todd", title = "Discrete analogs of inequalities of {Wirtinger}", journal = j-MONAT-MATH, volume = "59", pages = "73--90", year = "1955", CODEN = "MNMTA2", DOI = "https://doi.org/10.1007/BF01302991", ISSN = "0026-9255,1436-5081", ISSN-L = "0026-9255", MRclass = "27.0X", MRnumber = "70676", MRreviewer = "G. E. Forsythe", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0064.29803", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Monatshefte f{\"{u}}r Mathematik", journal-URL = "http://link.springer.com/journal/605", ZBmath = "3109590", } @Article{Fan:1955:DI, author = "Ky Fan and John Todd", title = "A determinantal inequality", journal = j-J-LOND-MATH-SOC, volume = "30", number = "1", pages = "58--64", month = jan, year = "1955", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s1-30.1.58", ISSN = "0024-6107,1469-7750", ISSN-L = "0024-6107", MRclass = "09.0X", MRnumber = "67062", MRreviewer = "J. L. Brenner", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0064.01401", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "The Journal of the London Mathematical Society", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", ZBmath = "3108396", } @Article{Todd:1955:BBN, author = "John Todd", title = "{Begr{\"u}ndung f{\"u}r die Besch{\"a}ftigung mit numerischer Analysis}. ({German}) [{Reason} for engaging in numerical analysis]", journal = j-DEUTSCH-MATH-V, volume = "58", pages = "11--38", year = "1955", ISSN = "0012-0456 (print), 1869-7135 (electronic)", MRclass = "65.0X", MRnumber = "70252", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0064.37401", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Jahresbericht der Deutschen Mathematiker-Vereinigung", ZBmath = "3109831", } @TechReport{Todd:1955:ECC, author = "John Todd", title = "Experiments in the computation of conformal maps", number = "42", institution = pub-USGPO, address = pub-USGPO:adr, pages = "61", year = "1955", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "National Bureau of Standards Applied Mathematics Series", ZMnumber = "0067.35901", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3114713", } @Article{Todd:1955:MWN, author = "John Todd", title = "Motivation for working in numerical analysis", journal = j-COMM-PURE-APPL-MATH, volume = "8", number = "1", pages = "97--116", month = feb, year = "1955", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.3160080107", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "65.0X", MRnumber = "70251", MRreviewer = "G. E. Forsythe", bibdate = "Fri Oct 20 08:38:37 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", ZMnumber = "0064.37402", acknowledgement = ack-nhfb, ajournal = "Comm. Pure Appl. Math.", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", keywords = "characteristic roots (eigenvalues) of finite matrices; game theory; integral equations; modified differences; Monte Carlo; number of multiplications to evaluate a polynomial; polynomial evaluation; quadrature; recent activity in numerical analysis; sequence convergence acceleration; theory of machines (automata)", remark-1 = "This may be the earliest paper to note that a polynomial of degree $n$ can be evaluated with fewer than $n$ multiplications, but requiring more than $n$ additions. The normal Horner form requires $n$ multiply and $n$ add operations: $ h = a_n $, $ h = x h + a_k $ (for $ k = n - 1 $ to $0$), and on modern hardware can be conveniently evaluated in $n$ consecutive fused multiply-add operations. However, the evaluation of the altered forms often has terms of differing signs, and may be subject to catastrophic leading digit loss, when the original polynomial, if it had coefficients of the same sign, might have been computed stably for $ x > 0$. In some cases, the new coefficients are complex, even when those of the original polynomial are real numbers. See also related publications \cite{Ostrowski:1954:TPA, Todd:1954:MWN, Motzkin:1955:EP, Motzkin:1955:ERF, Belaga:1958:SPI, Pan:1959:CSC, Pan:1959:SCP, Floyd:1961:ACE, Dorn:1962:GHR, Knuth:1962:EPC, Eisman:1963:PER, Eve:1964:EP, Rice:1965:CPR, Winograd:1970:NMN, Rabin:1972:FEP, Miller:1975:CCN, Knuth:1998:EP, Kusterer:1979:SEP, Ceberio:2002:HRI}. Rice reports extreme numerical instability of the Belaga and Motzkin forms, and moderate instability of the Pan forms, while the Chebyshev form is never unstable. Todd cites Motzkin's work as ``to appear'', and those two one-paragraph abstracts were received 12 November 1954 and published in March 1955, but Todd's paper has no received date, so we cannot determine their relative priority. Entry \cite{Ostrowski:1954:TPA} may be prior art, but a copy of that work has not yet been located. The quotation in entry \cite{Eve:1964:E} summarizes the bounds on the number of add and multiply operations.", remark-2 = "Knuth's treatment (Knuth:1962:EPC) concentrates on operation counts, because the polynomial variable need not be a real scalar floating-point number: it could be complex, multiple precision, matrix, series, ..., where multiplication is relatively expensive. Knuth remarks on page 485 that ``numerical analysis of the accuracy achieved \ldots{} is beyond the scope of this book: the reader should be careful to investigate the accuracy of any calculations undertaken with floating-point arithmetic.'' On page 486, Knuth notes that the nested form is often attributed to Horner:1819:XNM, but that Isaac Newton used it in unpublished notes 150 years earlier, and it was employed by the Chinese in the 13th century CE.", remark-3 = "The year of this paper is erroneously cited in reference lists of several sources as 1951, rather than the correct 1955.", ZBmath = "3109832", } @InCollection{Todd:1955:SLG, author = "John Todd and S. E. Warschawski", booktitle = "Experiments in the computation of conformal maps", title = "On the solution of the {Lichtenstein--Gershgorin} integral equation in conformal mapping. {II}. {Computational} experiments", volume = "No. 42", publisher = pub-USGPO, address = pub-USGPO:adr, pages = "31--44", year = "1955", MRclass = "65.0X", MRnumber = "74122", MRreviewer = "W. Seidel", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "National Bureau of Standards Applied Mathematics Series", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Taussky:1956:CBT, author = "Olga Taussky and John Todd", title = "Commuting bilinear transformations and matrices", journal = j-J-WASH-ACAD-SCI, volume = "46", number = "12", pages = "373--375", month = dec, year = "1956", CODEN = "JWASA3", ISSN = "0043-0439", MRclass = "10.2X", MRnumber = "86094", MRreviewer = "D. H. Lehmer", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/24533908", ZMnumber = "0073.00804", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of the Washington Academy of Sciences", journal-URL = "http://www.jstor.org/journal/jwashacadscie", ZBmath = "3121637", } @InProceedings{Taussky:1956:GTP, author = "Olga Taussky and John Todd", booktitle = "Symposium on {Monte Carlo methods, University of Florida, 1954}", title = "Generation and testing of pseudo-random numbers", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "15--28", year = "1956", MRclass = "68.0X", MRnumber = "80382", MRreviewer = "D. H. Lehmer", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1956:BRN, author = "John Todd", title = "Book Review: {{\booktitle{Numerical Analysis}}. Proceedings of Symposia in Applied Mathematics, vol. VI. John H. Curtiss, Ed. McGraw-Hill, New York, 1956. 303 pp. \$9.75}", journal = j-SCIENCE, volume = "124", number = "3233", pages = "1211--1211", day = "14", month = dec, year = "1956", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.124.3233.1211.a", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/1752848", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Todd:1956:DAP, author = "John Todd", title = "A direct approach to the problem of stability in the numerical solution of partial differential equations", journal = j-COMM-PURE-APPL-MATH, volume = "9", number = "3", pages = "597--612", year = "1956", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.3160090328", ISSN = "0010-3640,1097-0312", ISSN-L = "0010-3640", MRclass = "65.3X", MRnumber = "81000", MRreviewer = "Jack K. Hale", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0070.35107", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Communications on Pure and Applied Mathematics", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ZBmath = "3117894", } @Article{Taussky-Todd:1957:ASE, author = "Olga Taussky-Todd and John Todd", title = "Applications of Systems of Equations, Matrices, and Determinants", journal = j-MATH-MAG, volume = "??", number = "??", year = "1957", CODEN = "MAMGA8", ISSN = "0025-570X", bibdate = "Fri Mar 23 14:38:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "Special issue: ``The Tree of Mathematics''.", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", } @InCollection{Taussky:1957:ASE, author = "Olga Taussky and John Todd", title = "Applications of systems of equations, matrices and determinants", crossref = "James:1957:TM", chapter = "24", pages = "310--337", year = "1957", bibdate = "Tue Mar 27 10:53:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.questia.com/read/86015503/the-tree-of-mathematics", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", remark = "Reprint of \cite{Taussky:1952:SEMb}", } @InCollection{Taussky:1957:SEM, author = "Olga Taussky and John Todd", title = "Systems of equations, matrices and determinants", crossref = "James:1957:TM", chapter = "23", pages = "305--318", year = "1957", bibdate = "Tue Mar 27 10:53:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.questia.com/read/86015489/the-tree-of-mathematics", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", remark = "Reprint of \cite{Taussky:1952:SEMa}", } @Article{Todd:1957:BBNa, author = "J. Todd", title = "{Begr{\"u}ndung f{\"u}r die Besch{\"a}ftigung mit numerischer Analysis}. ({German}) [{Reason} for engaging in numerical analysis]", journal = "Mat. Prosveshchenie", volume = "1", number = "??", pages = "75--86", year = "1957", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0087.32403", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", language = "Russian", ZBmath = "3143124", } @Article{Todd:1957:BBNb, author = "J. Todd", title = "{Begr{\"u}ndung f{\"u}r die Besch{\"a}ftigung mit numerischer Analysis}. ({German}) [{Reason} for engaging in numerical analysis]", journal = "Mat. Prosveshchenie", volume = "2", number = "??", pages = "97--110", year = "1957", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0087.32403", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", language = "Russian", ZBmath = "3143124", } @Article{Kreyszig:1958:RUE, author = "Erwin Kreyszig and John Todd", title = "The radius of univalence of the error function", journal = j-BULL-AMS, volume = "64", pages = "363--364", year = "1958", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0002-9904-1958-10233-5", ISSN = "0002-9904 (print), 1936-881x (electronic)", ISSN-L = "0002-9904", MRclass = "30.00 (33.00)", MRnumber = "99431", MRreviewer = "Z. Nehari", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0090.05002", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", ZBmath = "3146944", } @Article{Newman:1958:EMI, author = "Morris Newman and John Todd", title = "The evaluation of matrix inversion programs", journal = j-J-SIAM, volume = "6", number = "4", pages = "466--476", month = dec, year = "1958", CODEN = "JSIMAV", DOI = "https://doi.org/10.1137/0106030", ISSN = "0368-4245", MRclass = "65.00", MRnumber = "100348", MRreviewer = "H. H. Goldstine", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2098717", ZMnumber = "0085.34305", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/loi/smjmap.1", ZBmath = "3140034", } @Article{Todd:1958:BRC, author = "John Todd", title = "Book Review: {Cornelius Lanczos, {\em Applied analysis}}", journal = j-BULL-AMS, volume = "64", number = "4", pages = "210--211", month = "????", year = "1958", CODEN = "BAMOAD", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibdate = "Sat Jun 11 00:08:53 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://projecteuclid.org/euclid.bams/1183522571", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Todd:1958:BRT, author = "John Todd", title = "Book Review: {{\booktitle{Tables of Values of 16 Integrals of Algebraic-Hyperbolic Type}} by Chih-Bing Ling}", journal = j-MATH-COMPUT, volume = "12", number = "64", pages = "306--306", month = oct, year = "1958", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2002419", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1958:CCM, author = "John Todd", title = "The condition of certain matrices. {III}", journal = j-J-RES-NATL-BUR-STAND-1934, volume = "60", pages = "1--7", year = "1958", DOI = "https://doi.org/10.6028/jres.060.001", ISSN = "0160-1741", MRclass = "65.00", MRnumber = "94899", MRreviewer = "J. Schr{\"{o}}der", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0093.13301", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Research of the National Bureau of Standards", journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers", ZBmath = "3151954", } @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", year = "1959", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386375", ISSN = "0029-599X,0945-3245", ISSN-L = "0029-599X", MRclass = "30.00 (33.00)", MRnumber = "101918", MRreviewer = "M. S. Robertson", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0086.06203", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", ZBmath = "3140681", } @Article{Kreyszig:1959:RUF, author = "Erwin Kreyszig and John Todd", title = "On the radius of univalence of the function $ \exp z^2 \int_0^z \exp ( - t^2) \, d t $", journal = j-PAC-J-MATH, volume = "9", pages = "123--127", year = "1959", CODEN = "PJMAAI", DOI = "https://doi.org/10.2140/pjm.1959.9.123", ISSN = "0030-8730,1945-5844", ISSN-L = "0030-8730", MRclass = "33.00", MRnumber = "107032", MRreviewer = "Z. Nehari", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://projecteuclid.org/euclid.pjm/1103039457", ZMnumber = "0085.06601", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", ZBmath = "3139081", } @Article{Todd:1959:BRC, author = "John Todd", title = "Book Review: {{\booktitle{Constructive Theory of Function}} by I. P. Natanson, K. Bogel}", journal = j-MATH-COMPUT, volume = "13", number = "65", pages = "64--67", month = jan, year = "1959", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2002205", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1959:BRS, author = "John Todd", title = "Book Review: {{\booktitle{Subtabulation, A Companion Booklet to Interpolation and Allied Tables}}, by Her Majesty's Nautical Almanac Office}", journal = j-MATH-COMPUT, volume = "13", number = "66", pages = "127--129", month = apr, year = "1959", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2001970", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1959:BRF, author = "John Todd", title = "Book Review: {L. Fox. \booktitle{The use and construction of mathematical tables}. National Physical Lab., Math. Tables, v. 1, Her Majesty's Stationery Office, London, England, 1956, 60 p., 27.5 cm.};", journal = j-MATH-COMPUT, volume = "13", number = "65", pages = "61--64", month = jan, year = "1959", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2002204", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2002204", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", subject-dates = "Leslie Fox (30 September 1918--1 August 1992)", } @InProceedings{Todd:1959:SPN, author = "John Todd", booktitle = "On numerical approximation. {Proceedings of a Symposium, Madison, April 21-23, 1958}", title = "Special polynomials in numerical analysis", volume = "no. 1", publisher = "University of Wisconsin Press", address = "Madison, WI, USA", pages = "423--446", year = "1959", MRclass = "65.00", MRnumber = "100957", MRreviewer = "S. Kulik", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "Edited by R. E. Langer", series = "Publication of the Mathematics Research Center, U.S. Army, the University of Wisconsin", ZMnumber = "0083.35101", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3136950", } @Article{Kreyszig:1960:RUB, author = "Erwin Kreyszig and John Todd", title = "The radius of univalence of {Bessel} functions. {I}", journal = j-ILL-J-MATH, volume = "4", pages = "143--149", year = "1960", CODEN = "IJMTAW", ISSN = "0019-2082 (print), 1945-6581 (electronic)", ISSN-L = "0019-2082", MRclass = "33.00 (30.00)", MRnumber = "110827", MRreviewer = "F. W. J. Olver", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://projecteuclid.org/euclid.ijm/1255455740", ZMnumber = "0091.06203", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Illinois Journal of Mathematics", ZBmath = "3148561", } @InProceedings{Taussky:1960:SDV, author = "Olga Taussky and John Todd", booktitle = "Proceedings of the Symposium on Applied Mathematics", title = "Some discrete variable computations", volume = "10", publisher = pub-AMS, address = pub-AMS:adr, pages = "201--209", year = "1960", MRclass = "65.00", MRnumber = "115261", MRreviewer = "Harvey Cohn", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0096.00503", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", ZBmath = "3156372", } @InProceedings{Todd:1960:CCI, author = "John Todd", booktitle = "Symposium on the numerical treatment of ordinary differential equations, integral and integro-differential equations ({Rome}, 1960)", title = "The condition of certain integral equations", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "306--311", year = "1960", MRclass = "65.35", MRnumber = "129543, 45M99", MRreviewer = "E. Isaacson", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0205.11603", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3325862", } @Article{Todd:1961:BRD, author = "John Todd", title = "Book Review: {{\booktitle{Differenzenrechnung}} by A. O. Gelfond}", journal = j-MATH-COMPUT, volume = "15", number = "74", pages = "202--203", month = apr, year = "1961", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2004236", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1961:BRP, author = "John Todd", title = "Book Review: {{\booktitle{Polynomial Expansions of Analytic Functions}} by R. P. Boas, Jr., R. C. Buck}", journal = j-MATH-COMPUT, volume = "15", number = "73", pages = "104--105", month = jan, year = "1961", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2003118", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1961:CPC, author = "John Todd", title = "Computational problems concerning the {Hilbert} matrix", journal = j-J-RES-NATL-BUR-STAND-B, volume = "65B", pages = "19--22", year = "1961", CODEN = "JNBBAU", DOI = "https://doi.org/10.6028/jres.065B.005", ISSN = "0022-4340", MRclass = "65.35", MRnumber = "129541", MRreviewer = "G. E. Forsythe", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0096.32304", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", ZBmath = "3157417", } @InCollection{Newman:1962:AC, author = "Morris Newman and John Todd", booktitle = "Survey of numerical analysis", title = "Automatic computers", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "160--207", year = "1962", MRclass = "68.00", MRnumber = "138212", MRreviewer = "J. G. Herriot", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @InCollection{Newman:1962:MC, author = "Morris Newman", editor = "John Todd", booktitle = "Survey of Numerical Analysis", title = "Matrix Computations", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "222--254", year = "1962", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", author-dates = "John Todd (16 May 1911--21 June 2007)", } @InCollection{Todd:1962:CNA, author = "John Todd", booktitle = "Survey of numerical analysis", title = "Classical numerical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "27--118", year = "1962", MRclass = "65.00", MRnumber = "138184", MRreviewer = "R. W. Hamming", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @InCollection{Todd:1962:CTF, author = "John Todd", booktitle = "Survey of numerical analysis", title = "The constructive theory of functions", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "119--159", year = "1962", MRclass = "65.55", MRnumber = "135701", MRreviewer = "J. H. Curtiss", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @InCollection{Todd:1962:MWN, author = "John Todd", booktitle = "Survey of numerical analysis", title = "Motivation for working in numerical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "1--26", year = "1962", MRclass = "65.00", MRnumber = "138183", MRreviewer = "R. W. Hamming", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1963:BRA, author = "John Todd", title = "Book Review: {{\booktitle{Advances in Computers}} by Franz L. Alt}", journal = j-MATH-COMPUT, volume = "17", number = "81", pages = "98--99", month = jan, year = "1963", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2003753", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Book{Todd:1963:ICT, author = "John Todd", title = "Introduction to the Constructive Theory of Functions", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "127", year = "1963", ISSN = "0373-3149", MRclass = "41.00", MRnumber = "156129", MRreviewer = "P. J. Davis", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "ISNM. International Series of Numerical Mathematics", ZMnumber = "0114.26903", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", remark = "Co-published with Birkh{\"a}user.", ZBmath = "3186061", } @Article{Todd:1964:BRN, author = "John Todd", title = "Book Review: {{\booktitle{Numerical Solution of Ordinary and Partial Differential Equations}} by L. Fox}", journal = j-AM-SCI, volume = "52", number = "1", pages = "116A-117A", month = mar, year = "1964", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/27838969", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", } @InProceedings{Todd:1965:PED, author = "John Todd", booktitle = "Error in Digital Computation, Vol. 1 ({Proceedings of an Advanced Seminar Conducted by [the] Mathematics Research Center, U.S. Army, University of Wisconsin, Madison, Wisconsin, 1964})", title = "The problem of error in digital computation", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "3--41", year = "1965", MRclass = "65.80", MRnumber = "178584", MRreviewer = "J. G. Herriot", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0171.12802", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3272633", } @Article{Todd:1965:SIG, author = "John Todd", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "7", pages = "171--175", year = "1965", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01397690", ISSN = "0029-599X,0945-3245", ISSN-L = "0029-599X", MRclass = "65.40", MRnumber = "182140", MRreviewer = "Friedrich L. Bauer", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0148.01703", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", ZBmath = "3238680", } @Article{Gaier:1966:RCO, author = "Dieter Gaier and John Todd", title = "On the rate of convergence of optimal {ADI} processes", journal = j-NUM-MATH, volume = "9", pages = "452--459", year = "1966/67", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162159", ISSN = "0029-599X,0945-3245", ISSN-L = "0029-599X", MRclass = "65.66", MRnumber = "216774", MRreviewer = "D. M. Young, Jr.", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @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 = "https://doi.org/10.1007/BF02162159", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0154.41101", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", ZBmath = "3248524", } @Article{Todd:1967:BRA, author = "John Todd", title = "Book Review: {{\booktitle{Analysis of Numerical Methods}} by E. Isaacson, H. B. Keller}", journal = j-AM-SCI, volume = "55", number = "2", pages = "240A-240A", month = jun, year = "1967", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/27836902", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", } @InProceedings{Todd:1967:ICZ, author = "John Todd", booktitle = "Inequalities ({Proceedings of a Symposium at Wright-Patterson Air Force Base, Ohio, 1965})", title = "Inequalities of {Chebyshev}, {Zolotareff}, {Cauer}, and {W. B. Jordan}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "321--328", year = "1967", MRclass = "41.40", MRnumber = "222532", MRreviewer = "C. W. Clenshaw", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @InProceedings{Todd:1967:OP, author = "John Todd", booktitle = "{Funktionalanalysis, Approximationstheorie, Numerische Mathematik (Oberwolfach, 1965)}", title = "Optimal {ADI}-Parameters", volume = "7", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "58--69", year = "1967", DOI = "https://doi.org/10.1007/978-3-0348-5821-2_8", MRclass = "65.10", MRnumber = "229363", MRreviewer = "N. Gastinel", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "Internat. Schriftenreihe Numer. Math.", ZMnumber = "0153.46503", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3246716", } @InProceedings{Todd:1968:CN, author = "J. Todd", booktitle = "Programmation en Math{\'e}matiques Num{\'e}riques, Besan{\c{c}}on, 1966", title = "On Condition Numbers", volume = "7 (number 165)", publisher = "CNRS", address = "Paris, France", pages = "141--159", year = "1968", MRclass = "65.35, 65F35, 65-02, 15A12", MRnumber = "230462", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", series = "{\'E}ditions Centre Nat. Recherche Sci., Paris", ZMnumber = "0207.15504", author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3329395", } @Article{Todd:1970:BRA, author = "J. Todd", title = "Book Review: {{\booktitle{Approximations with Special Emphasis on Spline Functions. Proceedings of a symposium, Madison, Wis., May 1969}}. I. J. Schoenberg, Ed. Academic Press, New York, 1969. xii + 492 pp., illus. \$10. Publication No. 23 of the U.S. Army Mathematics Research Center, University of Wisconsin}", journal = j-SCIENCE, volume = "168", number = "3936", pages = "1196--1196", day = "5", month = jun, year = "1970", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.168.3936.1196", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/1729620", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", } @Article{Todd:1970:CS, author = "John Todd", title = "Comprehensive Statistics", journal = "Critical Survey", volume = "5", number = "1", pages = "49--53", month = "Winter", year = "1970", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/41553850", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1970:TES, author = "John Todd", title = "Table erratum: {``Sechsstellige Tafel der Cauer-Parameter'' (Bayer. Akad. Wiss. Math.-Natur. Kl. Abh. (N.F.) Heft {\bf 67} (1955)) by Ernst Glowatzki}", journal = j-MATH-COMPUT, volume = "24", number = "112", pages = "999", year = "1970", CODEN = "MCMPAF", ISSN = "0025-5718,1088-6842", ISSN-L = "0025-5718", MRclass = "65A05 (94A20)", MRnumber = "400640", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://links.jstor.org/sici?sici=0025-5718(197010)24:112<999:TE>2.0.CO;2-X&origin=MSN", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Todd:1971:BRQ, author = "John Todd", title = "Book Review: {{\booktitle{Quadrature Formulae}} by A. Ghizzetti, A. Ossicini}", journal = j-AM-SCI, volume = "59", number = "3", pages = "380--380", month = may # "\slash " # jun, year = "1971", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/27829677", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", } @Article{Liang:1972:SC, author = "J. J. Y. Liang and John Todd", title = "The {Stieltjes} constants", journal = j-J-RES-NATL-BUR-STAND-B, volume = "76B", pages = "161--178", year = "1972", CODEN = "JNBBAU", ISSN = "0022-4340", MRclass = "65B15 (10H05)", MRnumber = "326974", MRreviewer = "Friederich Goetze", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Research of the National Bureau of Standards. Section B. Mathematics and Mathematical Physics", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", } @Article{Hwang:1973:RRS, author = "W. G. Hwang and John Todd", title = "A recurrence relation for the square root", journal = j-J-APPROX-THEORY, volume = "9", pages = "299--306", year = "1973", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/0021-9045(73)90075-0", ISSN = "0021-9045,1096-0430", ISSN-L = "0021-9045", MRclass = "65H05", MRnumber = "373270", MRreviewer = "L. Fox", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", ZMnumber = "0271.65032", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", received = "19 April 1971", ZBmath = "3426800", } @Article{Liang:1973:SC, author = "J. J. Y. Liang and John Todd", title = "The {Stieltjes} constants", journal = j-J-RES-NATL-BUR-STAND-B, volume = "76", pages = "161--178", year = "1973", CODEN = "JNBBAU", ISSN = "0022-4340 (print), 2376-5283 (electronic)", ISSN-L = "0022-4340", MRclass = "11M06, 65B10, 65B15", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0257.10017", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of Research of the National Bureau of Standards, Section B", journal-URL = "http://www.nist.gov/nvl/jrespastpapers.cfm", ZBmath = "3406034", } @Article{Todd:1974:JNN, author = "John Todd", title = "{John von Neumann} and the {National Accounting Machine}", journal = j-SIAM-REVIEW, volume = "16", number = "4", pages = "526--530", month = "????", year = "1974", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1016084", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "01A60 (68-03), 01A65, 65-03, 68-03", MRnumber = "0351720 (50 \#4208)", MRreviewer = "M. Kline", bibdate = "Thu Mar 27 09:07:05 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/16/4; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See also \cite{Comrie:1936:IIS}.", URL = "https://www.jstor.org/stable/2028693", ZMnumber = "0296.01024", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "October 1974", ZBmath = "3463596", } @Article{Todd:1975:CLC, author = "John Todd", title = "Corrigendum: {``The Lemniscate Constants''}", journal = j-CACM, volume = "18", number = "8", pages = "462--462", month = aug, year = "1975", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Tue Dec 26 18:42:09 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/cacm1970.bib", note = "See \cite{Todd:1975:LC}.", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/cacm", } @Article{Todd:1975:LC, author = "John Todd", title = "The Lemniscate Constants", journal = j-CACM, volume = "18", number = "1", pages = "14--19", month = jan, year = "1975", CODEN = "CACMA2", DOI = "https://doi.org/10.1145/360569.360580", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "33E05, 65D20", MRnumber = "51 11935", MRreviewer = "L. Fox", bibdate = "Mon Jan 22 07:26:25 MST 2001", bibsource = "Compendex database; http://dblp.uni-trier.de/db/journals/cacm/cacm18.html#Todd75; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/cacm1970.bib", note = "Collection of articles honoring {Alston S. Householder}. See corrigendum \cite{Todd:1975:CLC}. Reprinted in \cite{Todd:2000:LC}.", ZMnumber = "0298.33001", abstract = "The lemniscate constants, and indeed some of the methods used for actually computing them, have played an enormous part in the development of mathematics. An account is given here of some of the methods used --- most of the derivations can be made by elementary methods. This material can be used for teaching purposes, and there is much relevant and interesting historical material. The acceleration methods developed for the purpose of evaluating these constants are useful in other problems.", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", classcodes = "B0290D (Functional analysis); B0290Z (Other numerical methods); C4120 (Functional analysis); C4190 (Other numerical methods)", classification = "921", corpsource = "California Inst. of Technol., Pasadena, CA, USA", fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/cacm", journalabr = "Commun ACM", keywords = "acceleration; acceleration methods; elliptic functions; Euler transformation; function evaluation; lemniscate; lemniscate constants; mathematical techniques; mathematics; transforms", oldlabel = "Todd75", treatment = "B Bibliography; T Theoretical or Mathematical", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Todd75", ZBmath = "3467558", } @Article{Todd:1975:NAN, author = "John Todd", title = "Numerical analysis at the {National Bureau of Standards}", journal = j-SIAM-REVIEW, volume = "17", number = "2", pages = "361--370", month = apr, year = "1975", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1017037", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65-03 (01-XX), 65-01, 01A65", MRnumber = "362812", bibdate = "Sat Oct 21 14:25:01 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2029181", ZMnumber = "0301.65001", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", ZBmath = "3471474", } @Article{Kreyszig:1976:TD, author = "E. Kreyszig and J. Todd", title = "{$ Q R $} in two dimensions", journal = j-ELEM-MATH, volume = "31", pages = "109--114", year = "1976", CODEN = "ELMMAF", ISSN = "0013-6018 (print), 1420-8962 (electronic)", ISSN-L = "0013-6018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", ZMnumber = "0361.65028", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Elemente der Mathematik", mynote = "From Olga Taussky. Typewritten, dated 10 Sept 1976.", ZBmath = "3562372", } @Book{Todd:1977:BNMb, author = "John Todd", title = "Basic Numerical Mathematics, Volume 2: Numerical Algebra", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "216", year = "1977", ISBN = "0-12-692402-3", ISBN-13 = "978-0-12-692402-2", ISSN = "0373-3149", LCCN = "QA297 .T58 1978", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", ZMnumber = "0354.65018", author-dates = "John Todd (16 May 1911--21 June 2007)", mynote = "The JRL copy has 1978 date for AP, but copyright date 1977 Birk. Only one ISBN is given.", tableofcontents = "Notations and Abbreviations / 7 \\ Preface / 9 \\ 1: Manipulation of Vectors and Matrices / 13 \\ 2: Norms of Vectors and Matrices / 16 \\ 3: Induced Norms / 19 \\ 4: The Inversion Problem I: Theoretical Arithmetic / 29 \\ 5: The Inversion Problem II: Practical Computation / 44 \\ 6: The Characteristic Value Problem --- Generalities / 53 \\ 7: The Power Method, Deflation, Inverse Iteration / 65 \\ 8: Characteristic Values / 71 \\ 9: Iterative Methods for the Solution of Systems $ A x = b $ / 83 \\ 10: Application: Solution of a Boundary Value Problem / 99 \\ 11: Application: Least Squares Curve Fitting / 105 \\ 12: Singular Value Decomposition and Pseudo-Inverses / 110 \\ Solution to Selected Problems / 117 \\ Bibliographical Remarks / 212 \\ Index / 214", xxaddress = pub-BIRKHAUSER:adr, xxpublisher = pub-BIRKHAUSER, xxpublisher = "Birkh{\"a}user (Basel) and Academic Press (New York)", ZBmath = "3551782", } @Book{Todd:1978:BNMa, author = "John Todd", title = "Basic Numerical Mathematics, Volume 1: Numerical Analysis", volume = "14, 22", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "253", year = "1978", ISBN = "0-12-692401-5", ISBN-13 = "978-0-12-692401-5", ISSN = "0373-3149", LCCN = "QA297 .T58 1978", MRclass = "65-01, 65Bxx, 65Hxx, 65Dxx, 65Q05, 65L05, 33C10", bibdate = "Tue Mar 27 18:01:38 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "International series of numerical mathematics", ZMnumber = "0454.65001", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", remark = "Library catalog entries show years of 1977, 1978, 1979, 1980, and 1981 with same ISBN.", subject = "Numerical analysis; Data processing", tableofcontents = "Volume 1 \\ Notation and Abbreviations / 8 \\ Preface / 10 \\ 1: The algorithms of Gauss, Borchardt and Carlson / 13 \\ 2: Orders of magnitude and rates of convergence / 24 \\ 3: Recurrence relations for powers / 33 \\ 4: The solution of equations / 46 \\ 5: Uniform convergence and approximation / 55 \\ 6: The acceleration processes of Aitken and Euler / 66 \\ 7: Asymptotic series / 73 \\ 8: Interpolation / 84 \\ 9: Quadrature / 97 \\ 10: Difference equations, differentiation and differential equations / 118 \\ Appendix: Bessel functions / 141 \\ Solutions to Selected Problems / 159 \\ Bibliographical Remarks / 247 \\ Table of Contents, Volume 2, Numerical Algebra / 250 \\ Index / 251", xxnote = "The xxtableofcontents value does NOT match that shown in the Google Books' view of volume 1. I have entered the correct data by hand.", xxtableofcontents = "\ldots{} \\ Practical Computation and Theoretical Arithmetic Chapter 3. Problems \\ Chapter 4. The Solution of Equations \\ 1. Quadratic Equations \\ 2. Bad Examples \\ 3. Newton's Process \\ 4. Newton's Process for Polynomial Equations \\ Chapter 4. Problems \\ Chapter 5. Uniform Convergence and Approximations \\ 1. Uniform Convergence \\ 2. Weierstrass Theorem. Bernstein Proof \\ 3. Best Approximation: Chebyshev Polynomials \\ Chapter 5. Problems \\ Chapter 6. The Acceleration Processes of Aitken and Euler \\ 1. The Aitken Transform of a Sequence \\ 2. The Euler Transform of an Alternating Series \\ Chapter 6. Problems \\ Chapter 7. Asymptotic Series \\ 1. A Classical Example \\ 2. The Fresnel Integrals \\ 3. The Error Functions \\ 4. The Gamma Function \\ 5. The Computation of Functions \\ 6. The Tabulation of Functions \\ Chapter 7. Problems \\ Chapter 8. Interpolation \\ 1. Lagrangian Interpolation \\ 2. Aitken's Algorithm \\ 3. Inverse Interpolation \\ 4. Errors in Interpolation \\ 5. Hermite Interpolation \\ Chapter 8. Problems \\ Chapter 9. Quadrature \\ 1. Trapezoidal Quadrature \\ 2. Richardson \\ Extrapolation \\ Romberg Quadrature \\ 3. Gaussian Quadrature \\ 4. Gauss \\ Chebyshev Quadrature \\ 5. The Lemniscate Constants \\ 6. Stirling's Formula Chapter 9. Problems \\ Chapter 10. Difference Equations, Differentiation and Differential Equations \\ 1. Difference Equations \\ 2. Differencing \\ 3. Differentiation \\ 4. Differential Equations \\ Types of Problems \\ 5. Numerical Solution: Picard, Euler, Heun \\ 6. Milne-Simpson Predictor-Corrector \\ 7. Local Taylor Series \\ 8. Instability \\ 9. Two Point Problems \\ Chapter 10. Problems \\ Appendix: Bessel Functions \\ Solutions to Selected Problems \\ Bibliographical Remarks \\ Contents Vol. 2. Numerical Algebra \\ Index", ZBmath = "3711247", } @InCollection{Todd:1978:MLM, author = "John Todd", booktitle = "International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / S{\'e}rie Internationale {d'Analyse} Num{\'e}rique", title = "The many limits of mixed means, {I}", volume = "41", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "5--22", year = "1978", DOI = "https://doi.org/10.1007/978-3-0348-5563-1_2", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "General Inequalities 1 / Allgemeine Ungleichungen. 1, {Tag}. {Oberwolfach} 1976.", ZMnumber = "0385.40001", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", keywords = "40A05,26A30", ZBmath = "3598877", } @Article{Todd:1980:JHC, author = "John Todd", title = "{John Hamilton Curtiss}, 1909--1977", journal = j-ANN-HIST-COMPUT, volume = "2", number = "2", pages = "104--110", month = apr # "\slash " # jun, year = "1980", CODEN = "AHCOE5", DOI = "https://doi.org/10.1109/MAHC.1980.10019", ISSN = "0164-1239", ISSN-L = "0164-1239", MRclass = "01A70", bibdate = "Fri Nov 1 15:29:17 MST 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib", URL = "http://dlib.computer.org/an/books/an1980/pdf/a2104.pdf; http://www.computer.org/annals/an1980/a2104abs.htm", ZMnumber = "0998.01540", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Annals of the History of Computing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650", ZBmath = "1834813", } @InProceedings{Todd:1980:SAE, author = "J. Todd", booktitle = "Numerical methods, {Keszthely 1977, Colloq. Math. Soc. Janos Bolyai}", title = "Some applications of elliptic functions and integrals", volume = "22", publisher = "????", address = "????", pages = "591--618", year = "1980", MRclass = "65D20 33B10 33E05", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0455.65013", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3713076", } @Article{Stembridge:1981:TS, author = "John R. Stembridge and John Todd", title = "On a trigonometrical sum", journal = j-LINEAR-ALGEBRA-APPL, volume = "35", number = "??", pages = "287--291", month = feb, year = "1981", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(81)90280-9", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15A15, 33B10", MRnumber = "82b:15002", MRreviewer = "S. Lajos", bibdate = "Wed Nov 30 13:48:38 MST 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/linala1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0024379581902809", ZMnumber = "0453.33001", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", ZBmath = "3708753", } @Article{Carlson:1983:DBE, author = "B. C. Carlson and John Todd", title = "The Degenerating Behavior of Elliptic Functions", journal = j-SIAM-J-NUMER-ANAL, volume = "20", number = "6", pages = "1120--1129", month = dec, year = "1983", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0720081", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "33A25, 33E05, 65A05", MRnumber = "85m:33002", MRreviewer = "K. M. Saksena", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", URL = "https://www.jstor.org/stable/2157146", ZMnumber = "0531.33004", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", ZBmath = "3842258", } @Article{Carlson:1983:ZFP, author = "B. C. Carlson and John Todd", title = "Zolotarev's first problem --- the best approximation by polynomials of degree $ \leq n - 2 $ to $ x^n - n \sigma x^{n - 1} $ in $ [ - 1, 1] $", journal = j-AEQUATIONES-MATHEMATICAE, volume = "26", pages = "1--33", year = "1983", CODEN = "AEMABN", DOI = "https://doi.org/10.1007/BF02189661", ISSN = "0001-9054 (print), 1420-8903 (electronic)", ISSN-L = "0001-9054", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0535.41029", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Aequationes Mathematicae", journal-URL = "http://link.springer.com/journal/10", keywords = "41A50,41A10,33E05", ZBmath = "3849790", } @InProceedings{Todd:1983:O, author = "John Todd", booktitle = "International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / S{\'e}rie internationale {d'Analyse} num{\'e}rique", title = "{Oberwolfach} --- 1945", crossref = "Beckenbach:1983:GII", pages = "19--22", year = "1983", DOI = "https://doi.org/10.1007/978-3-0348-6290-5_2", MRclass = "01A74", bibdate = "Sun Mar 25 10:02:33 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://link.springer.com/chapter/10.1007/978-3-0348-6290-5_2", ZMnumber = "0517.01042", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", keywords = "Oberwolfach", remark = "This is an account of the rescue of Oberwolfach after World War II. From page 19: ``As the European war was drawing to an end, plans were made to collect information and scientists, e.g., in rocketry and atomic weapons. Among the targets was a Dr. Hellmuth Walter, an expert on rocket engines. It came to pass that Dr. Alwyn Walther was brought to London by mistake. Mrs. Todd (who was then working in aerodynamics for the Ministry of AirCraft Production) and I, among others, were asked to interrogate him. We found that he carried with him, as a safe conduct, a photograph of himself and Courant, walking arm in arm. We learned of the existence of Oberwolfach from him.''", subject-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)", ZBmath = "3817668", } @InProceedings{Todd:1984:ATT, author = "John Todd", editor = "S. P. Singh and J. W. H. Burry and B. Watson", booktitle = "Approximation theory and spline functions, {Proceedings of the NATO Advanced Study Institute, St. John's, Newfoundland 1983}", title = "Applications of transformation theory: a legacy from {Zolotarev} (1847--1878)", number = "C 136", publisher = pub-REIDEL, address = pub-REIDEL:adr, pages = "207--245", year = "1984", DOI = "https://doi.org/10.1007/978-94-009-6466-2_11", ISBN = "94-009-6466-8", ISBN-13 = "978-94-009-6466-2", MRclass = "41-02, 41A10, 41A20, 01A70, 33E05", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "NATO ASI Series", ZMnumber = "0579.41001", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "3927548", } @Article{Todd:1985:CPS, author = "John Todd and Jean E. Sammet", title = "Comment on Previous Self-Study Answer and Response", journal = j-ANN-HIST-COMPUT, volume = "7", number = "1", pages = "65, 68--69", month = jan # "\slash " # mar, year = "1985", CODEN = "AHCOE5", ISSN = "0164-1239", ISSN-L = "0164-1239", bibdate = "Fri Nov 1 15:29:22 MST 2002", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib", URL = "http://dlib.computer.org/an/books/an1985/pdf/a1065.pdf; http://www.computer.org/annals/an1985/a1065abs.htm", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Annals of the History of Computing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650", } @Article{Todd:1986:BPA, author = "John Todd", title = "The best polynomial approximation to $ (1 + x)^{-1} $ in $ [0, 1] $", journal = "Adv. Math., Suppl. Stud.", volume = "10", pages = "313--320", year = "1986", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0604.41032", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", keywords = "41A50", ZBmath = "3975541", } @Article{Rawsthorne:1987:PSE, author = "Daniel Rawsthorne and Erwin Kronheimer and P. A. Batnik and Alexandru Lupa{\c{s}} and William F. Eberlein and Bruce Reznick and John Todd", title = "Problems and Solutions: Elementary Problems: {E3219}--{E3224}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "680--681", month = aug # "\slash " # sep, year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:46 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", note = "See also \cite{Batnik:1989:PSS,Eberlein:1989:PSS,Kronheimer:1991:PSS,Lupas:1990:PSSa,Rawsthorne:1989:PSSa,Rawsthorne:1989:PSSb,Reznick:1990:PSS}.", URL = "https://www.jstor.org/stable/2322225", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @Article{Reznick:1987:PSE, author = "Bruce Reznick and John Todd", title = "Problems and Solutions: Elementary Problems: {E3224}", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "7", pages = "681--681", month = aug # "\slash " # sep, year = "1987", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Dec 29 12:04:18 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", URL = "https://www.jstor.org/stable/2323923", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @InProceedings{Todd:1987:PAH, author = "J. Todd", title = "The prehistory and ancient history of computation at the {U.S. National Bureau of Standards}", crossref = "Crane:1987:HAC", pages = "47--51", year = "1987", DOI = "https://doi.org/10.1145/41579.41582", bibdate = "Fri Nov 17 10:10:27 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1988:MLM, author = "John Todd", title = "The many limits of mixed means. {II}. The {Carlson} sequences", journal = j-NUM-MATH, volume = "54", number = "1", pages = "1--18", month = oct, year = "1988", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01403887", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "40A05 (65Q05), 40A05, 33E05, 65Q05", MRnumber = "90b:40003", MRreviewer = "E. R. Love", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0668.40001", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", classification = "B0200 (Engineering mathematics and mathematical techniques); C1100 (Mathematical techniques)", corpsource = "California Inst. of Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arithmetic geometric sequences; functions; lemniscate functions; mixed means; series (mathematics); theta functions", treatment = "T Theoretical or Mathematical", ZBmath = "4094075", } @Article{Reznick:1990:PSS, author = "Bruce Reznick and John Todd and Jim Delany and Kempton Huehn", title = "Problems and Solutions: Solutions of Elementary Problems: {E3224}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "2", pages = "153--154", month = feb, year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:35:53 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Rawsthorne:1987:PSE}.", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", } @InCollection{Todd:1990:PEH, author = "John Todd", title = "The prehistory and early history of computation at the {U.S. National Bureau of Standards}", crossref = "Nash:1990:HSC", pages = "251--268", year = "1990", DOI = "https://doi.org/10.1145/87252.88103", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Todd:1990:WMP, author = "John Todd", title = "The {Weierstrass} mean. {I}. The periods of $ \wp (z \vert e_1, e_2, e_3) $", journal = j-NUM-MATH, volume = "57", number = "8", pages = "737--746", month = aug, year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386440", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (33E05), 65B10, 33D10, 40A25", MRnumber = "91m:65057", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0689.65005", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "California Inst. of Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; elliptic objects; limits; numerical methods; Weierstrass mean", treatment = "T Theoretical or Mathematical", ZBmath = "4129869", } @Manual{Hestenes:1991:NIN, author = "Magnus Rudolph Hestenes and John Todd", title = "{NBS-INA, the Institute for Numerical Analysis, UCLA 1947--1954}", number = "730", organization = pub-NTIS, address = pub-NTIS:adr, pages = "various", month = aug, year = "1991", LCCN = "QA76.95 .H47 1991; C 13.10: 730 Govt Pub; QA 297 H47 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Cover title: Mathematicians learning to use computers: the Institute for Numerical Analysis, UCLA, 1947--1954. Spine title: The Institute for Numerical Analysis, UCLA, 1947--1954. Sponsored in part by the Mathematical Association of America. Shipping list no.: 92-1306-M.", series = "NIST special publication", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", keywords = "electronic digital computers --- research --- history; Institute for Numerical Analysis (U.S.) --- history; mathematics --- data processing --- history; numerical analysis --- research --- history", tableofcontents = "Foreword / iii \\ Preface / v \\ Chapter I \\ The Beginnings / 1 \\ The War Years --- 1939--1945 / 2 \\ The Post-War Years / 3 \\ Chapter II \\ The Period Summer 1947 through Summer 1948 / 7 \\ Chapter III \\ The Period Fall 1948 through Spring 1949 / 11 \\ Chapter IV \\ The Period Summer 1949 through Summer 1950 / 17 \\ Chapter V \\ The Period Fall 1950 through Spring 1951 / 23 \\ Chapter VI \\ The Period Summer 1951 through Spring 1952 / 27 \\ Chapter VII \\ The Period Summer 1952 through Spring 1953 / 33 \\ Chapter VIII \\ The Period Summer 1953 through Spring 1954 / 39 \\ Chapter IX \\ Some Typical Projects / 45 \\ Hilbert Matrices and Related Topics / 45 \\ Gerschgorin Theorems and Related Results / 47 \\ Solutions of Systems of Linear Equations / 48 \\ References / 67 \\ Photographs and Cartoons / 73 \\ Appendix A. John Hamilton Curtiss 1909--77 / A-1 \\ Appendix B. Two Papers by John H. Curtiss / B-1 \\ Appendix C. The SWAC [The National Bureau of Standards Western Automatic Computer, by Harry D. Huskey] / C-1 \\ Appendix D. Symposia and Tables / D-1 \\ Appendix E. Educational Activities / E-1 \\ Appendix F. Personnel / F-1 \\ Index / ind-1", } @Article{Taussky:1991:ALM, author = "Olga Taussky and John Todd", title = "Another look at a matrix of {Mark Kac}", journal = j-LINEAR-ALGEBRA-APPL, volume = "150", pages = "341--360", year = "1991", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(91)90179-Z", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15B57 15A18 05A10 15A18 (15A57)", MRnumber = "92k:15030 (1102076)", MRreviewer = "Lajos L{\'a}szl{\'o}", bibdate = "Sat Mar 24 12:12:36 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/linala1990.bib", note = "Proceedings of the First Conference of the International Linear Algebra Society (Provo, UT, 1989).", ZMnumber = "0727.15010", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", ZBmath = "4200397", } @Article{Todd:1992:BRB, author = "John Todd and Bill Braden and Bernard Danloy and Frank Schmidt", title = "Book Review: {{\booktitle{Inequality of the AGM and the Logarithmic Mean}} (B. C. Carlson and M. Vuorinen)}", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "653--654", month = "????", year = "1992", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1034127", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:55:07 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/34/4; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "December 1992", } @Article{Todd:1992:BRI, author = "John Todd and Bill Braden and Bernard Danloy and Frank Schmidt", title = "Book Review: {{\booktitle{Inequality of the AGM and the Logarithmic Mean}} (B. C. Carlson and M. Vuorinen)}", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "653--654", month = "????", year = "1992", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1034127", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:55:07 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/34/4; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "December 1992", } @Article{Todd:1993:CQD, author = "John Todd", title = "Comments, Queries, and Debate: {Alwin Walther} (1898--1967)", journal = j-IEEE-ANN-HIST-COMPUT, volume = "15", number = "4", pages = "5--6", month = oct # "\slash " # dec, year = "1993", CODEN = "IAHCEX", ISSN = "1058-6180 (print), 1934-1547 (electronic)", ISSN-L = "1058-6180", bibdate = "Thu Jul 12 06:22:55 MDT 2001", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib", URL = "http://dlib.computer.org/an/books/an1993/pdf/a4005.pdf", acknowledgement = ack-nhfb, ajournal = "IEEE Ann. Hist. Comput.", author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "IEEE Annals of the History of Computing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85", } @Article{Todd:1994:GHH, author = "John Todd", title = "{G. H. Hardy} as an editor", journal = j-MATH-INTEL, volume = "16", number = "2", pages = "32--37", year = "1994", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF03024281", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0821.01045", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", keywords = "01A99", ZBmath = "727216", } @InProceedings{Todd:1994:RCL, author = "John Todd", title = "Reminiscences of {Cornelius Lanczos}", crossref = "Brown:1994:PCL", pages = "lviii--lix", year = "1994", MRclass = "01A70", bibdate = "Sat Jun 11 17:22:09 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; MathSciNet database", ZMnumber = "1260.01042", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "6151810", } @Article{Mason:1996:P, author = "Eric H. Mason and Stephen M. {Gagola, Jr.} and John Todd and Theodore J. Rivlin and David Callan", title = "Polynomialrecurrencology: 10300", journal = j-AMER-MATH-MONTHLY, volume = "103", number = "3", pages = "272--273", month = mar, year = "1996", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", URL = "https://www.jstor.org/stable/2975388", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Todd:1999:HIU, author = "John Todd and Richard S. Varga", title = "{Hardy}'s inequality and ultrametric matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "302--303", number = "1--3", pages = "33--43", day = "1", month = dec, year = "1999", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/S0024-3795(98)10168-4", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "26D15 (15A45)", MRnumber = "1733522 (2001k:26030)", bibdate = "Wed Apr 20 14:10:28 2022", bibsource = "http://www.elsevier.com/locate/laa; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/tex/bib/linala1990.bib", note = "Special issue dedicated to Hans Schneider (Madison, WI, 1998)", URL = "http://www.elsevier.nl/gej-ng/10/30/19/117/25/28/abstract.html; http://www.elsevier.nl/gej-ng/10/30/19/117/25/28/article.pdf; http://www.math.kent.edu/~varga/pub/paper_227.pdf", ZMnumber = "0952.15011", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007); Richard S. Varga (8 October 1928--25 February 2022)", fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", ZBmath = "1419858", } @InCollection{Todd:2000:LC, author = "John Todd", title = "The Lemniscate Constants", crossref = "Berggren:2000:PSB", pages = "412--417", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-3240-5_45", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "Reprint of \cite{Todd:1975:LC}", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Taussky:2006:CTT, author = "Olga Taussky and John Todd", title = "{Cholesky}, {Toeplitz} and the triangular factorization of symmetric matrices", journal = j-NUMER-ALGORITHMS, volume = "41", number = "2", pages = "197--202", month = feb, year = "2006", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/s11075-005-9012-4", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "65F05 (01A55 65-03) 65F50 01A75", MRnumber = "2222972", bibdate = "Tue Jul 8 19:14:28 MDT 2008", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=41&issue=2&spage=197", ZMnumber = "1093.65030", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", keywords = "Cholesky method; linear systems; symmetric matrices; Toeplitz; triangular factorization", remark = "This paper was completed before Olga Taussky's death in 1995, but publication was long delayed; see \cite[page 13]{Madden:2012:JTD} for why.", ZBmath = "5032535", } @Article{Qiao:2010:WDW, author = "Xingye Qiao and Hao Helen Zhang and Yufeng Liu and Michael J. Todd and J. S. Marron", title = "Weighted Distance Weighted Discrimination and Its Asymptotic Properties", journal = j-J-AM-STAT-ASSOC, volume = "105", number = "489", pages = "401--414", month = mar, year = "2010", CODEN = "JSTNAL", DOI = "https://doi.org/10.1198/jasa.2010.tm08487", ISSN = "0162-1459 (print), 1537-274X (electronic)", ISSN-L = "0162-1459", bibdate = "Thu Aug 26 11:26:32 MDT 2010", bibsource = "http://www.amstat.org/publications/jasa/; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/jamstatassoc2010.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", fjournal = "Journal of the American Statistical Association", journal-URL = "http://www.tandfonline.com/loi/uasa20", } @InCollection{Taussky:2012:ASE, author = "Olga Taussky and John Todd", title = "Applications of systems of equations, matrices and determinants", crossref = "James:2012:TM", chapter = "24", pages = "310--337", year = "2012", bibdate = "Tue Mar 27 10:53:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", remark = "Reprint of \cite{Taussky:1952:SEMb}", } @InCollection{Taussky:2012:SEM, author = "Olga Taussky and John Todd", title = "Systems of equations, matrices and determinants", crossref = "James:2012:TM", chapter = "23", pages = "305--318", year = "2012", bibdate = "Tue Mar 27 10:53:00 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", remark = "Reprint of \cite{Taussky:1952:SEMa}", }

%%% ==================================================================== %%% Part 2: Publications about John Todd and his works

@Article{Comrie:1936:IIS, author = "L. J. Comrie", title = "Inverse Interpolation and Scientific Applications of the {National Accounting Machine}", journal = j-J-R-STAT-SOC-SUPPL, volume = "3", number = "2", pages = "87--114", month = "????", year = "1936", CODEN = "????", DOI = "https://doi.org/10.2307/2983666", ISSN = "1466-6162", ISSN-L = "1466-6162", bibdate = "Fri Jan 23 11:53:21 MST 2015", bibsource = "http://www.jstor.org/stable/i349676; https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/jrss-b.bib", note = "See \cite{Todd:1974:JNN}.", URL = "http://www.jstor.org/stable/2983666", acknowledgement = ack-nhfb, fjournal = "Supplement to the Journal of the Royal Statistical Society", journal-URL = "http://www.jstor.org/journals/00401706.html", keywords = "Charles Babbage; Mercedes machine; Scheutz machine", } @Article{Anonymous:1950:W, author = "Anonymous", title = "Whereabouts", journal = j-PHYS-TODAY, volume = "3", number = "3", pages = "37--37", month = mar, year = "1950", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.3066835", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Thu Mar 29 08:56:39 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "From the article: ``Two British mathematicians, Mr. and Mrs. John Todd, have joined the staff of the National Bureau of Standards' applied mathematics laboratories. Mr. Todd, formerly of Kings College, London University, and Queens University in Belfast, has been appointed chief of the Bureau's computation laboratory, where he will be in charge of mathematical research as well as of the computing services offered by the laboratory to various government agencies. Mrs. Todd (Dr. Olga Taussky), as a technical consultant, will do fundamental research in problems of mathematical analysis, algebra, and number theory in their relation to the use of high-speed computing machines''", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", subject-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995); John Todd (16 May 1911--21 June 2007)", } @Article{Householder:1963:BRJ, author = "A. S. Householder", title = "Book Review: {John Todd, Editor, \booktitle{A Survey of Numerical Analysis}, McGraw-Hill Book Co., 1962, 23.5 cm., xvi + 589 p. Price \$12.50}", journal = j-MATH-COMPUT, volume = "17", number = "81", pages = "89--89", month = jan, year = "1963", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-63-99185-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Dec 22 05:49:41 MST 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib", URL = "http://www.ams.org/journals/mcom/1963-17-081/S0025-5718-1963-1781088-8; http://www.ams.org/journals/mcom/1963-17-081/S0025-5718-1963-1781088-8/S0025-5718-1963-1781088-8.pdf; https://www.jstor.org/stable/2003741", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Olver:1963:RPS, author = "F. W. J. Olver", title = "Recent Publications: {{\em A Survey of Numerical Analysis}}, by {John Todd}", journal = j-AMER-MATH-MONTHLY, volume = "70", number = "2", pages = "224--225", month = feb, year = "1963", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:00 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/2312919", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Prager:1963:BRS, author = "W. Prager", title = "Book Review: {{\booktitle{A Survey of Numerical Analysis}} by John Todd}", journal = j-QUART-APPL-MATH, volume = "20", number = "4", pages = "396--396", month = jan, year = "1963", CODEN = "QAMAAY", ISSN = "0033-569X (print), 1552-4485 (electronic)", ISSN-L = "0033-569X", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/43636451", acknowledgement = ack-nhfb, fjournal = "Quarterly of Applied Mathematics", journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Toole:1963:BRS, author = "Beverly M. Toole", title = "Book Review: {{\booktitle{A Survey of Numerical Analysis}} by John Todd}", journal = j-PI-MU-EPSILON-J, volume = "3", number = "8", pages = "422--422", month = "Spring", year = "1963", CODEN = "PMEJBR", ISSN = "0031-952X", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/24338238", acknowledgement = ack-nhfb, fjournal = "Pi Mu Epsilon Journal", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Cole:1964:BRS, author = "A. J. Cole", title = "Book Review: {{\booktitle{A Survey of Numerical Analysis}} by John Todd}", journal = j-MATH-GAZ, volume = "48", number = "364", pages = "247--247", month = may, year = "1964", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3613594", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Flanders:1964:BRN, author = "Harley Flanders", title = "Book Review: {{\booktitle{Numerical Mathematics: Introduction to the Constructive Theory of Functions}}, John Todd. Academic Press, New York, 1963. 127 pp. Illus. \$6}", journal = j-SCIENCE, volume = "144", number = "3617", pages = "402--402", day = "24", month = apr, year = "1964", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.144.3617.402.a", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/1713434", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Juncosa:1964:BRB, author = "Mario Juncosa", title = "Book Review: {{\booktitle{Proceedings of the 15th Symposium in Applied Mathematics of the A.M.S. Experimental Arithmetic, High Speed Computing and Mathematics}} (N. C. Metropolis, A. H. Taub, John Todd C. B. Tompkins)}", journal = j-SIAM-REVIEW, volume = "6", number = "4", pages = "468--471", month = "????", year = "1964", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1006108", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:05:18 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/6/4; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "https://www.jstor.org/stable/2027983", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "October 1964", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Hammer:1965:BRBa, author = "Preston C. Hammer", title = "Book Review: {{\booktitle{Experimental Arithmetic, High Speed Computing and Mathematics}} by N. C. Metropolis; A. H. Taub; John Todd; C. B. Tompkins}", journal = j-TECHNOMETRICS, volume = "7", number = "1", pages = "82--82", month = feb, year = "1965", CODEN = "TCMTA2", DOI = "https://doi.org/10.2307/1266139", ISSN = "0040-1706 (print), 1537-2723 (electronic)", ISSN-L = "0040-1706", bibdate = "Sat Jun 21 13:17:45 MDT 2014", bibsource = "http://www.jstor.org/journals/00401706.html; http://www.jstor.org/stable/i254241; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/technometrics1960.bib", URL = "http://www.jstor.org/stable/1266139", acknowledgement = ack-nhfb, fjournal = "Technometrics", journal-URL = "http://www.jstor.org/journals/00401706.html", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Hammer:1965:BRBb, author = "Preston C. Hammer", title = "Book Review: {{\booktitle{Experimental Arithmetic, High Speed Computing and Mathematics}} by N. C. Metropolis, A. H. Taub, John Todd, and C. B. Tompkins}", journal = j-TECHNOMETRICS, volume = "7", number = "1", pages = "82--82", month = feb, year = "1965", CODEN = "TCMTA2", ISSN = "0040-1706 (print), 1537-2723 (electronic)", ISSN-L = "0040-1706", bibdate = "Tue Mar 20 13:44:52 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/technometrics1960.bib", URL = "http://links.jstor.org/sici?sici=0040-1706%28196502%297%3A1%3C82%3AEAHSCA%3E2.0.CO%3B2-9", acknowledgement = ack-nhfb, fjournal = "Technometrics", journal-URL = "http://www.jstor.org/journals/00401706.html", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Hammer:1965:BRE, author = "Preston C. Hammer", title = "Book Review: {{\em Experimental Arithmetic, High Speed Computing and Mathematics} by N. C. Metropolis, A. H. Taub, John Todd, and C. B. Tompkins}", journal = j-TECHNOMETRICS, volume = "7", number = "1", pages = "82--82", month = feb, year = "1965", CODEN = "TCMTA2", ISSN = "0040-1706 (print), 1537-2723 (electronic)", ISSN-L = "0040-1706", bibdate = "Tue Mar 20 13:44:52 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://links.jstor.org/sici?sici=0040-1706%28196502%297%3A1%3C82%3AEAHSCA%3E2.0.CO%3B2-9", acknowledgement = ack-nhfb, fjournal = "Technometrics", journal-URL = "http://www.jstor.org/journals/00401706.html; http://www.tandfonline.com/loi/utch20", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Miller:1965:BRI, author = "G. F. Miller", title = "Book Review: {{\booktitle{Introduction to the Constructive Theory of Functions}} by John Todd}", journal = j-MATH-GAZ, volume = "49", number = "370", pages = "486--486", month = dec, year = "1965", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3612241", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Kojima:1978:MTT, author = "Masakazu Kojima", title = "A modification of {Todd}'s triangulation {$ J_3 $}", journal = j-MATH-PROG, volume = "15", number = "2", pages = "223--227", year = "1978", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01609022", ISSN = "0025-5610,1436-4646", MRclass = "90C33", MRnumber = "509966", MRreviewer = "Michael M. Kostreva", bibdate = "Sat Oct 21 15:14:12 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Kusterer:1979:SEP, author = "Roland Kusterer and Manfred Reimer", title = "Stable Evaluation of Polynomials in Time $ \log n $", journal = j-MATH-COMPUT, volume = "33", number = "147", pages = "1019--1031", month = jul, year = "1979", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1979-0528054-X; https://doi.org/10.2307/2006075", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G05 (68C25)", MRnumber = "80d:65050 (528054)", MRreviewer = "C. W. Clenshaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/bibnet/authors/c/clenshaw-charles-w.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., University of Dortmund, Dortmund, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; approximation theory; number of multiplications to evaluate a polynomial; polynomials", reviewer-dates = "Charles William Clenshaw (15 March 1926--23 September 2004)", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rowland:1979:BRB, author = "John H. Rowland", title = "Book Review: {{\booktitle{Basic Numerical Mathematics, Vol. 2: Numerical Algebra}} (John Todd)}", journal = j-SIAM-REVIEW, volume = "21", number = "3", pages = "404--404", month = jul, year = "1979", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1021067", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:53:02 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/21/3; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "https://www.jstor.org/stable/2029587", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1979", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Randall:1980:BRB, author = "T. J. Randall", title = "Book Review: {{\booktitle{Basic Numerical Mathematics; Volume 1, Numerical Analysis, and Volume 2, Numerical Algebra}} by John Todd}", journal = j-MATH-GAZ, volume = "64", number = "430", pages = "297--298", month = dec, year = "1980", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/3616749", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.jstor.org/journal/mathgaze", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Taussky:1987:NCC, author = "Olga Taussky", title = "Nonsingular cubic curves as determinantal loci. {Historical} remarks by {John Todd}", journal = "Journal of Mathematical and Physical Sciences", volume = "21", number = "6", pages = "665--678", year = "1987", ISSN = "0047-2557", MRclass = "14M12 (01A05 14H45 15A15) 14-03 15A72 01A55", MRnumber = "932888", MRreviewer = "Tadeusz J{\'o}zefiak", bibdate = "Sat Mar 24 12:12:36 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", note = "Ramanujan memorial volume.", ZMnumber = "0652.14022", acknowledgement = ack-nhfb, ajournal = "J. Math. Phys. Sci.", author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)", fjournal = "Journal of Mathematical and Physical Sciences", subject-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "4063264", } @Article{Todd:1988:LZ, author = "John Todd", title = "A legacy from {E. I. Zolotarev} (1847--1878)", journal = j-MATH-INTEL, volume = "10", number = "2", pages = "50--53", year = "1988", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF03028357", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0642.01007", acknowledgement = ack-nhfb, ajournal = "Math. Intell.", fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", keywords = "01A55,41-03", subject-dates = "John Todd (16 May 1911--21 June 2007)", ZBmath = "4045690", } @Article{Alzer:1991:CTI, author = "Horst Alzer", title = "Converses of two inequalities of {Ky Fan}, {O. Taussky}, and {J. Todd}", journal = j-J-MATH-ANAL-APPL, volume = "161", number = "1", pages = "142--147", year = "1991", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(91)90365-7", ISSN = "0022-247X,1096-0813", ISSN-L = "0022-247X", MRclass = "26D15", MRnumber = "1127553", MRreviewer = "J. L. Brenner", bibdate = "Sat Oct 21 15:14:12 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Lunter:1994:NPG, author = "Gerton Lunter", title = "New proofs and a generalization of inequalities of {Fan}, {Taussky}, and {Todd}", journal = j-J-MATH-ANAL-APPL, volume = "185", number = "2", pages = "464--476", day = "15", month = jul, year = "1994", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1994.1261", ISSN = "0022-247x (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "26D15", bibdate = "Sat Mar 24 10:59:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0806.26014", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", ORCID-numbers = "Lunter, Gerton/0000-0002-3798-2058", researcherid-numbers = "Lunter, Gerton/H-4939-2016", subject-dates = "John Todd (16 May 1911--21 June 2007); Olga Taussky-Todd (30 August 1906--7 October 1995)", } @Article{Yin:1994:CIF, author = "Xiangrong Yin", title = "A converse inequality of {Fan}, {Taussky}, and {Todd}", journal = j-J-MATH-ANAL-APPL, volume = "182", number = "3", pages = "654--657", day = "15", month = mar, year = "1994", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1994.1111", ISSN = "0022-247x (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "26D15", bibdate = "Sat Mar 24 10:59:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", ZMnumber = "0799.26019", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", subject-dates = "John Todd (16 May 1911--21 June 2007); Olga Taussky-Todd (30 August 1906--7 October 1995)", } @Article{Anonymous:1997:PJT, author = "Anonymous", title = "{Professor John Todd}", journal = "The Telegraph", volume = "??", number = "??", pages = "??--??", day = "5", month = jul, year = "1997", bibdate = "Sat Oct 21 14:17:04 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.telegraph.co.uk/news/obituaries/1556507/Professor-John-Todd.html", acknowledgement = ack-nhfb, subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Misc{Cohen:1997:IJT, author = "Shirley K. Cohen", title = "Interview with {John Todd, March 29 and April 5, 1996}", howpublished = "California Institute of Technology Archives", pages = "31", year = "1997", bibdate = "Mon Oct 23 08:09:13 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://www.jstor.org/stable/community.30990609", acknowledgement = ack-nhfb, subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Misc{Williams-Hedges:1997:PCM, author = "Deborah Williams-Hedges", title = "Pioneer of 20th-Century Mathematics {John Todd} Dies", howpublished = "Caltech Media Relations Web site.", day = "25", month = jun, year = "1997", bibdate = "Sat Oct 21 13:50:26 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "http://mr.caltech.edu/media/Press_Releases/PR13007.html", acknowledgement = ack-nhfb, subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Book{Varga:2004:GHC, author = "Richard S. Varga", title = "{Ger{\v{s}}gorin} and His Circles", volume = "36", publisher = pub-SV, address = pub-SV:adr, pages = "x + 226", year = "2004", DOI = "https://doi.org/10.1007/978-3-642-17798-9", ISBN = "3-540-21100-4 (hardcover), 3-642-17798-0 (e-book)", ISBN-13 = "978-3-540-21100-6 (hardcover), 978-3-642-17798-9 (e-book)", ISSN = "0179-3632", ISSN-L = "0179-3632", LCCN = "QA193 .V37 2004", MRclass = "15-02 (15-03 15A18 15A42 65-02 65-03 65F15)", MRnumber = "2093409 (2005h:15002)", MRreviewer = "David Scott Watkins", bibdate = "Sun Mar 25 09:35:13 MDT 2018", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/linala2000.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana2000.bib; z3950.loc.gov:7090/Voyager", series = "Springer Series in Computational Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0815/2004104814-d.html", abstract = "This book studies the original results, and their extensions, of the Russian mathematician, S. A. Ger{\v{s}}gorin, who wrote a seminal paper in 1931, on how to easily obtain estimates of all $n$ eigenvalues (characteristic values) of any given $n$-by-$n$ complex matrix. Since the publication of this paper, there has been many newer results spawned by his paper, and this book will be the first which is devoted solely to this resulting area. As such, it will include the latest research results, such as Brauer ovals of Cassini and Brualdi lemniscates, and their comparisons. This book is dedicated to the late Olga Taussky-Todd and her husband, John Todd. It was Olga who brought to light Ger{\v{s}}gorin's paper and its significance to the mathematical world. The level of this book requires only a modest background in linear algebra and analysis, and is therefore comprehensible to upper-level and graduate level students in mathematics.", acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj, author-dates = "Richard S. Varga (8 October 1928--25 February 2022)", shorttableofcontents = "I. Preface / vii \\ 1. Basic theory / 1 \\ 2. Ger{\v{s}}gorian-type eigenvalue inclusion theorems / 35 \\ 3. More eigenvalue inclusion results / 73 \\ 4. Minimal Ger{\v{s}}gorian sets and their sharpness / 97 \\ 5. G-functions / 127 \\ 6. Ger{\v{s}}gorian-type theorems for partitioned matrices / 155 \\ Appendices: / \\ A. Ger{\v{s}}gorin's paper from 1931, and comments / 189 \\ B. Vector norms and induced operator norms / 199 \\ C. The Perron--Frobenius theory of nonnegative matrices / 201 \\ D. Matlab 6 programs / 205 \\ References / 217", subject = "Ger{\v{s}}gorin, Semen Aronovich; Algebras, Linear; Eigenvalues; Valeurs propres; Alg{\`e}bre lin{\'e}aire; Eigenvalues; Algebras, Linear; Komplexe Matrix; Matrizen-Eigenwertaufgabe", subject-dates = "Semen Aronovich Ger{\v{s}}gorin (1901--1933)", tableofcontents = "I. Preface / vii \\ 1. Basic Theory / 1 \\ 1.1 Ger{\v{s}}gorin's Theorem / 1 \\ 1.2 Extensions of Ger{\v{s}}gorin's Theorem via Graph Theory / 10 \\ 1.3 Analysis Extensions of Ger{\v{s}}gorin's Theorem and Fan's Theorem / 18 \\ 1.4 A Norm Derivation of Ger{\v{s}}gorin's Theorem 1.1 / 26 \\ 2. Ger{\v{s}}gorin-Type Eigenvalue Inclusion Theorems / 35 \\ 2.1 Brauer's Ovals of Cassini / 35 \\ 2.2 Higher-Order Lemniscates / 43 \\ 2.3 Comparison of the Brauer Sets and the Brualdi Sets / 53 \\ 2.4 The Sharpness of Brualdi Lemniscate Sets / 58 \\ 2.5 An Example / 67 \\ 3. More Eigenvalue Inclusion Results / 73 \\ 3.1 The Parodi--Schneider Eigenvalue Inclusion Sets / 73 \\ 3.2 The Field of Values of a Matrix / 79 \\ 3.3 Newer Eigenvalue Inclusion Sets / 84 \\ 3.4 The Pupkov--Solov'ev Eigenvalue Inclusions Set / 92 \\ 4. Minimal Ger{\v{s}}gorin Sets and Their Sharpness / 97 \\ 4.1 Minimal Ger{\v{s}}gorin Sets / 97 \\ 4.2 Minimal Ger{\v{s}}gorin Sets via Permutations / 110 \\ 4.3 A Comparison of Minimal Ger{\v{s}}gorin Sets and Brualdi Sets / 121 \\ 5. $G$-Functions / 127 \\ 5.1 The Sets ${\cal F}_n$ and ${\cal G}_n$ / 127 \\ 5.2 Structural Properties of ${\cal G}_n$ and ${\cal G}_n^c$ / 133 \\ 5.3 Minimal $G$-Functions / 141 \\ 5.4 Minimal $G$-Functions with Small Domains of Dependence / 145 \\ 5.5 Connections with Brauer Sets and Generalized Brualdi Sets / 149 \\ 6. Ger{\v{s}}gorin-Type Theorems for Partitioned Matrices / 155 \\ 6.1 Partitioned Matrices and Block Diagonal Dominance / 155 \\ 6.2 A Different Norm Approach / 164 \\ 6.3 A Variation on a Theme by Brualdi / 174 \\ 6.4 $G$-Functions in the Partitioned Case / 181 \\ Appendix A. Ger{\v{s}}gorin's Paper from 1931, and Comments / 189 \\ Appendix B. Vector Norms and Induced Operator Norms / 199 \\ Appendix C. The Perron--Frobenius Theory of Nonnegative Matrices / 201 \\ Appendix D. Matlab 6 Programs / 205 \\ References / 217", } @Article{Albers:2007:JTN, author = "Don Albers", title = "{John Todd}---numerical mathematics pioneer", journal = j-COLLEGE-MATH-J, volume = "38", number = "1", pages = "2--23", year = "2007", DOI = "https://doi.org/10.1080/07468342.2007.11922213", ISSN = "0746-8342,1931-1346", ISSN-L = "0746-8342", MRclass = "01A70 (65-03)", MRnumber = "2285320", bibdate = "Sat Oct 21 15:07:29 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, fjournal = "The College Mathematics Journal", journal-URL = "https://maa.tandfonline.com/loi/ucmj20; https://www.jstor.org/journal/collmathj", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Bauer:2007:MJT, author = "Friedrich L. Bauer", title = "In memoriam {John Todd} (1911--2007)", journal = j-NUM-MATH, volume = "108", number = "1", pages = "1--6", month = nov, year = "2007", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s00211-007-0105-y", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "2350182", bibdate = "Thu Aug 20 18:22:34 2020", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/nummath2000.bib", ZMID = "05215502", ZMnumber = "1126.01313", acknowledgement = ack-nhfb, author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", subject = "Todd, John; Todd, Jack", subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Misc{OConnor:2007:JT, author = "J. J. O'Connor and E. F. Robertson", title = "{Jack Todd}", howpublished = "St. Andrews MacTutor Web site", month = aug, year = "2007", bibdate = "Sat Oct 21 14:20:42 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", URL = "https://mathshistory.st-andrews.ac.uk/Biographies/Todd_John/", acknowledgement = ack-nhfb, subject-dates = "John Todd (16 May 1911--21 June 2007)", } @Article{Madden:2012:JTD, author = "Niall Madden", title = "{John Todd} and the development of modern numerical analysis", journal = j-IRISH-MATH-SOC-BULL, volume = "69", pages = "11--24", month = "Summer", year = "2012", ISSN = "0791-5578", ISSN-L = "0791-5578", MRclass = "01A70 01A60 65-03", MRnumber = "3026423", bibdate = "Sat Mar 24 10:59:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib", URL = "https://www.maths.tcd.ie/pub/ims/bull69/Madden.pdf", ZMnumber = "1293.01024", acknowledgement = ack-nhfb, ajournal = "Ir. Math. Soc. Bull.", fjournal = "Irish Mathematical Society Bulletin", journal-URL = "https://www.maths.tcd.ie/pub/ims/bulletin/", remark = "Besides a description of the Taussky and Todd collaboration (pages 12--13), this paper contains an interesting report of the influence of John Todd on John von Neumann, connections to work by Alan Turing and Konrad Zuse, and the rescue of Oberwolfach, now a famous center for mathematical research and conferences. Madden also discusses the little-known history of the famous Cholesky method (see page 15) for factorization of symmetric matrices, as the product of a lower triangular matrix, and its transpose: $ A = A^T = L L^T $.", subject-dates = "John Todd (16 May 1911--21 June 2007); Olga Taussky-Todd (30 August 1906--7 October 1995)", }

%%% ==================================================================== %%% Cross-referenced entries must come last. They are sorted by year %%% and then by citation label, with ``bibsort --byyear'':

@Proceedings{Taussky:1954:CSS, editor = "Olga Taussky", booktitle = "Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues", title = "Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues", volume = "39", publisher = pub-NBS, address = pub-NBS:adr, pages = "iii + 140", day = "30", month = sep, year = "1954", bibdate = "Fri Mar 23 14:38:44 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", series = "Applied Mathematics Series", ZMnumber = "0058.10902", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", editor-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)", tableofcontents = "Preface / ii \\ 1. Practical solution of linear equations and inversion of matrices / L. Fox / 1 \\ 2. Punched-card experiments with accelerated gradient methods for linear equations / A. I. Forsythe and G. E. Forsythe / 55--69 \\ 3. Iterative methods of solving linear problems on Hilbert space / R. M. Hayes / 71 \\ 4. Tables of inverses of finite segments of the Hilbert matrix / I. R. Savage and E. Lukacs / 105 \\ 5. The condition of the finite segments of the Hilbert matrix / John Todd / 109 \\ 6. Lower bounds for the rank and location of the eigenvalues of a matrix / K. Fan and A. J. (Alan Jerome) Hoffman / 117 \\ 7. Inequalities for eigenvalues of Hermitian matrices / Ky Fan / 131", } @Book{James:1957:TM, editor = "Glenn James and E. F. Beckenbach", booktitle = "The Tree of Mathematics", title = "The Tree of Mathematics", publisher = "Digest Press", address = "Pacoima, CA, USA", pages = "xvii + 403", year = "1957", LCCN = "QA37 .J26", bibdate = "Tue Mar 27 10:47:28 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)", remark = "Reprinted in \cite{James:2012:TM}.", subject = "Mathematics", } @Book{Todd:1962:SNA, editor = "John Todd", booktitle = "Survey of Numerical Analysis", title = "Survey of Numerical Analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xvi + 589", year = "1962", LCCN = "QA297 .T63", MRclass = "65.00", MRnumber = "0135221 (24 \#B1271)", bibdate = "Tue Mar 27 17:58:56 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", URL = "https://babel.hathitrust.org/cgi/pt?id=mdp.39015000983901", ZMnumber = "0101.33601", acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj, author-dates = "Philip J. Davis (2 January 1923--13 March 2018); John Todd (16 May 1911--21 June 2007)", editor-dates = "John Todd (16 May 1911--21 June 2007)", tableofcontents = "1: Motivation for working in numerical analysis / John Todd / 1--26 \\ 2: Classical numerical analysis / John Todd / 27--118 \\ 3: The constructive theory of functions / 119--159 / \\ 4: Automatic computers / Morris Newman and John Todd / 160--207 \\ 5: Use and limitation of computers / Harvey Cohn / 208--221 \\ 6: Matrix computations / Morris Newman / 222--254 \\ 7: Numerical methods for finding solutions of nonlinear equations / Urs Hochstrasser / 255-- 78 \\ 8a: Eigenvalues of finite matrices: Some topics concerning bounds for eigenvalues of finite matrices / Olga Taussky / 279--297 \\ 8b: Eigenvalues of finite matrices: Hermitian Forms and Eigenvalues / Marvin Marcus / 298---313 \\ 9: Numerical methods in ordinary differential equations / Henry A. Antosiewicz and Walter Gautschi / 314--346 \\ 10: Orthonormalizing codes in numerical analysis / Philip J. Davis / 347--379 \\ 11: The numerical solution of elliptic and parabolic partial differential equations / David M. Young, Jr. / 380--438 \\ 12: Numerical methods for integral equations / H. B{\"u}cker / 439--467 \\ 13: Errors of numerical approximation for analytic functions / Philip J. Davis / 468--484 \\ 14: Numerical analysis and functional analysis / Henry A. Antosiewicz and Werner C. Rheinboldt / 485--517 / \\ 15: Discrete problems / Marshall Hall, Jr. / 518--542 \\ 16a: Number Theory: Some Illustrative Computations in Algebraic Number Theory / Harvey Cohn / 543--548 \\ 16b: Number Theory: Some Computational Problems in Algebraic Number Theory / Olga Taussky / 549--557 \\ 17: Linear estimation and related topics / Marvin Zelen / 558--584 \\ Index / 585--589", ZBmath = "3165800", } @Proceedings{Metropolis:1963:EAH, editor = "N. Metropolis and A. H. Taub and John Todd and C. B. Tompkins", booktitle = "{Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962}", title = "{Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962}", volume = "15", publisher = pub-AMS, address = pub-AMS:adr, pages = "ix + 396", year = "1963", LCCN = "QA297 .S987 1962", bibdate = "Tue Mar 20 10:37:16 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, editor-dates = "John Todd (16 May 1911--21 June 2007)", tableofcontents = "1. Purposeful and unpurposeful computing / Cohn \\ 2. Eliminating the irrelevant from mechanical proofs / Davis \\ 3. The mechanization of mathematical arguments / Wang \\ 4. Towards more versatile mechanical translators / Irons \\ 5. Information theory and decoding computations / Elias \\ 6. Adaptive neural networks as brain models / Block \\ 7. Computer investigation of orthogonal Latin squares of order ten / Parker \\ 8. Determination of division algebra with 32 elements / Walker \\ 9. How programming difficulties lead to theoretical advances / Dade and Zassenhaus \\ 10. Methods of successive restrictions in computational problems involving discrete variables / Tompkins \\ 11. An experimental study of the simplex method / Kuhn and Quandt \\ 12. Large and nonconvex problems in linear programming / GoMory \\ 13. Some high speed logic / Lehmer \\ 14. Stability questions for some numerical methods for ordinary differential equations / Dahlquist \\ 15. Some applications of the quotient--difference algorithm / Henrici \\ 16. Plane-rotations in floating-point arithmetic / Wilkinson \\ 17. New aspects in numerical quadrature / Bauer, kutishauser, and Stiefel \\ 18. On Jacobi rotation patterns / Rutishauser \\ 19. Automatic numerical integration of ordinary differential equations / Nordsieck \\ 20. Survey of stability of different schemes for solving initial value problems for hyperbolic equations / Lax \\ 21. Unexpected dividends in the theory of prime numbers / Rosser \\ 22. The particle-in-cell method for numerical solution of problems in fluid dynamics / Harlow \\ 23. Numerical experiments in atmospheric hydrodynamics / Charney \\ 24. The oscillations of the earth and of the atmosphere / MacDonald \\ 25. Few particle experiments in statistical mechanics / Alder \\ 26. An approach to the Ising problem using a large scale fast digital computer / Yang \\ 27. Applied mathematics as used in theoretical chemistry / Hirschfelder \\ 28. The mechanization of science / Hamming", } @Proceedings{Metropolis:1963:IBM, editor = "N. C. Metropolis and A. H. Taub and John Todd and C. B. Tompkins", booktitle = "{Interactions between Mathematical Research and High-Speed Computing: Symposia: Selected Papers}", title = "{Interactions between Mathematical Research and High-Speed Computing: Symposia: Selected Papers}", publisher = pub-AMS, address = pub-AMS:adr, pages = "????", year = "1963", LCCN = "????", bibdate = "Mon Mar 19 19:02:53 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib", acknowledgement = ack-nhfb, editor-dates = "John Todd (16 May 1911--21 June 2007)", } @Proceedings{Metropolis:1963:PFS, editor = "N. Metropolis and A. H. Taub and John Todd and C. B. Tompkins", booktitle = "{Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962}", title = "{Experimental arithmetic, high speed computing and mathematics: Proceedings of the fifteenth Symposium in Applied Mathematics of the American Mathematical Society held in Chicago, Illinois, April 12--14, 1962 and Atlantic City, New Jersey, April 16-19, 1962}", volume = "15", publisher = pub-AMS, address = pub-AMS:adr, pages = "ix + 396", year = "1963", ISSN = "0160-7634", LCCN = "QA297 .S987 1962", bibdate = "Tue Mar 20 10:37:16 2007", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", ZMnumber = "0124.24106", acknowledgement = ack-nhfb, editor-dates = "John Todd (16 May 1911--21 June 2007)", tableofcontents = "1. Purposeful and unpurposeful computing / Cohn \\ 2. Eliminating the irrelevant from mechanical proofs / Davis \\ 3. The mechanization of mathematical arguments / Wang \\ 4. Towards more versatile mechanical translators / Irons \\ 5. Information theory and decoding computations / Elias \\ 6. Adaptive neural networks as brain models / Block \\ 7. Computer investigation of orthogonal Latin squares of order ten / Parker \\ 8. Determination of division algebra with 32 elements / Walker \\ 9. How programming difficulties lead to theoretical advances / Dade and Zassenhaus \\ 10. Methods of successive restrictions in computational problems involving discrete variables / Tompkins \\ 11. An experimental study of the simplex method / Kuhn and Quandt \\ 12. Large and nonconvex problems in linear programming / GoMory \\ 13. Some high speed logic / Lehmer \\ 14. Stability questions for some numerical methods for ordinary differential equations / Dahlquist \\ 15. Some applications of the quotient--difference algorithm / Henrici \\ 16. Plane-rotations in floating-point arithmetic / Wilkinson \\ 17. New aspects in numerical quadrature / Bauer, kutishauser, and Stiefel \\ 18. On Jacobi rotation patterns / Rutishauser \\ 19. Automatic numerical integration of ordinary differential equations / Nordsieck \\ 20. Survey of stability of different schemes for solving initial value problems for hyperbolic equations / Lax \\ 21. Unexpected dividends in the theory of prime numbers / Rosser \\ 22. The particle-in-cell method for numerical solution of problems in fluid dynamics / Harlow \\ 23. Numerical experiments in atmospheric hydrodynamics / Charney \\ 24. The oscillations of the earth and of the atmosphere / MacDonald \\ 25. Few particle experiments in statistical mechanics / Alder \\ 26. An approach to the Ising problem using a large scale fast digital computer / Yang \\ 27. Applied mathematics as used in theoretical chemistry / Hirschfelder \\ 28. The mechanization of science / Hamming", ZBmath = "3201609", } @Proceedings{Beckenbach:1983:GII, editor = "Edwin F. Beckenbach and Wolfgang Walter", booktitle = "{General Inequalities 3: 3rd International Conference on General Inequalities Oberwolfach, April 26--May 2, 1981}", title = "{General Inequalities 3: 3rd International Conference on General Inequalities Oberwolfach, April 26--May 2, 1981}", volume = "64", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xxi + 563", year = "1983", ISBN = "3-7643-1539-3", ISBN-13 = "978-3-7643-1539-9", LCCN = "QA295 .I57 1981", bibdate = "Sun Mar 25 10:04:46 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; z3950.loc.gov:7090/Voyager", series = "International series of numerical mathematics", URL = "https://link.springer.com/book/10.1007/978-3-0348-6290-5", acknowledgement = ack-nhfb, meetingname = "International Conference on General Inequalities (3rd: 1981: Oberwolfach, Germany)", subject = "Inequalities (Mathematics); Congresses", } @Proceedings{Crane:1987:HAC, editor = "G. E. Crane", booktitle = "{HSNC'87: ACM Conference on the History of Scientific and Numeric Computation, conference proceedings: papers presented at the Conference, Princeton, New Jersey, May 13-15, 1987}", title = "{HSNC'87: ACM Conference on the History of Scientific and Numeric Computation, conference proceedings: papers presented at the Conference, Princeton, New Jersey, May 13-15, 1987}", publisher = pub-ACM, address = pub-ACM:adr, pages = "viii + 150", month = oct, year = "1987", ISBN = "0-89791-229-2", ISBN-13 = "978-0-89791-229-7", LCCN = "QA76 .A25 1987", bibdate = "Tue Nov 14 13:59:59 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; http://portal.acm.org/proceedings/hsnc/; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib", acknowledgement = ack-nhfb, author-dates = "David M. Young, Jr. (October 20, 1923--December 21, 2008); George Elmer Forsythe (8 January 1917--9 April 1972); John Todd (16 May 1911--21 June 2007); John W. Tukey (16 June 1915--26 July 2000); Leslie Fox (30 September 1918--1 August 1992); Magnus Rudolph Hestenes (13 February 1906--31 May 1991)", remark = "Sponsored by the Allegheny Region of the Association for Computing Machinery in cooperation with ACM SIGNUM and the Society for Industrial and Applied Mathematics.", subject = "Electronic data processing; Congresses; Electronic digital computers; Ordinateurs; Congr{\`e}s; Electronic data processing.; Electronic digital computers.", subject-dates = "George Elmer Forsythe (8 January 1917--9 April 1972); James H. Wilkinson (27 September 1919--5 October 1986); John W. Tukey (16 June 1915--26 July 2000)", tableofcontents = "H. H. Goldstine / Keynote address --- Remembrance of things past / https://doi.org/10.1145/41579.41580 / 1--16 \\ L. Fox / Early numerical analysis in the United Kingdom / https://doi.org/10.1145/41579.41581 / 21--39 \\ J. Todd / The prehistory and ancient history of computation at the U.S. National Bureau of Standards / https://doi.org/10.1145/41579.41582 / 47--51 \\ D. J. Wheeler / Programmed computing at the Universities of Cambridge and Illinois in the early fifties / https://doi.org/10.1145/41579.41583 / 53--58 \\ The development of methods of using computers for calculations in the early fifties at Cambridge and Illinois Universities. They are the recollections of a participant. \\ J. R. Rice / Mathematical software and ACM Publications / https://doi.org/10.1145/41579.41584 / 59--62 \\ M. Gutknecht / The pioneer days of scientific computing in Switzerland / https://doi.org/10.1145/41579.41585 / 63--69 \\ M. R. Hestenes / Conjugacy and gradients in variational theory and analysis / https://doi.org/10.1145/41579.41586 / 71--90 \\ C.-E. Fr{\"o}berg / {B I T} --- a child of the computer / https://doi.org/10.1145/41579.41587 / 91--93 \\ I. Babuska / Comments on postwar development of computational mathematics in some countries of Eastern Europe / https://doi.org/10.1145/41579.41588 / 95--96 \\ J. W. Cooley / How the FFT gained acceptance / https://doi.org/10.1145/41579.41589 / 97--100 \\ C. W. Gear, R. Skeel / The development of ODE methods: a symbiosis between hardware and numerical analysis / https://doi.org/10.1145/41579.41590 / 105--115 \\ D. M. Young / An historical review of iterative methods / https://doi.org/10.1145/41579.41591 / 117--123 \\ T. Oden / Some historic comments on finite elements / https://doi.org/10.1145/41579.41592 / 125--130 \\ B. N. Parlett / J. H. Wilkinson's work and influence on matrix computations / https://doi.org/10.1145/41579.41593 / 133--138 \\ J. Varah / The work of George Forsythe and his students / https://doi.org/10.1145/41579.41594 / 139--150", } @Book{Nash:1990:HSC, editor = "Stephen G. Nash", booktitle = "A History of Scientific Computing", title = "A History of Scientific Computing", publisher = pub-AW # " and " # pub-ACM, address = pub-AW # " and " # pub-ACM:adr, pages = "xix + 359", year = "1990", ISBN = "0-201-50814-1", ISBN-13 = "978-0-201-50814-7", LCCN = "QA76.17 .H59 1990", bibdate = "Wed Dec 15 10:39:57 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "ACM Press history series", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022); Garrett Birkhoff (19 January 1911--22 November 1996); Magnus Rudolph Hestenes (13 February 1906--31 May 1991)", remark = "Based on papers presented at the Conference on the History of Scientific and Numeric Computation, held in Princeton, NJ, 1987. A few brief mentions of Alston Householder are indexed in the book, with photographs of him on pages xvi and 344.", subject = "Electronic data processing; History; Science; Data processing", tableofcontents = "Remembrance of things past / Herman H. Goldstine / 5--16 \\ The contribution of J. H. Wilkinson to numerical analysis / B. N. Parlett / 17--30 \\ The influence of George Forsythe and his students / James Varah / 31--40 \\ Howard H. Aiken and the computer / I. Bernard Cohen / 41--52 \\ Particles in their self-consistent field: from Hartree's differential analyzer to Cray machines / Oscar Buneman / 57--62 \\ Fluid dynamics, reactor computations, and surface representation / Garrett Birkhoff / 63--87 \\ The development of ODE methods: a symbiosis between hardware and numerical analysis / C. W. Gear and R. D. Skeel / 88--105 \\ A personal retrospection of reservoir simulation / Donald W. Peaceman / 106--129 \\ How the FFT gained acceptance / James W. Cooley / 133--140 \\ Origins of the simplex method / George B. Dantzig / 141--151 \\ Historical comments on finite elements / J. Tinsley Oden / 152--166 \\ Conjugacy and gradients / Magnus R. Hestenes / 167--179 \\ A historical review of iterative methods / David M. Young / 180--194 \\ Shaping the evolution of numerical analysis in the computer age: the SIAM thrust / I. Edward Block / 199--205 \\ Reminiscences on the University of Michigan summer schools, the Gatlinburg Symposia, and Numerische Mathematik / Richard S. Varga / 206--210 \\ The origin of mathematics of computation and some personal recollections / Eugene Isaacson / 211--216 \\ Mathematical software and ACM publications / John R. Rice / 217--227 \\ BIT --- a child of the computer / Carl-Erik Fr{\"o}berg / 228--233 \\ The Los Alamos experience, 1943--1954 / N. Metropolis / 237--250 \\ The prehistory and early history of computation at the U.S. National Bureau of Standards / John Todd / 251--268 \\ Programmed computing at the Universities of Cambridge and Illinois in the early fifties / David J. Wheeler / 269--279 \\ Early numerical analysis in the United Kingdom / L. Fox / 280--300 \\ The pioneer days of scientific computing in Switzerland / Martin H. Gutknecht / 301--313 \\ The development of computational mathematics in Czechoslovakia and the USSR / I. Babuska / 314--328 \\ The contribution of Leningrad mathematicians to the development of numerical linear algebra, 1950--1986 / V. N. Kublanovskaya / 329--338", } @Proceedings{Brown:1994:PCL, editor = "J. David Brown and Moody T. Chu and Donald C. Ellison and Robert J. Plemmons", booktitle = "{Proceedings of the Cornelius Lanczos International Centenary Conference, Raleigh, North Carolina, December 12--17, 1993}", title = "{Proceedings of the Cornelius Lanczos International Centenary Conference, Raleigh, North Carolina, December 12--17, 1993}", volume = "73", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "lxv + 644", year = "1994", ISBN = "0-89871-339-0", ISBN-13 = "978-0-89871-339-8", LCCN = "QC19.2 .C67 1993", bibdate = "Wed Jun 8 14:42:43 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/einstein.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager", series = "Proceedings in Applied Mathematics", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007)", meetingname = "Cornelius Lanczos International Centenary Conference (1993:Raleigh, NC)", subject = "Mathematical physics; Congresses; Astrophysics; Mathematics; Lanczos, Cornelius; Physicists; Hungary; Biography; Mathematicians", subject-dates = "1893--1974", tableofcontents = "The Life and Works of Cornelius Lanczos \\ \\ A Photographic Essay / / xvii \\ Cornelius Lanczos: A Biographical Essay / Barbara Gellai / xxi \\ Cornelius Lanczos (1893-1974), and the Hungarian Phenomenon in Science and Mathematics / Peter D. Lax / xlix \\ The Roots of Cornelius Lanczos / George Marx / liii \\ Reminiscences of Cornelius Lanczos / Jon Todd / lviii \\ Published Papers and Books of Cornelius Lanczos / / lx \\ \\ Plenary Presentations: Computational Mathematics \\ \\ Lanczos and the FFT: A Discovery Before its Time / James W. Cooley / 3 \\ Lanczos Algorithms for Large Scale Symmetric and Nonsymmetric Matrix Eigenvalue Problems / Jane K. Cullum / 11 \\ The Look-Ahead Lanczos Process for Nonsymmetric Matrices and its Applications / Roland W Freund / 33 \\ The Lanczos and Conjugate Gradient Algorithms in Finite Precision Arithmetic / Anne Greenbaum / 49 \\ The Lanczos Process and Pade Approximation / Martin H. Gutknecht / 61 \\ The Tau Method and the Numerical Solution of Differential Equations: Past Research and Recent Research / Eduardo L. Ortiz / 77 \\ Krylov Subspace Processes, Krylov Subspace Methods, and Iteration Polynomials / C. C. Paige / 83 \\ Do We Fully Understand the Symmetric Lanczos Algorithm Yet? / Beresford N. Parlett / 93 \\ On Generalized Band Matrices and Their Inverses / P{\'a}l R{\'o}sa, Francesco Romani, and Roberto Bevilacqua / 109 \\ Theoretical Error Bounds and General Analysis of a Few Lanczos-Type Algorithms / Youcef Saad / 123 \\ Lanczos and Linear Systems / G. W. Stewart / 135 \\ \\ Plenary Presentations: Theoretical Physics and Astrophysics \\ \\ Integration on the Space of Connections Modulo Gauge Transformations / Abbay Ashtekar, Donald Marolf, and Jose Mourdo / 143 \\ Quasiclassical Domains in a Quantum Universe / James B. Hartle / 161 \\ Gauge Invariant Energy-Momentum Tensor in Spinar Electrodynamics / D. Petiot and Y. Takahashi / 173 \\ $\gamma$-Ray Bursts and Neutron Star Mergers / Tsvi Piran / 187 \\ Lanczos's Early Contributions to Relativity and His Relationship with Einstein / John Stachel / 201 \\ Topological Roots of Black Hole Entropy / Claudio Teitelboim / 223 \\ Variational Principles, Local Symmetries, and Black Hole Entropy / Robert M. Wald / 231 \\ \\ Mathematics Minisymposia \\ \\ Eigenvalue Computations: Theory and Algorithms / / 241 \\ Eigenvalue Computations: Applications / / 249 \\ Moments in Numerical Analysis / / 265 \\ Iterative Methods for Linear Systems / / 277 \\ Least Squares / / 301 \\ Software for Lanczos-based Algorithms / / 311 \\ Tau Method / / 335 \\ Chebyshev Polynomials / / 357 \\ Lanczos Methods in Control and Signal Processing / / 375 \\ Development of the FFT / / 393 \\ The FFT in Signal Processing / / 399 \\ Wavelets / / 411 \\ \\ Physics Minisymposia \\ \\ Computational Magnetohydrodynamics in Astrophysics / / 431 \\ Numerical Simulations of Collisionless Space Plasmas / / 453 \\ Detection of Gravitational Radiation from Astrophysical Sources / / 477 \\ Lanczos $H$-tensor / / 489 \\ Cosmic Censorship / / 513 \\ Cauchy Problem of General Relativity / / 527 \\ Black Hole Evaporation and Thermodynamics / / 543 \\ The Problem of Time in Quantum Gravity / / 555 \\ New Variables and Loop Quantization / / 571 \\ Decoherence and the Foundations of Quantum Mechanics / / 589 \\ Open Questions in Particle Theory / / 603 \\ Supercollider Physics / / 621 \\ Symplectic Methods in Physics / / 633", } @Book{Berggren:2000:PSB, editor = "Lennart Berggren and Jonathan Borwein and Peter Borwein", booktitle = "Pi: a source book", title = "Pi: a source book", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xx + 736", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-3240-5", ISBN = "0-387-98946-3 (hardcover)", ISBN-13 = "978-0-387-98946-4 (hardcover)", LCCN = "QA484 .P5 2000", MRclass = "11-00 (01A05 01A75 11-03)", MRnumber = "1746004", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", acknowledgement = ack-nhfb, author-dates = "John Todd (16 May 1911--21 June 2007); Jonathan Michael Borwein (20 May 1951--2 August 2016)", libnote = "Not yet in my library.", ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646", subject = "Pi (mathematical constant)", tableofcontents = "Preface / v \\ \\ Preface to the Second Edition / viii \\ Acknowledgments / ix \\ \\ Introduction / xvii \\ \\ 1. The Rhind Mathematical Papyrus-Problem 50 ($\approx$ 1650 B.C.) / A problem dealing with the area of a round field of given diameter / 1 \\ \\ 2. Engels. Quadrature of the Circle in Ancient Egypt (1977) / A conjectural explanation of how the mathematicians of ancient Egypt approximated the area of a circle / 3 \\ \\ 3. Archimedes. Measurement of a Circle ($\approx$ 250 BC) / The seminal work in which Archimedes presents the first true algorithm for $\pi$ / 7 \\ \\ 4. Phillips. Archimedes the Numerical Analyst (1981) / A summary of Archimedes' work on the computation of $\pi$ using modern notation / 15 \\ \\ 5. Lam and Ang. Circle Measurements in Ancient China (1986) / This paper discusses and contains a translation of Liu Hui's (3rd century) method for evaluating $\pi$ and also examines values for $\pi$ given by Zu Chongzhi (429--500) / 20 \\ \\ 6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane and Solid Figures ($\approx$ 850) / This extract gives an explicit statement and proof that the ratio of the circumference to the diameter is constant / 36 \\ \\ 7. M{\=a}dhava. The Power Series for Arctan and Pi ($\approx$ 1400) / These theorems by a fifteenth century Indian mathematician give Gregory's series for arctan with remainder terms and Leibniz's series for $\pi$ / 45 \\ \\ 8. Hope-Jones. Ludolph (or Ludolff or Lucius) van Ceulen (1938) / Correspondence about van Ceulen's tombstone in reference to it containing some digits of $\pi$ / 51 \\ \\ 9. Vi{\'e}te. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) / Two excerpts. One containing the first infinite expression of $\pi$, obtained by relating the area of a regular $2n$-gon to that of a regular $n$-gon / 53 \\ \\ 10. Wallis. Computation of $\pi$ by Successive Interpolations (1655) / How Wallis derived the infinite product for $\pi$ that bears his name / 68 \\ \\ 11. Wallis. Arithmetica Infinitorum (1655) / An excerpt including Prop. 189, 191 and an alternate form of the result that gives Wm. Brounker's continued fraction expression for $4/\pi$ / 78 \\ \\ 12. Huygens. De Circuli Magnitudine Inventa (1724) / Huygens's proof of W. Snell's discovery of improvements in Archimedes' method of estimating the lengths of circular arcs / 81 \\ \\ 13. Gregory. Correspondence with John Collins (1671) / A letter to Collins in which he gives his series for arctangent, carried to the ninth power. / 87 \\ \\ 14. Roy. The Discovery of the Series Formula for $\pi$ by Leibniz, Gregory, and Nilakantha (1990) / A discussion of the discovery of the series $\pi/4 = 1 - 1/3 + 1/5, \cdots{}$ / 92 \\ \\ 15. Jones. The First Use of $\pi$ for the Circle Ratio (1706) / An excerpt from Jones' book, the Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics, London, 1706 / 108 \\ \\ 16. Newton. Of the Method of Fluxions and Infinite Series (1737) / An excerpt giving Newton's calculation of $\pi$ to 16 decimal places / 110 \\ \\ 17. Euler. Chapter 10 of Introduction to Analysis of the Infinite (On the Use of the Discovered Fractions to Sum Infinite Series) (1748) / This includes many of Euler's infinite series for $\pi$ and powers of $\pi$ / 112 \\ \\ 18. Lambert. M{\'e}moire Sur Quelques Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s Transcendentes Circulaires et Logarithmiques (1761) / An excerpt from Lambert's original proof of the irrationality of $\pi$ / 129 \\ \\ 19. Lambert. Irrationality of $\pi$ (1969) / A translation and Struik's discussion of Lambert's proof of the irrationality of $\pi$ / 141 \\ \\ 20. Shanks. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) / Pages from Shank's report of his monumental hand calculation of $\pi$ / 147 \\ \\ 21. Hermite. Sur La Fonction Exponentielle (1873) / The first proof of the transcendence of $e$ / 162 \\ \\ 22. Lindemann. Ueber die Zahl $\pi$ (1882) / The first proof of the transcendence of $\pi$ / 194 \\ \\ 23. Weierstrass. Zu Lindemann's Abhandlung ``Uber die Ludolphsche Zahl'' (1885) / Weierstrass' proof of the transcendence of $\pi$ / 207 \\ \\ 24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und $\pi$ (1893) / Hilbert's short and elegant simplification of the transcendence proofs for $e$ and $\pi$ / 226 \\ \\ 25. Goodwin. Quadrature of the Circle (1894) / The dubious origin of the attempted legislation of the value of $\pi$ in Indiana / 230 \\ \\ 26. Edington. House Bill No. 246, Indiana State Legislature, 1897 (1935) / A summary of the action taken by the Indiana State Legislature to fix the value of $\pi$ (including a copy of the actual bill that was proposed) / 231 \\ \\ 27. Singmaster. The Legal Values of Pi (1985) / A history of the attempt by Indiana to legislate the value of $\pi$ / 236 \\ \\ 28. Ramanujan. Squaring the Circle (1913) / A geometric approximation to $\pi$ / 240 \\ \\ 29. Ramanujan. Modular Equations and Approximations to $\pi$ (1914) / Ramanujan's seminal paper on $\pi$ that includes a number of striking series and algebraic approximations / 241 \\ \\ 30. Watson. The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) / A Presidential address to the Mathematical Association in which the author gives an account of ``some of the elementary work on arcs and ellipses and other curves which led up to the idea of inverting an elliptic integral, and so laying the foundations of elliptic functions and doubly periodic functions generally.'' / 258 \\ \\ 31. Ballantine. The Best (?) Formula for Computing $\pi$ to a Thousand Places (1939) / An early attempt to orchestrate the calculation of $\pi$ more cleverly / 271 \\ \\ 32. Birch. An Algorithm for Construction of Arctangent Relations (1946) / The object of this note is to express $\pi / 4 $ as a sum of arctan relations in powers of 10 / 274 \\ \\ 33. Niven. A Simple Proof that $\pi$ Is Irrational (1947) / A very concise proof of the irrationality of $\pi$ / 276 \\ \\ 34. Reitwiesner. An ENIAC Determination of $\pi$ and $e$ to 2000 Decimal Places (1950) / One of the first computer-based computations / 277 \\ \\ 35. Schepler. The Chronology of Pi (1950) / A fairly reliable outline of the history of $\pi$ from 3000 BC to 1949 / 282 \\ \\ 36. Mahler. On the Approximation of $\pi$ (1953) / ``The aim of this paper is to determine an explicit lower bound free of unknown constants for the distance of $\pi$ from a given rational or algebraic number'' / 306 \\ \\ 37. Wrench, Jr. The Evolution of Extended Decimal Approximations to $\pi$ (1960) / A history of the calculation of the digits of $\pi$ to 1960 \\ \\ 38. Shanks and Wrench, Jr. Calculation of $\pi$ to 100,000 Decimals (1962) / A landmark computation of $\pi$ to more than 100,000 places / 326 \\ \\ 39. Sweeny. On the Computation of Euler's Constant (1963) / The computation of Euler's constant to 3566 decimal places / 350 \\ \\ 40. Baker. Approximations to the Logarithms of Certain Rational Numbers (1964) / The main purpose of this deep and fundamental paper is to ``deduce results concerning the accuracy with which the natural logarithms of certain rational numbers may be approximated by rational numbers, or, more generally, by algebraic numbers of bounded degree.'' / 359 \\ \\ 41. Adams. Asymptotic Diophantine Approximations to $E$ (1966) / An asymptotic estimate for the rational approximation to $e$ which disproves the conjecture that $e$ behaves like almost all numbers in this respect / 368 \\ \\ 42. Mahler. Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) / An important extension of Hilbert's approach to the study of transcendence / 372 \\ \\ 43. Eves. In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) / A collection of mathematical stories and anecdotes about $\pi$ / 400 \\ \\ 44. Eves. Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) / A further collection of mathematical stories and anecdotes about $\pi$ / 402 \\ \\ 45. Todd. The Lemniscate Constants (1975) / A unifying account of some of the methods used for computing the lemniscate constants / 412 \\ \\ 46. Salamin. Computation of r Using Arithmetic-Geometric Mean (1976) / The first quadratically converging algorithm for $\pi$ based on Gauss's AGM and on Legendre's relation for elliptic integrals / 418 \\ \\ 47. Brent. Fast Multiple-Precision Evaluation of Elementary Functions (1976) / ``This paper contains the `Gauss-Legendre' method and some different algorithms for log and exp (using Landen transformations).'' / 424 \\ \\ 48. Beukers. A Note on the Irrationality of $\zeta(2)$ and $\zetq(3)$ (1979) / A short and elegant recasting of Ap{\'e}ry's proof of the irrationality of $\zeta(3)$ (and $\zeta(2)$) / 434 \\ \\ 49. van der Poorten. A Proof that Euler Missed \ldots{} Ap{\'e}ry's Proof of the Irrationality of $\zeta(3)$ (1979) / An illuminating account of Ap{\'e}ry's astonishing proof of the irrationality of $\zeta(3)$ / 439 \\ \\ 50. Brent and McMillan. Some New Algorithms for High-Precision Computation of Euler's Constant (1980) / Several new algorithms for high precision calculation of Euler's constant, including one which was used to compute 30,100 decimal places / 448 \\ \\ 51. Apostol. A Proof that Euler Missed: Evaluating $\zeta(2)$ the Easy Way (1983) / This note shows that one of the double integrals considered by Beukers ([48] in the table of contents) can be used to establish directly that $\zeta(2) = \pi / 6$ / 456 \\ \\ 52. O'Shaughnessy. Putting God Back in Math (1983) / An article about the Institute of Pi Research, an organization that ``pokes fun at creationists by pointing out that even the Bible makes mistakes.'' / 458 \\ \\ 53. Stern. A Remarkable Approximation to $\pi$ (1985) / Justification of the value of $\pi$ in the Bible through numerological interpretations / 460 \\ \\ 54. Newman and Shanks. On a Sequence Arising in Series for $\pi$ (1984) / More connections between $\pi$ and modular equations / 462 \\ \\ 55. Cox. The Arithmetic-Geometric Mean of Gauss (1984) / An extensive study of the complex analytic properties of the AGM / 481 \\ \\ 56. Borwein and Borwein. The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions (1984) / The relationship between the AGM iteration and fast computation of elementary functions (one of the by-products is an algorithm for $\pi$) / 537 \\ \\ 57. Newman. A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) / Elementary algorithms for evaluating $e^x$ and $\pi$ using the Gauss AGM without explicit elliptic function theory / 553 \\ \\ 58. Wagon. Is Pi Normal? (1985) / A discussion of the conjecture that $\pi$ has randomly distributed digits / 557 \\ \\ 59. Keith. Circle Digits: A Self-Referential Story (1986) / A mnemonic for the first 402 decimal places of $\pi$ / 560 \\ \\ 60. Bailey. The Computation of $\pi$ to 29,360,000 Decimal Digits Using Borweins' Quartically Convergent Algorithm (1988) / The algorithms used, both for $\pi$ and for performing the required multiple-precision arithmetic / 562 \\ \\ 61. Kanada. Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of 1 Calculation (1988) / Details of the computation and statistical tests of the first 200 million digits of $\pi$ / 576 \\ \\ 62. Borwein and Borwein. Ramanujan and Pi (1988) / This article documents Ramanujan's life, his ingenious approach to calculating $\pi$, and how his approach is now incorporated into modern computer algorithms / 588 \\ \\ 63. Chudnovsky and Chudnovsky. Approximations and Complex Multiplication According to Ramanujan (1988) / This excerpt describes ``Ramanujan's original quadratic period--quasiperiod relations for elliptic curves with complex multiplication and their applications to representations of fractions of $\pi$ and other logarithms in terms of rapidly convergent nearly integral (hypergeometric) series.'' / 596 \\ \\ 64. Borwein, Borwein and Bailey. Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) / An exposition of the computation of $\pi$ using mathematics rooted in Ramanujan's work / 623 \\ \\ 65. Borwein, Borwein and Dilcher. Pi, Euler Numbers, and Asymptotic Expansions (1989) / An explanation as to why the slowly convergent Gregory series for $\pi$, truncated at 500,000 terms, gives $\pi$ to 40 places with only the 6th, 17th, 18th, and 29th places being incorrect / 642 \\ \\ 66. Beukers, B{\'e}zivin, and Robba. An Alternative Proof of the Lindemann--Weierstrass Theorem (1990) / The Lindemann--Weierstrass theorem as a by-product of a criterion for rationality of solutions of differential equations / 649 \\ \\ 67. Webster. The Tail of Pi (1991) / Various anecdotes about $\pi$ from the 14th annual IMO Lecture to the Royal Society / 654 \\ \\ 68. Eco. An excerpt from Foucault's Pendulum (1993) / ``The unnumbered perfection of the circle itself.'' / 658 \\ \\ 69. Keith. Pi Mnemonics and the Art of Constrained Writing (1996) / A mnemonic for $\pi$ based on Edgar Allen Poe's poem ``The Raven.'' / 659 \\ \\ 70. Bailey, Borwein, and Plouffe. On the Rapid Computation of Various Polylogarithmic Constants (1996) / A fast method for computing individual digits of $\pi$ in base 2 / 663 \\ Appendix I --- On the Early History of Pi / 677 \\ \\ Appendix II --- A Computational Chronology of Pi / 683 \\ \\ Appendix III --- Selected Formulae for Pi / 686 \\ \\ Appendix IV --- Translations of Vi{\`e}te and Huygens / 690 \\ Bibliography / 711 \\ \\ Credits / 717 \\ \\ Index / 721", } @Book{James:2012:TM, editor = "Glenn James and E. F. Beckenbach", booktitle = "The Tree of Mathematics", title = "The Tree of Mathematics", publisher = "Digest Press", address = "Literary Licensing, LLC", pages = "xvii + 403", year = "2012", ISBN = "1-258-28562-2", ISBN-13 = "978-1-258-28562-3", LCCN = "QA37 .J26", bibdate = "Tue Mar 27 10:47:28 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)", remark = "Reprint of \cite{James:1957:TM}.", subject = "Mathematics", tableofcontents = "Authors / vi \\ Preface / vii \\ Introduction / viii \\ 1. Fundamentals of Beginning Algebra / 1 \\ 1. Introduction / 1 \\ 2. Algebraic statement of addition / 1 \\ 3. Algebraic statement of multiplication / 2 \\ 4. Further simplification by use of algebraic language / 2 \\ 5. Multiplication of a sum / 3 \\ 6. Sentences translated into algebraic language, equations / 4 \\ 7. Solution of equations by trial / 4 \\ 8. Algebraic solution of written problems / 5 \\ 9. Solution of linear equations / 6 \\ 10. Equations with literal coefficients / 7 \\ 11. Negative numbers / 8 \\ 12. The positive and negative numbers of algebra / 9 \\ 13. Addition, subtraction, multiplication and division of signed numbers / 9 \\ 14. Rules of signs for the multiplication and division of signed numbers / 12 \\ 15. Equations containing parentheses / 12 \\ 16. Equations with two unknowns / 13 \\ 17. Graphical representation of equations / 15 \\ 18. Graphical solution of simultaneous equations / 17 \\ Problems / 18 \\ 2. The Grammar of Algebra / 20 \\ 19. Introduction / 20 \\ 20. Functional relationships / 20 \\ 21. Formulas / 22 \\ 22. Graph of a functional relationship / 23 \\ 23. Exponents / 24 \\ 4. Quadratic equations / 25 \\ 25. Algebraic addition of polynomials / 26 \\ 26. Multiplication of binomials / 27 \\ 27. Factoring / 28 \\ 28. Solution of quadratic equations by factoring / 28 \\ 29. Solution of quadratic equations by completing the square / 29 \\ 30. The quadratic formula / 31 \\ 31. Radicals and imaginary numbers / 32 \\ 32. Approximating square roots by the mechanics rule / 33 \\ 33. Simplifying radicals / 33 \\ 34. Laws of exponents / 34 \\ 35. Negative exponents / 34 \\ 36. Fractional exponents / 35 \\ 37. Logarithms / 35 \\ 38. Equations of the third degree / 36 \\ 39. Solution of cubics by trial / 37 \\ 40. Solution of cubics by factoring / 37 \\ 41. Graphical solution of the cubic / 37 \\ Problems / 39 \\ 3. The Meaning of Plane Geometry / 41 \\ 42. Introduction / 41 \\ 43. Scientific thinking / 41 \\ 44. Nature of geometric proofs / 44 \\ 45. Standards for definitions / 45 \\ 46. Axioms / 45 \\ 47. Working hypotheses, postulates / 47 \\ 48. Reasoning about plane figures / 48 \\ 49. As illustrative proof / 49 \\ 50. Angles measured by degrees / 50 \\ 51. Types of proofs / 50 \\ 52. Congruent triangles / 51 \\ 53. Similarity / 54 \\ 54. Plane areas / 54 \\ Problems / 56 \\ 4. The Basic Concepts of Trigonometry / 59 \\ 55. Introduction / 59 \\ 56. Similar right triangles / 59 \\ 57. The trigonometric functions / 60 \\ 58. Variations of the values of trigonometric functions / 62 \\ 59. Relations between the trigonometric functions / 63 \\ 60. Trigonmetric functions of 45$^\circ$, 30$^\circ$ and 60$^\circ$ / 63 \\ 61. Applications / 65 \\ 62. The sine law / 67 \\ 63. Functions of angles greater than 90$^\circ$ / 68 \\ 64. Graphs of trigonometric functions / 70 \\ Problems / 71 \\ 5. Irrational Numbers / 73 \\ 65. Integers / 73 \\ 66. Rational numbers / 74 \\ 67. Equality / 74 \\ 68. Inequalities / 74 \\ 69. Addition / 75 \\ 70. Multiplication / 75 \\ 71. The rational numbers as sections or cuts / 75 \\ 72. The square root of two / 77 \\ 73. The square root of two is not a rational number / 79 \\ 74. The $\sqrt{2}$ defined as a section or cut / 79 \\ 75. Irrational numbers / 80 \\ 76. Operations upon irrational numbers / 81 \\ Problems / 81 \\ 6. Analytic Geometry, the Framework of Mathematics / 84 \\ 77. Introduction to use of graphs / 84 \\ 78. Cartesian coordinates / 85 \\ 79. Slope of a line / 86 \\ 80. Equations of circles and curves / 87 \\ 81. Conics / 88 \\ 82. Intersections of curves / 89 \\ 83. Parametric and polar coordinates / 90 \\ 84. Change of coordinate systems / 92 \\ Problems / 92 \\ 7. The Gist of the Calculus / 95 \\ 85. Introduction / 95 \\ 86. Slope and instantaneous rate of change / 95 \\ 87. The derivative / 97 \\ 88. Special derivatives / 99 \\ 89. Rate of Change and higher derivatives / 100 \\ 90. Maximum and minimum / 100 \\ 91. The differential / 102 \\ 92. The partial derivative / 103 \\ 93. The mean value theorem / 105 \\ 94. Finding areas by the calculus / 106 \\ 95. The indefinite integral and further applications / 109 \\ Problems / 112 \\ 8. The Arithmetic of Vectors / 114 \\ 96. Introduction / 114 \\ 97. Geometric addition and subtraction of vectors / 114 \\ 98. The scalar product of two vectors / 115 \\ 99. The vector or cross product of two vectors / 115 \\ 100. Algebraic addition, subtraction and multiplication of vectors / 115 \\ 9. Elementary Differential Equations / 117 \\ 101. Introduction / 117 \\ 102. The physical origin of differential equations / 118 \\ 103. Elementary methods of solution of certain first order equations / 121 \\ 104. Separable equations / 121 \\ 105. Geometrical interpretation of first order equations / 123 \\ 106. Linear equations / 125 \\ 107. Conclusion / 129 \\ 10. Infinite Sequences and Series of Constant Terms / 130 \\ 108. Successive approximations --- Limit of a sequence --- Convergence and divergence of a sequence of series / 130 \\ 109. Tests for convergence / 132 \\ 110. Summable series / 134 \\ 11. Elementary Theory of Numbers / 136 \\ 111. Divisibility / 136 \\ 112. Congruence / 138 \\ 113. Fermat's theorem / 138 \\ 114. Primitive roots / 139 \\ 115. Wilson's theorem / 139 \\ 116. Quadratic residues / 140 \\ 117. Number of primes / 140 \\ 118. Forms / 141 \\ 119. Waring's problem / 141 \\ 120. Other problems / 142 \\ 121. Algebraic numbers / 142 \\ 12. Metric Differential Geometry / 144 \\ 122. Space coordinates / 144 \\ 123. Equations of curves / 145 \\ 124. Explicit definition of differential geometry / 147 \\ 125. Direction cosines / 148 \\ 126. Arc-length / 149 \\ 127. Tangent surface to a space curve / 150 \\ 128. Parametric curves on a surface / 150 \\ 129. Curvatures at a point on a surface / 150 \\ 130. The moving trihedral / 151 \\ 131. The circle of normal curvature / 151 \\ 132. Types of curvature / 152 \\ 133. Minimal surfaces / 153 \\ 134. Differential geometry in the large / 153 \\ 135. Applicable surfaces and absolute geometry / 154 \\ 13. Non-Euclidean Geometry / 156 \\ 136. Introduction / 156 \\ 137. Spherical geometry / 157 \\ 138. The hyperbolic functions / 163 \\ 139. Mobility of figures / 164 \\ 140. Hyperbolic geometry / 170 \\ 14. Projective Geometry / 173 \\ 141. Introduction / 173 \\ 142. The axioms of incidence / 173 \\ 143. The principle of duality / 175 \\ 144. The projective plane and the affine plane / 176 \\ 145. Desargues' theorem and harmonic conjugacy / 177 \\ 146. Perspectivity / 178 \\ 147. Segment in interval / 179 \\ 148. The axioms of order / 180 \\ 149. The axiom of continuity / 180 \\ 150. Ordered correspondence / 181 \\ 151. Projectivity / 182 \\ 152. The number of invariant points / 183 \\ 153. Involution / 185 \\ 154. Direct and opposite projectivities / 186 \\ 155. Collineation and correlation / 187 \\ 156. Polarity / 188 \\ 157. The conic / 191 \\ 158. Various extensions of the theory / 193 \\ 15. Some Concepts of Elementary Topology / 195 \\ 159. Introduction / 195 \\ 160. Simple closed curves / 196 \\ 161. Homomorphic mapping / 196 \\ 162. Topological properties / 197 \\ 163. The Jordan curve theorem / 197 \\ 164. Connected sets / 200 \\ 165. Closed sets / 200 \\ 166. Dedekind cut postulate / 201 \\ 167. Continuous sets / 202 \\ 16. Complex Variable Theory / 204 \\ 168. Introduction / 204 \\ 169. The complex number system / 204 \\ 170. Graphical representation of complex numbers / 206 \\ 171. Stereographic project; the extended plane / 211 \\ 172. Loci; sets of points; topology / 212 \\ 173. Complex functions; Riemann surfaces / 214 \\ 174. Continuity; differentiation / 216 \\ 175. Complex integration / 218 \\ 176. Analyticity / 220 \\ 17. The Theory of Functions of a Real Variable / 222 \\ 177. Introduction / 222 \\ 178. Rational Numbers / 222 \\ 179. Irrational Numbers / 223 \\ 180. Principle of Bolzano-Weierstrass / 225 \\ 181. Continuity / 225 \\ 182. Lebesgue measure / 226 \\ 183. Lebesgue integration / 228 \\ 184. A non-measurable set / 232 \\ 18. Representation of Functions by Infinite Series / 233 \\ 185. Series of variable terms / 233 \\ Uniform convergence / 234 \\ 186. Power series / 235 \\ 187. Taylor's series / 236 \\ 188. Expansions in series of orthogonal functions / 239 \\ 189. Fourier series / 242 \\ 190. Some applications to the solution of boundary value problems / 246 \\ 191. Legendre polynomials / 248 \\ 19. Advanced Algebra, Abstract Groups and Rings / 251 \\ 192. Introduction / 251 \\ 193. Permutations / 251 \\ 194. Axioms defining abstract groups / 254 \\ 195. Order of a group / 254 \\ 196. Some properties of abstract groups / 254 \\ 197. Abelian groups / 255 \\ 198. Homomorphisms / 255 \\ 199. Normal subgroups / 256 \\ 200. Residue classes / 256 \\ 201. Fields / 258 \\ 202. Rings / 261 \\ 20. Abstract Sets, Abstract Spaces and General Analysis / 265 \\ 203. Introduction / 265 \\ 204. Non-denumerable sets. Transfinite numbers / 266 \\ 205. Cardinal numbers / 267 \\ 206. Ordinal numbers / 268 \\ 207. From sets of numbers to sets of points / 268 \\ 208. Extension of the notion of space / 268 \\ 209. Functional analysis / 269 \\ 210. General analysis / 271 \\ 21. Integral Equations / 276 \\ 211. Introduction / 276 \\ 212. Volterra integral equations / 277 \\ 213. Fredholm integral equations / 280 \\ 22. An Introduction to the Calculus at variations / 284 \\ 214. Introduction / 284 \\ 215. Problems in the plane / 285 \\ 216. The first necessary condition for a minimum / 287 \\ 217. Derivation of the Euler equations / 291 \\ 218. Generalizations to n-dimensions / 293 \\ 219. Parametric problems / 295 \\ 220. Isoperimetric problems / 297 \\ 221. Variable end point problems / 300 \\ 222. Minima of functions of integrals / 302 \\ 23. Systems of Equations, Matrices and Determinants / / Olga Tausky and John Todd / 305 \\ 223. Introduction / 305 \\ 224. Definitions, products and sums, special matrices, similarity transformations / 306 \\ 225. Determinants / 309 \\ 226. Characteristic roots, canonical forms, commutative matrices, quadratic form / 310 \\ 227. Bounds for characteristic roots, fields of values, positive matrices / 314 \\ 228. Functions of matrices, commutative matrices, limits / 316 \\ 24. Applications of Systems of Equations, Matrices and Determinants / 319 \\ 229. Introduction / 319 \\ 230. Solution of systems of simultaneous equations / 320 \\ 231. Direct methods / 320 \\ 232. Indirect or iterative methods / 324 \\ 233. Inversion of matrices / 328 \\ 234. Characteristic roots of matrices / 330 \\ 235. Dominant characteristic values / 331 \\ 236. All characteristic roots / 334 \\ 237. Rounding-off errors / 335 \\ 25. Elements of a Theory of Probability / 338 \\ 238. Introduction / 338 \\ 239. The problem of the definition of probability / 340 \\ 240. The definition of mathematical probability for the discrete case / 344 \\ 241. Extension to more general sample spaces / 347 \\ 242. Further definitions; elementary theorem / 353 \\ 243. Random variables / 357 \\ 26. Multi-Dimensional Maximization and Dynamic Programming --- / 363 \\ 244. Introduction / 363 \\ 245. Allocation of resources / 366 \\ 246. Search techniques / 368 \\ 247. A packing problem / 368 \\ 248. A smoothing problem / 369 \\ 249. An eigenvalue problem / 369 \\ 250. The calculus of variation / 370 \\ 251. Allocation of two types of resources / 370 \\ 252. Linear programming / 371 \\ 253. The ``flooding'' technique / 371 \\ 27. The Theory of Games / 374 \\ 254. Introduction / 374 \\ 255. Matching coins / 375 \\ 256. Unsymmetric coin-matching / 378 \\ 257. Saddlepoints / 379 \\ 258. A general two-choice game / 379 \\ 259. The general finite game / 380 \\ 260. Computational algorithms / 381 \\ 261. Continuous games / 382 \\ 262. Non-zero sum games / 382 \\ 263. Different criteria / 383 \\ 264. $N$-person games --- $N \geq 3$ / 383 \\ 265. Poker / 384 \\ 266. Games of survival / 384 \\ Index / 387", }