%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "0.27", %%% date = "22 October 2019", %%% time = "06:05:00 MDT", %%% filename = "moore-ramon-e.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "46784 2180 9678 97339", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibNet Project; BibTeX; bibliography; interval %%% analysis; interval arithmetic; reliable %%% computing", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Ramon (Ray) E. Moore (27 December 1929--1 %%% April 2015). %%% %%% At version 0.27, the year coverage looked %%% like this: %%% %%% 1959 ( 2) 1976 ( 1) 1993 ( 2) %%% 1960 ( 2) 1977 ( 2) 1994 ( 1) %%% 1961 ( 0) 1978 ( 2) 1995 ( 1) %%% 1962 ( 2) 1979 ( 3) 1996 ( 0) %%% 1963 ( 2) 1980 ( 6) 1997 ( 0) %%% 1964 ( 1) 1981 ( 0) 1998 ( 0) %%% 1965 ( 8) 1982 ( 3) 1999 ( 1) %%% 1966 ( 1) 1983 ( 1) 2000 ( 0) %%% 1967 ( 2) 1984 ( 3) 2001 ( 1) %%% 1968 ( 2) 1985 ( 1) 2002 ( 1) %%% 1969 ( 4) 1986 ( 0) 2003 ( 1) %%% 1970 ( 2) 1987 ( 0) 2004 ( 0) %%% 1971 ( 1) 1988 ( 2) 2005 ( 2) %%% 1972 ( 1) 1989 ( 0) 2006 ( 1) %%% 1973 ( 0) 1990 ( 0) 2007 ( 1) %%% 1974 ( 0) 1991 ( 4) 2008 ( 0) %%% 1975 ( 1) 1992 ( 2) 2009 ( 1) %%% %%% Article: 28 %%% Book: 10 %%% InCollection: 6 %%% InProceedings: 6 %%% Misc: 1 %%% PhdThesis: 1 %%% Proceedings: 10 %%% TechReport: 12 %%% %%% Total entries: 74 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access at %%% %%% ftp://ftp.math.utah.edu/pub/bibnet/authors %%% http://www.math.utah.edu/pub/bibnet/authors %%% %%% It is mirrored to %%% %%% ftp://netlib.bell-labs.com/netlib/bibnet/authors %%% %%% The data in this bibliography were collected %%% from many sources, including the MathSciNet %%% database, the JSTOR database, the European %%% Mathematical Society database, the %%% bibliography archives of the BibNet Project, %%% the TeX User Group, and the University of %%% Karlsruhe Computer Science Department, as %%% well as %%% %%% http://interval.louisiana.edu/Moores_early_papers/bibliography.html %%% %%% 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" }

%%% ==================================================================== %%% Acknowledgement abbreviations:

@String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"}

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

@String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-APL-MAT= "Aplikace Matematiky"} @String{j-COMPUT-MATH-APPL= "Computers and Mathematics with Applications"} @String{j-COMPUTING= "Computing: Archiv f{\"u}r informatik und numerik"} @String{j-COMPUTING-SUPPLEMENTUM= "Computing. Supplementum"} @String{j-FUZZY-SETS-SYSTEMS= "Fuzzy Sets and Systems"} @String{j-IBM-SYS-J= "IBM Systems Journal"} @String{j-J-COMP-SYS-SCI= "Journal of Computer and System Sciences"} @String{j-RELIABLE-COMPUTING= "Reliable Computing = Nadezhnye vychisleniia"} @String{j-SCIENCE= "Science"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIGNUM= "ACM SIGNUM Newsletter"}

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

@String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-BIRKHAUSER= "Birkh{\"{a}}user"} @String{pub-BIRKHAUSER:adr= "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-ELLIS-HORWOOD= "Ellis Horwood"} @String{pub-ELLIS-HORWOOD:adr= "New York, NY, USA"} @String{pub-HRW= "Holt, Rinehart, and Winston"} @String{pub-HRW:adr= "New York, NY, USA"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-OLDENBOURG= "R. Oldenbourg"} @String{pub-OLDENBOURG:adr= "M{\"u}nchen, Germany"} @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-SIAM= "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SPRINGER-WIEN= "Spring{\-}er"} @String{pub-SPRINGER-WIEN:adr= "Wien / New York"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"}

%%% ==================================================================== %%% Bibliography entries, sorted by year, and within years, by citation %%% label:

@TechReport{Moore:1959:AEA, author = "R. E. Moore", title = "Automatic error analysis in digital computation", type = "Technical Report", number = "Space Div. Report LMSD84821", institution = "Lockheed Missiles and Space Co.", address = "Sunnyvale, CA, USA", year = "1959", bibdate = "Thu Jun 20 10:47:34 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_Lockheed.pdf", acknowledgement = ack-nhfb, } @TechReport{Moore:1959:IAI, author = "R. E. Moore and C. T. Yang", title = "Interval Analysis {I}", type = "Technical Document", number = "LMSD-285875", institution = "Lockheed Missiles and Space Division", address = "Sunnyvale, CA, USA", year = "1959", bibdate = "Thu Jun 20 10:57:59 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_Yang.pdf", acknowledgement = ack-jr, } @Article{Moore:1960:BRB, author = "Ramon E. Moore", title = "Book Review: {{\booktitle{On Numerical Approximation}} (Proceedings of a Symposium) (R. E. Langer, ed.)}", journal = j-SIAM-REVIEW, volume = "2", number = "1", pages = "49--50", month = "????", year = "1960", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1002015", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:04:29 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/2/1; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "January 1960", } @TechReport{Moore:1960:II, author = "R. E. Moore and W. Strother and C. T. Yang", title = "Interval Integrals", type = "Technical Memorandum: Mathematics", number = "LMSD-703073", institution = "Lockheed Missiles and Space Division", address = "Sunnyvale, CA, USA", year = "1960", bibdate = "Thu Jun 20 10:57:03 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_integrals.pdf", acknowledgement = ack-jr, } @Article{Moore:1962:BRD, author = "Ramon E. Moore", title = "Book Review: {{\booktitle{Discrete Variable Methods in Ordinary Differential Equations}} by Peter Henrici}", journal = j-SCIENCE, volume = "136", number = "3511", pages = "143--144", day = "13", month = apr, year = "1962", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.136.3511.143; https://doi.org/10.2307/1708446", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Mon Jan 28 10:32:38 2019", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://science.sciencemag.org/content/136/3511/143.2; http://www.jstor.org/stable/1708446", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", reviewed-author = "Peter Henrici", } @PhdThesis{Moore:1962:IAA, author = "R. E. Moore", title = "Interval Arithmetic and Automatic Error Analysis in Digital Computing", type = "{Ph.D.} dissertation", school = "Department of Mathematics, Stanford University", address = "Stanford, CA, USA", month = nov, year = "1962", bibdate = "Thu Jun 20 10:49:16 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Also published as Applied Mathematics and Statistics Laboratories Technical Report No. 25.", URL = "http://interval.louisiana.edu/Moores_early_papers/disert.pdf", acknowledgement = ack-nhfb, } @InProceedings{Boche:1963:OIA, author = "R. E. Boche", title = "An Operational Interval Arithmetic", crossref = "IEEE:1963:PNE", pages = "??--??", year = "1963", bibdate = "Thu Jun 20 10:43:29 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Boche_operational.pdf", acknowledgement = ack-jr, } @TechReport{Moore:1964:DIR, author = "R. E. Moore and J. A. Davison and H. R. Jaschke and S. Shayer", title = "{DIFEQ} integration routine --- user's manual", type = "Technical Report", number = "LMSC6-90-64-6", institution = "Lockheed Missiles and Space Co.", address = "Los Angeles, CA", year = "1964", bibdate = "Sat May 27 06:39:09 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_DIFEQ.pdf", acknowledgement = ack-nhfb, } @TechReport{Boche:1965:CIA, author = "R. E. Boche", title = "Complex interval arithmetic with some applications", type = "Technical Report", number = "LMSC4-22-66-1", institution = "Lockheed Missiles and Space Co.", address = "Sunnyvale, CA, USA", year = "1965", bibdate = "Thu Jun 20 10:43:56 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Boche_complex.pdf", acknowledgement = ack-nhfb, } @TechReport{Miller:1965:IAP, author = "M. E. Miller", title = "Interval arithmetic programs and references", type = "Memo", institution = "Lockheed Missiles and Space Div.", address = "Sunnyvale, CA, USA", year = "1965", bibdate = "Thu Jun 20 10:46:07 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Miller_programs.pdf", acknowledgement = ack-nhfb, } @InCollection{Moore:1965:AACa, author = "Ramon E. Moore", title = "The automatic analysis and control of error in digital computing based on the use of interval numbers", crossref = "Rall:1965:EDCa", chapter = "2", pages = "61--130", year = "1965", MRclass = "65.61 (65.80)", MRnumber = "MR0176614 (31 \#886)", MRreviewer = "T. E. Hull", bibdate = "Thu Jun 20 10:51:40 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_in_Rall_V1.pdf", acknowledgement = ack-nhfb, } @InCollection{Moore:1965:AACb, author = "Ramon E. Moore", title = "Automatic local coordinate transformations to reduce the growth of error bounds in interval computation of solutions of ordinary differential equations", crossref = "Rall:1965:EDCb", chapter = "2", pages = "103--140", year = "1965", MRclass = "65.80 (65.60)", MRnumber = "MR0185839 (32 \#3299)", MRreviewer = "T. E. Hull", bibdate = "Thu Jun 20 10:51:40 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_in_Rall_V2.pdf", acknowledgement = ack-nhfb, } @TechReport{Reiter:1965:IAP, author = "A. Reiter", title = "Interval Arithmetic Package: {MRC} Program 2", type = "Coop organ, Code-Wisc. Math. Res. Center", institution = "University of Wisconsin, Madison", year = "1965", bibdate = "Thu Jun 20 10:58:36 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Reiter_package.pdf", acknowledgement = ack-jr, } @TechReport{Shayer:1965:IAS, author = "S. Shayer", title = "Interval arithmetic with some applications for digital computers", type = "Technical Report", number = "LMSD5-13-65-12", institution = "Lockheed Missiles and Space Co.", address = "Sunnyvale, CA, USA", year = "1965", bibdate = "Thu Jun 20 10:59:04 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Shayer_applications.pdf", acknowledgement = ack-nhfb, } @Book{Moore:1966:IA, author = "Ramon E. Moore", title = "Interval analysis", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 145", year = "1966", LCCN = "QA297 .M63", MRclass = "65.10 (68.00)", MRnumber = "MR0231516 (37 \#7069)", bibdate = "Sat Feb 14 08:15:54 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @InProceedings{Reiter:1967:PIA, author = "A. Reiter", booktitle = "Proceedings of the 1967 Army Numerical Analysis Conference", title = "Programming Interval Arithmetic and Applications", publisher = "U. S. Army Research Office", address = "Durham, NC, USA", pages = "87--98", year = "1967", bibdate = "Thu Jun 20 10:58:57 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Army Research Office Rep. 67-3", URL = "http://interval.louisiana.edu/Moores_early_papers/Reiter_programming.pdf", acknowledgement = ack-jr, } @TechReport{Braun:1968:PSD, author = "J. A. Braun and R. E. Moore", title = "A Program for the Solution of Differential Equations Using Interval Arithmetic (Difeq) for the {CDC 3600} and the {CDC 1604}", type = "MRC Technical Summary", number = "901", institution = "University of Wisconsin, Madison", year = "1968", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/addendum/Braun1968aprogram.pdf", acknowledgement = ack-jr, } @Article{Moore:1968:PAI, author = "R. E. Moore", title = "Practical aspects of interval computation", journal = j-APL-MAT, volume = "13", number = "??", pages = "52--92", year = "1968", CODEN = "APMTAK", ISSN = "0373-6725", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0184.37401", acknowledgement = ack-nhfb, fjournal = "Aplikace Matematiky", keywords = "numerical analysis", } @InCollection{Moore:1969:FAC, author = "Ramon E. Moore", title = "Functional analysis for computers", crossref = "Unger:1969:TFM", pages = "113--126", year = "1969", MRclass = "46.90 (65.00)", MRnumber = "MR0248542 (40 \#1794)", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0209.46504", acknowledgement = ack-nhfb, classmath = "*65G30 Interval and finite arithmetic 65-02 Research monographs (numerical analysis)", } @Book{Moore:1969:IUD, author = "Ramon E. Moore", title = "Intervallanalyse", publisher = pub-OLDENBOURG, address = pub-OLDENBOURG:adr, bookpages = "188 + 7", year = "1969", MRclass = "65.80", MRnumber = "MR0260228 (41 \#4856)", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Translated to German by Dieter Pfaffenzeller", price = "DM 39.00", ZMnumber = "0273.65031", acknowledgement = ack-nhfb, classmath = "*65-02 Research monographs (numerical analysis) 65G50 Roundoff error", language = "German", } @Book{Rall:1969:CSN, author = "Louis B. Rall", title = "Computational solution of nonlinear operator equations", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "viii + 225", year = "1969", MRclass = "65.10 (46.00)", MRnumber = "MR0240944 (39 \#2289)", MRreviewer = "Jagdish Chandra", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", series = "With an appendix by Ramon E. Moore", } @Book{Daniel:1970:CTO, author = "James W. Daniel and Ramon E. Moore", title = "Computation and Theory in Ordinary Differential Equations", publisher = "W. H. Freeman", address = "San Francisco, CA, USA", pages = "xi + 172", year = "1970", ISBN = "0-7167-0440-4", ISBN-13 = "978-0-7167-0440-9", LCCN = "QA372 .D28", MRclass = "65.60", MRnumber = "MR0267765 (42 \#2667)", MRreviewer = "T. E. Hull", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Sec. 5.8 (pp. 86--89) and Sec. 6.6 (pp. 100--101)", acknowledgement = ack-jr, } @Article{Moore:1970:SLR, author = "Ramon E. Moore", title = "On the stability of linear recurrence equations with arbitrary time lags", journal = j-J-COMP-SYS-SCI, volume = "4", number = "4", pages = "377--383", month = aug, year = "1970", CODEN = "JCSSBM", DOI = "https://doi.org/10.1016/S0022-0000(70)80019-8", ISSN = "0022-0000 (print), 1090-2724 (electronic)", ISSN-L = "0022-0000", MRclass = "39.30", MRnumber = "MR0265803 (42 \#712)", MRreviewer = "A. Smajdor", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0198.13302", acknowledgement = ack-nhfb, fjournal = "Journal of Computer and System Sciences", journal-URL = "http://www.sciencedirect.com/science/journal/00220000", keywords = "ordinary differential equations", } @Article{Moore:1972:RCT, author = "Ramon E. Moore and James W. Daniel and W. E. Boyce", title = "Reviews: {Computation and Theory in Ordinary Differential Equations}", journal = j-AMER-MATH-MONTHLY, volume = "79", number = "4", pages = "407--408", year = "1972", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "Contributed Item", MRnumber = "MR1536701", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", fjournal = "The American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Book{Moore:1975:MES, author = "Ramon E. Moore", title = "Mathematical elements of scientific computing", publisher = pub-HRW, address = pub-HRW:adr, pages = "x + 237", year = "1975", ISBN = "0-03-088125-0", ISBN-13 = "978-0-03-088125-1", LCCN = "QA 297 .M64 1975", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0376.65001", acknowledgement = ack-nhfb, classmath = "65-01 Textbooks (numerical analysis); 65Fxx Numerical linear algebra; 65Dxx Numerical approximation; 65Lxx Numerical methods for ODE; 65Hxx Nonlinear algebraic or transcendental equations", keywords = "interval arithmetic", } @Article{Moore:1976:CRR, author = "R. E. Moore", title = "On Computing the Range of a Rational Function of $n$ Variables over a Bounded Region", journal = j-COMPUTING, volume = "16", number = "1--2", pages = "1--15", year = "1976", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Tue Jan 2 17:40:52 MST 2001", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; INSPEC Axiom database (1968--date)", URL = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X", ZMnumber = "0345.65024", acknowledgement = ack-nhfb, affiliation = "Univ. of Wisconsin, Madison, WI, USA", classification = "723; 921; B0290D; C4120; C7310", classmath = "*65H10 Systems of nonlinear equations (numerical methods) 65G50 Roundoff error", description = "function evaluation", fjournal = "Computing: Archiv f{\"u}r informatik und numerik", journal-URL = "http://link.springer.com/journal/607", journalabr = "Comput (Vienna/NY)", keywords = "bounded region; computational mathematics; computer programming --- Subroutines; digital computing; internal analysis; mathematical programming; mathematical techniques; ranges of values; rational function", } @Article{Moore:1977:SSR, author = "R. E. Moore and S. T. Jones", title = "Safe starting regions for iterative methods", journal = j-SIAM-J-NUMER-ANAL, volume = "14", number = "6", pages = "1051--1065", year = "1977", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; JSTOR database", ZMnumber = "0371.65009", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Moore:1977:TES, author = "R. E. Moore", title = "A test for existence of solutions to nonlinear systems", journal = j-SIAM-J-NUMER-ANAL, volume = "14", number = "??", pages = "611--615", year = "1977", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0365.65034", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods) 65G50 Roundoff error", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Moore:1978:BSF, author = "R. E. Moore", title = "Bounding Sets in Function Spaces with Applications to Nonlinear Operator Equations", journal = j-SIAM-REVIEW, volume = "20", number = "3", pages = "492--512", month = "????", year = "1978", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1020068", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:52:53 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/20/3; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0392.65020", acknowledgement = ack-nhfb, classmath = "*65J15 Equations with nonlinear operators (numerical methods) 65G30 Interval and finite arithmetic 65L05 Initial value problems for ODE (numerical methods) 65L10 Boundary value problems for ODE (numerical methods)", fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", keywords = "Bounding Sets; Interval Method; Newton - Kantorovich Method; Nonlinear Operator Equations", onlinedate = "July 1978", } @Article{Moore:1978:CTC, author = "R. E. Moore", title = "A computational test for convergence of iterative methods for nonlinear systems", journal = j-SIAM-J-NUMER-ANAL, volume = "15", number = "6", pages = "1194--1196", month = dec, year = "1978", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0395.65020", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods)", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "Computational Test; Convergence of Iterative Methods; Newton-Type Sequence; Solution to a Nonlinear System of Equations", } @TechReport{Moore79, author = "R. E. Moore", title = "Handling complex queries in a distributed database", type = "Technical Note, Artificial Intelligence", number = "170", institution = "SRI International", address = "Menlo Park, CA, USA", pages = "????", year = "1979", bibdate = "Sat May 27 08:22:28 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @TechReport{Moore:1979:AEC, author = "R. E. Moore and others", title = "{AIRDOS-EPA}: {A} Computerized Methodology for Estimating Environmental Concentrations and Dose to Man from Airborne Releases of Radionuclides", type = "Technical Report", number = "ORNL-5532", institution = "Oak Ridge National Laboratory", address = "Oak Ridge, Tenn.", year = "1979", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", referred = "[Horw91a].", xxnote = "Is this Ramon E. Moore?", } @Book{Moore:1979:MAI, author = "Ramon E. Moore", title = "Methods and Applications of Interval Analysis", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xi + 190", year = "1979", ISBN = "0-89871-161-4", ISBN-13 = "978-0-89871-161-5", LCCN = "QA297.75 .M66", MRclass = "65G10 (65-02)", MRnumber = "MR551212 (81b:65040)", MRreviewer = "H. Ratschek", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0417.65022", abstract = "Chapter 3 of this book discusses differentiation arithmetic as a recursive iteration. That is, for calculating Taylor coefficients.", classmath = "*65G30 Interval and finite arithmetic 65-02 Research monographs (numerical analysis) 65C05 Monte Carlo methods 65Kxx Numerical methods in mathematical programming and optimization 65L05 Initial value problems for ODE (numerical methods) 65L10 Boundary value problems for ODE (numerical methods) 65J10 Equations with linear operators (numerical methods)", keywords = "bibliography; boundary value problems; differential equations; differential inequalities; error-bound estimates; existence and convergence of iterative solutions; Gaussian elimination; interval analysis; interval extension of a real function; interval Newton method; interval searching procedures; iterative methods; linear and nonlinear algebraic systems; linear and nonlinear programming; metric topology for intervals; operator equations; rounded interval analysis; starting and stopping criteria; Taylor series; wrapping effect", referred = "[Corl87a]; [Corl91a]; [Garl85a] \#980; [Aber88a]; [Corl88a]; [Layn91a]; [Neid89a]; [Rall80a]; [Rall81a]; [Rall85a]; [Rall91a].", } @InProceedings{Moore:1980:IMN, author = "R. E. Moore", title = "Interval Methods for Nonlinear Systems", crossref = "Alefeld:1980:FNC", volume = "2", pages = "113--120", year = "1980", bibdate = "Fri Oct 15 21:05:35 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", series = j-COMPUTING-SUPPLEMENTUM, ZMnumber = "0437.65055", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods) 65G30 Interval and finite arithmetic 65F10 Iterative methods for linear systems", keywords = "bisection procedures; computational tests; convergence of an iteration process; existence of a solution in the region; existence of solutions; interval arithmetic; nonexistence of a solution in the region; numerical example", } @Article{Moore:1980:MIA, author = "R. E. Moore", title = "Microprogrammed interval arithmetic", journal = j-SIGNUM, volume = "15", number = "2", pages = "30--30", month = jun, year = "1980", CODEN = "SNEWD6", ISSN = "0163-5778 (print), 1558-0237 (electronic)", ISSN-L = "0163-5778", bibdate = "Tue Apr 12 07:50:08 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, fjournal = "ACM SIGNUM Newsletter", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690", } @InCollection{Moore:1980:NRN, author = "Ramon E. Moore", title = "New results on nonlinear systems", crossref = "Nickel:1980:IMP", pages = "165--180", year = "1980", MRclass = "65G10 (65H10)", MRnumber = "MR651363 (83c:65105)", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0539.65034", abstract = "{[For the entire collection see Zbl 0527.00029.] Verf. berichtet {\"u}ber einige neue Ergebnisse zur L{\"o}sung nichtlinearer Gleichungssysteme mit Hilfe von Intervalloperatoren. Er erw{\"a}hnt Existenz- und Nichtexistenztests, ein Konvergenzkriterium, welches von Rall mit dem Kantorovich Theorem verglichen wurde, sowie Suchalgorithmen zur Bestimmung eines Anfangsintervalls, in welchem eine L{\"o}sung liegt. Er gibt auch ein Beispiel an, f{\"u}r welches sich der Rechenaufwand aufgrund der speziellen Struktur des Gleichungssystems reduzieren l{\"a}{\ss}t.}", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods) 65G30 Interval and finite arithmetic", keywords = "convergence criterion; interval arithmetic; search algorithm", reviewer = "R.Krawczyk", } @Article{Moore:1980:STA, author = "R. E. Moore and J. B. Kioustelidis", title = "A simple test for accuracy of approximate solutions to nonlinear (or linear) systems", journal = j-SIAM-J-NUMER-ANAL, volume = "17", number = "4", pages = "521--529", month = aug, year = "1980", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65G10 (65H10)", MRnumber = "83e:65085", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; JSTOR database", ZMnumber = "0457.65031", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods) 65F05 Direct methods for linear systems 65G30 Interval and finite arithmetic", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "intermediate theorem; interval analysis; test for accuracy", } @Article{Asaithambi:1982:CRV, author = "N. S. Asaithambi and Shen Zuhe and R. E. Moore", title = "On Computing the Range of Values", journal = j-COMPUTING, volume = "28", number = "3", pages = "225--237", year = "1982", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65G10", MRnumber = "83d:65136", bibdate = "Tue Oct 12 16:33:42 MDT 1999", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; MathSciNet database", URL = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X", acknowledgement = ack-nhfb, affiliation = "Univ of Wis, Madison, USA", classification = "723", fjournal = "Computing: Archiv f{\"u}r informatik und numerik", journal-URL = "http://link.springer.com/journal/607", journalabr = "Computing (Vienna/New York)", keywords = "computer programming", } @Article{Moore:1982:GMU, author = "R. E. Moore", title = "A generalization of the method of upper and lower solutions for integral equations", journal = "Nonlinear Anal., Theory Methods Appl.", volume = "6", number = "??", pages = "829--831", year = "1982", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0495.65055", acknowledgement = ack-nhfb, classmath = "*65R20 Integral equations (numerical methods) 65G30 Interval and finite arithmetic 65R20 Integral equations (numerical methods) 45G10 Nonsingular nonlinear integral equations", keywords = "integral inequalities; interval arithmetic; interval integration; interval-valued function; upper and lower solutions; Urysohn integral equations", } @Article{Moore:1982:SIT, author = "R. E. Moore and L. Qi", title = "A Successive Interval Test for Nonlinear Systems", journal = j-SIAM-J-NUMER-ANAL, volume = "19", number = "4", pages = "845--850", month = aug, year = "1982", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65H10 (65J15)", MRnumber = "83f:65080", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; JSTOR database", ZMnumber = "0497.65027", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", keywords = "interval-analysis; interval-operator; Krawczyk-operator", } @Article{Moore:1983:IVC, author = "R. E. Moore and Zuhe Shen", title = "An interval version of Chebyshev's method for nonlinear operator equations", journal = "Nonlinear Anal., Theory Methods Appl.", volume = "7", number = "??", pages = "21--34", year = "1983", bibdate = "Sat May 27 07:35:27 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0505.65015", acknowledgement = ack-nhfb, classmath = "*65J15 Equations with nonlinear operators (numerical methods) 65G30 Interval and finite arithmetic 65L05 Initial value problems for ODE (numerical methods) 65L10 Boundary value problems for ODE (numerical methods) 65N22 Solution of discretized equations (BVP of PDE)", keywords = "Banach function space; Chebyshev's method; convergence; existence; interval arithmetic; interval version of Newton's method; Kantorovich theorem; uniqueness", } @TechReport{Moore:1984:RAM, author = "Ramon E. Moore", title = "Risk analysis without {Monte Carlo} methods", type = "{Freiburger Intervall-Berichte}", number = "84/1", institution = "Universit{\"a}t Freiburg", address = "Freiburg, Germany", pages = "48", year = "1984", bibdate = "Tue Dec 31 13:58:10 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @InProceedings{Moore:1984:SIM, author = "Ramon E. Moore", title = "A Survey of Interval Methods for Differential Equations", crossref = "IEEE:1984:PIC", pages = "1529--1535", year = "1984", bibdate = "Sat May 27 08:15:24 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @Book{Moore:1985:CFA, author = "Ramon E. Moore", title = "Computational functional analysis", publisher = pub-ELLIS-HORWOOD, address = pub-ELLIS-HORWOOD:adr, pages = "156", year = "1985", ISBN = "0-85312-807-3", ISBN-13 = "978-0-85312-807-6", MRclass = "47-01 (46-01 47A50 47H17 58Cxx 65-01 65Jxx 90Cxx)", MRnumber = "MR783431 (87a:47001)", MRreviewer = "Heinz W. Engl", bibdate = "Sat May 27 07:54:15 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", series = "Mathematics and its Applications", ZMnumber = "0574.46001", abstract = "The aim of the book is to apply concepts and techniques of functional analysis to approximate solutions of operator equations (algebraic, linear, non-linear, differential, integral and others).\par Chapters 1 to 12 contain introductory topics from functional analysis: linear spaces, topological and metric spaces, Banach and Hilbert spaces, linear functionals and operators, types of convergence, reproducing kernel Hilbert spaces, compact operators. The rest of the book is devoted to approximate methods of solving operator equations: Newton's type methods, Galerkin's method, interval methods, homotopy and continuation methods.\par The book is clearly written, contains many worked numerical examples and can be used as an excellent text-book for one --- or two --- semester courses at the first year graduate level", acknowledgement = ack-nhfb, classmath = "*46-01 Textbooks (functional analysis) 65-01 Textbooks (numerical analysis) 65J05 General theory of numerical methods in abstract spaces 47A50 Equations and inequalities involving linear operators 46B03 Isomorphic theory (including renorming) of Banach spaces", keywords = "approximate solutions of operator equations; Banach and Hilbert spaces; compact operators; Galerkin's method; homotopy and continuation methods; interval methods; linear functionals and operators; Newton's type methods; reproducing kernel Hilbert spaces; topological and metric spaces; types of convergence", reviewer = "S.Cobzas", } @Article{Moore:1988:USA, author = "R. E. Moore", title = "Utilizing the {SNA} alert in the management of multivendor networks", journal = j-IBM-SYS-J, volume = "27", number = "1", pages = "15--31", month = jan, year = "1988", CODEN = "IBMSA7", ISSN = "0018-8670", bibdate = "Tue Mar 19 17:38:46 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, fjournal = "IBM Systems Journal", keywords = "design; management", subject = "C.2.1 Computer Systems Organization, COMPUTER-COMMUNICATION NETWORKS, Network Architecture and Design, SNA \\ C.2.3 Computer Systems Organization, COMPUTER-COMMUNICATION NETWORKS, Network Operations, Network management", xxnote = "Is this Ramon E. Moore?", } @Article{Moore:1991:GOP, author = "Ramon E. Moore", title = "Global optimization to prescribed accuracy", journal = j-COMPUT-MATH-APPL, volume = "21", number = "6--7", pages = "25--39", year = "1991", CODEN = "CMAPDK", DOI = "https://doi.org/10.1016/0898-1221(91)90158-Z", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "90C30 (65K10)", MRnumber = "MR1096131 (91m:90159)", bibdate = "Sat May 27 07:54:15 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0725.65062", abstract = "The author presents his view on the role of interval arithmetic and on the use of multiple precision in the field of global optimization. After an introductory section on order relations and on interval arithmetic, round-off errors are discussed in connection with fixed-precision floating-point arithmetic. Results obtained in this arithmetic are compared with those using interval tools combined with an outward rounding. The role of computing the ranges of functions and of computing with sets is emphasized.\par A central section addresses the problem of formulating an appropriate stopping criterion. It is illustrated by examples using the interval Newton method. Remarks on user-controlled arbitrary precision interval arithmetic are added where this precision can be varied during the computation, if necessary. The paper ends with some essentials of interval methods for global optimization and with some directions for future research", acknowledgement = ack-nhfb, classmath = "*65K05 Mathematical programming (numerical methods) 65G30 Interval and finite arithmetic 65H10 Systems of nonlinear equations (numerical methods) 90C30 Nonlinear programming", fjournal = "Computers \& Mathematics with Applications. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "floating-point arithmetic; global optimization; interval arithmetic; interval Newton method; multiple precision; round-off errors; stopping criterion", reviewer = "G.Mayer (Karlsruhe)", } @InCollection{Moore:1991:ITC, author = "Ramon E. Moore", title = "Interval tools for computer aided proofs in analysis", crossref = "Meyer:1991:CAP", volume = "28", number = "??", pages = "211--216", year = "1991", MRclass = "68T15 (65G10)", MRnumber = "MR1101373 (92a:68132)", bibdate = "Sat May 27 07:54:15 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", series = "IMA Vol. Math. Appl.", ZMnumber = "0753.65036", abstract = "[For the entire collection see Zbl 0741.00031.] Author's summary: A brief survey of theory and software implementations of interval and related techniques for computing with machine representable sets is presented with applications to computer aided proofs in analysis. Recent work on variable precision software is discussed", acknowledgement = ack-nhfb, classmath = "*65G30 Interval and finite arithmetic", keywords = "computer aided proof; interval arithmetic; survey; variable precision software", reviewer = "R.Anguelov (Bulawayo)", } @InCollection{Moore:1991:TMC, author = "Ramon E. Moore", title = "Interval tools for computer aided proofs in analysis", crossref = "Meyer:1991:CAP", pages = "??--??", year = "1991", bibdate = "Sat May 27 07:41:52 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @InProceedings{Moore:1992:RMG, author = "Ramon Moore and Eldon Hansen and Anthony Leclerc", title = "Rigorous methods for global optimization", crossref = "Floudas:1992:RAG", pages = "321--342", year = "1992", bibdate = "Fri Sep 19 15:31:23 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @Article{Moore:1993:EGO, author = "Ramon E. Moore", title = "Erratum to: {``Global optimization to prescribed accuracy'' [Comput.\ Math.\ Appl.\ \bf 21 (1991), no.\ 6-7, 25--39; MR1096131 (91m:90159)]}", journal = j-COMPUT-MATH-APPL, volume = "25", number = "10--11", pages = "187", year = "1993", CODEN = "CMAPDK", DOI = "https://doi.org/10.1016/0898-1221(93)90292-4", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", MRclass = "90C30 (65K10)", MRnumber = "MR1213541 (94b:90074)", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", fjournal = "Computers \& Mathematics with Applications. An International Journal", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Moore:1993:RCM, author = "R. E. Moore", title = "The resolution of close minima", journal = j-COMPUT-MATH-APPL, volume = "25", number = "10--11", pages = "57--58", month = may # "\slash " # jun, year = "1993", CODEN = "CMAPDK", DOI = "https://doi.org/10.1016/0898-1221(93)90281-Y", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Thu Dec 29 07:35:16 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://www.sciencedirect.com/science/article/pii/089812219390281Y", abstract = "Interval methods enable us to isolate nearby roots of a function with a resolution that depends only on the number of digits carried. A one-dimensional example illustrates the point. Similar methods are available for higher dimensional examples. The methods can be applied to minimization problems.", acknowledgement = ack-nhfb, fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", } @Article{Moore:1994:NSD, author = "R. E. Moore", title = "Numerical solution of differential equations to prescribed accuracy", journal = j-COMPUT-MATH-APPL, volume = "28", number = "10--12", pages = "253--261", month = nov # "\slash " # dec, year = "1994", CODEN = "CMAPDK", DOI = "https://doi.org/10.1016/0898-1221(94)00195-2", ISSN = "0898-1221 (print), 1873-7668 (electronic)", ISSN-L = "0898-1221", bibdate = "Thu Dec 14 17:23:52 MST 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", abstract = "The basic ideas for numerical solution to differential equations to prescribed accuracy is this: using set methods (based on interval arithmetic) we can compute rigorous upper and lower bounds to exact solutions. If these bounds are not satisfactorily close together, then we can do more computing until they are, carrying more digits, or doing whatever the computer needs to do to get the prescribed accuracy. A review of recent results and a history of the invention of new types of numbers for new types of problems are presented.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. and Inf. Sci., Ohio State Univ., Columbus, OH, USA", classification = "B0290P (Differential equations); C1160 (Combinatorial mathematics); C4170 (Differential equations); C7310 (Mathematics computing)", fjournal = "Computers and Mathematics with Applications", journal-URL = "http://www.sciencedirect.com/science/journal/08981221", keywords = "Accuracy; Computing; Differential equations; Digits; History; Interval arithmetic; Lower bounds; Numerical solution; Upper bounds", pubcountry = "UK", thesaurus = "Differential equations; Digital arithmetic; History; Mathematics computing; Number theory; Numerical analysis", xxauthor = "N. E. Moore", } @Article{Bird:1995:AAA, author = "B. R. Bird and C. Brotman and R. Case and G. Dudley and R. E. Moore and M. Peters", title = "Advances in {APPN} architecture", journal = j-IBM-SYS-J, volume = "34", number = "3", pages = "430--451", year = "1995", CODEN = "IBMSA7", ISSN = "0018-8670", bibdate = "Tue Mar 19 17:38:46 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", URL = "http://www.research.ibm.com/journal/sj34-3.html#seven", abstract = "In this paper, we discuss the evolving environment and requirements for the Advanced Peer-to-Peer Networking* (APPN*) architecture and the accommodation of these changes in basic directory, topology, and configuration services, as well as in application transport capabilities. We use high-performance routing, a recent APPN extension, as an example of the adaptation of the architecture to emerging high-speed communication facilities and the increasing trend to multiprotocol networks. Finally, we discuss some extensions to switched support and network management in APPN and speculate on possible future considerations.", acknowledgement = ack-nhfb, affiliation = "IBM Networking Hardware Div., Research Triangle Park, NC, USA", classification = "B6210L (Computer communications); C5620 (Computer networks and techniques); C5670 (Network performance)", fjournal = "IBM Systems Journal", keywords = "Advanced Peer-to-Peer Networking architecture; Application transport; APPN architecture; High speed communication; High-performance routing; IBM; Multiprotocol networks; Network configuration services; Network directory; Network management; Network topology; Switched support", pubcountry = "USA", thesaurus = "Computer networks; IBM computers; Performance evaluation; Protocols; Telecommunication network routing", xxnote = "Is this Ramon E. Moore?", } @Article{Moore:1999:D, author = "R. E. Moore", title = "The dawning", journal = j-RELIABLE-COMPUTING, volume = "5", pages = "423--424", year = "1999", CODEN = "RCOMF8", ISSN = "1385-3139 (print), 1573-1340 (electronic)", ISSN-L = "1385-3139", bibdate = "Thu Jun 20 10:54:26 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, fjournal = "Reliable Computing = Nadezhnye vychisleniia", journal-URL = "http://link.springer.com/journal/11155", } @Misc{Hansen:2001:EWR, author = "Eldon Hansen and Bill Walster and Ray Moore and others", title = "Early works of {Ray Moore}", howpublished = "World-Wide Web document", month = sep, year = "2001", bibdate = "Sat Sep 29 09:06:35 2001", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "From an announcement by R. Baker Kearfott {\tt <rbk\penalty0@\penalty0louisiana.edu>} to the {\tt reliable\_computing\penalty0@\penalty0interval.louisiana.edu} list on Fri, 28 Sep 2001 19:56:51 -0500: ``Bill Walster has collected the early works of Ray Moore and his colleagues, has scanned them into electronic form, and has obtained permission from the publishers to post them. (Sun has sponsored this endeavor, including paying copyright fees.) Eldon Hansen has written a short introduction, that I have converted to HTML. This HTML file contains links to the actual papers (in PDF format), that you can access and read.''", URL = "http://interval.louisiana.edu/Moores_early_papers/bibliography.html", acknowledgement = ack-nhfb, } @Article{Moore:2002:SSF, author = "Ramon E. Moore", title = "Sparse systems in fixed point form", journal = j-RELIABLE-COMPUTING, volume = "8", number = "4", pages = "249--265", year = "2002", CODEN = "RCOMF8", DOI = "https://doi.org/10.1023/A:1016390830247", ISSN = "1385-3139 (print), 1573-1340 (electronic)", ISSN-L = "1385-3139", MRclass = "65H10 (65G40)", MRnumber = "MR1914593 (2003e:65089)", MRreviewer = "M. A. Wolfe", bibdate = "Sat May 27 07:54:15 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "0999.65040", abstract = "(1) A method is shown for reducing dimension of sparse systems of equations given in fixed point form. Economic models provide examples.\par (2) A given box to be searched for solutions can be reduced using interval intersections.\par (3) Interval Newton-like methods using either derivatives or slopes can be applied to the reduced system", acknowledgement = ack-nhfb, classmath = "*65H10 Systems of nonlinear equations (numerical methods) 65G30 Interval and finite arithmetic", fjournal = "Reliable Computing. An International Journal Devoted to Reliable Mathematical Computations Based on Finite Representations and Guaranteed Accuracy", journal-URL = "http://link.springer.com/journal/11155", keywords = "dimension reduction; fixed point; interval Newton-like methods; sparse systems", } @Article{Moore:2003:IAF, author = "Ramon Moore and Weldon Lodwick", title = "Interval analysis and fuzzy set theory", journal = j-FUZZY-SETS-SYSTEMS, volume = "135", number = "1", pages = "5--9", year = "2003", CODEN = "FSSYD8", DOI = "https://doi.org/10.1016/S0165-0114(02)00246-4", ISSN = "0165-0114 (print), 1872-6801 (electronic)", ISSN-L = "0165-0114", MRclass = "65G40 (03E72)", MRnumber = "1977533", bibdate = "Sat May 27 07:54:15 MDT 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "1015.03513", abstract = "An overview of interval analysis, its development, and its relationship to fuzzy set theory is given. Possible areas of further fruitful research are highlighted", acknowledgement = ack-nhfb, classmath = "*03E72 Fuzzy sets (logic) 65G40 General methods in interval analysis", fjournal = "Fuzzy Sets and Systems. An International Journal in Information Science and Engineering", journal-URL = "http://www.sciencedirect.com/science/journal/01650114", keywords = "fuzzy interval analysis; fuzzy set theory; interval analysis; validation methods", } @InProceedings{Moore:2005:ORR, author = "Ramon E. Moore", title = "Order Relations and Rigor in Computing", crossref = "Haddad:2005:ACP", pages = "1431--1433", year = "2005", DOI = "https://doi.org/10.1145/1066677.1067003", bibdate = "Tue Oct 23 11:22:46 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Keynote address.", abstract = "Rigor in computing depends in many ways on the integrity of order relations. Commonly used hardware floating-point arithmetic can destroy that integrity. An available remedy is discussed with examples.", acknowledgement = ack-nhfb, keywords = "interval arithmetic", } @Article{Moore:2006:IRR, author = "Ramon E. Moore", title = "Introductory remarks on reliable engineering computing", journal = j-RELIABLE-COMPUTING, volume = "12", number = "6", pages = "405--408", year = "2006", CODEN = "RCOMF8", DOI = "https://doi.org/10.1007/s11155-006-9011-8", ISSN = "1385-3139 (print), 1573-1340 (electronic)", ISSN-L = "1385-3139", MRclass = "65G30", MRnumber = "2278780", bibdate = "Tue Aug 24 19:17:39 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, fjournal = "Reliable Computing. An International Journal Devoted to Reliable Mathematical Computations Based on Finite Representations and Guaranteed Accuracy", journal-URL = "http://link.springer.com/journal/11155", } @Book{Moore:2007:CFA, author = "Ramon E. Moore and Michael J. Cloud", title = "Computational Functional Analysis", publisher = pub-ELLIS-HORWOOD, address = pub-ELLIS-HORWOOD:adr, edition = "Second", pages = "xii + 180", year = "2007", ISBN = "1-904275-24-9", ISBN-13 = "978-1-904275-24-4", LCCN = "????", bibdate = "Wed Dec 27 14:41:26 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", price = "US\$60", URL = "http://www.horwoodpublishing.net/bookpage.php?id=110", acknowledgement = ack-nhfb, remark = "See also first edition \cite{Moore:1985:CFA}.", } @Book{Moore:2009:IIA, author = "Ramon E. Moore and R. Baker Kearfott and Michael J. Cloud", title = "Introduction to interval analysis", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xii + 223", year = "2009", ISBN = "0-89871-669-1", ISBN-13 = "978-0-89871-669-6", MRclass = "65G40", MRnumber = "2482682 (2010d:65106)", MRreviewer = "G. Alefeld", bibdate = "Mon Aug 23 19:25:57 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kearfott-r-baker.bib; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", ZMnumber = "1168.65002", abstract = "The use of interval analysis has steadily increased over the past 40 years. This development was taken into account when writing the present book. It presents the basics in real interval arithmetic and covers elementary methods for verifying and enclosing zeros of functions, global minimizers, solutions of integral and differential equations. It deals with integration of interval functions and shows how interval methods can be applied in various fields of science. Moreover, an introduction into the interval toolbox INTLAB of MATLAB is given in order to understand the many programs which realize the algorithms of the book. Numerous examples illustrate the theory and are spread over more than 220 pages.\par The book starts with a short introduction on the necessity of enclosures and on bounding roundoff errors. The interval number system is presented in Chapter 2 including set theoretic operations as well as order relations and operations for intervals, interval vectors, and interval matrices. Some historical references are added. Chapter 3 discusses the problem of computing with inexact initial data and therefore results in first applications of interval arithmetic. It considers outwardly rounded interval arithmetic and gives a first glance to INTLAB. Chapter 4 is devoted to algebraic properties of interval arithmetic, to symmetric intervals and to inclusion isotonicity. Interval functions are introduced in Chapter 5 including elementary interval functions and interval-valued extensions of real functions together with fundamental properties.\par The topological side of intervals and of interval arithmetic is considered in Chapter 6. Equipped with the Hausdorff metric the set of intervals turns out to be a complete metric space for which convergence and continuity can be defined in the usual way. Nested interval sequences, finite convergence, refinement of interval extensions, and various centered forms are additional topics of this chapter which is concluded by the Skelboe--Moore algorithm. This algorithm is a prototype of a branch-and-bound algorithm applied in global optimization. Interval matrices form the subject of the succeeding Chapter 7, where linear systems with inexact input data are also discussed. In this connection the Krawczyk method is mentioned as well as the interval Gauss--Seidel method and Gaussian elimination.\par Nonlinear equations are studied in Chapter 8. Here the interval Newton method is commented, and cases are presented which imply the necessity of an extended interval arithmetic. For systems of nonlinear equations the Krawczyk method and multivariate interval Newton methods are applied and safe starting intervals are defined. Chapter 9 is devoted to the integration of interval functions, particularly of interval polynomials since for sufficiently smooth functions $f$ a Taylor expansion is used to construct an enclosure for $f$. Therefore, automatic differentiation and automatic generation of Taylor coefficients are also handled in order to find enclosures for definite integrals -- also multiple ones -- over $f$. A short chapter lists some ideas for verifying and enclosing solutions of integral equations, initial value problems, and boundary value problems. Some literature for partial differential equations is added. The final Chapter 11 gives a first impression of how the tool `interval analysis' is applied in practice. Problems are listed which use computer-assisted proofs based on interval arithmetic. A prototypical algorithm is discussed for global optimization. Numerous examples from engineering are mentioned.\par An appendix covers a variety of topics: Sets and functions, a formulary for intervals, hints for selected exercises, Internet resources, and INTLAB commands and functions. More than 250 references conclude a wonderful book which is written for all who are interested in scientific computation, in its reliability, and in automatic verification of results.", acknowledgement = ack-nhfb, keywords = "automatic differentiation; automatic verification of results; boundary value problems; branch-and-bound algorithm; computer-assisted proofs; convergence; initial value problems; integral equations; interval analysis; interval arithmetic; interval functions; interval matrices; interval Newton method; interval sequences; INTLAB; Krawczyk method; numerical examples; roundoff errors; scientific computation; Skelboe--Moore algorithm", }

%%% ==================================================================== %%% Part 2 (of 2): Publications about Ramon Moore and/or his works

@Article{Hansen:1967:BRB, author = "Eldon Hansen", title = "Book Review: {{\booktitle{Interval Analysis}} (Ramon E. Moore)}", journal = j-SIAM-REVIEW, volume = "9", number = "3", pages = "610--612", month = "????", year = "1967", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1009099", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:05:48 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/9/3; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1967", } @Article{Hull:1971:BRB, author = "T. E. Hull", title = "Book Review: {{\booktitle{Computation and Theory in Ordinary Differential Equations}} (James W. Daniel and Ramon E. Moore)}", journal = j-SIAM-REVIEW, volume = "13", number = "3", pages = "413--414", month = "????", year = "1971", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1013086", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 27 09:06:30 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/13/3; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1971", }

%%% ==================================================================== %%% These entries must come last because they are cross-referenced %%% by others above.

@Proceedings{IEEE:1963:PNE, editor = "{IEEE}", key = "IEEE NEC'63", booktitle = "{Proceedings of the National Electronics Conference (McCormick Place, Chicago, Illinois October 28--30, 1963)}", title = "{Proceedings of the National Electronics Conference (McCormick Place, Chicago, Illinois October 28--30, 1963)}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xxvii + 797 + vii", year = "1963", bibdate = "Fri Jan 12 16:47:30 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, keywords = "Electronics -- Congresses.", } @Proceedings{Rall:1965:EDCa, editor = "L. B. Rall", booktitle = "Error in Digital Computation", title = "Error in Digital Computation", volume = "1", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "338", year = "1965", MRclass = "65.80", MRnumber = "MR0189284 (32 \#6711)", MRreviewer = "J. M. Ortega", bibdate = "Tue Aug 15 18:20:34 MDT 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, October 5--7, 1964.", tableofcontents = "1. The problem of error in digital computation / Todd \\ 2. Techniques for automatic error monitoring and control / Ashenhurst \\ 3. The automatic analysis and control of error in digital computing based on the use of interval numbers / Moore \\ 4. Error in digital solution of linear problems / Albasiny \\ 5. The propagation of error in the digital integration of ordinary differential equations / Henrici \\ 6. Bibliography on error in digital computation (114 pp.)", } @Proceedings{Rall:1965:EDCb, editor = "L. B. Rall", booktitle = "Error in Digital Computation", title = "Error in Digital Computation", volume = "2", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "288", year = "1965", MRclass = "65.80", MRnumber = "MR0189284 (32 \#6711)", MRreviewer = "J. M. Ortega", bibdate = "Tue Aug 15 18:20:34 MDT 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Proceedings of an advanced seminar conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, October 5--7, 1964.", tableofcontents = "1. Experimental investigation of unnormalize1 arithmetic / Ashenhurst \\ 2. Error bounds for computations with continued fractions / Henrici \\ 3. Error bounds for asymptotic expansions of special functions in the complex plane / Olver \\ 4. Error analysis for transformations based on the use of matrices of the form $I -2 w w^H$. / Wilkinson \\ 5. Automatic local coordinate transformations to reduce the growth of error bounds in interval computation of solutions of ordinary differential equations / Moore \\ 6. Differential inequalities and error bounds / Schroder \\ 7. Discrete representations of partial differential operators / Young and Dauwalder \\ 8. Upper and lower bounds for solutions of integral equations / Brown \\ 9. Convergence ana error bounds for approximate solutions of integral and operator equations / Anselone \\ 10. Applications of functional analysis to error estimation / Collatz \\ 11. Error in the solution of linear programming problems / Wolfe", } @Proceedings{Unger:1969:TFM, editor = "Lothar Collatz und Heinz Unger", booktitle = "{Tagung {\"u}ber Funktionalanalytische Methoden der Numerischen Mathematik (1967: Mathematisches Forschungsinstitut Oberwolfach) Funktionalanalytische Methoden der numerischen Mathematik. Vortragsausz{\"u}ge der Tagung {\"u}ber funktionalanalytische Methoden der numerischen Mathematik vom 19. bis 25. Nov. 1967 im Mathematischen Forschungsinstitut Oberwolfach}", title = "{Tagung {\"u}ber Funktionalanalytische Methoden der Numerischen Mathematik (1967: Mathematisches Forschungsinstitut Oberwolfach) Funktionalanalytische Methoden der numerischen Mathematik. Vortragsausz{\"u}ge der Tagung {\"u}ber funktionalanalytische Methoden der numerischen Mathematik vom 19. bis 25. Nov. 1967 im Mathematischen Forschungsinstitut Oberwolfach}", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "143", year = "1969", LCCN = "QA297 .T3 1967aa", bibdate = "Sat May 27 08:54:42 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @Proceedings{Alefeld:1980:FNC, editor = "G. Alefeld and R. D. Grigorieff", booktitle = "Fundamentals of numerical computation (computer-oriented numerical analysis)", title = "Fundamentals of numerical computation (computer-oriented numerical analysis)", volume = "2", publisher = pub-SPRINGER-WIEN, address = pub-SPRINGER-WIEN:adr, pages = "v + 229", year = "1980", CODEN = "COSPDM", ISBN = "0-387-81566-X", ISBN-13 = "978-0-387-81566-4", ISSN = "0344-8029", LCCN = "QA297 .F84", bibdate = "Wed Oct 13 18:45:11 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "In cooperation with R. Albrecht, U. Kulisch, and F. Stummel. ``Mainly a collection of the invited lectures which were given during a conference \ldots{} held in June 5--8, 1979, on the occasion of the centennial of the Technical University of Berlin.''", series = j-COMPUTING-SUPPLEMENTUM, acknowledgement = ack-nhfb, } @Proceedings{Nickel:1980:IMP, editor = "Karl L. E. Nickel", title = "{Interval mathematics 1980: proceedings of an International Symposium on Interval Mathematics, held at the Institut f{\"u}r Angewandte Mathematik, Universit{\"a}t Freiburg i. Br., Germany, May 27--31, 1980}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xv + 554", year = "1980", ISBN = "0-12-518850-1", ISBN-13 = "978-0-12-518850-0", LCCN = "QA297.75 .I57 1980", bibdate = "Fri Dec 08 08:24:13 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, } @Proceedings{IEEE:1984:PIC, editor = "IEEE", booktitle = "{Proceedings of the 23rd IEEE Conference on Decision and Control, December 12--14, 1984, Las Vegas Hilton, Las Vegas, Nevada}", title = "{Proceedings of the 23rd IEEE Conference on Decision and Control, December 12--14, 1984, Las Vegas Hilton, Las Vegas, Nevada}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1776", year = "1984", ISBN = "????", ISBN-13 = "????", LCCN = "TJ217 .I17 1984", bibdate = "Sat May 27 08:48:46 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Three volumes.", acknowledgement = ack-nhfb, } @Book{Moore:1988:RCR, editor = "Ramon E. Moore", booktitle = "Reliability in Computing: the Role of Interval Methods in Scientific Computing", title = "Reliability in Computing: the Role of Interval Methods in Scientific Computing", volume = "19", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xv + 428", year = "1988", ISBN = "0-12-505630-3", ISBN-13 = "978-0-12-505630-4", LCCN = "QA76.9.E94 R45 1988", bibdate = "Mon Dec 18 09:41:47 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib; http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/fortran2.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Perspectives in computing", ZMnumber = "0638.00033", acknowledgement = ack-nhfb, classmath = "00Bxx Conference proceedings and collections of papers; 65-06 Proceedings of conferences (numerical analysis)", keywords = "Computing; Interval methods; Reliability; Scientific computing", tableofcontents = "Contributors / ix \\ Preface / xiii \\ Acknowledgments / xv \\ Part 1: Computer Arithmetic and Mathematical Software / 3 \\ Chapter 1. Arithmetic for Vector Processors / R. Kirchner and U. Kulisch / 3 \\ Abstract \\ 1. Introduction \\ 2. The State of the Art \\ 3. Fast Computation of Sums and Scalar Products \\ 4. Summation with only One Row of Adders \\ 5. Systems with Large Exponent Range and Further Remarks \\ 6. Application to Multiple Precision Arithmetic \\ 7. Contemporary Floating-Point Arithmetic \\ 8. Literature \\ Chapter 2. FORTRAN-SC, A FORTRAN Extension for Engineering/Scientific Computation with Access to ACRITH: Language Description with Examples / Wolfgang Walter / 43 \\ Abstract \\ 1. Introduction \\ 2. Development of FORTRAN-SC \\ 3. Main Language Concepts \\ 4. Language Description with Examples \\ 5. Implementation of FORTRAN-SC \\ References \\ Chapter 3. FORTRAN-SC, A FORTRAN Extension for Engineering/Scientific Computation with Access to ACRITH: Demonstration of the Compiler and Sample Programs / Michael Metzger / 63 \\ Abstract \\ Introduction \\ Example 1: Interval Newton Method \\ Example 2: Automatic Differentiation \\ Example 3: Runge--Kutta Method \\ Example 4: Gaussian Elimination Method \\ Example 5: Verified Solution of a Linear System \\ References \\ Chapter 4. Reliable Expression Evaluation in PASCAL-SC / J{\"u}rgen Wolff von Gudenberg / 81 \\ Abstract \\ 1. Floating-point arithmetic \\ 2. Interval arithmetic \\ 3. The optimal scalar product \\ 4. Complex floating-point and complex interval arithmetic \\ 5. Matrix and vector arithmetic \\ 6. Accurate Operations and Problem Solving Routines \\ 7. Transformation of arithmetic expressions \\ 8. Solution of nonlinear systems \\ 9. The data type dotprecision \\ 10. Dotproduct expressions \\ 11. Conclusion \\ References \\ Chapter 5. Floating-Point Standards --- Theory and Practice / W. J. Cody / 99 \\ 1. Introduction \\ 2. The Standards \\ 3. Implementations \\ 4. Software Support \\ 5. Conclusions \\ References \\ Chapter 6. Algorithms for Verified Inclusions: Theory and Practice / Siegfried M. Rump / 109 \\ Summary \\ 0. Introduction \\ 1. Basic theorems \\ 2. Practical verification on the computer \\ 3. Interactive Programming Environment \\ 4. References \\ Chapter 7. Applications of Differentiation Arithmetic / George F. Corliss / 127 \\ Abstract \\ 1. Differentiation Arithmetic \\ Why, What, and How? \\ 2. Why? \\ Motivation \\ 3. What? \\ Component tools \\ 4. Conditions on f \\ 5. How to use it? \\ Applications \\ 6. Acknowledgements \\ References \\ Part 2: Linear and Nonlinear Systems / 149 \\ Chapter 8. Interval Acceleration of Convergence / Karl Nickel / 151 \\ Abstract \\ 1. Introduction \\ 2. Examples \\ 3. Definitions and Notation \\ 4. Interval Methods \\ 5. How Can We Get Bounds on a Given Point-Sequence? \\ 6. Acceleration of Convergence \\ References \\ Chapter 9. Solving Systems of Linear Interval Equations / J. Rohn / 171 \\ 0. Introduction \\ 1. Bounding the solutions \\ 2. Computing the xy's \\ 3. Explicit formulae for x, x \\ 4. Inverse interval matrix \\ References \\ Chapter 10. Interval Least Squares --- a Diagnostic Tool / David M. Gay / 183 \\ Introduction \\ Linearity \\ Interval Notation \\ Chapter 11. Existence of Solutions and Iterations for Nonlinear Equations / G. Alefeld / 207 \\ Chapter 12. Interval Method for Algebraic Equations / M. A. Wolfe / 229 \\ Chapter 13. Error Questions in the Computation of Solution Manifolds of Parametrized Equations / Werner C. Rheinbolt / 249 \\ Chapter 14. The Enclosure of Solutions of Parameter-Dependent Systems of Equations / A. Neumaier / 269 \\ Part 3. Optimization / 287 \\ Chapter 15. An Overview of Global Optimization Using Interval Analysis / Eldon Hansen / 289 \\ Chapter 16. Philosophy and Practicalities of Interval Arithmetic / G. William Walster / 309 \\ Chapter 17. Some Recent Aspects of Interval Algorithms for Global Optimization / Helmut Ratschek / 325 \\ Chapter 18. The Use of Interval Arithmetic in Uncovering Structure of Linear Systems / Weldon A. Lodwick / 341 \\ Part 4. Operator Equations / 355 \\ Chapter 19. The Role of Order in Computing / Garrett Birkhoff / 357 \\ Chapter 20. Interval Methods for Operator Equations / R. E. Moore and Shen Zuhe / 379 \\ Chapter 21. Boundary Implications for Stability Properties: Present Status / J. Garloff and N. K. Bose / 391 \\ Chapter 22. Validating Computation in a Function Space / Edgar Kaucher and Willard L. Miranker / 403 \\ Epilogue: A Poem about My Life, by Daniel J. Langton / 427", } @Proceedings{Meyer:1991:CAP, editor = "Kenneth R. (Kenneth Ray) Meyer and Dieter S. Schmidt", booktitle = "Computer aided proofs in analysis", title = "Computer aided proofs in analysis", volume = "28", publisher = pub-SV, address = pub-SV:adr, pages = "251", year = "1991", ISBN = "0-387-97426-1 (New York Berlin Heidelberg alk. paper) 3-540-97426-1", ISBN-13 = "978-0-387-97426-2 (New York Berlin Heidelberg alk. paper) 978-3-540-97426-0", LCCN = "???? (Berlin Heidelberg New York: alk. paper)", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", series = "The IMA volumes in mathematics and its applications", acknowledgement = ack-nhfb, keywords = "Numerical analysis --- Data processing --- Congresses.", remark = "Proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989", tableofcontents = "Foreword. The conversion of a high order programming language from floating-point arithmetic to range arithmetic / Oliver Aberth \\ Sylvester's form of the resultant and the matrix-triangularization subresultant PRS method / Alkiviadis G. Akritas \\ Computing the Tsirelson space norm / Johnnie W. Baker, Oberta A. Slotterbeck and Richard Aron \\ Floating-point systems for theorem proving / G. Bohlender, J. Wolff von Gudenberg and W. L. Miranker \\ Computer algebra and indefinite integrals / Manuel Bronstein \\ A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics / Alessandra Celletti and Luigi Chierchia \\ On a computer algebra aided proof in bifurcation theory / Carmen Chicone and Marc Jacobs. MACSYMA program to implement averaging using elliptic functions / Vincent T. Coppola and Richard H. Rand \\ Validated anti-derivatives / George F. Corliss \\ A toolbox for nonlinear dynamics / Shannon Coffey \ldots{} [et al.] \\ Computer assisted proofs of stability of matter / R. de la Llave \\ Accurate strategies for K.A.M. bounds and their implementation / R. de la Llave and D. Rana \\ A software tool for analysis in function spaces / J.-P. Eckmann, A. Malaspinas and S. Oliffson Kamphorst \\ Equation solving by symbolic computation / Anthony C. Hearn \\ Deciding a class of Euclidean geometry theorems with Buchberger's algorithm / Bernhard Kutzler \\ Lie transform tutorial: II / Kenneth R. Meyer \\ Interval tools for computer aided proofs in analysis / Ramon E. Moore \\ Tools for mathematical computation / L. B. Rall \\ Shadowing trajectories of dynamical systems / Tim Sauer and James A. Yorke \\ Transformation to versal normal form / Dieter S. Schmidt \\ Computer assisted lower bounds for atomic energies / Luis A. Seco.", } @Proceedings{Floudas:1992:RAG, editor = "Christodoulos A. Floudas and Panos M. Pardalos", title = "Recent advances in global optimization", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "x + 633", year = "1992", ISBN = "0-691-08740-7 (hardback), 0-691-02527-4 (paperback)", ISBN-13 = "978-0-691-08740-5 (hardback), 978-0-691-02527-8 (paperback)", LCCN = "QA402.5 .R42 1992", bibdate = "Fri Sep 19 15:28:59 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", note = "Papers presented at a conference held at Princeton University, May 10--11, 1991.", series = "Princeton series in computer science", acknowledgement = ack-nhfb, } @Proceedings{Haddad:2005:ACP, editor = "Hisham M. Haddad and others", booktitle = "{Applied computing 2005: proceedings of the 2005 ACM Symposium on Applied Computing, Santa Fe, New Mexico, USA, March 13--17, 2005}", title = "{Applied computing 2005: proceedings of the 2005 ACM Symposium on Applied Computing, Santa Fe, New Mexico, USA, March 13--17, 2005}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xlvi + 1739 (two volumes)", year = "2005", ISBN = "1-58113-964-0", ISBN-13 = "978-1-58113-964-8", LCCN = "QA76.76.A65 S95 2005", bibdate = "Tue Oct 23 11:29:00 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib", acknowledgement = ack-nhfb, }