%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "3.26",
%%% date = "01 November 2009",
%%% time = "11:01:57 MST",
%%% filename = "elefunt.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 = "05296 19187 84857 807398",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX; bibliography; elementary functions;
%%% special functions",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a bibliography of publications about
%%% the computation of the elementary functions
%%% (square root, exponential, logarithm,
%%% trigonometric, inverse trigonometric,
%%% hyperbolic, inverse hyperbolic, ...), and
%%% some selected special functions (Bessel,
%%% exponential integral, Gamma, log-Gamma, psi,
%%% ...) , in computer programming languages.
%%%
%%% At version 3.26, the year coverage looked
%%% like this:
%%%
%%% 1925 ( 1) 1954 ( 2) 1983 ( 20)
%%% 1926 ( 0) 1955 ( 1) 1984 ( 13)
%%% 1927 ( 0) 1956 ( 0) 1985 ( 15)
%%% 1928 ( 0) 1957 ( 4) 1986 ( 17)
%%% 1929 ( 0) 1958 ( 4) 1987 ( 24)
%%% 1930 ( 0) 1959 ( 6) 1988 ( 35)
%%% 1931 ( 0) 1960 ( 9) 1989 ( 63)
%%% 1932 ( 0) 1961 ( 5) 1990 ( 17)
%%% 1933 ( 0) 1962 ( 0) 1991 ( 27)
%%% 1934 ( 0) 1963 ( 5) 1992 ( 17)
%%% 1935 ( 0) 1964 ( 5) 1993 ( 22)
%%% 1936 ( 0) 1965 ( 5) 1994 ( 29)
%%% 1937 ( 0) 1966 ( 7) 1995 ( 22)
%%% 1938 ( 0) 1967 ( 3) 1996 ( 12)
%%% 1939 ( 0) 1968 ( 7) 1997 ( 16)
%%% 1940 ( 0) 1969 ( 8) 1998 ( 7)
%%% 1941 ( 0) 1970 ( 5) 1999 ( 31)
%%% 1942 ( 0) 1971 ( 15) 2000 ( 23)
%%% 1943 ( 1) 1972 ( 15) 2001 ( 17)
%%% 1944 ( 2) 1973 ( 9) 2002 ( 8)
%%% 1945 ( 2) 1974 ( 8) 2003 ( 12)
%%% 1946 ( 1) 1975 ( 11) 2004 ( 20)
%%% 1947 ( 0) 1976 ( 11) 2005 ( 13)
%%% 1948 ( 1) 1977 ( 6) 2006 ( 7)
%%% 1949 ( 0) 1978 ( 13) 2007 ( 6)
%%% 1950 ( 0) 1979 ( 13) 2008 ( 1)
%%% 1951 ( 3) 1980 ( 11) 2009 ( 10)
%%% 1952 ( 3) 1981 ( 15)
%%% 1953 ( 1) 1982 ( 27)
%%%
%%% Article: 464
%%% Book: 39
%%% InBook: 1
%%% InCollection: 19
%%% InProceedings: 122
%%% Manual: 1
%%% MastersThesis: 3
%%% Misc: 3
%%% PhdThesis: 13
%%% Proceedings: 44
%%% TechReport: 39
%%% Unpublished: 1
%%%
%%% Total entries: 749
%%%
%%% This bibliography has been collected from
%%% bibliographies in the author's personal
%%% files, from the OCLC WorldCat and
%%% Contents1st databases, from the American
%%% Mathematical Society MathSciNet database,
%%% from the ACM Computing Archive CD-ROM,
%%% and from the computer science bibliography
%%% collection on ftp.ira.uka.de in
%%% /pub/bibliography to which many people of
%%% have contributed.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen as
%%% name:year:abbrev, where name is the family
%%% name of the first author or editor, year is a
%%% 4-digit number, and abbrev is a 3-letter
%%% condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% This bibliography is sorted by year, and
%%% within each year, by author and title key,
%%% using ``bibsort -byyear''. Cross-referenced
%%% proceedings entries appear at the end,
%%% because of a restriction in the current
%%% BibTeX.
%%%
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%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
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%%% To suppress output of English translations of non-English titles,
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%%% instead.
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"\ifx \undefined \TM \def \TM {${}^{\sc TM}$} \fi" #
"\hyphenation{
Rich-ard
}"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-nj = "Norbert Juffa,
2445 Mission College Blvd.,
Santa Clara, CA 95054,
USA,
e-mail: \path|norbert@@iit.com|"}
@String{ack-rfb = "Ronald F. Boisvert,
Applied and Computational Mathematics Division,
National Institute of Standards and Technology,
Gaithersburg, MD 20899, USA,
Tel: +1 301 975 3812,
e-mail: \path=boisvert@cam.nist.gov="}
%%% ====================================================================
%%% Institution abbreviations:
@String{inst-ANL = "Argonne National Laboratory"}
@String{inst-ANL:adr = "9700 South Cass Avenue, Argonne, IL
60439-4801, USA"}
@String{inst-CPAM-UCB = "Center for Pure and Applied Mathematics,
University of California, Berkeley"}
@String{inst-CPAM-UCB:adr = "Berkeley, CA, USA"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-INFO = "Acta Informatica"}
@String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"}
@String{j-AM-J-MATH = "American Journal of Mathematics"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-MATH-ARTIF-INTELL = "Annals of Mathematics and Artificial
Intelligence"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-STAT = "Applied Statistics"}
@String{j-AUSTRALIAN-J-PHYS = "Australian Journal of Physics"}
@String{j-AUTOMATICA = "Automatica: the journal of IFAC, the
International Federation of Automatic
Control"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-C-R-ACAD-BULGARE-SCI = "Comptes rendus de l'Acad{\'e}mie bulgare
des sciences"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CCCUJ = "C/C++ Users Journal"}
@String{j-COMP-MATH-APPL-B = "Computers and Mathematics with Applications.
Part B"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUTER = "Computer"}
@String{j-COMPUTING = "Computing: Archiv fur informatik und
numerik"}
@String{j-COMPUTING-SUPPLEMENTUM = "Computing. Supplementum"}
@String{j-CONST-APPROX = "Constructive Approximation"}
@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-ELECT-LETTERS = "Electronics Letters"}
@String{j-ELEK-RECHENANLAGEN = "Elektronische Rechenanlagen"}
@String{j-IBM-JRD = "IBM Journal of Research and Development"}
@String{j-IBM-SYS-J = "IBM Systems Journal"}
@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital Techniques"}
@String{j-IEEE-J-SOLID-STATE-CIRCUITS = "IEEE Journal of Solid-State Circuits"}
@String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE signal processing letters"}
@String{j-IEEE-TRANS-CIRCUITS-SYST-2 = "IEEE transactions on circuits and
systems. 2, Analog and digital signal
processing"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IEEE-TRANS-VLSI-SYST = "IEEE Transactions on Very Large Scale
Integration (VLSI) Systems"}
@String{j-IJQC = "International Journal of Quantum Chemistry"}
@String{j-IJSAHPC = "The International Journal of Supercomputer
Applications and High Performance Computing"}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INT-J-COMPUT-INF-SCI = "International Journal of Computer and
Information Sciences"}
@String{j-INT-J-MATH-EDU-SCI-TECH = "International journal of mathematical
education in science and technology"}
@String{j-INT-J-MATH-MATH-SCI = "International Journal of Mathematics and
Mathematical Sciences"}
@String{j-INTEGRATION-VLSI-J = "Integration, the VLSI journal"}
@String{j-INTEL-TECH-J = "Intel Technology Journal"}
@String{j-INTERVAL-COMP = "Interval Computations = Interval'nye
vychisleniia"}
@String{j-J-ACM = "Journal of the Association for Computing
Machinery"}
@String{j-J-ALG = "Journal of Algorithms"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-COMP-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPLEXITY = "Journal of complexity"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-MULTIVAR-ANAL = "Journal of multivariate analysis"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and General)"}
@String{j-J-STAT-COMPUT-SIMUL = "Journal of Statistical Computation and
Simulation"}
@String{j-J-STAT-SOFT = "Journal of Statistical Software"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-J-SYMBOLIC-LOGIC = "Journal of Symbolic Logic"}
@String{j-J-UCS = "J.UCS: The Journal of Universal Computer Science"}
@String{j-J-VLSI-SIGNAL-PROC = "Journal of VLSI Signal Processing"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LIN-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-LOGIN = ";login: the USENIX Association newsletter"}
@String{j-MATH-COMP = "Mathematics of Computation"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical modelling and numerical
analysis = Modelisation math{\'e}matique et
analyse num{\'e}rique: $M^2AN$"}
@String{j-MATH-OP-RES = "Mathematics of Operations Research"}
@String{j-MATH-PROG = "Mathematical Programming"}
@String{j-MATH-TABLES-AIDS-COMPUT = "Mathematical Tables and Aids to
Computation"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
@String{j-MICROPROC-MICROPROG = "Microprocessing and Microprogramming"}
@String{j-MICROPROC-MICROSYS = "Microprocessors and Microsystems"}
@String{j-NACH-ELEK = "Nachrichtentechnik Elektronik"}
@String{j-NEURAL-COMP = "Neural Computation"}
@String{j-NEURAL-NETWORKS = "Neural Networks"}
@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk tidskrift for
informationsbehandling"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUCL-INSTR-METH = "Nuclear Instruments and Methods"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-OPER-RES = "Operations Research"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PHYS-TODAY = "Physics Today"}
@String{j-PHYSICA-D = "Physica D"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROG-COMP-SOFT = "Programming and Computer Software;
translation of Programmirovaniye (Moscow,
USSR) Plenum"}
@String{j-PROGRAMMIROVANIE = "Programmirovanie"}
@String{j-RUSS-J-MATH-PHYS = "Russian Journal of Mathematical Physics"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@String{j-SIAM-J-MATH-ANA = "SIAM journal on mathematical analysis"}
@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
Applied Mathematics: Series B, Numerical
Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGADA-LETTERS = "ACM SIGADA Ada Letters"}
@String{j-SIGNUM = "ACM SIGNUM Newsletter"}
@String{j-SIGPLAN = "ACM SIGPLAN Notices"}
@String{j-TECHNIQUE-SCI-INFORMATIQUES = "Technique et Science Informatiques"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-TOKYO-J-MATH = "Tokyo journal of mathematics"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-TRANS-SOC-COMP-SIM = "Transactions of the Society for Computer
Simulation"}
@String{j-Z-ANAL-ANWEND = "Zeitschrift f{\"u}r Analysis und ihre
Anwendungen"}
@String{j-Z-MATH-LOGIK-GRUNDL-MATH = "Zeitschrift f{\\\"u}r mathematische
Logik und Grundlagen der Mathematik"}
%%% ====================================================================
%%% Publishers and their addresses:
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AFIPS = "AFIPS Press"}
@String{pub-AFIPS:adr = "Montvale, NJ, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AP = "Academic Press"}
@String{pub-AP:adr = "New York, NY, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-CHAPMAN-HALL = "Chapman and Hall, Ltd."}
@String{pub-CHAPMAN-HALL:adr = "London, UK"}
@String{pub-CHAPMAN-HALL-CRC = "Chapman and Hall/CRC"}
@String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"}
@String{pub-CLARENDON-PRESS = "Clarendon Press"}
@String{pub-CLARENDON-PRESS:adr = "Oxford, UK"}
@String{pub-CRC = "CRC Press"}
@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton,
FL 33431-9868, USA"}
@String{pub-ELLIS-HORWOOD = "Ellis Horwood"}
@String{pub-ELLIS-HORWOOD:adr = "New York, NY, USA"}
@String{pub-ENH = "Elsevier North-Holland, Inc."}
@String{pub-ENH:adr = "New York, NY, USA"}
@String{pub-IBM = "IBM Corporation"}
@String{pub-IBM:adr = "San Jose, CA, USA"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-KLUWER = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr = "Dordrecht, The Netherlands"}
@String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York, NY, USA"}
@String{pub-NIST = "National Institute for Standards and Technology"}
@String{pub-NIST:adr = "Gaithersburg, MD, USA"}
@String{pub-NORTH-HOLLAND = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PERGAMON = "Pergamon Press"}
@String{pub-PERGAMON:adr = "New York, NY, USA"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ, USA"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"}
@String{pub-REK = "Robert E. Krieger Publishing Company"}
@String{pub-REK:adr = "Huntington, NY, USA"}
@String{pub-SIAM = "Society for Industrial and Applied
Mathematics"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SPIE = "Society of Photo-optical
Instrumentation Engineers (SPIE)"}
@String{pub-SPIE:adr = "Bellingham, WA, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-TEUBNER = "Teubner"}
@String{pub-TEUBNER:adr = "Stuttgart, Leipzig"}
@String{pub-USENIX = "USENIX"}
@String{pub-USENIX:adr = "San Francisco, CA, USA"}
@String{pub-WCB = "William C. Brown Company Publishers"}
@String{pub-WCB:adr = "Dubuque, IA, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing
Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr = "P. O. Box 128, Farrer Road,
Singapore 9128"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS = "Lecture Notes in Computer Science"}
%%% ====================================================================
%%% Bibliography entries, sorted by year and citation label:
@Article{Ritt:1925:EFT,
author = "J. F. Ritt",
title = "Elementary functions and their inverses",
journal = j-TRANS-AM-MATH-SOC,
volume = "27",
number = "1",
pages = "68--90",
year = "1925",
CODEN = "TAMTAM",
ISSN = "0002-9947",
MRclass = "30A05 (33B10)",
MRnumber = "MR1501299",
bibdate = "Wed Apr 13 06:46:35 2005",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
}
@Article{RCA:1943:TTF,
author = "{R. C. A.}",
title = "Tables of Trigonometric Functions in Non-Sexagesimal
Arguments",
journal = j-MATH-TABLES-AIDS-COMPUT,
volume = "1",
number = "2",
pages = "33--44",
month = apr,
year = "1943",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
note = "Original journal has only `R. C. A.' as author:
possibly R. C. Archibald.",
acknowledgement = ack-nhfb,
}
@Article{Bateman:1944:GTB,
author = "Harry Bateman and Raymond Clare Archibald",
title = "A Guide to Tables of {Bessel} Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "7",
pages = "205--308",
month = jul,
year = "1944",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "",
MRnumber = "6,132b",
MRreviewer = "G. Szeg{\"o}",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{DHL:1944:NCB,
author = "{D. H. L.}",
title = "Note on the Computation of the {Bessel} Function
${I}_n({X})$",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "5",
pages = "133--135",
month = apr,
year = "1944",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
note = "Original journal has only `D. H. L.' as author:
probably D. H. Lehmer.",
acknowledgement = ack-nhfb,
}
@Article{Abramowitz:1945:ZCB,
author = "Milton Abramowitz",
title = "Zeros of certain {Bessel} functions of fractional
order",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "9",
pages = "353--354",
month = jan,
year = "1945",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "6,132c",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1945:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = "Edwards Bros.",
address = "Ann Arbor, MI, USA",
pages = "xii + 181",
year = "1945",
LCCN = "????",
bibdate = "Fri Jun 11 12:34:09 1999",
note = "Original edition published in 1940.",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1946:MZC,
author = "Anonymous",
title = "More Zeros of Certain {Bessel} Functions of Fractional
Order",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "2",
number = "15",
pages = "118--119",
month = jul,
year = "1946",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Emde:1948:TEF,
author = "Fritz Emde",
title = "{Tafeln Elementarer Funktionen} ({German}) [Tables of
Elementary Functions]",
publisher = pub-TEUBNER,
address = pub-TEUBNER:adr,
edition = "Second",
pages = "xii + 181",
year = "1948",
LCCN = "QA55 .E5 1948",
MRclass = "65.0X",
MRnumber = "11,263k",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fogel:1951:FTE,
author = "{\`E}. K. Fogel'",
title = "A finite theory of elementary functions. {I}.
Logarithmic and exponential functions. ({Russian})",
journal = "Latvijas PSR Zin\=at{\c{n}}u Akad. V\=estis",
volume = "5",
number = "46",
pages = "801--813",
year = "1951",
MRclass = "33.0X",
MRnumber = "15,218b",
MRreviewer = "H. N. Shapiro",
bibdate = "Sat Apr 25 13:05:19 1998",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1951:FCE,
author = "H. E. Salzer",
title = "Formulas for Calculating the Error Function of a
Complex Variable",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "34",
pages = "67--70",
month = apr,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1951:RTT,
author = "H. E. Salzer",
title = "Radix Table for Trigonometric Functions and their
Inverses to High Accuracy",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "5",
number = "33",
pages = "9--11",
month = jan,
year = "1951",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InBook{Goncarov:1952:EFC,
author = "V. L. Gon{\v{c}}arov",
booktitle = "Encyclopaedia of elementary mathematics. Book III.
Functions and limits (the foundations of analysis)",
title = "Elementary functions of a complex variable",
publisher = "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
address = "Moscow-Leningrad, USSR",
pages = "491--552",
year = "1952",
MRclass = "30.0X",
MRnumber = "14,1073c",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Goncarov:1952:EFR,
author = "V. L. Gon{\v{c}}arov",
booktitle = "Encyclopaedia of elementary mathematics. Book III.
Functions and limits (the foundations of analysis)",
title = "Elementary functions of a real variable. Limits of
sequences and functions. The general concept of a
function",
publisher = "Gosudarstv. Izdat. Tehn-Teoret. Lit.",
address = "Moscow-Leningrad, USSR",
pages = "9--296",
year = "1952",
MRclass = "27.2X",
MRnumber = "14,1070d",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kuipers:1952:PSE,
author = "L. Kuipers",
title = "Properties of some elementary functions",
journal = "Nederl. Akad. Wetensch. Proc. Ser. A. = Indagationes
Math.",
volume = "55",
number = "14",
pages = "388--393",
year = "1952",
MRclass = "27.0X",
MRnumber = "14,360e",
MRreviewer = "E. Frank",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Scherberg:1953:ACP,
author = "Max G. Scherberg and John F. Riordan",
title = "Analogue Calculation of Polynomial and Trigonometric
Expansions (in {Other Aids to Computation})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
number = "41",
pages = "61--65",
month = jan,
year = "1953",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Clenshaw:1954:PAE,
author = "C. W. Clenshaw",
title = "Polynomial approximations to elementary functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
pages = "143--147",
year = "1954",
ISSN = "0891-6837",
MRclass = "41.1X",
MRnumber = "16,128f",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Book{Hastings:1955:ADC,
author = "Cecil {Hastings, Jr.}",
title = "Approximations for digital computers",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "viii + 201",
year = "1955",
ISBN = "0-691-07914-5",
LCCN = "QA76 .H37",
bibdate = "Mon Oct 01 15:59:48 2007",
bibsource = "z3950.loc.gov:7090/Voyager",
note = "Assisted by Jeanne T. Hayward and James P. Wong, Jr.",
series = "The Rand series",
acknowledgement = ack-nhfb,
remark = "Reprinted 1957, 1959, 1962, 1966, and 1970. I have
fourth printing (1962).",
subject = "Electronic digital computers; Numerical analysis",
}
@Article{LaFara:1954:MCI,
author = "Robert L. LaFara",
title = "A Method for Calculating Inverse Trigonometric
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
number = "47",
pages = "132--139",
month = jul,
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1957:CEN,
author = "E. G. Kogbetliantz",
title = "Computation of $e^N$ for $-\infty < N < +\infty$ Using
an Electronic Computer",
journal = j-IBM-JRD,
volume = "1",
number = "2",
pages = "110--115",
month = apr,
year = "1957",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "68.0X",
MRnumber = "19,775d",
bibdate = "Tue Sep 06 20:55:54 1994",
acknowledgement = ack-nhfb,
reviewer = "W. F. Freiberger",
}
@Article{Linskii:1957:CEF,
author = "V. S. Linski{\u{\i}}",
title = "Calculation of elementary functions on automatic
digital machines. ({Russian})",
journal = "Vy{\v{c}}isl. Mat.",
volume = "2",
pages = "90--119",
year = "1957",
MRclass = "68.00",
MRnumber = "21 \#982",
MRreviewer = "J. W. Carr, III",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Luke:1957:C,
author = "Yudell L. Luke",
title = "On the Computation of $\log {Z}$ and
${\rm arc} \tan {Z}$",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "57",
pages = "16--18",
month = jan,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Stegun:1957:GBF,
author = "Irene A. Stegun and Milton Abramowitz",
title = "Generation of {Bessel} Functions on High Speed
Computers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "60",
pages = "255--257",
month = oct,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Goldstein:1958:BFL,
author = "M. Goldstein and R. M. Thaler",
title = "{Bessel} Functions for Large Arguments",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "12",
number = "61",
pages = "18--26",
month = jan,
year = "1958",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1958:CANa,
author = "E. G. Kogbetliantz",
title = "Computation of Arctan {N} for $-\infty < {N} <
+\infty$ Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "2",
number = "1",
pages = "43--53",
month = jan,
year = "1958",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65.3X",
MRnumber = "19,982e",
bibdate = "Wed Aug 31 13:40:00 1994",
acknowledgement = ack-nhfb,
reviewer = "C. B. Haselgrove",
}
@Article{Kogbetliantz:1958:CANb,
author = "E. G. Kogbetliantz",
title = "Computation of Arcsin {N} for $0<{N}<1$ Using an
Electronic Computer",
journal = j-IBM-JRD,
volume = "2",
number = "3",
pages = "218--222",
month = jul,
year = "1958",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65.3X",
MRnumber = "19,1197c",
bibdate = "Wed Aug 31 13:41:37 1994",
acknowledgement = ack-nhfb,
reviewer = "C. B. Haselgrove",
}
@Article{Wadey:1958:TSR,
author = "W. G. Wadey",
title = "Two Square-Root Approximations",
journal = j-CACM,
volume = "1",
number = "11",
pages = "13--14",
month = nov,
year = "1958",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Wed Jul 14 15:48:22 MDT 2004",
bibsource = "http://portal.acm.org/;
http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58",
acknowledgement = ack-nhfb,
oldlabel = "Wadey58",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wadey58",
}
@Article{Davis:1959:LEI,
author = "P. J. Davis",
title = "{Leonhard Euler}'s integral: {A} historical profile of
the gamma function: In Memoriam: {Milton Abramowitz}",
journal = j-AMER-MATH-MONTHLY,
volume = "66",
number = "??",
pages = "849--869",
month = "????",
year = "1959",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "00 (33.00)",
MRnumber = "MR0106810 (21 #5540)",
bibdate = "Mon Nov 24 20:57:26 2008",
acknowledgement = ack-nhfb,
}
@Article{Goldstein:1959:RTC,
author = "M. Goldstein and R. M. Thaler",
title = "Recurrence Techniques for the Calculation of {Bessel}
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "66",
pages = "102--108",
month = apr,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kogbetliantz:1959:CSC,
author = "E. G. Kogbetliantz",
title = "Computation of $\sin{N}$, $\cos{N}$, and ${M}$th Root
of ${N}$ Using an Electronic Computer",
journal = j-IBM-JRD,
volume = "3",
number = "2",
pages = "147--152",
month = apr,
year = "1959",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65.00",
MRnumber = "21 \#964",
bibdate = "Thu Sep 1 10:15:56 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb,
reviewer = "B. A. Chartres",
}
@Article{Sarafyan:1959:NMC,
author = "Diran Sarafyan",
title = "A New Method of Computation of Square Roots Without
Using Division",
journal = j-CACM,
volume = "2",
number = "11",
pages = "23--24",
month = nov,
year = "1959",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Wed Jul 14 15:48:24 MDT 2004",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59;
http://portal.acm.org/",
note = "See comments \cite{Traub:1960:CNM}.",
acknowledgement = ack-nhfb,
oldlabel = "Sarafyan59",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sarafyan59",
}
@Article{Sherry:1959:CGF,
author = "M. E. Sherry and S. Fulda",
title = "Calculation of Gamma Functions to High Accuracy (in
{Technical Notes and Short Papers})",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "68",
pages = "314--315",
month = oct,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Volder:1959:CCT,
author = "Jack Volder",
title = "The {CORDIC} Computing Technique",
journal = "Proceedings of the Western Joint Computer Conference",
pages = "257--261",
year = "1959",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/Pre.1975.bib.gz",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Haimovici:1960:MRE,
author = "Corina Haimovici",
title = "A method of representing elementary functions in
algebras of finite order. ({Romanian})",
journal = "An. {\c{S}}ti. Univ. ``Al. I. Cuza'' Ia{\c{s}}i
Sec{\c{t}} I. (N.S.)",
volume = "6",
pages = "507--515",
year = "1960",
MRclass = "26.00",
MRnumber = "24 \#A1342",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Kogbetliantz:1960:GEF,
author = "E. G. Kogbetliantz",
title = "Generation of elementary functions",
crossref = "Ralston:1960:MMD",
pages = "7--35",
year = "1960",
MRclass = "68.00 (65.00)",
MRnumber = "22 \#8681",
MRreviewer = "J. C. P. Miller",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Manual{Maehly:1960:ACD,
author = "Hans J. Maehly",
title = "Approximations for the {Control Data 1604}",
organization = "Institute for Advanced Study",
address = "Princeton, NJ",
pages = "ii + 44",
day = "15",
month = jan,
year = "1960",
bibdate = "Tue Nov 06 00:39:07 2007",
URL = "http://www.bitsavers.org/pdf/cdc/1604/Approximations_For_The_Control_Data_1604_Mar60.pdf",
acknowledgement = ack-nhfb,
keywords = "$\arctan(x)$; $\cos(x)$; $\exp(x)$; $\log(x)$;
$\sin(x)$; $\sqrt(x)$; $\tan(x)$; CDC 1604",
}
@Article{Philip:1960:FI,
author = "J. R. Philip",
title = "The function inverfc $\theta$",
journal = j-AUSTRALIAN-J-PHYS,
volume = "13",
number = "1",
pages = "13--20",
month = mar,
year = "1960",
CODEN = "AUJPAS",
ISSN = "0004-9506",
MRnumber = "22 \9626",
bibdate = "Tue Sep 11 20:53:59 2007",
abstract = "The function inverfc $\theta$ arises in certain
differential equations when concentration is taken as
an independent variable. It enters into a general
method of exact solution of the concentration-dependent
diffusion equation. An account is given of the
properties of this function, and of its derivatives and
integrals. The function\par
$$B(\theta) = (2/\pi^{1/2}) \exp[-({\rm inverfc} \theta)^2]$$
\noindent is intimately connected with the first
integral of inverfc $\theta$ and with its
derivatives. Tables of inverfc $\theta$ and $B(\theta)$
are given.",
acknowledgement = ack-nhfb,
ZMnumber = "135.28302",
}
@Article{Sarafyan:1960:DCS,
author = "Diran Sarafyan",
title = "Divisionless computation of square roots through
continued squaring",
journal = j-CACM,
volume = "3",
number = "5",
pages = "319--321",
month = may,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782",
MRclass = "65.00",
MRnumber = "22\#8639",
bibdate = "Fri Nov 25 18:19:26 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/",
acknowledgement = ack-nhfb,
keywords = "$\sqrt(x)$; elementary functions",
ZMreviewer = "M. Lotkin",
}
@Article{Sholander:1960:AEE,
author = "Marlow Sholander",
title = "Analytical expressions and elementary functions",
journal = j-AMER-MATH-MONTHLY,
volume = "67",
pages = "213--214",
year = "1960",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "26.00",
MRnumber = "22 \#9553",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Traub:1960:CNM,
author = "J. F. Traub",
title = "Comments on a recent paper [{``A New Method of
Computation of Square Roots Without Using
Division''}]",
journal = j-CACM,
volume = "3",
number = "2",
pages = "86--86",
month = feb,
year = "1960",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Fri Nov 25 18:19:25 MST 2005",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60;
http://www.acm.org/pubs/contents/journals/cacm/",
note = "See \cite{Sarafyan:1959:NMC}.",
acknowledgement = ack-nhfb,
oldlabel = "Traub60",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Traub60",
}
@Book{Warmus:1960:TEF,
author = "Mieczys{\l}aw Warmus",
title = "Tables of elementary functions",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "vii + 567",
year = "1960",
LCCN = "QA55 .W3 1960",
MRclass = "65.05",
MRnumber = "23 \#B1141",
MRreviewer = "J. C. P. Miller",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
note = "Pa\'nstwowe Wydawnictwo Naukowe, Warsaw. Separately
bound table of proportional parts, 30 pp.",
acknowledgement = ack-nhfb,
}
@Article{Barakat:1961:EIG,
author = "Richard Barakat",
title = "Evaluation of the Incomplete Gamma Function of
Imaginary Argument by {Chebyshev} Polynomials",
journal = j-MATH-COMPUT,
volume = "15",
number = "73",
pages = "7--11",
month = jan,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Froberg:1961:RCA,
author = "Carl-Erik Fr{\"o}berg",
title = "Rational {Chebyshev} Approximations of Elementary
Functions",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "1",
number = "4",
pages = "256--262",
month = dec,
year = "1961",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933243",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=4",
note = "See erratum \cite{Froberg:1963:ERC}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=4&spage=256",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Article{Spielberg:1961:ECF,
author = "Kurt Spielberg",
title = "Efficient Continued Fraction Approximations To
Elementary Functions",
journal = j-MATH-COMP,
volume = "15",
number = "76",
pages = "409--417",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65.20",
MRnumber = "MR0134842 (24 \#B894)",
MRreviewer = "M. E. Rose",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj # " and " # ack-nhfb,
}
@Article{Thacher:1961:ISR,
author = "Henry C. {Thacher, Jr.}",
title = "Iterated Square Root Expansions for the Inverse Cosine
and Inverse Hyperbolic Cosine",
journal = j-MATH-COMPUT,
volume = "15",
number = "76",
pages = "399--403",
month = oct,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Werner:1961:CAG,
author = "Helmut Werner and Robert Collinge",
title = "{Chebyshev} Approximations to the Gamma Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "15",
number = "74",
pages = "195--197",
month = apr,
year = "1961",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Carlitz:1963:IEF,
author = "L. Carlitz",
title = "The Inverse of the Error Function",
journal = j-PAC-J-MATH,
volume = "13",
number = "2",
pages = "459--470",
year = "1963",
CODEN = "PJMAAI",
ISSN = "0030-8730",
bibdate = "Thu Sep 13 21:30:05 2007",
URL = "http://pjm.math.berkeley.edu/pjm;
http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.pjm/1103035736&view=body&content-type=pdf_1",
acknowledgement = ack-nhfb,
}
@Article{Froberg:1963:ERC,
author = "C.-E. Fr{\"o}berg",
title = "Erratum: {``Rational Chebyshev Approximations of
Elementary Functions'' [BIT {\bf 1}(4), 1961, p. 261,
line 12]}",
journal = j-NORDISK-TIDSKR-INFORM-BEHAND,
volume = "3",
number = "1",
pages = "68--68",
month = mar,
year = "1963",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01963538",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=3&issue=1",
note = "See \cite{Froberg:1961:RCA}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=3&issue=1&spage=68",
acknowledgement = ack-nhfb,
keywords = "elementary functions",
}
@Book{Ljusternik:1963:MVF,
author = "L. A. Ljusternik and O. A. {\v{C}}ervonenkis and A. R.
Janpol'ski{{\u{\i}}}",
title = "{\cyr Matematicheski{\u{\i}}analiz. Vychislenie
{\`e}lementarnykh funktsi{\u{\i}}}. [Mathematical
analysis. Computation of the elementary functions]",
publisher = "Gosudarstv. Izdat. Fiz-Mat. Lit.",
address = "Moscow, USSR",
pages = "247",
year = "1963",
MRclass = "65.25",
MRnumber = "28 \#1733",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Peuizulaev:1963:AEF,
author = "{\v{S}}. I. Pe{\u{\i}}zulaev",
title = "An approximation by elementary functions.
({Russian})",
journal = "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.",
volume = "3",
pages = "769--770",
year = "1963",
MRclass = "41.30",
MRnumber = "28 \#398",
MRreviewer = "D. D. Stancu",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Whittlesey:1963:IGF,
author = "John R. B. Whittlesey",
title = "Incomplete Gamma Functions for Evaluating {Erlang}
Process Probabilities",
journal = j-MATH-COMPUT,
volume = "17",
number = "81",
pages = "11--17",
month = jan,
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Burgoyne:1964:GTF,
author = "F. D. Burgoyne",
title = "Generalized Trigonometric Functions (in {Technical
Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "18",
number = "86",
pages = "314--316",
month = apr,
year = "1964",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lanczos:1964:PAG,
author = "C. Lanczos",
title = "A Precision Approximation of the Gamma Function",
journal = j-SIAM-J-NUM-ANALYSIS-B,
volume = "1",
number = "??",
pages = "86--96",
month = "????",
year = "1964",
ISSN = "0887-459X",
URL = "http://www.jstor.org/stable/2949767",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Morelock:1964:AAE,
author = "J. C. Morelock",
title = "{ACM} Algorithm 229: Elementary Functions by Continued
Fractions",
journal = j-CACM,
volume = "7",
number = "5",
pages = "296",
month = may,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Thu Sep 08 09:32:21 1994",
acknowledgement = ack-nhfb,
}
@Article{Simauti:1964:AFS,
author = "Takakazu Simauti",
title = "Approximation formulas for some elementary functions",
journal = "Comment. Math. Univ. St. Paul.",
volume = "12",
pages = "23--35",
year = "1964",
CODEN = "COMAAC",
ISSN = "0010-258X",
MRclass = "65.25",
MRnumber = "28 \#5552",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wengert:1964:SAD,
author = "R. E. Wengert",
title = "A simple automatic derivative evaluation program",
journal = j-CACM,
volume = "7",
number = "8",
pages = "463--464",
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/auto.diff.bib.gz",
abstract = "A procedure for automatic evaluation of total and
partial derivatives of arbitrary algebraic functions is
presented. The numerical values of derivatives are
computed without developing analytic expressions for
the derivatives. The function is decomposed into a
sequence of elementary expressions A library is
provided for differentiating of elementary functions.",
acknowledgement = ack-nhfb,
keywords = "point algorithm; differentiation arithmetic; computer
program.",
referred = "[Bell65a]; [Carl86a]; [Corl88a]; [Garc91a]; [Irim91a];
[Kala83b]; [Laws88a]; [Laws91a]; [Neid87a]; [Neid89a];
[Ostr71a]; [Pfei87a]; [Tesf91a]; [Voli85a]; [Wexl87a];
[Wilk64a].",
}
@Article{Fraser:1965:SMC,
author = "W. Fraser",
title = "A Survey of Methods for Computing Minimax and
Near-Minimax Polynomial Approximations for Functions of
a Single Independent Variable",
journal = j-J-ACM,
volume = "12",
number = "3",
pages = "295--314",
month = jul,
year = "1965",
CODEN = "JACOAH",
DOI = "http://doi.acm.org/10.1145/321281.321282",
ISSN = "0004-5411",
bibdate = "Thu Nov 03 08:47:50 1994",
abstract = "Methods are described for the derivation of minimax
and near-minimax polynomial approximations. For minimax
approximations techniques are considered for both
analytically defined functions and functions defined by
a table of values. For near-minimax approximations
methods of determining the coefficients of the
Fourier--Chebyshev expansion are first described. These
consist of the rearrangement of the coefficients of a
power polynomial, and also direct determination of the
coefficients from the integral which defines them, or
the differential equation which defines the function.
Finally there is given a convenient modification of an
interpolation scheme which finds coefficients of a
near-minimax approximation without requiring numerical
integration or the numerical solution of a system of
equations.",
acknowledgement = ack-nhfb,
}
@Article{Kazangapov:1965:REF,
author = "A. N. Kazangapov",
title = "Representation of elementary function in the system of
residual classes. ({Russian})",
journal = "Izv. Akad. Nauk Kazah. SSR Ser. Fiz.-Mat. Nauk",
volume = "3",
pages = "79--84",
year = "1965",
MRclass = "65.25",
MRnumber = "33 \#5090",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Book{Lyusternik:1965:HCE,
author = "L. A. Lyusternik and O. A. Chervonenkis and A. R.
Yanpol'skii",
title = "Handbook for Computing Elementary Functions",
volume = "76",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "xiii + 251",
year = "1965",
LCCN = "QA221.L513",
MRclass = "65.25",
MRnumber = "32 \#584",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
note = "Translated from the Russian by G. J. Tee. Translation
edited by K. L. Stewart.",
series = "International series of monographs on pure and applied
mathematics",
acknowledgement = ack-nhfb,
}
@Article{Maklovic:1965:IIC,
author = "S. T. Maklovi{\v{c}}",
title = "Investigation of integrals containing {Bessel} and
elementary functions. ({Russian})",
journal = "Ki{\v{s}}inev. Gos. Univ. U{\v{c}}en. Zap.",
volume = "82",
pages = "75--81",
year = "1965",
MRclass = "33.25",
MRnumber = "34 \#387",
MRreviewer = "H. A. Lauwerier",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Medhurst:1965:EI,
author = "R. G. Medhurst and J. H. Roberts",
title = "Evaluation of the Integral ${I}_n(b) = \frac{2}{\pi}
\int^\infty_0 \bigg(\frac{\sin x}{x}\bigg)^n \cos (bx)
dx$",
journal = j-MATH-COMPUT,
volume = "19",
number = "89",
pages = "113--117",
month = apr,
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Filippi:1966:BEE,
author = "S. Filippi",
title = "{Die Berechnung einiger elementarer transzendenter
Funktionen mit Hilfe des Richardson-Algorithmus}
\toenglish {The Computation of Some Elementary
Transcendental Functions by Means of the {Richardson}
Algorithm} \endtoenglish",
journal = j-COMPUTING,
volume = "1",
number = "??",
pages = "127--132",
month = "????",
year = "1966",
CODEN = "CMPTA2",
ISSN = "0010-485X",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Glasser:1966:ESI,
author = "M. L. Glasser",
title = "Evaluation of Some Integrals Involving the
$\psi$-Function (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "332--333",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Jurimae:1966:KFT,
author = "E. J{\"u}rim{\"a}e",
title = "Kompleksmuutuja funktsioonide teooria. {I}:
Elementaarsed funktsioonid. ({Estonian}) [Theory of
functions of a complex variable. {I}: Elementary
functions]",
publisher = "Tartu Riiklik {\"U}likool",
address = "Tartu, Estonia",
pages = "131",
year = "1966",
MRclass = "30.00",
MRnumber = "40 \#5827a",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Kogbetliantz:1966:GEF,
author = "E. G. Kogbetliantz",
title = "Generation of Elementary Functions",
crossref = "Ralston:1960:MMD",
pages = "7--35",
year = "1966",
bibdate = "Sat Dec 09 14:09:27 1995",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@TechReport{Kuki:1966:CAE,
author = "H. Kuki",
title = "Comments on the {ANL} Evaluation of the {OS\slash 360
FORTRAN} Math Function Library",
type = "????",
number = "SSD 169, C4773",
institution = "SHARE Secretary Distribution",
address = "????",
pages = "47--53",
year = "1966",
bibdate = "Wed Feb 14 19:13:50 2007",
acknowledgement = ack-nhfb,
}
@Article{Takenaga:1966:EIG,
author = "Roy Takenaga",
title = "On the Evaluation of the Incomplete Gamma Function (in
{Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "96",
pages = "606--610",
month = oct,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Thompson:1966:ESI,
author = "Rory Thompson",
title = "Evaluation of ${I}_n(b) = 2\pi^{-1} \int^\infty_0
\big(\frac{sin x}{x}\big) ^n \cos (bx) dx$ and of
Similar Integrals (in {Technical Notes and Short
Papers})",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "330--332",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cody:1967:CAN,
author = "W. J. Cody and K. E. Hillstrom",
title = "{Chebyshev} Approximations for the Natural Logarithm
of the Gamma Function",
journal = j-MATH-COMPUT,
volume = "21",
number = "98",
pages = "198--203",
month = apr,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1967:MCI,
author = "Henry E. Fettis",
title = "More on the Calculation of the Integral ${I}_n(b) =
\frac{2}{\pi}\int^\infty_0\big(\frac{\sin x}{x}\big)^n
\cos bx dx$ (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "21",
number = "100",
pages = "727--730",
month = oct,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Moody:1967:ADF,
author = "William T. Moody",
title = "Approximations for the Psi (Digamma) Function (in
Technical Notes and Short Notices)",
journal = j-MATH-COMPUT,
volume = "21",
number = "97",
pages = "112--112",
month = jan,
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Fike:1968:CEM,
author = "C. T. Fike",
title = "Computer Evaluation of Mathematical Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 227",
year = "1968",
LCCN = "QA297 .F5",
bibdate = "Thu Sep 1 10:12:51 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
acknowledgement = ack-nj,
}
@Article{Galant:1968:HAG,
author = "D. C. Galant and P. F. Byrd",
title = "High Accuracy Gamma Function Values for Some Rational
Arguments (in {Technical Notes and Short Papers})",
journal = j-MATH-COMPUT,
volume = "22",
number = "104",
pages = "885--887",
month = oct,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Book{Hart:1968:CAa,
author = "John F. Hart and E. W. Cheney and Charles L. Lawson
and Hans J. Maehly and Charles K. Mesztenyi and John R.
Rice and Henry G. {Thatcher, Jr.} and Christoph
Witzgall",
title = "Computer Approximations",
publisher = pub-REK,
address = pub-REK:adr,
pages = "x + 343",
year = "1968",
ISBN = "0-88275-642-7",
ISBN-13 = "978-0-88275-642-4",
LCCN = "QA 297 C64 1978",
bibdate = "Tue Dec 14 22:55:11 1993",
note = "Reprinted 1978 with corrections.",
acknowledgement = ack-nhfb,
}
@Book{Hart:1968:CAb,
author = "John F. Hart and E. W. Cheney and Charles L. Lawson
and Hans J. Maehly and Charles K. Mesztenyi and John R.
Rice and Henry G. {Thatcher, Jr.} and Christoph
Witzgall",
title = "Computer Approximations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 343",
year = "1968",
ISBN = "0-471-35630-1",
ISBN-13 = "978-0-471-35630-1",
LCCN = "????",
bibdate = "Sat Jan 14 14:53:06 2006",
acknowledgement = ack-nhfb,
}
@Article{Nagashima:1968:EFN,
author = "Takashi Nagashima",
title = "On elementary functions of natural numbers",
journal = "Hitotsubashi J. Arts Sci.",
volume = "9",
pages = "50--58",
year = "1968",
ISSN = "0073-2788",
MRclass = "02.72",
MRnumber = "MR0232678 (38 \#1001)",
MRreviewer = "R. L. Goodstein",
fjournal = "Hitotsubashi Journal of Arts \& Sciences",
}
@Article{Richardson:1968:SUP,
author = "Daniel Richardson",
title = "Some Undecidable Problems Involving Elementary
Functions of a Real Variable",
journal = j-J-SYMBOLIC-LOGIC,
volume = "33",
number = "4",
pages = "514--520",
month = dec,
year = "1968",
CODEN = "JSYLA6",
ISSN = "0022-4812",
MRclass = "02.75",
MRnumber = "39 #1330",
bibdate = "Mon May 19 13:04:20 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Wrench:1968:CTS,
author = "John W. {Wrench, Jr.}",
title = "Concerning Two Series for the Gamma Function",
journal = j-MATH-COMPUT,
volume = "22",
number = "103",
pages = "617--626",
month = jul,
year = "1968",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Carlson:1969:CBE,
author = "B. C. Carlson",
title = "A connection between elementary functions and higher
transcendental functions",
journal = j-SIAM-J-APPL-MATH,
volume = "17",
pages = "116--148",
year = "1969",
CODEN = "SMJMAP",
ISSN = "0036-1399",
MRclass = "33.20 (30.00)",
MRnumber = "40 \#408",
MRreviewer = "S. K. Bose",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InProceedings{Clark:1969:SCE,
author = "N. W. Clark and W. J. Cody",
title = "Self-contained exponentiation",
crossref = "AFIPS:1969:ACPb",
pages = "701--706",
year = "1969",
bibdate = "Wed Sep 07 10:49:33 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nj,
}
@Article{Herman:1969:NHE,
author = "G. T. Herman",
title = "A new hierarchy of elementary functions",
journal = j-PROC-AM-MATH-SOC,
volume = "20",
pages = "557--562",
year = "1969",
CODEN = "PAMYAR",
ISSN = "0002-9939",
MRclass = "02.77",
MRnumber = "40 \#4110",
MRreviewer = "G. E. Sacks",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lewis:1969:FII,
author = "Richard L. Lewis",
title = "On Finite Integrals Involving Trigonometric, {Bessel},
and {Legendre} Functions",
journal = j-MATH-COMPUT,
volume = "23",
number = "106",
pages = "259--273",
month = apr,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Tesler:1969:AEF,
author = "G. S. Tesler",
booktitle = "Mathematical provisioning of electronic digital
computers and effective organization of the computing
process (Proc. Sem., Kiev, 1969) ({Russian}), No. 2",
title = "The approximation of elementary functions by means of
polynomials of degree zero and one. ({Russian})",
publisher = "Akad. Nauk Ukrain. SSR",
address = "Kiev, USSR",
pages = "75--88",
year = "1969",
MRclass = "65D15",
MRnumber = "45 \#4600",
MRreviewer = "I. Selihova",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Turner:1969:DSC,
author = "L. R. Turner",
title = "Difficulty in {$\sin$\slash$\cos$} Routine",
journal = j-SIGNUM,
volume = "4",
number = "3",
pages = "13--13",
year = "1969",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Thu Feb 15 15:23:23 2007",
acknowledgement = ack-nhfb,
}
@Article{Zaker:1969:CCE,
author = "T. A. Zaker",
title = "Calculation of the complementary error function of
complex argument",
journal = j-J-COMPUT-PHYS,
volume = "4",
number = "3",
pages = "427--430",
month = oct,
year = "1969",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(69)90011-4",
ISSN = "0021-9991",
bibdate = "Thu Dec 04 16:20:39 2008",
acknowledgement = ack-nhfb,
}
@TechReport{DeLugish:1970:CAA,
author = "Bruce Gene DeLugish",
title = "A Class of Algorithms for Automatic Evaluation of
Certain Elementary Functions in a Binary Computer",
number = "399",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
pages = "191",
year = "1970",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Kolbig:1970:CZI,
author = "K. S. Kolbig",
title = "Complex Zeros of an Incomplete {Riemann} Zeta Function
and of the Incomplete Gamma Function",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "679--696",
month = jul,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@TechReport{Lugish:1970:CAA,
author = "B. G. de Lugish",
title = "A Class of Algorithms for Automatic Evaluation of
Certain Elementary Function in a Binary Computer",
type = "Report",
number = "399",
institution = "Department of Computer Science, University of
Illinois",
pages = "????",
month = jun,
year = "1970",
bibdate = "Fri Sep 02 22:49:20 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Ninomiya:1970:BRS,
author = "Ichizo Ninomiya",
title = "Best Rational Starting Approximations and Improved
{Newton} Iteration for the Square Root",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "391--404",
month = apr,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Nagoya Univ., Chikua ku, Japan",
keywords = "computing procedure; function approximation; iterative
methods; Newton iteration; rational approximation;
square root",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Rothmaier:1970:DSB,
author = "B. Rothmaier",
title = "{Dokumentation der Standardfunktionen des
Betriebssystems {Hydra X8}} \toenglish {Documentation}
of the Elementary Functions of the Operating System
{Hydra X8} \endtoenglish",
type = "Interner {Bericht}",
number = "Nr. 70/8",
institution = "Institut f{\"u}r Informatik, Universit{\"a}t
Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1970",
bibdate = "Fri Jun 11 12:37:53 1999",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Bohan:1971:ADC,
author = "K. A. Bohan and K. V. La{\v{s}}{\v{c}}enov",
title = "The analytic definition of certain elementary
functions. ({Russian}) Questions of modern mathematics
and methods of teaching it at institutions of higher
learning",
journal = "Leningrad. Gos. Ped. Inst. U{\v{c}}en. Zap.",
volume = "404",
pages = "59--78",
year = "1971",
MRclass = "26A09",
MRnumber = "55 \#10612",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Cody:1971:SEF,
author = "W. J. Cody",
title = "Software for the Elementary Functions",
crossref = "Rice:1971:MS",
pages = "171--186",
year = "1971",
bibdate = "Thu Sep 15 18:56:47 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Herman:1971:EDH,
author = "G. T. Herman",
title = "The equivalence of different hierarchies of elementary
functions",
journal = "Z. Math. Logik Grundlagen Math.",
volume = "17",
pages = "219--224",
year = "1971",
MRclass = "02.77 (68.00)",
MRnumber = "44 \#6494",
MRreviewer = "D. A. Clarke",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kuki:1971:FEP,
author = "H. Kuki and J. Ascoly",
title = "{FORTRAN} extended-precision library",
journal = j-IBM-SYS-J,
volume = "10",
number = "1",
pages = "39--61",
year = "1971",
coden = "IBMSA7",
ISSN = "0018-8670",
bibdate = "Thu Sep 15 18:51:32 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt,
ftp://ftp.math.utah.edu/pub/tex/bib/ibmsysj.bib,
ftp://ftp.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nj,
xxmonth = "(none)",
}
@InCollection{Kuki:1971:MFS,
author = "H. Kuki",
title = "Mathematical Function Subprograms for Basic System
Libraries{}\emdash Objectives, Constraints, and
Trade-Off",
crossref = "Rice:1971:MS",
pages = "187--199",
year = "1971",
bibdate = "Fri Sep 16 16:27:40 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
acknowledgement = ack-nj,
}
@Article{Liron:1971:ISR,
author = "N. Liron",
title = "Infinite Sums of Roots for a Class of Transcendental
Equations and {Bessel} Functions of Order One-Half",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "769--781",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Luke:1971:MTBa,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "323--330",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Luke:1971:MTBb,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions, {II}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "789--795",
month = oct,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Matta:1971:UCE,
author = "F. Matta and A. Reichel",
title = "Uniform Computation of the Error Function and Other
Related Functions",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "339--344",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@PhdThesis{Rothmaier:1971:BEF,
author = "B. Rothmaier",
title = "{Die Berechnung der elementaren Funktionen mit
beliebiger Genauigkeit} \toenglish {The Computation of
Elementary Functions with Arbitrary Accuracy}
\endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1971",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Spellucci:1971:DPA,
author = "P. Spellucci",
title = "Double precision approximations to the elementary
functions using {Jacobi-fractions}",
journal = j-NUM-MATH,
volume = "18",
pages = "127--143",
year = "1971/1972",
CODEN = "NUMMA7",
ISSN = "0029-599X",
MRclass = "65D20",
MRnumber = "45 \#7938",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Spira:1971:CGF,
author = "Robert Spira",
title = "Calculation of the Gamma Function by {Stirling}'s
Formula",
journal = j-MATH-COMPUT,
volume = "25",
number = "114",
pages = "317--322",
month = apr,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Walther:1971:UAE,
author = "J. S. Walther",
title = "A unified algorithm for elementary functions",
crossref = "AFIPS:1971:ACP",
volume = "38",
pages = "379--385",
year = "1971",
bibdate = "Thu Sep 1 10:15:31 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Book{Bark:1972:MTF,
author = "L. S. Bark",
title = "{\cyr Mnogoznachnye tablitsy {\`e}lementarnykh
funktsi{\u{\i}}} (${\rm sin} x$, ${\rm cos} x$, $e^{x}$
{\cyr i} $e^{-x}$). ({Russian}) [Multiplace tables of
the elementary functions (${\rm sin}\ x$, ${\rm cos}\
x$, $e^{x}$ and $e^{-x}$)]",
publisher = "Vy{\v{c}}isl. Centr Akad. Nauk SSSR",
address = "Moscow, USSR",
edition = "Second, unrevised",
pages = "134",
year = "1972",
MRclass = "65A05",
MRnumber = "50 \#6100",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
note = "Tables processed and text translated from the English
by L. S. Bark. Library of Mathematical Tables, No. 9.
1972",
acknowledgement = ack-nhfb,
}
@Article{Carlson:1972:ACL,
author = "B. C. Carlson",
title = "An algorithm for computing logarithms and
arctangents",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "543--549",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Iowa State Univ., Ames, IA, USA",
keywords = "acceleration; arctangents; auxiliary; Borchardt's
algorithm; convergence; fast; function approximation;
functions; inverse circular functions; inverse
hyperbolic; iterative algorithm; logarithms; numerical
methods; rational operations; recurrence relation;
square roots",
treatment = "T Theoretical or Mathematical",
}
@Article{Chen:1972:ACE,
author = "Tien Chi Chen",
title = "Automatic Computation of Exponentials, Logarithms,
Ratios and Square Roots",
journal = j-IBM-JRD,
volume = "16",
number = "4",
pages = "380--388",
month = jul,
year = "1972",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "65D20",
MRnumber = "49 \#1738",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
URL = "http://www.research.ibm.com/journal/rd/164/chen.pdf",
abstract = "It is shown how a relatively simple device can
evaluate exponentials, logarithms, ratios and square
roots for fraction arguments, employing only shifts,
adds, high-speed table lookups, and bit counting. The
scheme is based on the cotransformation of a number
pair $(x, y)$ such that the $F(x, y) = f(x_0)$ is
invariant; when $x$ is driven towards a known value
$x_w$, $y$ is driven towards the result. For an $N$-bit
fraction about $N / 4$ iterations are required, each
involving two or three adds; then a termination
algorithm, based on an add and an abbreviated multiply,
completes the process, for a total cost of about one
conventional multiply time. Convergence, errors and
simulation using APL are discussed.",
acknowledgement = ack-nhfb # " and " # ack-nj,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "IBM, San Jose, CA, USA",
keywords = "adds; APL; bit counting; convergence;
cotransformation; digital arithmetic; errors;
exponentials; high speed table; iteration; logarithms;
lookups; ratios; shifts; simulation; square roots;
termination algorithm",
reviewer = "F. Gotze",
treatment = "P Practical",
}
@TechReport{Ercegovac:1972:RES,
author = "Milos D. Ercegovac",
title = "Radix 16 Evaluation of Some Elementary Functions",
number = "540",
institution = "Department of Computer Science, University of Illinois
at Urbana-Champaign",
address = "Urbana, Illinois",
pages = "30",
year = "1972",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Hunter:1972:NEC,
author = "D. B. Hunter and T. Regan",
title = "A note on the evaluation of the complementary error
function",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "539--541",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Bradford, UK",
keywords = "complementary error function; complex variable;
evaluation; integration; method of Matta and Reichel;
modification; numerical; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Kolbig:1972:ZIG,
author = "K. S. Kolbig",
title = "On the Zeros of the Incomplete Gamma Function",
journal = j-MATH-COMPUT,
volume = "26",
number = "119",
pages = "751--755",
month = jul,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "asymptotic formulae; complex w plane; function
approximation; incomplete gamma function; poles and
zeros; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Ling:1972:EM,
author = "Chih-Bing Ling and Jung Lin",
title = "On Evaluation of Moments of ${K}_\nu(t)/{I}_\nu(t)$",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "529--537",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Virginia Politech. Inst., Blacksburg, VA, USA",
keywords = "evaluation; K/sub nu/(t)/I/sub; moments; nu/(t);
numerical methods; Watson's method",
treatment = "T Theoretical or Mathematical",
}
@Article{Linz:1972:MCB,
author = "Peter Linz",
title = "A Method for Computing {Bessel} Function Integrals",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "509--513",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Univ. California, Davis, CA, USA",
keywords = "Abel; Bessel function integrals; Fourier integrals;
infinite integrals; integration; numerical computation;
transform",
treatment = "T Theoretical or Mathematical",
}
@Article{Luke:1972:MTB,
author = "Yudell L. Luke",
title = "Miniaturized Tables of {Bessel} Functions. {III}",
journal = j-MATH-COMPUT,
volume = "26",
number = "117",
pages = "237--240",
month = jan,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Univ. Missouri, Kansas City, KS, USA",
keywords = "Bessel functions; miniaturized tables; numerical
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{MacKinnon:1972:AEH,
author = "Robert F. MacKinnon",
title = "The asymptotic expansions of {Hankel} transforms and
related integrals",
journal = j-MATH-COMPUT,
volume = "26",
number = "118",
pages = "515--527",
month = apr,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Defence Res. Establ., Pacific, Victoria, BC, Canada",
keywords = "asymptotic expansions; Bessel; functions; Hankel
transforms; integrals; transforms",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Manos:1972:CCA,
author = "Paul Manos and L. Richard Turner",
title = "Constrained {Chebyshev} approximations to some
elementary functions suitable for evaluation with
floating-point arithmetic",
type = "{NASA} Technical Note",
number = "TN D-6698",
institution = "NASA",
address = "Washington, DC, USA",
pages = "iii + 68",
month = mar,
year = "1972",
bibdate = "Mon May 22 11:27:24 2006",
URL = "http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19720010958_1972010958.pdf",
acknowledgement = ack-nhfb,
}
@Article{Marino:1972:NAA,
author = "D. Marino",
title = "New Algorithms for the Approximate Evaluation in
Hardware of Binary Logarithms and Elementary
Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "21",
number = "12",
pages = "1416--1421",
month = dec,
year = "1972",
CODEN = "ITCOB4",
ISSN = "0018-9340",
bibdate = "Thu Sep 08 08:05:51 1994",
acknowledgement = ack-nj,
}
@Article{Olver:1972:NBR,
author = "F. W. J. Olver and D. J. Sookne",
title = "Note on Backward Recurrence Algorithms",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "941--947",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Univ. Maryland, College Park, MD, USA",
keywords = "backward recurrence algorithms; Bessel; Bessel
functions; difference equations; functions; recessive
solution; second order linear difference equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Parnes:1972:CZM,
author = "R. Parnes",
title = "Complex zeros of the modified {Bessel} function
{$K_n(Z)$}",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "949--953",
month = oct,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "City Univ., New York, NY, USA",
keywords = "and zeros; Bessel functions; complex zeros;
interpolation; interpolation scheme; iterative;
iterative methods; modified Bessel function; poles",
treatment = "T Theoretical or Mathematical",
}
@Article{Turunov:1972:EFD,
author = "M. Turunov",
title = "Elementary functions of a discrete real and complex
argument. ({Russian})",
journal = "Ta{\v{s}}kent. Gos. Univ. Nau{\v{c}}n. Trudy",
volume = "418 Voprosy Mat.",
pages = "263--271, 386",
year = "1972",
MRclass = "30A95",
MRnumber = "50 \#13556",
MRreviewer = "G. Berzsenyi",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Baker:1973:PAS,
author = "P. W. Baker",
title = "Predictive algorithms for some elementary functions in
radix $2$",
journal = j-ELECT-LETTERS,
volume = "9",
pages = "493--494",
year = "1973",
CODEN = "ELLEAK",
ISBN = "0013-5194",
ISBN-13 = "0013-5194",
ISSN = "0013-5194",
MRclass = "68A10",
MRnumber = "57 \#18203",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cody:1973:CAP,
author = "W. J. Cody and Anthony J. Strecok and Henry C.
{Thacher, Jr.}",
title = "{Chebyshev} Approximations for the Psi Function",
journal = j-MATH-COMPUT,
volume = "27",
number = "121",
pages = "123--127",
month = jan,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65-06 (68-06)",
MRnumber = "50 6095",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Argonne Nat. Lab., IL, USA",
keywords = "Chebyshev approximation; Chebyshev approximations;
digamma function; psi function",
treatment = "T Theoretical or Mathematical",
}
@Article{Ercegovac:1973:REC,
author = "M. D. Ercegovac",
title = "Radix-16 Evaluation of Certain Elementary Functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-22",
number = "6",
pages = "561--566",
month = jun,
year = "1973",
CODEN = "ITCOB4",
ISSN = "0018-9340",
bibdate = "Thu Sep 1 10:15:39 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Fettis:1973:CZE,
author = "Henry E. Fettis and James C. Caslin and Kenneth R.
Cramer",
title = "Complex zeros of the error function and of the
complementary error function",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "401--407",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Wright-Patterson Air Force Base, OH, USA",
keywords = "asymptotic formula; complementary error function;
complex zeros; error function; errors; first one
hundred zeros; function evaluation; poles and zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Fettis:1973:SPC,
author = "Henry E. Fettis and James C. Caslin and Kenneth R.
Cramer",
title = "Saddle Points of the Complementary Error Function",
journal = j-MATH-COMPUT,
volume = "27",
number = "122",
pages = "409--412",
month = apr,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
keywords = "asymptotic; complementary error function; errors;
formula; function evaluation; poles and zeros; saddle
points",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Hemker:1973:SDL,
author = "P. W. Hemker and W. Hoffmann and S. P. N. {van Kampen}
and H. L. Oudshoorn and D. T. Winter",
title = "Single- and double-length computation of elementary
functions",
number = "NW 7",
institution = "Mathematical Centre",
address = "Amsterdam",
year = "1973",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/h/hemker-pieter-w.bib",
acknowledgement = ack-nhfb,
}
@Article{Linz:1973:NCI,
author = "Peter Linz and T. E. Kropp",
title = "A note on the computation of integrals involving
products of trigonometric and {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "871--872",
month = oct,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. California, Davies, CA, USA",
keywords = "Bessel functions; computation; integration; numerical;
numerical methods; products; trigonometric",
treatment = "T Theoretical or Mathematical",
}
@Article{Lozier:1973:BCP,
author = "D. W. Lozier and L. C. Maximon and W. L. Sadowski",
title = "A bit comparison program for algorithm testing",
journal = j-COMP-J,
volume = "16",
number = "2",
pages = "111--117",
month = may,
year = "1973",
CODEN = "CMPJA6",
ISSN = "0010-4620",
bibdate = "Fri Sep 29 08:52:11 MDT 2000",
bibsource = "http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/",
URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/160111.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/111.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/112.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/113.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/114.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/115.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/116.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_16/Issue_02/tiff/117.tif",
acknowledgement = ack-nhfb,
classcodes = "C6150G (Diagnostic, testing, debugging and evaluating
systems)",
corpsource = "Nat. Bur. Stand., Washington, DC, USA",
keywords = "accuracy; algorithm testing; bit comparison program;
computer algorithms; program debugging",
treatment = "P Practical",
}
@Article{McNolty:1973:SPD,
author = "Frank McNolty",
title = "Some probability density functions and their
characteristic functions",
journal = j-MATH-COMPUT,
volume = "27",
number = "123",
pages = "495--504",
month = jul,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0240 (Probability and statistics); C1140 (Probability
and statistics)",
corpsource = "Lockheed Palo Alto Res. Lab., CA, USA",
keywords = "Bessel function; characteristic functions; functions;
hypergeometric function; probability; probability
density functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Amos:1974:CMB,
author = "D. E. Amos",
title = "Computation of modified {Bessel} functions and their
ratios",
journal = j-MATH-COMPUT,
volume = "28",
number = "125",
pages = "239--251",
month = jan,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Sandia Labs., Albuquerque, NM, USA",
keywords = "Bessel functions; computation; low order Bessel
functions; modified Bessel functions; monotonicity;
properties; ratios; recursion; relation",
treatment = "T Theoretical or Mathematical",
}
@Article{Blair:1974:RCA,
author = "J. M. Blair",
title = "Rational {Chebyshev} approximations for the modified
{Bessel} functions {$I_0(x)$} and {$I_1(x)$}",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "581--583",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Atomic Energy Canada Ltd., Chalk River, Ont., Canada",
keywords = "Chebyshev approximation; functions; modified Bessel;
nearly best rational approximations; rational Chebyshev
approximations; series (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Buschman:1974:FSR,
author = "R. G. Buschman",
title = "Finite sum representations for partial derivatives of
special functions with respect to parameters",
journal = j-MATH-COMPUT,
volume = "28",
number = "127",
pages = "817--824",
month = jul,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. Wyoming, Laramie, WY, USA",
keywords = "Bessel functions; differentiation; finite sum
representations; finite sums; functions; G function;
Gegenbauer functions; hypergeometric; Legendre; Mellin
transformation; partial derivatives; special functions;
Whittaker functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Fettis:1974:SAC,
author = "Henry E. Fettis",
title = "A stable algorithm for computing the inverse error
function in the `tail-end' region",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "585--587",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Wright-Patterson Air Force Base, OH, USA",
keywords = "function evaluation; inverse error function; iterative
algorithm; stability; stable algorithm; tail end
region",
treatment = "T Theoretical or Mathematical",
}
@Article{Glasser:1974:SDI,
author = "M. L. Glasser",
title = "Some definite integrals of the product of two {Bessel}
functions of the second kind: (order zero)",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "613--615",
month = apr,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Battelle Memorial Inst., Columbus, OH, USA",
keywords = "Bessel functions; definite integrals; evaluate;
function evaluation; integral representation; order;
second kind; zero",
treatment = "T Theoretical or Mathematical",
}
@Article{Nasell:1974:IMB,
author = "Ingemar Nasell",
title = "Inequalities for Modified {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "28",
number = "125",
pages = "253--256",
month = jan,
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Bell Labs., Holmdel, NJ, USA",
keywords = "Bessel functions; inequalities; modified Bessel
functions; sharp versions",
treatment = "T Theoretical or Mathematical",
}
@Article{Pisarskii:1974:QCD,
author = "A. V. Pisarski{{\u{\i}}} and A. F. Kurgaev and A. V.
Palagin",
title = "On the question of the convergence of the {``digit by
digit''} methods of computing the elementary
functions",
journal = "Kibernetika (Kiev)",
volume = "4",
pages = "147--149",
year = "1974",
CODEN = "KBRNA5",
ISSN = "0023-1274",
MRclass = "65D20",
MRnumber = "53 \#1915",
MRreviewer = "V. V. Ivanov",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wang:1974:UEZ,
author = "Paul S. Wang",
title = "The Undecidability of the Existence of Zeros of Real
Elementary Functions",
journal = j-J-ACM,
volume = "21",
number = "4",
pages = "586--589",
month = oct,
year = "1974",
CODEN = "JACOAH",
ISSN = "0004-5411",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database,
ftp://ftp.ira.uka.de/pub/bibliography/Math/hilbert10.bib",
abstract = "From Richardson's undecidability results, it is shown
that the predicate ``there exists a real number such
that G(r) equals 0'' is recursively undecidable for
G(x) in a class of functions which involves polynomials
and the sine function. The deduction follows that the
convergence of a class of improper integrals is
recursively undecidable.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "J Assoc Comput Mach",
keywords = "mathematical techniques",
}
@Article{Baker:1975:MER,
author = "P. W. Baker",
title = "More efficient radix-$2$ algorithms for some
elementary functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-24",
number = "11",
pages = "1049--1054",
month = nov,
year = "1975",
CODEN = "ITCOB4",
ISSN = "0018-9340",
MRclass = "68A10",
MRnumber = "52 \#7193",
MRreviewer = "I. Kaufmann",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb,
}
@TechReport{Brent:1975:MZM,
author = "R. P. (Richard P.) Brent",
title = "Multiple-precision zero-finding methods and the
complexity of elementary function evaluation",
institution = "Department of Computer Science, Carnegie-Mellon
University",
address = "Pittsburgh, PA, USA",
pages = "26",
year = "1975",
bibdate = "Sat Jan 11 10:14:06 MST 1997",
acknowledgement = ack-nhfb,
keywords = "Iterative methods (Mathematics)",
searchkey = "ti:elementary n1 function",
}
@Article{Carta:1975:LOA,
author = "David G. Carta",
title = "Low-Order Approximations for the Normal Probability
Integral and the Error Function",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "856--862",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290R (Integral
equations); C1180 (Optimisation techniques); C4180
(Integral equations)",
corpsource = "Jet Propulsion Lab., California Inst. of Technol.,
Pasadena, CA, USA",
keywords = "error function; fraction; integral equations; linear
minimax problems; linear programming; low; normal
probability integral; order approximations;
polynomials; rational",
treatment = "T Theoretical or Mathematical",
}
@PhdThesis{Epstein:1975:AET,
author = "Harvey Irwin Epstein",
title = "Algorithms for elementary transcendental function
arithmetic",
school = "University of Wisconsin",
address = "Madison, WI, USA",
pages = "409",
year = "1975",
bibdate = "Sat Jan 11 10:14:06 MST 1997",
acknowledgement = ack-nhfb,
annote = "Typescript. Vita. Thesis (Ph. D.)--University of
Wisconsin--Madison, 1975.",
keywords = "Functions, Transcendental.; Algorithms.; Functions --
Data processing.",
searchkey = "ti:elementary n1 function",
}
@Article{Headley:1975:DZG,
author = "V. B. Headley and V. K. Barwell",
title = "On the distribution of the zeros of generalized {Airy}
functions",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "863--877",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Brock Univ., St. Catherines, Ont.,
Canada",
keywords = "Bessel functions; boundary rays; differential
equations; generalized Airy functions; nonreal zeros;
zeros distribution",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Hitotumatu:1975:SRU,
author = "Sin Hitotumatu",
title = "Some remarks on the unified treatment of elementary
functions by microprogramming",
crossref = "Miller:1975:TNA",
pages = "51--56 (vol. 2)",
year = "1975",
MRclass = "65D15",
MRnumber = "54 \#11733",
MRreviewer = "Luciano Biasini",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ikebe:1975:ZRC,
author = "Yasuhiko Ikebe",
title = "The Zeros of Regular {Coulomb} Wave Functions and of
Their Derivatives",
journal = j-MATH-COMPUT,
volume = "29",
number = "131",
pages = "878--887",
month = jul,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Centre Numerical Analysis, Univ. of Texas, Austin, TX,
USA",
keywords = "Bessel function; compact matrix; eigenvalues;
eigenvalues and eigenfunctions; function zeros
characterisation; matrix algebra; methods; numerical;
operators; regular Coulomb wave functions; wave
functions; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Ng:1975:CCM,
author = "Edward W. Ng",
title = "A Comparison of Computational Methods and Algorithms
for the Complex Gamma Function",
journal = j-TOMS,
volume = "1",
number = "1",
pages = "56--70",
month = mar,
year = "1975",
CODEN = "ACMSCU",
DOI = "http://doi.acm.org/10.1145/355626.355635",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "52 #2148",
bibdate = "Fri Aug 26 23:44:16 1994",
acknowledgement = ack-nhfb,
reviewer = "R. H. Bartels",
}
@Article{Temme:1975:UAE,
author = "N. M. Temme",
title = "Uniform asymptotic expansions of the incomplete gamma
functions and the incomplete beta function",
journal = j-MATH-COMPUT,
volume = "29",
number = "132",
pages = "1109--1114",
month = oct,
year = "1975",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Appl. Math., Amsterdam, Netherlands",
keywords = "asymptotic expansions; asymptotic series;
complementary error function; function approximation;
incomplete beta function; incomplete gamma functions;
uniform",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Warner:1975:PDG,
author = "D. D. Warner",
title = "A partial derivative generator",
type = "Computing Science Technical Report",
number = "28",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
year = "1975",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "Theory/auto.diff.bib",
abstract = "A precompiler is described which takes a specification
of a function as input and produces a Fortran
subroutine which will evaluate the component functions
and the corresponding Jacobian. Many of the Fortran
elementary functions are provided, as well as a
facility which allows the user to specify their own
differentiation rules.",
acknowledgement = ack-nhfb,
keywords = "differentiation arithmetic; precompiler.",
referred = "[Carl86a]; [Hali83a]; [Hill82a]; [Spee80a].",
}
@Article{Blair:1976:RCA,
author = "J. M. Blair and C. A. Edwards and J. H. Johnson",
title = "Rational {Chebyshev} approximations for the inverse of
the error function",
journal = j-MATH-COMPUT,
volume = "30",
number = "136",
pages = "827--830",
month = oct,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Atomic Energy of Canada Ltd., Chalk River Nuclear
Lab., Chalk River, Ont., Canada",
keywords = "Chebyshev approximation; Chebyshev approximations;
error function; inverse; rational",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1976:FMP,
author = "Richard P. Brent",
title = "Fast Multiple-Precision Evaluation of Elementary
Functions",
journal = j-J-ACM,
volume = "23",
number = "2",
pages = "242--251",
month = apr,
year = "1976",
CODEN = "JACOAH",
DOI = "http://doi.acm.org/10.1145/321941.321944",
ISSN = "0004-5411",
MRclass = "68A20 (68A10)",
MRnumber = "52 \#16111",
MRreviewer = "Amnon Barak",
bibdate = "Wed Jan 15 18:12:53 MST 1997",
bibsource = "Compendex database; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
abstract = "Let $f(x)$ be one of the usual elementary functions
($\exp$, $\log$, $\artan$, $\sin$, $\cosh$, etc.), and
let $M(n)$ be the number of single-precision operations
required to multiply $n$-bit integers. It is shown that
$f(x)$ can be evaluated, with relative error $O(2-n)$,
in $O(M(n)log (n))$ operations as $n \rightarrow
\infty$, for any floating-point number $x$ (with an
$n$-bit fraction) in a suitable finite interval. From
the Sch{\"o}nhage--Strassen bound on $M(n)$, it follows
that an $n$-bit approximation to $f(x)$ may be
evaluated in $O(n \log_(n) \log \log(n))$ operations.
Special cases include the evaluation of constants such
as $\pi$ $e$, and $e^\pi$. The algorithms depend on the
theory of elliptic integrals, using the
arithmetic-geometric mean iteration and ascending
Landen transformations.",
acknowledgement = ack-nhfb,
classification = "723",
journalabr = "J Assoc Comput Mach",
keywords = "computational complexity; computer arithmetic;
computer programming",
}
@InProceedings{Brent:1976:MPZ,
author = "Richard P. Brent",
title = "Multiple-precision zero-finding methods and the
complexity of elementary function evaluation",
crossref = "Traub:1976:ACC",
pages = "151--176",
year = "1976",
MRclass = "68A20",
MRnumber = "54 \#11843",
MRreviewer = "Claus-Peter Schnorr",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Buschman:1976:IHF,
author = "R. G. Buschman",
title = "Inequalities for Hypergeometric Functions",
journal = j-MATH-COMPUT,
volume = "30",
number = "134",
pages = "303--305",
month = apr,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math. and Statistics, Univ. of Guelph,
Guelph, Ont., Canada",
keywords = "Bessel functions; classical orthogonal polynomials;
confluence; dominant diagonal matrix; function;
functions; Gauss' hypergeometric; hypergeometric
functions; Kummer's hypergeometric function; modified
Bessel function; principle",
treatment = "T Theoretical or Mathematical",
}
@Article{Ellacott:1976:RCA,
author = "S. Ellacott and Jack Williams",
title = "Rational {Chebyshev} Approximation in the Complex
Plane",
journal = j-SIAM-J-NUMER-ANAL,
volume = "13",
number = "3",
pages = "310--323",
month = jun,
year = "1976",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1976:CR,
author = "Henry E. Fettis",
title = "Complex Roots of $\sin z = az, \cos z = az$, and
$\cosh z = az$",
journal = j-MATH-COMPUT,
volume = "30",
number = "135",
pages = "541--545",
month = jul,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
keywords = "complex roots; cos z=az; cosh z=az; functional
equations; sin z=az",
treatment = "T Theoretical or Mathematical",
}
@Article{Kononova:1976:CEF,
author = "N. F. Kononova",
title = "The computation of elementary functions by means of
polynomial approximations by the method of {V. K.
Dzjadik}. ({Russian})",
journal = "Vy{\v{c}}isl. Prikl. Mat. (Kiev)",
volume = "29",
pages = "27--39",
year = "1976",
ISSN = "0321-4117",
MRclass = "151. 65D15",
MRnumber = "57 \#18026",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Paul:1976:SEF,
author = "George Paul and M. Wayne Wilson",
title = "Should the Elementary Function Library Be Incorporated
Into Computer Instruction Sets?",
journal = j-TOMS,
volume = "2",
number = "2",
pages = "132--142",
month = jun,
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Sat Aug 27 00:30:21 1994",
acknowledgement = ack-nhfb,
}
@InCollection{Salimov:1976:OCE,
author = "F. I. Salimov",
booktitle = "Probabilistic methods and cybernetics",
title = "The organization of calculations of elementary
functions into tables. ({Russian})",
volume = "12--13",
publisher = "Kazan. Univ.,",
address = "Kazan, USSR",
pages = "77--90",
year = "1976",
MRclass = "65A05",
MRnumber = "58 \#31706",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Siemieniuch:1976:PCR,
author = "J. L. Siemieniuch",
title = "Properties of certain rational approximations to
$e^{-z}$",
journal = j-BIT,
volume = "16",
number = "2",
pages = "172--191",
month = jun,
year = "1976",
CODEN = "BITTEL, NBITAB",
DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01931369",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
bibdate = "Wed Jan 4 18:52:14 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=16&issue=2",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=16&issue=2&spage=172",
acknowledgement = ack-nhfb,
keywords = "elefunt; elementary functions",
}
@Article{Danilcenko:1977:ETC,
author = "L. S. Danil'{\v{c}}enko",
title = "An efficient technique for the construction of
rational approximations of elementary functions.
({Russian}) Optimization of computations (approximation
and minimization of functions)",
journal = "Akad. Nauk Ukrain. SSR Inst. Kibernet. Preprint",
volume = "18",
pages = "17--21",
year = "1977",
MRclass = "65D15",
MRnumber = "80b:65016",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@TechReport{Dzjadyk:1977:TPA,
author = "V. K. Dzjadyk and S. F. Karpenko",
title = "Tables of polynomials for the approximate solution of
elementary functions. ({Russian})",
number = "28",
institution = "Akad. Nauk Ukrain. SSR Inst. Mat. Preprint",
pages = "28",
year = "1977",
MRclass = "65A05 (65D20)",
MRnumber = "58 \#19016",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@TechReport{Dzyadyk:1977:OPM,
author = "V. K. Dzjadyk and Z. V. Zarickaja and S. F. Karpenko
and N. F. Kononova",
title = "{\cyr Ob {\`e}ffektivnom priblizhenii mnogochlenami
{\`e}lementarnykh funktsi{\u{\i}}.} ({Russian})
[Efficient approximation by polynomials of elementary
functions]",
type = "Preprint",
number = "IM-77-21",
institution = "Akad. Nauk Ukrain. SSR Inst. Mat.",
address = "Kiev, USSR",
pages = "42",
year = "1977",
MRclass = "65L99",
MRnumber = "57 \#11075",
MRreviewer = "B. D. Donevski",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1977:ACC,
author = "Walter Gautschi",
title = "Anomalous convergence of a continued fraction for
ratios of {Kummer} functions",
journal = j-MATH-COMPUT,
volume = "31",
number = "140",
pages = "994--999",
month = oct,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Mathematical analysis); C4170 (Differential
equations)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
keywords = "apparent; Bessel functions; continued fraction;
convergence; differential equations; gamma functions;
Kummer functions; wrong limit",
treatment = "T Theoretical or Mathematical",
}
@Article{McCarthy:1977:OAE,
author = "D. P. McCarthy",
title = "The optimal algorithm to evaluate $x^n$ using
elementary multiplication methods",
journal = j-MATH-COMP,
volume = "31",
number = "137",
pages = "251--256",
month = jan,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis); C4240 (Programming and
algorithm theory)",
keywords = "computational complexity; function evaluation; optimal
multiplication chains; symbolic algebraic
manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Pexton:1977:RTTa,
author = "Robert L. Pexton and Arno D. Steiger",
title = "Roots of two transcendental equations involving
spherical {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "31",
number = "139",
pages = "752--753",
month = jul,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
corpsource = "Univ. of California, Livermore, CA, USA",
keywords = "Bessel functions; root; spherical Bessel functions;
transcendental equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Andrews:1978:UEF,
author = "M. Andrews and T. Mraz",
title = "Unified elementary function generator",
journal = j-MICROPROC-MICROSYS,
volume = "2",
number = "5",
pages = "270--273",
month = oct,
year = "1978",
CODEN = "MIMID5",
ISSN = "0141-9331",
bibdate = "Thu Sep 1 10:15:39 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Benton:1978:CZT,
author = "T. C. Benton and H. D. Knoble",
title = "Common Zeros of Two {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "533--535",
month = apr,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
corpsource = "Pennsylvania State Univ., University Park, PA, USA",
keywords = "Bessel functions; common zeros; poles and zeros;
positive zeros; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Blair:1978:RCA,
author = "J. M. Blair and C. A. Edwards and J. H. Johnson",
title = "Rational {Chebyshev} approximations for the {Bickley}
functions {$Ki_n(x)$}",
journal = j-MATH-COMPUT,
volume = "32",
number = "143",
pages = "876--886",
month = jul,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Atomic Energy of Canada Ltd., Chalk River, Ont.,
Canada",
keywords = "approximation; Bessel functions; Bickley functions;
Chebyshev approximation; Chebyshev approximations;
function; recurrence; relation",
treatment = "T Theoretical or Mathematical",
}
@Article{Chin:1978:DAD,
author = "R. C. Y. Chin and G. W. Hedstrom",
title = "A dispersion analysis for difference schemes: tables
of generalized {Airy} functions",
journal = j-MATH-COMPUT,
volume = "32",
number = "144",
pages = "1163--1170",
month = oct,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4170 (Differential equations)",
corpsource = "Univ. of California, Lawrence Livermore Lab.,
Livermore, CA, USA",
keywords = "artificial viscosity; difference schemes; dispersion
analysis; function approximation; functions;
generalized Airy; linear hyperbolic equation",
treatment = "T Theoretical or Mathematical",
}
@Article{DiDonato:1978:AR,
author = "A. R. DiDonato",
title = "An Approximation for $\int^\infty_x e^{-t^2/2} t^p dt,
x > 0, p$ Real",
journal = j-MATH-COMPUT,
volume = "32",
number = "141",
pages = "271--275",
month = jan,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Naval Surface Weapons Center, Dahlgren, VA, USA",
keywords = "integral approximation; integration; numerical
analysis",
treatment = "A Application; N New Development; T Theoretical or
Mathematical",
}
@Article{Dzjadyk:1978:CRP,
author = "V. K. Dzjadyk and L. \=I. F{\'\i}lozof",
title = "The convergence rate of Pad{\'e} approximants for some
elementary functions. ({Russian})",
journal = "Mat. Sb. (N.S.)",
volume = "107(149)",
number = "3",
pages = "347--363, 463",
year = "1978",
ISSN = "0368-8666",
MRclass = "41A21 (30E10 41A25)",
MRnumber = "81b:41043",
MRreviewer = "B. D. Donevski",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InProceedings{Frankowski:1978:RME,
author = "Krzysztof S. Frankowski",
title = "A Realistic Model for Error Estimates in the
Evaluation of Elementary Functions",
crossref = "IEEE:1978:PSC",
pages = "70--74",
year = "1978",
MRclass = "65G05 (65D20)",
MRnumber = "80g:65050",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1978:CMB,
author = "Walter Gautschi and Josef Slavik",
title = "On the computation of modified {Bessel} function
ratios",
journal = j-MATH-COMPUT,
volume = "32",
number = "143",
pages = "865--875",
month = jul,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Mathematical analysis); C4130 (Interpolation
and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
keywords = "Bessel; Bessel functions; continued fraction;
fraction; function approximation; functions; Gauss'
continued; modified Bessel function ratios; Perron's
continued fraction",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Hull:1978:DFP,
author = "T. E. Hull",
title = "Desirable Floating-Point Arithmetic and Elementary
Functions for Numerical Computation",
crossref = "IEEE:1978:PSC",
pages = "63--69",
year = "1978",
bibdate = "Thu Sep 01 12:14:34 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Pexton:1978:RTT,
author = "Robert L. Pexton and Arno D. Steiger",
title = "Roots of two transcendental equations as functions of
a continuous real parameter",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "511--518",
month = apr,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
corpsource = "Lawrence Livermore Lab., Univ. of California,
Livermore, CA, USA",
keywords = "continuous real parameter; equations; roots; spherical
Bessel functions; transcendental equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Schmidt:1978:EI,
author = "Paul W. Schmidt",
title = "Evaluation of the Integral $\int^\infty_0
\frac{t^{2\alpha-1} J_\nu(x\sqrt{1 + t^2})}{(1 +
t^2)^{\alpha+\beta-1}} dt$",
journal = j-MATH-COMPUT,
volume = "32",
number = "141",
pages = "265--269",
month = jan,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Phys. Dept., Univ. of Missouri, Columbia, MO, USA",
keywords = "cylinder diameter distribution; first kind Bessel
function; integral evaluation; integration; long
circular; neutron scattering data; numerical analysis;
power series expansions; recurrence; relations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Schonfelder:1978:CEE,
author = "J. L. Schonfelder",
title = "{Chebyshev} expansions for the error and related
functions",
journal = j-MATH-COMPUT,
volume = "32",
number = "144",
pages = "1232--1240",
month = oct,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Computer Centre, Univ. of Birmingham, Birmingham, UK",
keywords = "approximations; Chebyshev approximation; Chebyshev
expansions; error analysis; error function; mappings;
NAG library",
treatment = "T Theoretical or Mathematical",
}
@Article{Atkins:1979:FSC,
author = "D. E. Atkins",
title = "{Fourth Symposium on Computer Arithmetic}: crunching
with quality and {LSI}",
journal = j-COMPUTER,
volume = "12",
number = "4",
pages = "94--97",
month = apr,
year = "1979",
CODEN = "CPTRB4",
ISSN = "0018-9162",
bibdate = "Thu Dec 12 07:20:54 MST 1996",
bibsource = "Compendex database",
abstract = "Computer arithmetic problems --- faster computation
rates and more efficient representations of real
numbers --- are considered in the paper. Floating-point
arithmetic standardization, novel implementation of
basic arithmetic operators, evaluation of elementary
functions --- these are the main considerations of the
conference review.",
acknowledgement = ack-nhfb,
classification = "722; 723",
journalabr = "Computer",
keywords = "computer arithmetic; computer systems, digital; data
processing --- data description; mathematical
techniques --- digital arithmetic",
}
@Article{Babb:1979:OEC,
author = "Stanley E. {Babb, Jr.} and James W. Cafky",
title = "Operational evaluation of certain infinite {Bessel}
function integrals",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1033--1039",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "44A99",
MRnumber = "80e:44002",
MRreviewer = "L. Arteaga",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Dept. of Phys. and Astron., Univ. of Oklahoma, Norman,
OK, USA",
keywords = "Bessel function integral; integration; numerical
methods; Schafheitlin method; trigonometric function;
Weber",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Conde:1979:Z,
author = "S. Conde and S. L. Kalla",
title = "The $\nu $-zeros of ${J}_{-\nu }(x)$",
journal = j-MATH-COMPUT,
volume = "33",
number = "145",
pages = "423--426",
month = jan,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "80b:65021",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4190 (Other numerical
methods)",
corpsource = "Facultad de Ingenieria, Univ. del Zulia, Maracaibo,
Venezuela",
keywords = "Bessel function; boundary value; boundary-value
problems; J/sub -v/(x); partial differential equations;
poles and zeros; problems; transforms; v-zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Epstein:1979:STE,
author = "H. I. Epstein and B. F. Caviness",
title = "A structure theorem for the elementary functions and
its application to the identity problem",
journal = j-INT-J-COMPUT-INF-SCI,
volume = "8",
number = "1",
pages = "9--37",
year = "1979",
CODEN = "IJCIAH",
ISSN = "0091-7036",
MRclass = "12H05 (68C05)",
MRnumber = "80k:12032",
MRreviewer = "Michael F. Singer",
bibdate = "Sat Apr 26 12:45:53 1997",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1979:AEU,
author = "Henry E. Fettis",
title = "An asymptotic expansion for the upper percentage
points of the $\chi^{2}$-distribution",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1059--1064",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "62E20",
MRnumber = "80h:62014",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "approximation theory; asymptotic expansion; upper
percentage point",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gabutti:1979:HPM,
author = "Bruno Gabutti",
title = "On high precision methods for computing integrals
involving {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1049--1057",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "80c:65048",
MRreviewer = "K. Jetter",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations); C4240 (Programming and
algorithm theory)",
corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino,
Italy",
keywords = "Bessel function integral; computational complexity;
exponential function integral; integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Glasser:1979:NI,
author = "M. L. Glasser",
title = "A Note on the Integral $\int^\infty_0t^{2\alpha-1}(1 +
t^2)^{1-\alpha-\beta} {J}_\nu(x\sqrt{1 + t^2}) dt$",
journal = j-MATH-COMPUT,
volume = "33",
number = "146",
pages = "792--793",
month = apr,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40",
MRnumber = "80d:33004",
MRreviewer = "T. Erber",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Mathematical analysis); C4180 (Integral
equations)",
corpsource = "Math. and Computer Sci. Dept., Clarkson Coll. of
Technol., Potsdam, NY, USA",
keywords = "Bessel functions; hypergeometric series; integral;
integral equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Johnson:1979:RAF,
author = "Donald B. Johnson and Webb Miller and Brian Minnihan
and Celia Wrathall",
title = "Reducibility Among Floating-Point Graphs",
journal = j-J-ACM,
volume = "26",
number = "4",
pages = "739--760",
month = oct,
year = "1979",
CODEN = "JACOAH",
ISSN = "0004-5411",
MRclass = "65G05",
MRnumber = "80i:65045",
bibdate = "Fri Dec 08 11:55:10 1995",
abstract = "The graph-theoretic models of this paper can be used
to compare the rounding-error behavior of numerical
programs. The models follow the approach, popularized
by Wilkinson, of assuming independent rounding errors
in each arithmetic operation. Models constructed on
this assumption are more tractable than would be the
case under more realistic assumptions. There are
identified two easily tested conditions on programs
which guarantee that error analyses are relatively
insensitive to the particular graph model employed. The
development has the additional benefit of sometimes
providing an elementary proof that one program is
comparable in stability to another. Examples of such
results are given.",
acknowledgement = ack-nhfb,
}
@Article{Leung:1979:AFE,
author = "K. V. Leung and S. S. Ghaderpanah",
title = "An application of the finite element approximation
method to find the complex zeros of the modified
{Bessel} function ${K}_{n}(z)$",
journal = j-MATH-COMPUT,
volume = "33",
number = "148",
pages = "1299--1306",
month = oct,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33-04)",
MRnumber = "80e:65024",
MRreviewer = "R. P. Boas, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Concordia Univ., Montreal,
Que., Canada",
keywords = "Bessel function; complex zeros; finite element
analysis; finite element approximation method;
iterative optimisation scheme; modified; poles and
zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Pexton:1979:DRT,
author = "Robert L. Pexton and Arno D. Steiger",
title = "Degenerate roots of three transcendental equations
involving spherical {Bessel} functions",
journal = j-MATH-COMPUT,
volume = "33",
number = "147",
pages = "1041--1048",
month = jul,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "loose microfiche suppl. 65H10 (65D20)",
MRnumber = "80g:65057",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Lawrence Livermore Lab., Univ. of California,
Livermore, CA, USA",
keywords = "function approximation; spherical Bessel function;
transcendental equation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Phillips:1979:FAC,
author = "G. Phillips",
title = "A fast approximation to the complementary error
function for use in fitting gamma-ray peaks",
journal = j-NUCL-INSTR-METH,
volume = "164",
number = "??",
pages = "561--563",
month = sep,
year = "1979",
CODEN = "NUIMAL",
DOI = "http://dx.doi.org/10.1016/0029-554X(79)90094-6",
ISSN = "0029-554X",
URL = "http://adsabs.harvard.edu/abs/1979NucIM.164..561P",
abstract = "A fast approximation to the complementary error
function has been programmed and tested for use in the
peak-shape function for fitting peaks in gamma-ray
spectra. The function was compared for speed and
accuracy on the NRL ASC 7 computer to the mathematical
library version of the complementary error
function. The approximation has resulted in a 50\% time
savings in the computer program HYPERMET which was
developed at NRL for automatic analysis of gamma-ray
spectra from germanium detectors.",
}
@Article{Risch:1979:APE,
author = "Robert H. Risch",
title = "Algebraic properties of the elementary functions of
analysis",
journal = j-AM-J-MATH,
volume = "101",
number = "4",
pages = "743--759",
year = "1979",
CODEN = "AJMAAN",
ISSN = "0002-9327",
MRclass = "12H05",
MRnumber = "81b:12029",
MRreviewer = "J. L. Johnson",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Thacher:1979:NBR,
author = "Henry C. {Thacher, Jr.}",
title = "New Backward Recurrences for {Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "33",
number = "146",
pages = "744--764",
month = apr,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A40)",
MRnumber = "81b:65019",
MRreviewer = "R. G. Langebartel",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Mathematical analysis)",
corpsource = "Dept. of Computer Sci., Univ. of Kentucky, Lexington,
KY, USA",
keywords = "backward recurrences; Bessel functions; converges",
treatment = "N New Development; T Theoretical or Mathematical",
}
@InProceedings{Brent:1980:UAE,
author = "R. P. Brent",
title = "Unrestricted Algorithms for Elementary and Special
Functions",
crossref = "Lavington:1980:IPP",
pages = "613--619",
year = "1980",
bibdate = "Thu Sep 01 11:55:31 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Book{Cody:1980:SME,
author = "W. J. Cody and W. Waite",
title = "Software Manual for the Elementary Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "x + 269",
year = "1980",
ISBN = "0-13-822064-6",
ISBN-13 = "978-0-13-822064-8",
LCCN = "QA331 .C635 1980",
bibdate = "Thu Sep 1 10:12:51 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Ditkin:1980:CSF,
author = "V. A. Ditkin and K. A. Karpov and M. K. Kerimov",
title = "The computation of special functions",
journal = "U.S.S.R. computational mathematics and mathematical
physics",
volume = "20",
number = "5",
pages = "3--12",
year = "1980",
CODEN = "CMMPA9",
ISSN = "0041-5553",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.2.1; G.1.2",
CRclass = "G.2.1 Combinatorics; G.2.1 Generating functions; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, DISCRETE MATHEMATICS,
Combinatorics, Generating functions; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "algorithms; design",
guideno = "09092",
journalabr = "USSR Comput. Math. Math. Phys",
jrldate = "1980",
subject = "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Fransen:1980:HPV,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "High-precision values of the gamma function and of
some related coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "553--566",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "81f:65004",
MRreviewer = "F. W. J. Olver",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "JSTOR database",
note = "See addendum and corrigendum
\cite{Fransen:1981:ACH}.",
acknowledgement = ack-nhfb,
}
@TechReport{Fullerton:1980:BEM,
author = "L. W. Fullerton",
title = "A Bibliography on the Evaluation of Mathematical
Functions",
type = "Technical report",
number = "TM 80-1274-4 and CSTR 86",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
month = sep,
year = "1980",
bibdate = "Sat Feb 05 17:39:14 2005",
acknowledgement = ack-nhfb,
}
@InProceedings{Maksymiv:1980:APT,
author = "E. M. Maksymiv",
booktitle = "Differentsialnye Uravneniya i ikh Prilozhen",
title = "Approximate properties of {Thiele}'s formula in a
class of elementary functions. ({Russian})",
volume = "141",
publisher = "Vestnik L'vov. Politekhn. Inst.",
address = "L'vov, USSR",
pages = "55--56",
year = "1980",
MRclass = "119.65D20",
MRnumber = "81i:65021",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InProceedings{Olver:1980:UAG,
author = "F. W. J. Olver",
title = "Unrestricted algorithms for generating elementary
functions",
crossref = "Alefeld:1980:PSE",
pages = "131--140",
year = "1980",
MRclass = "65G05 (65D15)",
MRnumber = "82b:65034",
MRreviewer = "John Todd",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Tretjakov:1980:PSE,
author = "V. A. Tret'jakov",
booktitle = "Mathematical analysis and the theory of functions
({Russian}),",
title = "On the properties of some elementary functions that
are defined on the algebra of bicomplex numbers.
({Russian})",
publisher = "Moskov. Oblast. Ped. Inst.,",
address = "Moscow, USSR",
pages = "99--106",
year = "1980",
MRclass = "30G35 (78A35)",
MRnumber = "82i:30069",
MRreviewer = "Toma V. Tonev",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@PhdThesis{vonGudenberg:1980:EAR,
author = "J. Wolff {von Gudenberg}",
title = "{Einbettung allgemeiner Rechnerarithmetik in Pascal
mittels eines Operatorkonzepts und Implementierung der
Standardfunktionen mit optimaler Genauigkeit}
\toenglish {Embedding a General Computer Arithmetic in
Pascal by Means of an Operator Concept and the
Implementation of Elementary Functions with Optimal
Accuracy} \endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1980",
bibdate = "Sun Oct 25 10:29:29 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Chen:1981:AFD,
author = "Gang Chen",
title = "An attempt to find the derivatives of elementary
functions using the algorithmic language {BCY}.
({Chinese})",
journal = "Zhejiang Daxue Xuebao",
volume = "3",
pages = "141--149",
year = "1981",
MRclass = "26A09",
MRnumber = "714 524",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InProceedings{Davis:1981:EFA,
author = "Diane F. Davis",
title = "Elementary Functions on an Array Processor",
crossref = "IEEE:1981:PIS",
pages = "170--178",
year = "1981",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/arith.bib.gz",
acknowledgement = ack-nhfb,
}
@InProceedings{Farmwald:1981:HBE,
author = "P. Michael Farmwald",
title = "High Bandwidth Evaluation of Elementary Functions",
crossref = "IEEE:1981:PIS",
pages = "139--142",
year = "1981",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/arith.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Fransen:1981:ACH,
author = "Arne Frans{\'e}n",
title = "Addendum and corrigendum to: {``High-precision values
of the gamma function and of some related
coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150,
553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "233--235",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65002",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "JSTOR database",
note = "See \cite{Fransen:1980:HPV}.",
acknowledgement = ack-nhfb,
}
@TechReport{Fullerton:1981:FUMa,
author = "L. W. Fullerton",
title = "{FNLIB} User's Manual Explanatory Table of Contents",
type = "Technical report",
number = "CSTR 92",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
month = mar,
year = "1981",
bibdate = "Sat Feb 05 17:39:14 2005",
acknowledgement = ack-nhfb,
}
@TechReport{Fullerton:1981:FUMb,
author = "L. W. Fullerton",
title = "{FNLIB} User's Manual",
type = "Technical report",
number = "CSTR 95",
institution = "Bell Telephone Laboratories",
address = "Murray Hill, NJ, USA",
month = mar,
year = "1981",
bibdate = "Sat Feb 05 17:39:14 2005",
acknowledgement = ack-nhfb,
}
@Article{Glasser:1981:CBS,
author = "M. L. Glasser",
title = "A Class of {Bessel} Summations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "499--501",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (42A16 44A15)",
MRnumber = "82j:33015",
MRreviewer = "B. D. Agrawal",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math. and Computer Sci., Clarkson Coll.,
Potsdam, NY, USA",
keywords = "Bessel functions; Bessel summations; infinite series",
treatment = "T Theoretical or Mathematical",
}
@Article{Hough:1981:API,
author = "D. Hough",
title = "Application of the proposed {IEEE 754} standard for
floating-point arithmetic",
journal = j-COMPUTER,
volume = "14",
number = "3",
pages = "70--74",
year = "1981",
CODEN = "CPTRB4",
ISSN = "0018-9162",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/1981.bib.gz",
acknowledgement = ack-nhfb,
annote = "Various features of the proposed standard provide an
especially convenient environment for programming
numerical procedures such as the familiar elementary
functions.",
bydate = "MB",
byrev = "Le",
country = "USA",
date = "14/06/82",
descriptors = "Computer arithmetic; floating point; computation
structure; method; application; standard;",
enum = "1418",
language = "English",
location = "RWTH-AC-DFV: Bibl.",
references = "10",
revision = "21/04/91",
}
@Article{James:1981:LTS,
author = "D. G. James",
title = "Linear transformations of the second elementary
function",
journal = j-LIN-MULT-ALGEBRA,
volume = "10",
number = "4",
pages = "347--349",
year = "1981",
CODEN = "LNMLAZ",
ISSN = "0308-1087",
MRclass = "15A69 (10C15)",
MRnumber = "83c:15023",
MRreviewer = "E. W. Ellers",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Markov:1981:ICE,
author = "S. M. Markov",
title = "On the interval computation of elementary functions",
journal = j-C-R-ACAD-BULGARE-SCI,
volume = "34",
number = "3",
pages = "319--322",
year = "1981",
CODEN = "DBANAD",
ISSN = "0366-8681",
MRclass = "65G10",
MRnumber = "83e:65084",
MRreviewer = "David F. Griffiths",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{McCullagh:1981:RCS,
author = "Peter McCullagh",
title = "A rapidly convergent series for computing $\psi (z)$
and its derivatives",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "247--248",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A15)",
MRnumber = "81m:65028",
MRreviewer = "J. Gregor",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis)",
corpsource = "Imperial Coll. of Sci. and Technol., London, UK",
keywords = "(mathematics); convergence; function evaluation; log
gamma function; poles; poles and zeros; rapidly
convergent series; series; series expansion; uniformly
convergent",
treatment = "T Theoretical or Mathematical",
}
@Article{Smith:1981:ERA,
author = "J. M. Smith and F. W. J. Olver and D. W. Lozier",
title = "Extended-Range Arithmetic and Normalized {Legendre}
Polynomials",
journal = j-TOMS,
volume = "7",
number = "1",
pages = "93--105",
month = mar,
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500",
MRclass = "65D20 (65G05)",
MRnumber = "83a:65017",
bibdate = "Mon Aug 29 22:02:12 1994",
URL = "http://doi.acm.org/10.1145/355934.355940",
acknowledgement = ack-nhfb,
keywords = "angular momentum; extended-range arithmetic; Legendre
polynomials; overflow; underflow",
}
@Article{Steinberg:1981:LSE,
author = "D. Steinberg and M. Rodeh",
title = "A layout for the shuffle-exchange network with
{$O(N^2/\log^{3/2}N)$} area",
journal = j-IEEE-TRANS-COMPUT,
volume = "C-30",
number = "12",
pages = "977--982",
month = dec,
year = "1981",
CODEN = "ITCOB4",
ISSN = "0018-9340",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "C.1.2; G.1.2",
CRclass = "C.1.2 Multiple Data Stream Architectures
(Multiprocessors); C.1.2 Interconnection architectures;
G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Computer Systems Organization, PROCESSOR
ARCHITECTURES, Multiple Data Stream Architectures
(Multiprocessors), Interconnection architectures;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "design",
guideno = "06519",
jrldate = "Dec. 1981",
subject = "C. Computer Systems Organization; C.1 PROCESSOR
ARCHITECTURES; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@Article{Vogelius:1981:DRM,
author = "M. Vogelius and I. Babuska",
title = "On a dimensional reduction method. {II}. Some
approximation-theoretic results",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "47--68",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.7",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.7 Ordinary Differential Equations;
G.1.7 Boundary value problems",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Boundary value problems",
genterm = "theory",
guideno = "09396",
jrldate = "July 1981",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Armengou:1982:ASQ,
author = "Santiago Zarzuela Armengou",
title = "About some questions of differential algebra
concerning to elementary functions",
journal = "Publ. Sec. Mat. Univ. Aut{\`o}noma Barcelona",
volume = "26",
number = "1",
pages = "5--15",
year = "1982",
MRclass = "12H05",
MRnumber = "86i:12009",
MRreviewer = "Michael F. Singer",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@TechReport{Bazarov:1982:EEF,
author = "M. B. Bazarov and Yu. I. Shokin and Z. Kh. Yuldashev",
title = "On the Evaluation of Elementary Functions in Interval
Analysis (In {Russian})",
institution = "Applied Mathematics and Mechanics, Tashkent State
Univ.",
address = "Tashkent, USSR",
pages = "26--31",
year = "1982",
bibdate = "Fri Jan 12 11:37:56 1996",
acknowledgement = ack-jr,
}
@Article{Belevitch:1982:SIT,
author = "V. Belevitch and J. Boersma",
title = "On {Stieltjes} integral transforms involving ${\Gamma}
$-functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "223--226",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "44A15 (33A15 33A45)",
MRnumber = "83d:44001",
MRreviewer = "V. M. Bhise",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Philips Res Lab., Brussels, Belgium",
keywords = "Gamma functions; integral transforms; Stieltjes
transforms; systematic classification; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Borwein:1982:MNT,
author = "P. B. Borwein",
title = "On a method of {Newman} and a theorem of {Bernstein}",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "1",
pages = "37--41",
month = jan,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06012",
jrldate = "Jan. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Chambers:1982:UBF,
author = "Ll. G. Chambers",
title = "An upper bound for the first zero of {Bessel}
functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "589--591",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A65",
MRnumber = "83h:33011",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@InProceedings{Cody:1982:TTP,
author = "W. J. Cody",
title = "Transportable test procedures for elementary function
software",
crossref = "Mulvey:1982:EMP",
pages = "236--247",
year = "1982",
bibdate = "Thu Nov 17 06:39:08 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-wjc,
}
@Article{Crick:1982:IRB,
author = "S. E. Crick",
title = "Inclusion relations for {Bernstein} quasi-analytic
classes",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "4",
pages = "375--379",
month = apr,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms; theory",
guideno = "07841",
jrldate = "April 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Cruz:1982:ZHF,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Zeros of the {Hankel} function of real order and of
its derivative",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "639--645",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40",
MRnumber = "83j:33005",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); B0290F (Interpolation
and function approximation); C4120 (Functional
analysis); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza,
Spain",
keywords = "approximation; derivative; evaluation; function
approximation; function evaluation; Hankel function;
poles and zeros; real order; trajectories; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Danielopoulos:1982:CEP,
author = "S. D. Danielopoulos",
title = "On the Cost of Evaluating Polynomials and Their
Derivatives",
journal = j-COMPUTING,
volume = "29",
number = "4",
pages = "373--380",
year = "1982",
CODEN = "CMPTA2",
ISSN = "0010-485X (printed version), 1436-5057 (electronic
version)",
MRclass = "68C25 (68C20)",
MRnumber = "84a:68039",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "Compendex database; MathSciNet database; ACM Computing
Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ of Ioannina, Greece",
catcode = "G.1.2; G.4; G.1.0",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.4 Algorithm analysis; G.1.0 General;
G.1.0 Computer arithmetic",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis; Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic",
genterm = "economics; theory",
guideno = "04049",
journalabr = "Computing (Vienna/New York)",
jrldate = "1982",
keywords = "mathematical techniques",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Epstein:1982:UAF,
author = "C. Epstein and W. L. Miranker and T. J. Rivlin",
title = "Ultra-arithmetic {I}: function data types",
journal = j-MATH-COMP-SIM,
volume = "24",
number = "1",
pages = "1--18",
month = feb,
year = "1982",
CODEN = "MCSIDR",
ISSN = "0378-4754",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1; G.1.2; G.1.2",
CRclass = "G.1.5 Roots of Nonlinear Equations; G.1.2
Approximation; G.1.2 Chebyshev approximation and
theory; G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
Nonlinear Equations; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Chebyshev
approximation and theory; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms",
guideno = "09324",
jrldate = "Feb. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Epstein:1982:UAI,
author = "C. Epstein and W. L. Miranker and T. J. Rivlin",
title = "Ultra-arithmetic {II}: intervals of polynomials",
journal = j-MATH-COMP-SIM,
volume = "24",
number = "1",
pages = "19--29",
month = feb,
year = "1982",
CODEN = "MCSIDR",
ISSN = "0378-4754",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.1; G.1.0",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.1 Interpolation; G.1.1 Spline and
piecewise polynomial interpolation; G.1.0 General;
G.1.0 Error analysis",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Spline and piecewise polynomial
interpolation; Mathematics of Computing, NUMERICAL
ANALYSIS, General, Error analysis",
genterm = "algorithms",
guideno = "09325",
jrldate = "Feb. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Gawronski:1982:ACF,
author = "W. Gawronski and U. Stadtm{\"u}ller",
title = "Approximation of continuous functions by generalized
{Favard} operators",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "4",
pages = "384--396",
month = apr,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory; algorithms",
guideno = "06038",
jrldate = "April 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Gordon:1982:RAN,
author = "H. T. Gordon",
title = "Rough approximation numerical algorithms",
journal = j-DDJ,
volume = "7",
number = "7",
pages = "54--56",
month = jul,
year = "1982",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
http://www.ddj.com/index/author/index.htm",
acknowledgement = ack-nhfb,
catcode = "G.1.0; G.1.2",
CRclass = "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
guideno = "04547",
jrldate = "July 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Greaves:1982:AHM,
author = "G. Greaves",
title = "An algorithm for the {Hausdorff} moment problem",
journal = j-NUM-MATH,
volume = "39",
number = "2",
pages = "231--238",
month = aug,
year = "1982",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms",
guideno = "07489",
jrldate = "Aug. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@TechReport{Kahan:1982:BCC,
author = "W. Kahan",
title = "Branch Cuts for Complex Elementary Functions",
type = "Technical Report",
number = "PAM-105",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
year = "1982",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/Matrix.bib.gz",
acknowledgement = ack-nhfb,
keywords = "na, elementary function",
}
@Article{Keener:1982:CLB,
author = "L. L. Keener",
title = "Characterizing local best {SAIN} approximations",
journal = j-J-APPROX-THEORY,
volume = "36",
number = "1",
pages = "55--63",
month = sep,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Chebyshev approximation and
theory; G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Chebyshev approximation and theory;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06074",
jrldate = "Sept. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Lassey:1982:CCI,
author = "Keith R. Lassey",
title = "On the computation of certain integrals containing the
modified {Bessel} function ${I}_{0}(\xi )$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "625--637",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "83j:65029",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand",
keywords = "approximation; approximation theory; convergence of
numerical methods; convergent series; function;
function approximation; integration; limiting
behaviour; modified Bessel; numerical integration;
one-dimensional integrals; two-dimensional integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Ling:1982:EIH,
author = "Chih Bing Ling and Ming Jing Wu",
title = "Evaluation of integrals of {Howland} type involving a
{Bessel} function",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "215--222",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); B0290M (Numerical
integration and differentiation); C1120 (Mathematical
analysis); C4160 (Numerical integration and
differentiation)",
corpsource = "Dept. of Maths., Virginia Polytech. Inst. and State
Univ., Blacksburg, VA, USA",
keywords = "10D; 20D; accuracy; Bessel function; Bessel functions;
Howland type; integrals; integration; tabulated
values",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Mori:1982:ARS,
author = "S. Mori and C. Y. Suen",
editor = "Ching Y. Suen and Renato De Mori",
key = "Scanners",
booktitle = "Computer analysis and perception: vol. I, Visual
signals",
title = "Automatic recognition of symbols and architecture of
the recognition unit",
publisher = pub-CRC,
address = pub-CRC:adr,
pages = "17--40",
year = "1982",
ISBN = "0-8493-6305-5 (vol. 1), 0-8493-6306-3 (vol. 2)",
ISBN-13 = "978-0-8493-6305-4 (vol. 1), 978-0-8493-6306-1 (vol.
2)",
LCCN = "TA1650 .C65 1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bookpages = "various",
catcode = "I.5; G.1.2; C.3; B.7; I.5.4",
CRclass = "I.5.2 Design Methodology; G.1.2 Approximation; G.1.2
Elementary function approximation; C.3 Signal
processing systems; B.7.1 Types and Design Styles;
I.5.4 Applications; I.5.4 Signal processing",
descriptor = "Computing Methodologies, PATTERN RECOGNITION, Design
Methodology; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Computer Systems Organization,
SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS, Signal
processing systems; Hardware, INTEGRATED CIRCUITS,
Types and Design Styles; Computing Methodologies,
PATTERN RECOGNITION, Applications, Signal processing",
genterm = "documentation; theory; design",
guideno = "01691",
subject = "I. Computing Methodologies; I.5 PATTERN RECOGNITION;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; C.
Computer Systems Organization; C.3 SPECIAL-PURPOSE AND
APPLICATION-BASED SYSTEMS; B. Hardware; B.7 INTEGRATED
CIRCUITS; I. Computing Methodologies; I.5 PATTERN
RECOGNITION",
}
@Article{Ollin:1982:CFE,
author = "H. Z. Ollin and I. Gerst",
title = "Classes of functions with explicit best uniform
approximations",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "3",
pages = "264--276",
month = mar,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06030",
jrldate = "March 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Rack:1982:GIV,
author = "H.-J Rack",
title = "A generalization of an inequality of {V. Markov} to
multivariate polynomials",
journal = j-J-APPROX-THEORY,
volume = "35",
number = "1",
pages = "94--97",
month = may,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06047",
jrldate = "May 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@PhdThesis{Rockey:1982:DMS,
author = "S. A. Rockey",
title = "Discrete methods of state approximation, parameter
identification and optimal control for hereditary
systems",
type = "{Ph.D} Thesis",
school = "Brown University",
address = "Providence, RI",
pages = "208",
year = "1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.1.2; G.1.5",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Linear
approximation; G.1.5 Roots of Nonlinear Equations;
G.1.5 Convergence",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Linear approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
Equations, Convergence",
guideno = "15449",
source = "UMI order no. DA8228325",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Sommer:1982:EPL,
author = "M. Sommer",
title = "Existence of pointwise-{Lipschitz}-continuous
selections of the metric projection for a class of
{$Z$}-spaces",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "2",
pages = "115--130",
month = feb,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06018",
jrldate = "Feb. 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@PhdThesis{Wang:1982:AME,
author = "J.-L Wang",
title = "Asymptotically minimax estimators for distributions
with increasing failure rate",
type = "{Ph.D} Thesis",
school = "University of California, Berkeley",
address = "Berkeley, CA, USA",
pages = "42",
year = "1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "design",
guideno = "15084",
source = "UMI order no. DA8300696",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Whitley:1982:MBI,
author = "R. Whitley",
title = "{Markov} and {Bernstein}'s inequalities, and compact
and strictly singular operators",
journal = j-J-APPROX-THEORY,
volume = "34",
number = "3",
pages = "277--285",
month = mar,
year = "1982",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "06031",
jrldate = "March 1982",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Wills:1982:RCA,
author = "C. A. Wills and J. M. Blair and P. L. Ragde",
title = "Rational {Chebyshev} approximations for the {Bessel}
functions ${J}_{0}(x)$, ${J}_{1}(x)$, ${Y}_{0}(x)$,
${Y}_{1}(x)$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "617--623",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A40 41A50)",
MRnumber = "83j:65030",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation
and function approximation); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada",
keywords = "approximations; Bessel functions; Chebyshev; Chebyshev
approximation; formulae; McMahon asymptotic; minimax
techniques; near-minimax rational approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Benton:1983:CZT,
author = "T. C. Benton",
title = "Common Zeros of Two {Bessel} Functions. Part {II}.
Approximations and Tables",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "203--217",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65A05)",
MRnumber = "85a:33010",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math., Pennsylvania State Univ., University
Park, PA, USA",
keywords = "Bessel functions; computer program; poles and zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Cash:1983:BRKa,
author = "J. R. Cash",
title = "Block {Runge--Kutta} Methods for the Numerical
Integration of Initial Value Problems in Ordinary
Differential Equations. Part {I}. The Nonstiff Case",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "175--191",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "84d:65044a",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4160 (Numerical
integration and differentiation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
keywords = "approximate numerical integration; approximation
theory; block implicit formulae; block Runge--Kutta
formulae; C. W. Gear; differential equations;
equations; first order; formulae; initial value;
initial value problems; integration; linear multistep
methods; nonstiff problems; order; ordinary
differential; problems; Runge--Kutta methods;
Runge--Kutta starters; stepsize; stiff problems;
systems; variable order; variable order block
explicit",
treatment = "T Theoretical or Mathematical",
}
@Article{Cody:1983:ASM,
author = "W. J. Cody",
title = "Algorithm 597: Sequence of Modified {Bessel} Functions
of the First Kind",
journal = j-TOMS,
volume = "9",
number = "2",
pages = "242--245",
month = jun,
year = "1983",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, MISCELLANEOUS",
genterm = "algorithms",
guideno = "02186",
jrldate = "June 1983",
keywords = "algorithms",
subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation G
Mathematics of Computing, MISCELLANEOUS",
}
@Article{Coleman:1983:CEB,
author = "J. P. Coleman and A. J. Monaghan",
title = "{Chebyshev} expansions for the {Bessel} function
${J}_{n}(z)$ in the complex plane",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "343--366",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (30E10 33A40 65D20)",
MRnumber = "84c:65013",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cruz:1983:MPR,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Modulus and phase of the reduced logarithmic
derivative of the {Hankel} function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "597--605",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65H05 81F10)",
MRnumber = "85b:33006",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Ellacott:1983:FTE,
author = "S. W. Ellacott",
title = "On the {Faber} transform and efficient numerical
rational approximation",
journal = j-SIAM-J-NUMER-ANAL,
volume = "20",
number = "5",
pages = "989--1000",
month = oct,
year = "1983",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
MRclass = "41A20 (41A21)",
MRnumber = "85f:41010",
MRreviewer = "Lee L. Keener",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fukushima:1983:OAA,
author = "M. Fukushima",
title = "An outer approximation algorithm for solving general
convex programs",
journal = j-OPER-RES,
volume = "31",
number = "1",
pages = "101--113",
month = feb,
year = "1983",
CODEN = "OPREAI",
ISSN = "0030-364X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2; G.4",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.4 Efficiency",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Efficiency",
genterm = "algorithms; documentation; performance; reliability;
theory",
guideno = "09992",
jrldate = "Jan./Feb. 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.4 MATHEMATICAL
SOFTWARE",
}
@Article{Giordano:1983:EAZ,
author = "C. Giordano and A. Laforgia",
title = "Elementary approximations for zeros of {Bessel}
functions",
journal = j-J-COMP-APPL-MATH,
volume = "9",
number = "3",
pages = "221--228",
month = sep,
year = "1983",
CODEN = "JCAMDI",
ISSN = "0377-0427",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "08115",
jrldate = "Sept. 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Hasson:1983:C,
author = "M. Hasson and O. Shisha",
title = "On the condition
$\sum^{\infty}_{n=1}n^{p-1}{E}^{*}_{n}(f) < \infty$",
journal = j-J-APPROX-THEORY,
volume = "39",
number = "4",
pages = "389--398",
month = dec,
year = "1983",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
MRclass = "42A10 (41A10)",
MRnumber = "85a:42002",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
note = "See corrigendum \cite{}.",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "07952",
jrldate = "Dec. 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Kershaw:1983:SEW,
author = "D. Kershaw",
title = "Some extensions of {W. Gautschi}'s inequalities for
the gamma function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "607--611",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (26D20 65D20)",
MRnumber = "84m:33003",
MRreviewer = "P. Anandani",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lehnhoff:1983:NPT,
author = "H.-G Lehnhoff",
title = "A new proof of {Teljakowskii}'s theorem",
journal = j-J-APPROX-THEORY,
volume = "38",
number = "2",
pages = "177--181",
month = jun,
year = "1983",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "07897",
jrldate = "June 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Lehnhoff:1983:SPF,
author = "H.-G Lehnhoff",
title = "A simple proof of a {A.F. Timan}'s theorem",
journal = j-J-APPROX-THEORY,
volume = "38",
number = "2",
pages = "172--176",
month = jun,
year = "1983",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory",
guideno = "07896",
jrldate = "June 1983",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@InProceedings{Little:1983:CCS,
author = "F. Little",
editor = "Robert E. Barnhill and Wolfgang Boehm",
booktitle = "Surfaces in computer aided geometric design:
proceedings of a conference held at Mathematisches
Forschungsinstitut Oberwolfach, F.R.G., April 25--30,
1982, organized by Wolfgang Boehm and Josef Hoschek",
title = "Convex combination surfaces",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "99--109",
year = "1983",
ISBN = "0-444-86550-0",
ISBN-13 = "978-0-444-86550-2",
LCCN = "T385 .S827 1982",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bookpages = "xvi + 215",
catcode = "G.1.1; G.1.1; G.1.2",
CRclass = "G.1.1 Interpolation; G.1.1 Interpolation formulas;
G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Interpolation formulas; Mathematics of
Computing, NUMERICAL ANALYSIS, Interpolation,
Smoothing; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "theory",
guideno = "13093",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@TechReport{Lutskii:1983:VFT,
author = "G. M. Lutski{\u{\i}} and O. I. Penchev",
title = "{\cyr Vychislenie {\`e}lementarnykh
funktsi{\u{\i}}metodom tsifra za tsifro{\u{\i}}v
izbytochnykh sistemakh schisleniya}. ({Russian})
[Calculation of elementary functions by the
digit-by-digit method in redundant number systems]",
type = "Preprint",
number = "83-22",
institution = "Akad. Nauk Ukrain. SSR, Inst. Kibernet.",
address = "Kiev, USSR",
pages = "30",
year = "1983",
MRclass = "65D20",
MRnumber = "719 021",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@TechReport{McCurdy:1983:ACD,
author = "A. McCurdy and K. C. Ng and Beresford N. Parlett",
title = "Accurate computation of divided differences of the
exponential function",
type = "Report",
number = "PAM-160",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
month = jun,
year = "1983",
bibdate = "Fri Nov 11 09:06:19 2005",
acknowledgement = ack-nhfb,
}
@Article{Meister:1983:MYF,
author = "B. Meister",
title = "On {Murphy}'s yield formula",
journal = j-IBM-JRD,
volume = "27",
number = "6",
pages = "545--548",
month = nov,
year = "1983",
CODEN = "IBMJAE",
ISSN = "0018-8646",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "B.7.1; G.1.2",
CRclass = "B.7.1 Types and Design Styles; B.7.1 Input/Output
circuits; G.1.2 Approximation; G.1.2 Elementary
function approximation",
descriptor = "Hardware, INTEGRATED CIRCUITS, Types and Design
Styles, Input/Output circuits; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "theory; design; reliability",
guideno = "06316",
jrldate = "Nov. 1983",
subject = "B. Hardware; B.7 INTEGRATED CIRCUITS; G. Mathematics
of Computing; G.1 NUMERICAL ANALYSIS",
}
@PhdThesis{Monk:1983:SFE,
author = "P. B. Monk",
title = "Some finite element methods for the approximation of
the biharmonic equation",
type = "{Ph.D} Thesis",
school = "Rutgers University, The State University of New
Jersey",
address = "New Brunswick, NJ, USA",
pages = "242",
year = "1983",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.8; G.1.2",
CRclass = "G.1.8 Partial Differential Equations; G.1.8 Finite
element methods; G.1.2 Approximation; G.1.2 Elementary
function approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
Differential Equations, Finite element methods;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "design; algorithms; experimentation",
guideno = "15929",
source = "UMI order no. DA8308441",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Nave:1983:ITF,
author = "Rafi Nave",
key = "Nav83",
title = "Implementation of Transcendental Functions on a
Numerics Processor",
journal = j-MICROPROC-MICROPROG,
volume = "11",
pages = "221--225",
year = "1983",
CODEN = "MMICDT",
ISSN = "0165-6074",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Volz:1983:CAA,
author = "H. V{\"o}lz",
title = "{{CORDIC} und {\"a}hnliche Algorithmen der elementaren
Funktionen mit besonderer Eignung f{\"u}r Mikrorechner}
\toenglish {CORDIC and Similar Algorithms for
Elementary Functions with Particular Aptitude for
Microcomputers} \endtoenglish",
journal = j-NACH-ELEK,
volume = "33",
number = "12",
pages = "506--510",
month = "????",
year = "1983",
CODEN = "NTELAP",
ISSN = "0323-4657",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Xu:1983:HPG,
author = "Xian Yu Xu and Jia Kai Li and Gui Jing Xiong and Guo
Liang Xu and Chun Qing Lu",
title = "High-precision generation of elementary functions.
({Chinese})",
journal = "Appl. Math. Math. Comput.",
volume = "6",
pages = "24--32",
year = "1983",
MRclass = "65D20",
MRnumber = "86e:65031",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Berges:1984:AFE,
author = "J. C. Berges",
booktitle = "Space mathematics",
title = "Arithm{\'e}tique et fonctions {\'e}l{\'e}mentaires sur
mini-micro calculateurs. ({French}) [Arithmetic and
elementary functions on mini-micro computers]",
publisher = "C{\'e}padu{\`e}s",
address = "Toulouse, France",
pages = "193--229",
year = "1984",
MRclass = "65-01 (65-04)",
MRnumber = "849 200",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Black:1984:NIS,
author = "Cheryl M. Black and Robert P. Burton and Thomas H.
Miller",
title = "The Need for an Industry Standard of Accuracy for
Elementary-Function Programs",
journal = j-TOMS,
volume = "10",
number = "4",
pages = "361--366",
month = dec,
year = "1984",
CODEN = "ACMSCU",
ISSN = "0098-3500",
MRclass = "65D20",
MRnumber = "792 000",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
catcode = "G.1.0; G.1.2; G.4",
CRclass = "G.1.0 General; G.1.0 Numerical algorithms; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.4 Efficiency",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, MATHEMATICAL
SOFTWARE, Efficiency",
genterm = "theory; algorithms; reliability; standardization",
guideno = "02897",
jrldate = "Dec. 1984",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE",
}
@Article{Borwein:1984:AGM,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic-Geometric Mean and Fast Computation of
Elementary Functions",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "351--366",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445",
MRclass = "65D20 (26A09)",
MRnumber = "86d:65029",
MRreviewer = "S. Conde",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database;
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
abstract = "We produce a self contained account of the
relationship between the Gaussian arithmetic-geometric
mean iteration and the fast computation of elementary
functions. A particularly pleasant algorithm for pi is
one of the by-products.",
acknowledgement = ack-nhfb # " and " # ack-nj,
affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
classification = "921; 723",
journalabr = "SIAM Rev",
keywords = "arithmetic-geometric mean; calculation of pi;
computational methods; elliptic functions; Iterative
Methods; mathematical techniques; numerical
mathematics",
}
@Article{Fransen:1984:CMM,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "Calculation of the moments and the moment generating
function for the reciprocal gamma distribution",
journal = j-MATH-COMPUT,
volume = "42",
number = "166",
pages = "601--616",
month = apr,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (60E10 62E15 65U05)",
MRnumber = "86f:65042a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C1210B (Reliability theory); C4130 (Interpolation and
function approximation)",
corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden",
keywords = "kurtosis; moment generating function; moments;
polynomials; reciprocal gamma distribution; reliability
theory; skewness; variance",
treatment = "T Theoretical or Mathematical",
}
@Article{Glaeske:1984:LTS,
author = "H.-J. Glaeske and O. I. Mari{\v{c}}ev",
title = "The {Laguerre} transform of some elementary
functions",
journal = j-Z-ANAL-ANWEND,
volume = "3",
number = "3",
pages = "237--244",
year = "1984",
ISSN = "0232-2064",
MRclass = "44A15 (34A10)",
MRnumber = "86a:44005",
MRreviewer = "Ram Kishore Saxena",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Laforgia:1984:FIG,
author = "Andrea Laforgia",
title = "Further Inequalities for the Gamma Function",
journal = j-MATH-COMPUT,
volume = "42",
number = "166",
pages = "597--600",
month = apr,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15",
MRnumber = "85i:33001",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of Torino, Torino, Italy",
keywords = "gamma function; inequalities; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{McCurley:1984:EE,
author = "Kevin S. McCurley",
title = "Explicit Estimates for $\theta (x; 3, l)$ and $\psi
(x; 3, l)$",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "287--296",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11N56",
MRnumber = "85g:11085",
MRreviewer = "G. J. Rieger",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Maths., Michigan State Univ., East Lansing,
MI, USA",
keywords = "arithmetic progressions; Chebyshev approximation;
Chebyshev functions; Dirichlet L-; explicit estimates;
functions; prime number; theorem; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Newman:1984:ABS,
author = "J. N. Newman",
title = "Approximations for the {Bessel} and {Struve}
functions",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "551--556",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A40)",
MRnumber = "86c:65021",
MRreviewer = "S. Conde",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C1120 (Mathematical analysis); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Ocean Eng., MIT, Cambridge, MA, USA",
keywords = "accuracy; Bessel functions; function approximation;
functions; IBM PC computer; minimax; polynomial
approximations; polynomials; rational-fraction
approximations; single-precision computations; Struve",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Ng:1984:DAA,
author = "K. C. Ng",
title = "Contributions to the computation of the matrix
exponential",
type = "Report",
number = "PAM-212",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
month = feb,
year = "1984",
bibdate = "Fri Nov 11 09:06:19 2005",
note = "Based on the author's Ph.D. thesis.",
acknowledgement = ack-nhfb,
keywords = "$\exp(Bt)$",
}
@Article{Nishimoto:1984:TFD,
author = "Katsuyuki Nishimoto",
title = "Tables of fractional differintegrations of elementary
functions",
journal = "J. College Engrg. Nihon Univ. Ser. B",
volume = "25",
pages = "41--46",
year = "1984",
ISSN = "0285-6182",
MRclass = "30E20 (26A33)",
MRnumber = "85f:30065",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Piessens:1984:SEF,
author = "R. Piessens",
title = "A Series Expansion for the First Positive Zero of the
{Bessel} Functions",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "195--197",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65D20)",
MRnumber = "84m:33014",
MRreviewer = "M. E. Muldoon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Comp.Alg.1.bib",
acknowledgement = ack-nhfb,
annote = "Gives explicit series for first positive zero for 4
terms, using REDUCE.",
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Computer Sci., Univ. of Leuven, Heverlee,
Belgium",
keywords = "Bessel functions; poles and zeros; positive zero;
Reduce; series (mathematics); series expansion",
treatment = "T Theoretical or Mathematical",
}
@Article{vonGudenberg:1984:BMG,
author = "J. Wolff {von Gudenberg}",
title = "{Berechnung maximal genauer Standardfunktionen mit
einfacher Mantissenl{\"a}nge} \toenglish {Computation
of Maximally Accurate Elementary Functions Using Simple
Mantissa Length} \endtoenglish",
journal = j-ELEK-RECHENANLAGEN,
volume = "26",
number = "5",
pages = "230--238",
month = oct,
year = "1984",
CODEN = "ELRAA4",
ISSN = "0013-5720",
bibdate = "Sun Oct 25 10:29:27 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Wrigge:1984:NMG,
author = "Staffan Wrigge",
title = "A note on the moment generating function for the
reciprocal gamma distribution",
journal = j-MATH-COMPUT,
volume = "42",
number = "166",
pages = "617--621",
month = apr,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (60E10 62E15 65U05)",
MRnumber = "86f:65042b",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden",
keywords = "Euler-Maclaurin expansion; moment generating function;
polynomials; reciprocal gamma distribution",
treatment = "T Theoretical or Mathematical",
}
@Article{Akrivis:1985:ENC,
author = "G. Akrivis",
title = "The error norm of certain {Gaussian} quadrature
formulae",
journal = j-MATH-COMPUT,
volume = "45",
number = "172",
pages = "513--519",
month = oct,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "87a:65051",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Math. Inst., Munchen Univ., West Germany",
keywords = "error analysis; error functional; error norm; function
approximation; Gaussian quadrature formulae;
integration; weight functions; wide class",
treatment = "T Theoretical or Mathematical",
}
@Article{Frenzen:1985:NAE,
author = "C. L. Frenzen and R. Wong",
title = "A note on asymptotic evaluation of some {Hankel}
transforms",
journal = j-MATH-COMPUT,
volume = "45",
number = "172",
pages = "537--548",
month = oct,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60 (44A15 65R10)",
MRnumber = "87c:41024",
MRreviewer = "F. W. J. Olver",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); B0290Z (Other numerical
methods)C1130 (Integral transforms); C4190 (Other
numerical methods)",
corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC,
Canada",
keywords = "asymptotic expansion; Bessel function; Bessel
functions; growth condition; Hankel transforms;
meromorphic function; transforms",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Gal:1985:CEF,
author = "Shmuel Gal",
title = "Computing Elementary Functions: {A} New Approach for
Achieving High Accuracy and Good Performance",
crossref = "Miranker:1985:ASC",
pages = "1--16",
year = "1985",
bibdate = "Sat Nov 09 07:42:53 2002",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Hull:1985:PRV,
author = "T. E. Hull and A. Abrham",
title = "Properly Rounded Variable Precision Square Root",
journal = j-TOMS,
volume = "11",
number = "3",
pages = "229--237",
month = sep,
year = "1985",
CODEN = "ACMSCU",
ISSN = "0098-3500",
MRclass = "65D15 (65G05)",
MRnumber = "87a:65041",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
URL = "http://www.acm.org/pubs/toc/Abstracts/toms/214413.html;
http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p229-hull/",
abstract = "The square root function presented here returns a
properly rounded approximation to the square root of
its argument, or it raises an error condition if the
argument is negative. {\em Properly rounded} means
rounded to the nearest, or to nearest even in case of a
tie. It is {\em variable precision} in that it is
designed to return a $p$-digit approximation to a
$p$-digit argument, for any $p$ \$>\$ 0. (Precision $p$
means $p$ decimal digits.) The program and the analysis
are valid for all $p$ \$>\$ 0, but current
implementations place some restrictions on $p$.",
acknowledgement = ack-nhfb,
catcode = "G.4; G.4; G.1.0; G.1.2; G.4; G.1.0",
CRclass = "G.4 Algorithm analysis; G.4 Verification; G.1.0
General; G.1.0 Numerical algorithms; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.4 Certification and testing; G.1.0 General; G.1.0
Error analysis",
descriptor = "Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis; Mathematics of Computing,
MATHEMATICAL SOFTWARE, Verification; Mathematics of
Computing, NUMERICAL ANALYSIS, General, Numerical
algorithms; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, MATHEMATICAL
SOFTWARE, Certification and testing; Mathematics of
Computing, NUMERICAL ANALYSIS, General, Error
analysis",
genterm = "algorithms; verification",
guideno = "02789",
jrldate = "Sept. 1985",
keywords = "algorithms; verification",
subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Verification. {\bf
G.1.0}: Mathematics of Computing, NUMERICAL ANALYSIS,
General, Error analysis. {\bf G.1.0}: Mathematics of
Computing, NUMERICAL ANALYSIS, General, Numerical
algorithms.",
}
@Article{Kravchuk:1985:ACE,
author = "V. R. Kravchuk",
title = "Approximation of certain elementary functions by
rational functions of order $(n,2)$. ({Russian})",
journal = "Akad. Nauk Ukrain. SSR Inst. Mat. Preprint",
volume = "18",
pages = "7--40",
year = "1985",
MRclass = "41A25 (41A10)",
MRnumber = "87b:41017",
MRreviewer = "R. Smarzewski",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kravchuk:1985:EAE,
author = "V. R. Kravchuk",
title = "Effective approximation of elementary functions by
rational polynomials of order $(n,1)$. ({Russian})",
journal = "Ukrain. Mat. Zh.",
volume = "37",
number = "2",
pages = "175--180, 270",
year = "1985",
MRclass = "41A20 (41A25)",
MRnumber = "86h:41013",
MRreviewer = "Miguel A. Jim{\'e}nez Pozo",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lazard:1985:PFD,
author = "Daniel Lazard",
title = "Primitives des fonctions {\'e}l{\'e}mentaires
(d'apr{\`e}s {Risch} et {Davenport}). ({French})
[Primitives of elementary functions (following {Risch}
and {Davenport})] {Seminar Bourbaki, Vol. 1983/84, No.
121-122}",
journal = "Ast{\'e}risque",
volume = "121--122",
pages = "295--308",
year = "1985",
MRclass = "12H05 (12-04)",
MRnumber = "86k:12010",
MRreviewer = "J. H. Davenport",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Milgram:1985:GIE,
author = "M. S. Milgram",
title = "The Generalized Integro-Exponential Function",
journal = j-MATH-COMPUT,
volume = "44",
number = "170",
pages = "443--458",
month = apr,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A70 (65D15)",
MRnumber = "86c:33024",
MRreviewer = "S. Conde",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); B0290F (Interpolation
and function approximation); C4120 (Functional
analysis); C4130 (Interpolation and function
approximation)",
corpsource = "AECL, Chalk River, Ont., Canada",
keywords = "exponential function; exponential integral;
first-order functions; function; function
approximation; function evaluation; generalized
integro-; incomplete gamma; minimax; rational minimax
approximations; techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Muller:1985:DBC,
author = "Jean-Michel Muller",
title = "Discrete basis and computation of elementary
functions",
journal = j-IEEE-TRANS-COMPUT,
volume = "34",
number = "9",
pages = "857--862",
year = "1985",
CODEN = "ITCOB4",
ISSN = "0018-9340",
MRclass = "65D20 (65V05)",
MRnumber = "87e:65016",
MRreviewer = "D. Zwick",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@InCollection{Muller:1985:RNR,
author = "Jean-Michel Muller",
booktitle = "Seminar on number theory, 1984--1985 (Talence,
1984/1985),",
title = "Repr{\'e}sentation des nombres r{\'e}els et calcul des
fonctions {\'e}l{\'e}mentaires. ({French})
[Representation of real numbers and calculation of
elementary functions]",
volume = "12",
publisher = "Univ. Bordeaux {I}",
address = "Talence, France",
pages = "22",
year = "1985",
MRclass = "26-04 (11B13 11B34 26A09)",
MRnumber = "87k:26001",
MRreviewer = "S. L. Segal",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
remark = "From the MRreview: ``About one third of the paper is
devoted to algorithms for calculating quantities like
square root, exponential, logarithm, or trigonometric
funtions, using discrete bases. Indeed, the major
motivation for the present paper is obtaining simple
algorithms which can easily be realized by
hardware.''",
}
@TechReport{Parlett:1985:DAA,
author = "Beresford N. Parlett and K. C. Ng",
title = "Development of an accurate algorithm for {$\exp(Bt)$}",
type = "Technical Report",
number = "PAM-294",
institution = inst-CPAM-UCB,
address = inst-CPAM-UCB:adr,
month = aug,
year = "1985",
bibdate = "Fri Nov 11 09:06:19 2005",
acknowledgement = ack-nhfb,
}
@Article{Pereira:1985:ECF,
author = "N. Costa Pereira",
title = "Estimates for the {Chebyshev} function $\psi(x)-\theta
(x)$",
journal = j-MATH-COMPUT,
volume = "44",
number = "169",
pages = "211--221",
month = jan,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A25 (11N45 11Y35 33A70)",
MRnumber = "86k:11005",
bibdate = "Thu Jun 15 07:26:46 2000",
bibsource = "JSTOR database",
note = "See corrigendum \cite{Pereira:1987:CEC}.",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
keywords = "Chebyshev approximation; Chebyshev function",
treatment = "T Theoretical or Mathematical",
}
@Article{Spijker:1985:SRS,
author = "M. N. Spijker",
title = "Stepsize restrictions for stability of one-step
methods in the numerical solution of initial value
problems",
journal = j-MATH-COMPUT,
volume = "45",
number = "172",
pages = "377--392",
month = oct,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L20 (65M10)",
MRnumber = "86j:65106",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0560
(Transport processes: theory); B0290F (Interpolation
and function approximation); B0290P (Differential
equations); C4130 (Interpolation and function
approximation); C4170 (Differential equations); C7320
(Physics and chemistry computing)",
corpsource = "Inst. of Appl. Math. and Comput. Sci., Leiden Univ.,
Netherlands",
keywords = "convection; convergence of numerical methods;
differential equations; diffusion;
diffusion-convection; error growth; initial value
problems; iterative methods; numerical solution;
partial; problem; stability of one-step methods;
stepsize restrictions",
treatment = "T Theoretical or Mathematical",
}
@Article{Agarwal:1986:NSV,
author = "Ramesh C. Agarwal and James W. Cooley and Fred G.
Gustavson and James B. Shearer and Gordon Slishman and
Bryant Tuckerman",
title = "New Scalar and Vector Elementary Functions for the
{IBM System\slash 370}",
journal = j-IBM-JRD,
volume = "30",
number = "2",
pages = "126--144",
month = mar,
year = "1986",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "76W05",
MRnumber = "840 341",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
bibsource = "Compendex database",
note = "See clarification \cite{Agarwal:1987:CNS}.",
abstract = "Algorithms have been developed to compute short-and
long-precision elementary functions: SIN, COS, TAN,
COTAN, LOG, LOG10, EXP, POWER, SQRT, ATAN, ASIN, ACOS,
ATAN2, and CABS, in scalar (28 functions) and vector
(22 functions) mode. They have been implemented as part
of the new VS FORTRAN library recently announced along
with the IBM 3090 Vector Facility. These algorithms are
essentially table-based algorithms. An important
feature of these algorithms is that they produce
bitwise-identical results on scalar and vector
System\slash 370 machines. Of these, for five functions
the computed value result is always the correctly
rounded value of the infinite-precision result. For the
rest of the functions, the value returned is one of the
two floating-point neighbors bordering the
infinite-precision result, which implies exact results
if they are machine-representable. For the five
correctly rounded elementary functions, scalar and
vector algorithms are designed independently to
optimize performance in each case.",
acknowledgement = ack-nhfb,
classification = "723",
journalabr = "IBM J Res Dev",
keywords = "algorithms; Algorithms; computer metatheory; computer
programming; computer programming languages ---
fortran; design; elementary functions; fortran library;
IBM System/370; infinite-precision result; measurement;
performance; table-based algorithms",
subject = "C.4 Computer Systems Organization, PERFORMANCE OF
SYSTEMS \\ I.1.2 Computing Methodologies, ALGEBRAIC
MANIPULATION, Algorithms \\ F.3.3 Theory of
Computation, LOGICS AND MEANINGS OF PROGRAMS, Studies
of Program Constructs, Functional constructs \\ C.1.2
Computer Systems Organization, PROCESSOR ARCHITECTURES,
Multiple Data Stream Architectures (Multiprocessors),
Array and vector processors",
}
@Article{Bustoz:1986:GFI,
author = "Joaquin Bustoz and Mourad E. H. Ismail",
title = "On Gamma Function Inequalities",
journal = j-MATH-COMPUT,
volume = "47",
number = "176",
pages = "659--667",
month = oct,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (26D20)",
MRnumber = "87m:33002",
MRreviewer = "G. Gasper",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1130 (Integral transforms); C1140Z (Other and
miscellaneous)",
corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA",
keywords = "gamma function inequalities; infinite divisibility;
Laplace; Laplace transforms; monotonic functions;
probability; probability distributions; quotients;
transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Clenshaw:1986:GEL,
author = "C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver
and P. R. Turner",
title = "Generalized Exponential and Logarithmic Functions",
journal = j-COMP-MATH-APPL-B,
volume = "12B",
number = "5--6",
pages = "1091--1101",
month = "????",
year = "1986",
CODEN = "CMAPDK",
ISSN = "0886-9561",
MRclass = "33A70 (39B10 65G05)",
MRnumber = "MR0871348 (88a:33027)",
bibdate = "Fri Jul 09 06:27:26 2004",
acknowledgement = ack-nhfb,
}
@Article{Evans:1986:RIU,
author = "D. J. Evans and G. M. Megson",
title = "{Romberg} integration using systolic arrays",
journal = j-PARALLEL-COMPUTING,
volume = "3",
number = "4",
pages = "289--304",
month = oct,
year = "1986",
CODEN = "PACOEJ",
ISSN = "0167-8191",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "11019",
catcode = "G.1.1; G.1.2",
CRclass = "G.1.1 Interpolation; G.1.1 Extrapolation; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Extrapolation; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "theory; design; algorithms",
guideno = "1986-10554",
journalabbrev = "Parallel Comput.",
jrldate = "Oct. 1986",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{FernandezVelicia:1986:HPA,
author = "F. J. {Fern{\'a}ndez Velicia}",
title = "High-precision analytic approximations for the
{Fermi-Dirac} functions by means of elementary
functions",
journal = "Phys. Rev. A (3)",
volume = "34",
number = "5",
pages = "4387--4395",
year = "1986",
CODEN = "PLRAAN",
ISSN = "1050-2947",
MRclass = "33A70 (82A05)",
MRnumber = "MR869021 (88b:33024)",
bibdate = "Wed Apr 13 06:46:35 2005",
acknowledgement = ack-nhfb,
fjournal = "Physical Review. A. Third Series",
}
@InProceedings{Gal:1986:CEF,
author = "Shmuel Gal",
title = "Computing elementary functions: a new approach for
achieving high accuracy and good performance",
crossref = "Miranker:1986:ASC",
pages = "1--16",
year = "1986",
MRclass = "65D20",
MRnumber = "868 283",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz",
acknowledgement = ack-nhfb,
}
@InProceedings{Gustavson:1986:FEF,
author = "F. G. Gustavson",
title = "Fast Elementary Function Algorithms for 370 Machines",
crossref = "Miranker:1986:ASC",
pages = "17--17",
year = "1986",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Misc/MPG/lncs235.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Hull:1986:VPE,
author = "T. E. Hull and A. Abrham",
title = "Variable Precision Exponential Function",
journal = j-TOMS,
volume = "12",
number = "2",
pages = "79--91",
month = jun,
year = "1986",
CODEN = "ACMSCU",
ISSN = "0098-3500",
MRclass = "65D15 (65D20)",
MRnumber = "863 786",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
URL = "http://www.acm.org/pubs/toc/Abstracts/toms/6498.html;
http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p79-hull/",
acknowledgement = ack-nhfb,
bibno = "91",
content = "algorithms; verification; THEORY",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.4 Algorithm analysis; G.4
Certification and testing; G.4 Verification",
CRnumber = "1986-02428",
descriptor = "mathematics of computing, numerical analysis,
approximation, elementary function approximation;
mathematics of computing, mathematical software,
algorithm analysis; mathematics of computing,
mathematical software, certification and testing;
mathematics of computing, mathematical software,
verification",
fortitle = "ACM Trans. Math. Softw.",
genterm = "June 1986",
guideno = "2",
keywords = "algorithms; theory; verification",
review = "ACM CR 8702-0091",
subject = "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation. {\bf G.4}: Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}:
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Certification and testing. {\bf G.4}: Mathematics of
Computing, MATHEMATICAL SOFTWARE, Verification.",
waffil = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE;
G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE;
G. Mathematics of Computing; G.4 MATHEMATICAL
SOFTWARE",
}
@Article{Muller:1986:MDC,
author = "Jean-Michel Muller",
title = "Une m{\'e}thodologie du calcul hardware des fonctions
{\'e}l{\'e}mentaires. ({French}) [{A} methodology for
the hardware computation of elementary functions]",
journal = j-MATH-MODEL-NUM-ANA,
volume = "20",
number = "4",
pages = "667--695",
year = "1986",
CODEN = "RMMAEV",
ISSN = "0764-583X",
MRclass = "65D20 (41-04)",
MRnumber = "88h:65043",
MRreviewer = "E. W. Cheney",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Reichel:1986:PAU,
author = "L. Reichel",
title = "On polynomial approximation in the uniform norm by the
discrete least squares method",
journal = j-BIT,
volume = "26",
number = "3",
pages = "350--368",
month = jan,
year = "1986",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "12404",
catcode = "G.1.2; G.1.2; G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Least squares
approximation; G.1.2 Approximation; G.1.2 Spline and
piecewise polynomial approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Least squares approximation; Mathematics
of Computing, NUMERICAL ANALYSIS, Approximation, Spline
and piecewise polynomial approximation",
genterm = "algorithms",
guideno = "1986-03278",
jrldate = "Jan. 1986",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{S:1986:CEF,
author = "A. S. Kuz'menko and K. I. Rogozin",
title = "Calculation of elementary functions in a number system
with arbitrary basis on the basis of order-differential
transformations. ({Russian})",
journal = "Prace Nauk. Inst. Cybernet. Tech. Politech.
Wroc{\l}aw. Ser. Konfer.",
volume = "74",
number = "31",
pages = "259--262",
year = "1986",
MRclass = "65G99 (65D20)",
MRnumber = "894 691",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Shore:1986:AID,
author = "Haim Shore",
title = "An approximation for the inverse distribution function
of a combination of random variables, with an
application to operating theatres",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "23",
number = "3",
pages = "157--181",
year = "1986",
CODEN = "JSCSAJ",
ISSN = "0094-9655",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Ban-llan University, Israel",
bibno = "5358",
catcode = "G.3; G.m; G.1.2; G.2.1; J.3; G.3",
content = "The author worked on a project to predict the
percentage of time that operations are carried out
relative to the time that the operating theater is
available. The numerator of the percentage is a
weighted sum of the times required to carry out
different kinds of operations, where the weights are
the numbers of operations of each kind to be performed.
Since different kinds of operations have different mean
times, this sum has a skewed distribution.\par
Based on the Central Limit Theorem, the normal
distribution is the most widely used approximation to
the distribution of a weighted sum of random variables.
However, this approximation is not very good if the sum
has a skewed distribution.\par
In a separate paper [1], the author derived an
alternative approximation based on the first four
moments of the sum. In the present paper, he applies
this approximation to the operating theater problem by
estimating the moments of the times of the different
kinds of operations. The paper also contains a Monte
Carlo comparison of the normal approximation with the
proposed approximation for four underlying
distributions of the sum.",
CRclass = "G.3 Statistical computing; G.1.2 Approximation; G.1.2
Elementary function approximation; G.2.1 Combinatorics;
G.2.1 Generating functions; J.3 Health; G.3
Probabilistic algorithms (including Monte Carlo)",
CRnumber = "8612-1109",
descriptor = "Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing; Mathematics of Computing,
MISCELLANEOUS; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, DISCRETE
MATHEMATICS, Combinatorics, Generating functions;
Computer Applications, LIFE AND MEDICAL SCIENCES,
Health; Mathematics of Computing, PROBABILITY AND
STATISTICS, Probabilistic algorithms (including Monte
Carlo)",
genterm = "algorithms; measurement",
journalabbrev = "J. Stat. Comput. Simul.",
jrldate = "1986",
reviewer = "M. Snyder",
subject = "G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.m
MISCELLANEOUS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.2
DISCRETE MATHEMATICS; J. Computer Applications; J.3
LIFE AND MEDICAL SCIENCES; G. Mathematics of Computing;
G.3 PROBABILITY AND STATISTICS",
}
@Article{Skeel:1986:CVS,
author = "Robert D. Skeel",
title = "Construction of Variable-Stepsize Multistep Formulas",
journal = j-MATH-COMPUT,
volume = "47",
number = "176",
pages = "503--510, S45--S52",
month = oct,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "87j:65080",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Dept. of Comput. Sci., Illnois Univ., Urbana, IL,
USA",
keywords = "Adams formula; adaptable multistep methods;
backward-differentiation; differential equations; error
analysis; estimation; first Dahlquist barrier; fixed
leading coefficient method; fixed-coefficient methods;
fixed-stepsize; formula; formula changing; initial
value; interpolatory methods; local error; minimum
storage variable-stepsize; multistep formula; Nordsieck
stepsize changing technique; problems; step methods;
variable; variable coefficient methods; variable-order
family of variable-coefficient formulas",
treatment = "T Theoretical or Mathematical",
}
@Article{Skeel:1986:SCV,
author = "Robert D. Skeel",
title = "Supplement to Construction of Variable-Stepsize
Multistep Formulas",
journal = j-MATH-COMPUT,
volume = "47",
number = "176",
pages = "S45--S52",
month = oct,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Temme:1986:DIC,
author = "N. M. Temme",
title = "A double integral containing the modified {Bessel}
function: asymptotics and computation",
journal = j-MATH-COMPUT,
volume = "47",
number = "176",
pages = "683--691",
month = oct,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (41A60 65D30)",
MRnumber = "87m:33006",
MRreviewer = "S. D. Bajpai",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Centre for Math. and Comput. Sci., Amsterdam,
Netherlands",
keywords = "distribution function; double integral; error
analysis; error function; integral; integration;
modified Bessel function; normal; polynomials;
probability; series (mathematics); series expansions;
two-dimensional",
treatment = "T Theoretical or Mathematical",
}
@Article{Zaritskaya:1986:ACE,
author = "Z. V. Zaritskaya and A. I. Shva{\u{\i}} and P. \=E.
Antonyuk",
title = "Approximation of certain elementary functions in the
metric ${L}$. ({Russian})",
journal = "Vestnik L'vov. Politekhn. Inst.",
volume = "202",
pages = "38--40",
year = "1986",
MRclass = "149.41A10 (33A10)",
MRnumber = "87j:41030",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Agarwal:1987:CNS,
author = "Ramesh C. Agarwal and James W. Cooley and Fred G.
Gustavson and James B. Shearer and Gordon Slishman and
Bryant Tuckerman",
title = "Clarification: {``New scalar and vector elementary
functions for the IBM System/370''} [{IBM J. Res.
Develop. {\bf 30} (1986), no. 2, 126--144}]",
journal = j-IBM-JRD,
volume = "31",
number = "2",
pages = "274--274",
year = "1987",
CODEN = "IBMJAE",
ISSN = "0018-8646",
MRclass = "76W05",
MRnumber = "MR894626",
bibdate = "Wed Apr 13 06:46:35 2005",
note = "See \cite{Agarwal:1986:NSV}.",
acknowledgement = ack-nhfb,
fjournal = "International Business Machines Corporation. Journal
of Research and Development",
}
@PhdThesis{Braune:1987:HSF,
author = "K. Braune",
title = "{Hochgenaue Standardfunktionen f{\"u}r reelle und
komplexe Punkte und Intervalle in beliebigen
Gleitpunktrastern} \toenglish {High-Accuracy Elementary
Functions for Real and Complex Points and Intervals in
Arbitrary Floating-Point Systems} \endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1987",
bibdate = "Fri Sep 16 16:30:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Crandall:1987:EFE,
author = "R. E. Crandall and J. P. Buhler",
title = "Elementary function expansions for {Madelung}
constants",
journal = j-J-PHYS-A,
volume = "20",
number = "16",
pages = "5497--5510",
year = "1987",
CODEN = "JPHAC5",
ISSN = "0305-4470",
MRclass = "82A60 (82-08)",
MRnumber = "MR924725 (88m:82034)",
bibdate = "Wed Apr 13 06:46:35 2005",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. A. Mathematical and General",
}
@Article{Dunham:1987:PMAa,
author = "Charles B. Dunham",
title = "Provably monotone approximations",
journal = j-SIGNUM,
volume = "22",
number = "2",
pages = "6--11",
month = apr,
year = "1987",
CODEN = "SNEWD6",
DOI = "http://doi.acm.org/10.1145/24936.24938",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:50:15 MDT 2005",
bibsource = "http://portal.acm.org/",
acknowledgement = ack-nhfb,
keywords = "theory; verification",
subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation",
}
@Article{Dunham:1987:PMAb,
author = "Charles B. Dunham",
title = "Provably monotone approximations, {II}",
journal = j-SIGNUM,
volume = "22",
number = "3",
pages = "30--31",
month = jul,
year = "1987",
CODEN = "SNEWD6",
DOI = "http://doi.acm.org/10.1145/36318.36323",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:50:15 MDT 2005",
bibsource = "http://portal.acm.org/",
acknowledgement = ack-nhfb,
keywords = "theory",
subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation",
}
@Article{Gervais:1987:RAF,
author = "R. Gervais and Q. I. Rahman and G. Schmeisser",
title = "Representation and approximation of functions via
$(0,2)$-interpolation",
journal = j-J-APPROX-THEORY,
volume = "50",
number = "2",
pages = "89--110",
month = jun,
year = "1987",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "30719",
catcode = "G.1.2; G.1.1",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.1 Interpolation; G.1.1 Spline and
piecewise polynomial interpolation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Spline and piecewise polynomial
interpolation",
genterm = "theory; verification",
guideno = "1987-09238",
journalabbrev = "J. Approx. Theory",
jrldate = "June 1987",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@InProceedings{Kahan:1987:BCC,
author = "W. Kahan",
title = "Branch Cuts for Complex Elementary Functions or Much
Ado About Nothing's Sign Bit",
crossref = "Iserles:1987:SAN",
volume = "9",
pages = "165--211",
year = "1987",
MRclass = "65E05",
MRnumber = "88k:65027",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
series = "Inst. Math. Appl. Conf. Ser. New Ser.",
acknowledgement = ack-nhfb,
}
@PhdThesis{Kramer:1987:ISR,
author = "W. Kr{\"a}mer",
title = "Inverse Standardfunktionen f{\"u}r reelle und komplexe
Intervallargumente mit a priori Fehlerabsch{\"a}tzungen
f{\"u}r beliebige Datenformate \toenglish {Inverse
Elementary Functions for Real and Complex Interval
Arguments with {A}-Priori Error Estimates for Arbitrary
Data Formats} \endtoenglish",
type = "Dissertation",
school = "Universit{\"a}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "????",
year = "1987",
bibdate = "Fri Sep 16 16:30:41 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@MastersThesis{Liu:1987:BEF,
author = "Z. A. Liu",
title = "{Berkeley} Elementary Function Test Suite",
type = "{M.S.} thesis",
school = "Computer Science Division, Department of Electrical
Engineering and Computer Science, Univerity of
California at Berkeley",
address = "Berkeley, CA, USA",
month = dec,
year = "1987",
bibdate = "Mon Sep 12 23:52:34 1994",
acknowledgement = ack-nj,
}
@InProceedings{Mathis:1987:EFP,
author = "Robert F. Mathis",
title = "Elementary Functions Package for {Ada}",
crossref = "ACM:1987:UAA",
pages = "95--100",
month = dec,
year = "1987",
bibdate = "Mon May 19 13:30:58 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/ada.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Moricz:1987:ACF,
author = "Ferenc Moricz and Xianliang Shi",
title = "Approximation to continuous functions by {Cesaro}
means of double {Fourier} series and conjugate series",
journal = j-J-APPROX-THEORY,
volume = "49",
number = "4",
pages = "346--377",
month = apr,
year = "1987",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "30744",
catcode = "G.1.2; G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Least squares
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Least squares approximation",
genterm = "theory; verification",
guideno = "1987-09224",
journalabbrev = "J. Approx. Theory",
jrldate = "April 1987",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Musielak:1987:AEG,
author = "J. Musielak",
title = "Approximation of elements of a generalized {Orlicz}
sequence space by nonlinear, singular kernels",
journal = j-J-APPROX-THEORY,
volume = "50",
number = "4",
pages = "366--372",
month = aug,
year = "1987",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "30716",
catcode = "G.2.1; G.1.5; G.1.2",
CRclass = "G.2.1 Combinatorics; G.2.1 Generating functions; G.1.5
Roots of Nonlinear Equations; G.1.5 Convergence; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, DISCRETE MATHEMATICS,
Combinatorics, Generating functions; Mathematics of
Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
Equations, Convergence; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "theory; verification",
guideno = "1987-09257",
journalabbrev = "J. Approx. Theory",
jrldate = "Aug. 1987",
subject = "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Pereira:1987:CEC,
author = "N. Costa Pereira",
title = "Corrigendum: {``Estimates for the {Chebyshev} function
$\psi(x)-\theta(x)$''} {[Math. Comp. {\bf 44} (1985),
no. 169, 211--221, MR 86k:11005]}",
journal = j-MATH-COMPUT,
volume = "48",
number = "177",
pages = "447--447",
month = jan,
year = "1987",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A25 (11N45 11Y35 33A70)",
MRnumber = "87k:11006",
bibdate = "Thu Jun 15 07:27:03 2000",
note = "See \cite{Pereira:1985:ECF}.",
acknowledgement = ack-nhfb,
}
@Article{Proinov:1987:NIA,
author = "Petko D. Proinov",
title = "Numerical integration and approximation of
differentiable functions, {II}",
journal = j-J-APPROX-THEORY,
volume = "50",
number = "4",
pages = "373--393",
month = aug,
year = "1987",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "30717",
catcode = "G.1.4; G.1.2",
CRclass = "G.1.4 Quadrature and Numerical Differentiation; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Quadrature and Numerical Differentiation; Mathematics
of Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "theory; verification",
guideno = "1987-09258",
journalabbrev = "J. Approx. Theory",
jrldate = "Aug. 1987",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Smith:1987:BAM,
author = "P. W. Smith and J. J. Swetits",
title = "Best approximation by monotone functions",
journal = j-J-APPROX-THEORY,
volume = "49",
number = "4",
pages = "398--403",
month = apr,
year = "1987",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "30747",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory; verification",
guideno = "1987-09227",
journalabbrev = "J. Approx. Theory",
jrldate = "April 1987",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Book{Spanier:1987:AF,
author = "Jerome Spanier and Keith B. Oldham",
title = "An Atlas of Functions",
publisher = "Hemisphere Publishing Corporation",
address = "Washington, DC, USA",
pages = "ix + 700",
year = "1987",
ISBN = "0-89116-573-8, 3-540-17395-1",
ISBN-13 = "978-0-89116-573-6, 978-3-540-17395-3",
LCCN = "QA331 .S685 1987",
bibdate = "Fri Aug 31 16:20:13 MDT 2007",
bibsource = "z3950.loc.gov:7090/Voyager",
price = "US\$90.00 (est.)",
acknowledgement = ack-nhfb,
subject = "elementary functions; special functions; cognate
functions; complementary incomplete gamma function;
complementary modulus; complete beta function; complex
argument when; cosecant functions; cotangent functions;
digamma function; economized polynomial; error function
complement; eta numbers; function and its reciprocal;
hypergeometric algorithm; important definite integrals;
incomplete elliptic integrals; inverse gudermannian
function; inverse hyperbolic functions; negative
integer order; other definite integrals; parabolic
cylinder function; polygamma functions; purely
imaginary argument; reciprocal linear function;
reflection formula",
}
@Article{Stoyanov:1987:AE,
author = "Basil J. Stoyanov and Richard A. Farrell",
title = "On the Asymptotic Evaluation of $\int^{\pi/2}_0
{J}^2_0(\gamma \sin x) dx$",
journal = j-MATH-COMPUT,
volume = "49",
number = "179",
pages = "275--279",
month = jul,
year = "1987",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60 (65D30)",
MRnumber = "88e:41067",
MRreviewer = "Roderick Wong",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Analysis); C4180 (Integral equations)",
corpsource = "Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD,
USA",
keywords = "analytical expression; asymptotic behavior; asymptotic
evaluation; Bessel functions; first kind; integral;
integral equations; order Bessel function; positive
parameter; zeroth-",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Tanese:1987:PGA,
author = "Reiko Tanese",
editor = "John J. Grefenstette",
booktitle = "Genetic algorithms and their applications: proceedings
of the second International Conference on Genetic
Algorithms: July 28--31, 1987 at the Massachusetts
Institute of Technology, Cambridge, MA",
title = "Parallel genetic algorithms for a hypercube",
publisher = "Lawrence Erlbaum Associates, Inc.",
address = "Hillsdale, NJ, USA",
pages = "177--183",
year = "1987",
ISBN = "0-8058-0158-8, 0-8058-0159-6 (paperback)",
ISBN-13 = "978-0-8058-0158-3, 978-0-8058-0159-0 (paperback)",
LCCN = "Q334 .I5561 1987",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
price = "US\$39.95",
acknowledgement = ack-nhfb,
bibno = "42536",
bookpages = "260",
catcode = "I.2.6; G.1.0; G.1.2; C.1.2",
CRclass = "I.2.6 Learning; I.2.6 Analogies; G.1.0 General; G.1.0
Parallel algorithms; G.1.2 Approximation; G.1.2
Elementary function approximation; C.1.2 Multiple Data
Stream Architectures (Multiprocessors); C.1.2 Parallel
processors",
descriptor = "Computing Methodologies, ARTIFICIAL INTELLIGENCE,
Learning, Analogies; Mathematics of Computing,
NUMERICAL ANALYSIS, General, Parallel algorithms;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Computer Systems Organization, PROCESSOR ARCHITECTURES,
Multiple Data Stream Architectures (Multiprocessors),
Parallel processors",
genterm = "algorithms; performance; experimentation",
guideno = "1988-16888",
procdate = "Sponsored by Amer. Assoc. for AI, Naval Res. Lab. and
Bolt Beranek & Newman, July 28-31, 1987",
procloc = "Cambridge, MA",
subject = "I. Computing Methodologies; I.2 ARTIFICIAL
INTELLIGENCE; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; C. Computer Systems Organization;
C.1 PROCESSOR ARCHITECTURES",
}
@Article{Thompson:1987:IEF,
author = "Peter Thompson",
title = "Implementing an Elementary Function Library",
journal = j-SIGNUM,
volume = "22",
number = "2",
pages = "2--5",
month = apr,
year = "1987",
CODEN = "SNEWD6",
ISSN = "0163-5778",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991);
garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nhfb # " and " # ack-nj,
bibno = "24937",
catcode = "G.m; D.3.2",
CRclass = "D.3.2 Language Classifications; D.3.2 OCCAM",
descriptor = "Mathematics of Computing, MISCELLANEOUS; Software,
PROGRAMMING LANGUAGES, Language Classifications,
OCCAM",
genterm = "theory; languages",
guideno = "1987-03363",
journalabbrev = "SIGNUM Newsl.",
jrldate = "April 1987",
subject = "G. Mathematics of Computing; G.m MISCELLANEOUS; D.
Software; D.3 PROGRAMMING LANGUAGES",
}
@Article{Timan:1987:DFP,
author = "A. F. Timan",
title = "Distribution of fractional parts and approximation of
functions with singularities by {Bernstein}
polynomials",
journal = j-J-APPROX-THEORY,
volume = "50",
number = "2",
pages = "167--174",
month = jun,
year = "1987",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "30725",
catcode = "G.1.5; G.1.2",
CRclass = "G.1.5 Roots of Nonlinear Equations; G.1.5 Polynomials,
methods for; G.1.2 Approximation; G.1.2 Elementary
function approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
Nonlinear Equations, Polynomials, methods for;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory; verification",
guideno = "1987-09244",
journalabbrev = "J. Approx. Theory",
jrldate = "June 1987",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Zwick:1987:BAC,
author = "D. Zwick",
title = "Best approximation by convex functions",
journal = j-AMER-MATH-MONTHLY,
volume = "94",
number = "6",
pages = "528--534",
month = jul,
year = "1987",
CODEN = "AMMYAE",
ISSN = "0002-9890",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "University of Vermont, Vermont, NY",
bibno = "43727",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory; verification",
guideno = "1988-04405",
journalabbrev = "Am. Math. Monthly",
jrldate = "June/July 1987",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Book{Aberth:1988:PNA,
author = "Oliver Aberth",
title = "Precise Numerical Analysis",
publisher = pub-WCB,
address = pub-WCB:adr,
pages = "x + 225",
year = "1988",
ISBN = "0-697-06760-2",
ISBN-13 = "978-0-697-06760-9",
LCCN = "QA297 .A28 1988",
bibsource = "file://sunrise/u/sy/beebe/tex/bib/all_brec.bib",
abstract = "Aberth addresses elementary issues of precise floating
point computations using variable precision range
arithmetic. Numbers are represented as a variable
precision number $\pm$ a range. Rational arithmetic is
also considered. Chapters are devoted to
\begin{enumerate} \item rootfinding, \item polynomial
rootfinding, \item numerical linear algebra, \item
differentiation and integration, and \item ordinary
differential equations.\end{enumerate} Differentiation
is handled by a codelist approach like [Rall81a], and
applications to Taylor series are given. Interval
techniques for ordinary differential equations are
based on using an {\it a priori\/} bound to capture
remainder terms. Several methods are illustrated,
including Taylor series methods.",
acknowledgement = ack-nj,
comment = "Text for a one semester, junior level course in
numerical analysis. Includes PC disk with software
written in PBASIC. Sound introductory level discussion
of code lists and error capture techniques.",
keywords = "general numerical analysis; interval techniques;
differentiation arithmetic; variable precision
arithmetic; linear algebra; differentiation;
integration; ordinary differential equations.",
}
@Article{Alonso:1988:SCN,
author = "Javier Alonso and Carlos Benitez",
title = "Some characteristic and non-characteristic properties
of inner product spaces",
journal = j-J-APPROX-THEORY,
volume = "55",
number = "3",
pages = "318--325",
month = dec,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56052",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "theory; verification",
guideno = "1988-10198",
journalabbrev = "J. Approx. Theory",
jrldate = "Dec. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Bloom:1988:LCL,
author = "Thomas Bloom",
title = "The {Lebesgue} constant for {Lagrange} interpolation
in the simplex",
journal = j-J-APPROX-THEORY,
volume = "54",
number = "3",
pages = "338--353",
month = sep,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56887",
catcode = "G.1.1; G.1.2; G.1.2; G.1.7; G.1.7",
CRclass = "G.1.1 Interpolation; G.1.1 Interpolation formulas;
G.1.2 Approximation; G.1.2 Minimax approximation and
algorithms; G.1.2 Approximation; G.1.2 Elementary
function approximation; G.1.7 Ordinary Differential
Equations; G.1.7 Convergence and stability; G.1.7
Ordinary Differential Equations; G.1.7 Boundary value
problems",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Interpolation formulas; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Minimax
approximation and algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations, Convergence
and stability; Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations, Boundary
value problems",
guideno = "1988-10170",
journalabbrev = "J. Approx. Theory",
jrldate = "Sept. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Borwein:1988:CFF,
author = "J. M. Borwein and P. B. Borwein",
title = "On the complexity of familiar functions and numbers",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "589--601",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "58008",
catcode = "G.1.2; F.2.1; F.1.3",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; F.2.1 Numerical Algorithms and Problems;
F.1.3 Complexity Classes",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
Complexity Classes",
genterm = "algorithms; theory; performance",
guideno = "1988-13907",
journalabbrev = "SIAM Rev.",
jrldate = "Dec. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1
COMPUTATION BY ABSTRACT DEVICES",
}
@Article{Borwein:1988:PAE,
author = "Peter B. Borwein",
title = "Pad{\'e} approximants for the $q$-elementary
functions",
journal = j-CONST-APPROX,
volume = "4",
number = "4",
pages = "391--402",
year = "1988",
ISSN = "0176-4276",
MRclass = "41A21 (33A10 41A20)",
MRnumber = "89f:41022",
MRreviewer = "Annie A. M. Cuyt",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cartwright:1988:JTC,
author = "Donald I. Cartwright and Krzysztof Kucharski",
title = "{Jackson's Theorem} for compact connect {Lie} groups",
journal = j-J-APPROX-THEORY,
volume = "55",
number = "3",
pages = "352--359",
month = dec,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56056",
catcode = "G.2.m; G.1.2",
CRclass = "G.2.m Miscellaneous; G.1.2 Approximation; G.1.2
Elementary function approximation",
descriptor = "Mathematics of Computing, DISCRETE MATHEMATICS,
Miscellaneous; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "verification; theory",
guideno = "1988-10202",
journalabbrev = "J. Approx. Theory",
jrldate = "Dec. 1988",
subject = "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Cover:1988:DII,
author = "Thomas M. Cover and Joy A. Thomas",
title = "Determinant inequalities via information theory",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "9",
number = "3",
pages = "384--392",
month = jul,
year = "1988",
CODEN = "SJMAEL",
ISSN = "0895-4798",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "58040",
catcode = "H.1.1; G.1.3; F.2.1; G.1.2",
CRclass = "H.1.1 Systems and Information Theory; H.1.1
Information theory; G.1.3 Numerical Linear Algebra;
G.1.3 Determinants; F.2.1 Numerical Algorithms and
Problems; F.2.1 Computations on matrices; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Information Systems, MODELS AND PRINCIPLES, Systems
and Information Theory, Information theory; Mathematics
of Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, Determinants; Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations on matrices;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms; theory; performance",
guideno = "1988-13777",
journalabbrev = "SIAM J. Matrix Anal. Appl.",
jrldate = "July 1988",
subject = "H. Information Systems; H.1 MODELS AND PRINCIPLES; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@InProceedings{Davenport:1988:ICF,
author = "J. H. Davenport",
editor = "N. M. Stephens and M. P. Thorne",
booktitle = "Computers in mathematical research: based on the
proceedings of a conference organized by the Institute
of Mathematics and its Applications on computers in
mathematical research, held at University College,
Cardiff in September 1986",
title = "Integration in closed form",
volume = "14",
publisher = pub-CLARENDON-PRESS,
address = pub-CLARENDON-PRESS:adr,
year = "1988",
ISBN = "0-19-853620-8",
ISBN-13 = "978-0-19-853620-8",
LCCN = "QA11.A1 C618 1986",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
price = "US\$57.50",
series = "Institute of Mathematics and its applications
conference series, new series",
acknowledgement = ack-nhfb,
affiliation = "Univ. of Bath",
bibno = "52474",
bookpages = "235",
catcode = "J.2; F.2.1; G.1.2; G.1.2; I.2.9; F.2.1",
CRclass = "J.2 Mathematics and statistics; F.2.1 Numerical
Algorithms and Problems; F.2.1 Number-theoretic
computations; G.1.2 Approximation; G.1.2 Rational
approximation; G.1.2 Approximation; G.1.2 Elementary
function approximation; I.2.9 Robotics; F.2.1 Numerical
Algorithms and Problems; F.2.1 Computations in finite
fields",
descriptor = "Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Mathematics and statistics; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Number-theoretic computations; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Rational
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Computing Methodologies, ARTIFICIAL
INTELLIGENCE, Robotics; Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations in finite
fields",
genterm = "algorithms; theory",
guideno = "1988-16247",
page = "119--134",
procdate = "Sept. 1986",
procloc = "Cardiff, Wales",
subject = "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
ENGINEERING; F. Theory of Computation; F.2 ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS; I. Computing
Methodologies; I.2 ARTIFICIAL INTELLIGENCE; F. Theory
of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY",
waffil = "Univ. College, Cardiff, Wales; Univ. College, Cardiff,
Wales",
}
@Article{Dunham:1988:PMA,
author = "Charles B. Dunham",
title = "Provably monotone approximations, {III}",
journal = j-SIGNUM,
volume = "23",
number = "1",
pages = "10--10",
month = jan,
year = "1988",
CODEN = "SNEWD6",
DOI = "http://doi.acm.org/10.1145/43931.43934",
ISSN = "0163-5778",
bibdate = "Tue Apr 12 07:50:16 MDT 2005",
bibsource = "http://portal.acm.org/",
acknowledgement = ack-nhfb,
keywords = "theory",
subject = "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation",
}
@TechReport{Duprat:1988:EPE,
author = "J. Duprat and J. M. Muller",
title = "Evaluation of Polynomials and elementary Functions by
integrated Circuits",
number = "RR698-I",
institution = "IMAG",
address = "Grenoble, France",
month = jan,
year = "1988",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/eureca.bib.gz",
acknowledgement = ack-nhfb,
}
@Article{Duprat:1988:HPE,
author = "Jean Duprat and Jean-Michel Muller",
title = "Hardwired polynomial evaluation",
journal = j-J-PAR-DIST-COMP,
volume = "5",
number = "3",
pages = "291--309",
month = jun,
year = "1988",
CODEN = "JPDCER",
ISSN = "0743-7315",
bibdate = "Sat Apr 12 19:06:31 MDT 1997",
bibsource = "Compendex database",
acknowledgement = ack-nhfb,
affiliationaddress = "CNRS, Grenoble, Fr",
classification = "721; 722; 723; 921; C4130 (Interpolation and
function approximation); C5230 (Digital arithmetic
methods)",
corpsource = "Inst. Nat. Polytech. de Grenoble, France",
journalabr = "J Parallel Distrib Comput",
keywords = "computer architecture; computers, digital ---
Circuits; digital arithmetic; elementary functions;
hardwired polynomial evaluation; mathematical
functions; mathematical techniques; Polynomials;
polynomials; special-purpose circuits; VLSI
implementation; VLSI implementation",
treatment = "P Practical",
}
@Article{Feng:1988:AIN,
author = "Y. Y. Feng and J. Kozak",
title = "An approach to the interpolation of nonuniformly
spaced data",
journal = j-J-COMP-APPL-MATH,
volume = "23",
number = "2",
pages = "169--178",
month = aug,
year = "1988",
CODEN = "JCAMDI",
ISSN = "0377-0427",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56475",
catcode = "G.1.1; G.1.2; G.1.7; G.1.1; G.1.4",
CRclass = "G.1.1 Interpolation; G.1.1 Spline and piecewise
polynomial interpolation; G.1.2 Approximation; G.1.2
Elementary function approximation; G.1.7 Ordinary
Differential Equations; G.1.7 Boundary value problems;
G.1.1 Interpolation; G.1.1 Smoothing; G.1.4 Quadrature
and Numerical Differentiation; G.1.4 Error analysis",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Spline and piecewise polynomial
interpolation; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Ordinary Differential Equations, Boundary
value problems; Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation, Smoothing; Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation, Error analysis",
genterm = "algorithms; theory",
guideno = "1988-10490",
journalabbrev = "J. Comput. Appl. Math.",
jrldate = "August 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Gawronski:1988:ZLT,
author = "Wolfgang Gawronski and Ulrich Stadtm{\"u}ller",
title = "On the zeros of {Lerch}'s transcendental function of
real parameters",
journal = j-J-APPROX-THEORY,
volume = "53",
number = "3",
pages = "354--364",
month = jun,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of Trier, Trier, FRG; Univ. of Ulm, Ulm, FRG",
bibno = "49727",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "verification; theory",
guideno = "1988-10146",
journalabbrev = "J. Approx. Theory",
jrldate = "June 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Heilmann:1988:SSM,
author = "Margareta Heilmann",
title = "{$L_p$}-saturation of some modified {Bernstein}
operators",
journal = j-J-APPROX-THEORY,
volume = "54",
number = "3",
pages = "260--273",
month = sep,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56880",
catcode = "G.1.2; G.1.9; G.1.7; G.1.7",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.9 Integral Equations; G.1.9
Integro-differential equations; G.1.7 Ordinary
Differential Equations; G.1.7 Boundary value problems;
G.1.7 Ordinary Differential Equations; G.1.7
Convergence and stability",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS, Integral
Equations, Integro-differential equations; Mathematics
of Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Boundary value problems; Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Convergence and stability",
genterm = "algorithms; theory",
guideno = "1988-10163",
journalabbrev = "J. Approx. Theory",
jrldate = "Sept. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Horwitz:1988:TPF,
author = "Alan L. Horwitz and Lee A. Rubel",
title = "Totally positive functions and totally bounded
functions on $[-1,1]$",
journal = j-J-APPROX-THEORY,
volume = "52",
number = "2",
pages = "204--216",
month = feb,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Pennsylvania State Univ., University Park; Univ. of
Illinois, Urbana",
bibno = "49653",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "verification; theory",
guideno = "1988-10106",
journalabbrev = "J. Approx. Theory",
jrldate = "February 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@InProceedings{Johnsson:1988:DPP,
author = "S. L. Johnsson",
editor = "J. R. Rice",
booktitle = "Mathematical aspects of scientific software",
title = "Data parallel programming and basic linear algebra
subroutines",
volume = "14",
publisher = pub-SV,
address = pub-SV:adr,
pages = "183--196",
year = "1988",
ISBN = "0-387-96706-0",
ISBN-13 = "978-0-387-96706-6",
LCCN = "QA76.76.D47 M366 1988",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
series = "The IMS volumes in mathematics and its applications",
acknowledgement = ack-nhfb,
bibno = "42725",
bookpages = "vi + 208",
catcode = "G.1.2; D.1.m; G.4",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; D.1.m Miscellaneous",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Software, PROGRAMMING TECHNIQUES, Miscellaneous;
Mathematics of Computing, MATHEMATICAL SOFTWARE",
genterm = "theory; algorithms; design; languages",
guideno = "1988-02324",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
D. Software; D.1 PROGRAMMING TECHNIQUES; G. Mathematics
of Computing; G.4 MATHEMATICAL SOFTWARE",
waffil = "Purdue Univ., West Lafayette, IN",
}
@Article{Kowalski:1988:ASP,
author = "Marek Kowalski and Waldemar Sielski",
title = "Approximation of smooth periodic functions in several
variables",
journal = j-J-COMPLEXITY,
volume = "4",
number = "4",
pages = "356--372",
month = dec,
year = "1988",
CODEN = "JOCOEH",
ISSN = "0885-064X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56811",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms; verification; theory",
guideno = "1988-10411",
journalabbrev = "J. Complexity",
jrldate = "Dec. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Kramer:1988:ISF,
author = "W. Kramer",
title = "Inverse standard functions for real and complex point
and interval arguments with dynamic accuracy",
journal = j-COMPUTING-SUPPLEMENTUM,
pages = "185--212",
year = "1988",
CODEN = "COSPDM",
ISSN = "0344-8029",
bibdate = "Thu Dec 14 17:19:38 MST 1995",
note = "Computer Arithmetic and Scientific Computation.",
abstract = "Algorithms to compute inverse standard functions to
arbitrary accuracy with safe error bounds are given.
Not only approximation errors but also all possible
rounding errors are considered. The desired accuracy of
the function as well as the base of the number system
used are parameters of the error formula. For
implementation it is only assumed that the four
elementary arithmetic operations are performed with a
certain number of correct digits of the function value.
The interval routines are constructed out of the point
routines considering the monotonicity behaviour of the
functions. The ambiguity of the complex functions is
briefly discussed.",
acknowledgement = ack-nhfb,
affiliation = "Karlsruhe Univ., West Germany",
classification = "B0290F (Interpolation and function approximation);
B0290B (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4110
(Error analysis in numerical methods)",
confdate = "30 Sept.-2 Oct. 1987",
conflocation = "Karlsruhe, West Germany",
confsponsor = "Karlsruhe Univ.; GAMM Committee",
issue = "no.6 p. 185-212",
keywords = "Interval arguments; Dynamic accuracy; Inverse standard
functions; Approximation errors; Rounding errors; Error
formula; Monotonicity behaviour",
language = "English",
pubcountry = "Austria",
thesaurus = "Error analysis; Function approximation",
}
@Article{Lou:1988:ETR,
author = "Lou van den Dries",
title = "On the elementary theory of restricted elementary
functions",
journal = j-J-SYMBOLIC-LOGIC,
volume = "53",
number = "3",
pages = "796--808",
year = "1988",
CODEN = "JSYLA6",
ISSN = "0022-4812",
MRclass = "03C65 (03C40 03C68 12L12)",
MRnumber = "89i:03074",
MRreviewer = "M. Yasuhara",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mimachi:1988:PRI,
author = "Katsuhisa Mimachi",
title = "A proof of {Ramanujan}'s identity by use of loop
integrals",
journal = j-SIAM-J-MATH-ANA,
volume = "19",
number = "6",
pages = "1490--1493",
month = nov,
year = "1988",
CODEN = "SJMAAH",
ISSN = "0036-1410",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "58904",
catcode = "G.1.9; G.1.2; F.2.2",
CRclass = "G.1.9 Integral Equations; G.1.9 Integro-differential
equations; G.1.2 Approximation; G.1.2 Elementary
function approximation; F.2.2 Nonnumerical Algorithms
and Problems; F.2.2 Geometrical problems and
computations",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Integral
Equations, Integro-differential equations; Mathematics
of Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Geometrical problems and computations",
genterm = "algorithms; theory",
guideno = "1988-13744",
journalabbrev = "SIAM J. Math. Anal.",
jrldate = "Nov. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY",
}
@Article{Olver:1988:EBL,
author = "F. W. J. Olver",
title = "Error Bounds for Linear Recurrence Relations",
journal = j-MATH-COMPUT,
volume = "50",
number = "182",
pages = "481--499",
month = apr,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65Q05 (39A10 65G05)",
MRnumber = "89e:65146",
MRreviewer = "B. Choczewski",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Maryland Univ., College Park, MD, USA",
keywords = "a posteriori methods; analysis; Bessel function;
bounds; computational complexity; difference equations;
error; homogeneous second order; Legendre function;
linear recurrence relations; monotonic systems;
numerical examples; O(r) arithmetic operations;
oscillatory systems; realistic error; relations;
rounded interval arithmetic",
treatment = "T Theoretical or Mathematical",
}
@Article{Polyak:1988:SOM,
author = "R. A. Polyak",
title = "Smooth optimization methods for minimax problems",
journal = j-SIAM-J-CONTROL-OPTIM,
volume = "26",
number = "6",
pages = "1274--1286",
month = nov,
year = "1988",
CODEN = "SJCODC",
ISSN = "0363-0129",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "57989",
catcode = "G.1.6; G.1.2; F.2.1; G.1.2",
CRclass = "G.1.6 Optimization; G.1.6 Nonlinear programming; G.1.2
Approximation; G.1.2 Minimax approximation and
algorithms; F.2.1 Numerical Algorithms and Problems;
F.2.1 Computation of transforms; G.1.2 Approximation;
G.1.2 Elementary function approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Nonlinear programming; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Minimax
approximation and algorithms; Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Numerical Algorithms and Problems, Computation of
transforms; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; theory; performance",
guideno = "1988-13621",
journalabbrev = "SIAM J. Control Optim.",
jrldate = "Nov. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@InCollection{Powell:1988:RBF,
author = "J. D. Powell",
editor = "D. F. (David Francis) Griffiths and G. A. Watson",
booktitle = "Numerical analysis 1987",
title = "Radial basis function approximations to polynomials",
volume = "170",
publisher = "Longman, Inc.",
address = "New York, NY, USA",
pages = "223--241",
year = "1988",
ISBN = "0-582-02157-X",
ISBN-13 = "978-0-582-02157-0",
LCCN = "QA297.N828 1988",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
price = "US\$54.95",
series = "Pitman research notes in mathematics series",
acknowledgement = ack-nhfb,
bibno = "54996",
bookpages = "300",
catcode = "G.1.2; G.1.2; G.1.9; G.1.1; G.3; G.1.7",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Spline and
piecewise polynomial approximation; G.1.9 Integral
Equations; G.1.9 Integro-differential equations; G.1.1
Interpolation; G.1.1 Spline and piecewise polynomial
interpolation; G.3 Statistical computing; G.1.7
Ordinary Differential Equations; G.1.7 Convergence and
stability",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Spline and piecewise polynomial
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Integral Equations, Integro-differential
equations; Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation, Spline and piecewise
polynomial interpolation; Mathematics of Computing,
PROBABILITY AND STATISTICS, Statistical computing;
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Convergence and stability",
genterm = "algorithms; performance",
guideno = "1988-01246",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
waffil = "Univ. of Dundee; Univ. of Dundee",
}
@Article{Proinov:1988:ISF,
author = "Petko D. Proinov",
title = "Integration of smooth functions and
$\phi$-discrepancy",
journal = j-J-APPROX-THEORY,
volume = "52",
number = "3",
pages = "284--292",
month = mar,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of Plovdiv, Plovdiv, Bulgaria",
bibno = "49659",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "verification; theory",
guideno = "1988-10111",
journalabbrev = "J. Approx. Theory",
jrldate = "March 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Richardson:1988:NMT,
author = "Daniel Richardson",
title = "Nonstandard models of the theory of elementary
functions of a real variable",
journal = j-Z-MATH-LOGIK-GRUNDL-MATH,
volume = "34",
number = "4",
pages = "355--372",
year = "1988",
CODEN = "ZMLGAQ",
ISBN = "0044-3050",
ISBN-13 = "0044-3050",
ISSN = "0044-3050",
MRclass = "03B30 (03C62 03H15 26E35)",
MRnumber = "90a:03009",
MRreviewer = "Reuven H. Gurevi{\v{c}}",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ruscheweyh:1988:EST,
author = "Stephan Ruscheweyh",
title = "Extension of {Szeg{\H{o}}}'s theorem on the sections
of univalent functions",
journal = j-SIAM-J-MATH-ANA,
volume = "19",
number = "6",
pages = "1442--1449",
month = nov,
year = "1988",
CODEN = "SJMAAH",
ISSN = "0036-1410",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "58899",
catcode = "G.1.2; G.1.9; F.2.2; F.2.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.9 Integral Equations; G.1.9
Integro-differential equations; F.2.2 Nonnumerical
Algorithms and Problems; F.2.2 Computations on discrete
structures; F.2.2 Nonnumerical Algorithms and Problems;
F.2.2 Geometrical problems and computations",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS, Integral
Equations, Integro-differential equations; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Computations on discrete structures; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Geometrical problems and computations",
genterm = "algorithms; theory",
guideno = "1988-13739",
journalabbrev = "SIAM J. Math. Anal.",
jrldate = "Nov. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
}
@InProceedings{Schwarz:1988:CLI,
author = "Jerry Schwarz",
title = "A {C++} Library for Infinite Precision Floating
Point",
crossref = "USENIX:1988:UPC",
pages = "271--281",
year = "1988",
bibdate = "Tue Dec 12 09:20:21 MST 1995",
bibsource = "ftp://ftp.uu.net/library/bibliography",
abstract = "The Real library supports infinite precision floating
point computation in C++. Arbitrary precision rational
arithmetic and transcendental functions are
supported.",
acknowledgement = ack-nhfb,
affiliation = "AT\&T Bell Laboratories, Murray Hill",
bookpages = "362",
classification = "C6130 (Data handling techniques); C5230 (Digital
arithmetic methods)",
confdate = "17--21 Oct. 1988",
conflocation = "Denver, CO, USA",
keywords = "C++ library; Infinite precision floating point; Real
library; Rational arithmetic; Transcendental
functions",
language = "English",
pubcountry = "USA",
thesaurus = "C language; Digital arithmetic; Object-oriented
programming; Subroutines",
}
@InProceedings{Sobczyk:1988:SMA,
author = "Kazimierz Sobczyk",
editor = "W. Schiehlen and W. Wedig",
booktitle = "Analysis and estimation of stochastic mechanical
systems",
title = "Stochastic modelling and analysis of fatigue",
volume = "303",
publisher = pub-SV,
address = pub-SV:adr,
pages = "269--313",
year = "1988",
ISBN = "0-387-82058-2",
ISBN-13 = "978-0-387-82058-3",
LCCN = "TA350.3.I5 no.303; TJ173 .A531 1988",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
series = "Courses and lectures",
acknowledgement = ack-nhfb,
bibno = "58064",
bookpages = "350",
catcode = "J.2; I.6.3; G.1.8; G.3; G.1.2; G.1.9",
CRclass = "J.2 Engineering; I.6.3 Applications; G.1.8 Partial
Differential Equations; G.1.8 Difference methods; G.3
Probabilistic algorithms (including Monte Carlo); G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.9 Integral Equations; G.1.9 Integro-differential
equations",
descriptor = "Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Engineering; Computing Methodologies,
SIMULATION AND MODELING, Applications; Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations, Difference methods; Mathematics of
Computing, PROBABILITY AND STATISTICS, Probabilistic
algorithms (including Monte Carlo); Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Integral Equations,
Integro-differential equations",
genterm = "algorithms; theory; design; measurement; reliability",
guideno = "1988-17476",
procdate = "1987",
procloc = "International Centre for Mechanical Sciences in
Udine",
subject = "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
ENGINEERING; I. Computing Methodologies; I.6 SIMULATION
AND MODELING; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3
PROBABILITY AND STATISTICS; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS",
waffil = "Univ. of Stuttgart; Univ. of Karlsruhe",
}
@Article{Stephens:1988:SCR,
author = "A. J. Stephens and H. C. Williams",
title = "Some computational results on a problem concerning
powerful numbers",
journal = j-MATH-COMPUT,
volume = "50",
number = "182",
pages = "619--632",
month = apr,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R11 (11A51 11R27 11Y16 11Y40)",
MRnumber = "89d:11091",
MRreviewer = "H. J. Godwin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics);
C1110 (Algebra); C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man.,
Canada",
keywords = "computational complexity; continued; fractions; free
integer; fundamental unit; number theory; positive
square-; real quadratic number fields; regulator
algorithm Amdahl 5850; step algorithm; time complexity
$O(D^{1/4+\epsilon})$",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@InProceedings{Stillinger:1988:CPS,
author = "Frank H. Stillinger",
editor = "Donald G. Truhlar",
booktitle = "Mathematical frontiers in computational chemical
physics",
title = "Collective phenomena in statistical mechanics and the
geometry of potential energy hypersurfaces",
volume = "15",
publisher = pub-SV,
address = pub-SV:adr,
pages = "157--173",
year = "1988",
ISBN = "0-387-96782-6",
ISBN-13 = "978-0-387-96782-0",
LCCN = "QD455.3.M3 M38 1988",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
note = "Proceedings of the Workshop on Atomic and Molecular
Structure and Dynamics, held June 15--July 24, 1987, at
the Institute for Mathematics and Its Applications,
University of Minnesota.",
price = "US\$36.80",
series = "The IMA volumes in mathematics and its applications",
acknowledgement = ack-nhfb,
bibno = "58051",
bookpages = "xii + 349",
catcode = "J.2; J.2; J.2; F.2.2; G.3; G.1.2",
CRclass = "J.2 Physics; J.2 Chemistry; J.2 Engineering; F.2.2
Nonnumerical Algorithms and Problems; F.2.2 Geometrical
problems and computations; G.3 Statistical computing;
G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Physics; Computer Applications, PHYSICAL
SCIENCES AND ENGINEERING, Chemistry; Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING,
Engineering; Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Geometrical problems and
computations; Mathematics of Computing, PROBABILITY AND
STATISTICS, Statistical computing; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "algorithms; theory",
guideno = "1988-17776",
procdate = "1982",
procloc = "Univ. of Minnesota, Minneapolis",
subject = "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
ENGINEERING; J. Computer Applications; J.2 PHYSICAL
SCIENCES AND ENGINEERING; J. Computer Applications; J.2
PHYSICAL SCIENCES AND ENGINEERING; F. Theory of
Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY; G. Mathematics of Computing; G.3
PROBABILITY AND STATISTICS; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS",
waffil = "Univ. of Minnesota, Minneapolis",
}
@Article{Sun:1988:SAF,
author = "Xiehua Sun",
title = "On the simultaneous approximation of functions and
their derivatives by the {Szasz-Mirakyan} operator",
journal = j-J-APPROX-THEORY,
volume = "55",
number = "3",
pages = "279--288",
month = dec,
year = "1988",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "56048",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "verification; theory",
guideno = "1988-10194",
journalabbrev = "J. Approx. Theory",
jrldate = "Dec. 1988",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@TechReport{Tang:1988:PIG,
author = "Ping Tak Peter Tang",
title = "Portable Implementation of a Generic Exponential
Function",
type = "Technical report",
number = "ANL-88-3",
institution = inst-ANL,
address = inst-ANL:adr,
year = "1988",
bibdate = "Fri Dec 28 11:27:51 2007",
acknowledgement = ack-nhfb,
}
@Book{vanRijckevorsek:1988:CCA,
editor = "Jan L. A. van Rijckevorsek and Jan de Leeus",
title = "Component and correspondence analysis: dimension
reduction by functional approximation",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xiii + 146",
year = "1988",
ISBN = "0-471-91847-4",
ISBN-13 = "978-0-471-91847-9",
LCCN = "QA278.5 .C6571 1988",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
price = "US\$40",
series = "Wiley series in probability and mathematical
statistics",
acknowledgement = ack-nhfb,
bibno = "59092",
catcode = "G.1.2; G.3",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.3 Statistical computing",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing",
genterm = "theory; algorithms",
guideno = "1988-03042",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS",
}
@Article{Wong:1988:AE,
author = "R. Wong",
title = "Asymptotic Expansion of $\int^{\pi/2}_0
{J}^2_\nu(\lambda \cos \theta) d\theta$",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "229--234",
month = jan,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60 (33A40)",
MRnumber = "89g:41022",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0270
(Computational techniques); C4130 (Interpolation and
function approximation); C4160 (Numerical integration
and differentiation)",
corpsource = "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man.,
Canada",
keywords = "asymptotic expansion; Bessel function; Bessel
functions; crystallography; diffraction theory;
function approximation; integral; integration",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Ahmed:1989:EEF,
author = "H. M. Ahmed",
title = "Efficient Elementary Function Generation with
Multipliers",
crossref = "Ercegovac:1989:PSC",
pages = "52--59",
year = "1989",
bibdate = "Sat Nov 27 14:19:10 MST 2004",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
acknowledgement = ack-nhfb # " and " # ack-nj,
}
@Article{Armbruster:1989:KSD,
author = "Dieter Armbruster and John Guckenheimer and Philip
Holmes",
title = "{Kuramoto-Sivashinsky} dynamics on the center-unstable
manifold",
journal = j-SIAM-J-APPL-MATH,
volume = "49",
number = "3",
pages = "676--691",
month = jun,
year = "1989",
CODEN = "SMJMAP",
ISSN = "0036-1399",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Cornell Univ., Ithaca, NY; Cornell Univ., Ithaca, NY;
Cornell Univ., Ithaca, NY",
bibno = "64938",
catcode = "G.1.7; G.1.7; G.1.0; J.2; G.1.2; G.1.8",
CRclass = "G.1.7 Ordinary Differential Equations; G.1.7
Convergence and stability; G.1.7 Ordinary Differential
Equations; G.1.7 Boundary value problems; G.1.0
General; G.1.0 Numerical algorithms; J.2 Physics; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.8 Partial Differential Equations",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Convergence and stability;
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Boundary value problems;
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Numerical algorithms; Computer Applications, PHYSICAL
SCIENCES AND ENGINEERING, Physics; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations",
genterm = "algorithms; theory; experimentation",
guideno = "1989-09707",
journalabbrev = "SIAM J. Appl. Math.",
jrldate = "June 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J.
Computer Applications; J.2 PHYSICAL SCIENCES AND
ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@Article{Avellaneda:1989:OBE,
author = "Marco Avellaneda and Graeme W. Milton",
title = "Optimal bounds on the effective bulk modulus of
polycrystals",
journal = j-SIAM-J-APPL-MATH,
volume = "49",
number = "3",
pages = "824--837",
month = jun,
year = "1989",
CODEN = "SMJMAP",
ISSN = "0036-1399",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "64947",
catcode = "G.1.8; J.2; G.1.2; G.1.6",
CRclass = "G.1.8 Partial Differential Equations; G.1.8 Difference
methods; J.2 Physics; G.1.2 Approximation; G.1.2
Elementary function approximation; G.1.6 Optimization;
G.1.6 Constrained optimization",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
Differential Equations, Difference methods; Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING,
Physics; Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Constrained optimization",
genterm = "algorithms; theory; experimentation",
guideno = "1989-09716",
journalabbrev = "SIAM J. Appl. Math.",
jrldate = "June 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
J. Computer Applications; J.2 PHYSICAL SCIENCES AND
ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@Article{Belaga:1989:TMM,
author = "E. G. Belaga",
title = "Through the mincing machine with a {Boolean} layer
cake: nonstandard computations over {Boolean} circuits
in the lower-bounds-to-circuit-size complexity
proving",
journal = j-ACTA-INFO,
volume = "26",
number = "4",
pages = "381--407",
month = feb,
year = "1989",
CODEN = "AINFA2",
ISSN = "0001-5903",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. Louis Pasteur, Strasbourg Cedex, France and
Univ. su Pisa, Pisa, Italy",
bibno = "69310",
catcode = "F.4.1; B.6.1; F.1.1; F.1.3; F.2.2; F.1.2; G.1.2;
F.2.2",
CRclass = "F.4.1 Mathematical Logic; F.4.1 Computational logic;
B.6.1 Design Styles; B.6.1 Combinational logic; F.1.1
Models of Computation; F.1.1 Unbounded-action devices;
F.1.3 Complexity Classes; F.2.2 Nonnumerical Algorithms
and Problems; F.2.2 Complexity of proof procedures;
F.1.2 Modes of Computation; F.1.2 Alternation and
nondeterminism; G.1.2 Approximation; G.1.2 Elementary
function approximation; F.2.2 Nonnumerical Algorithms
and Problems; F.2.2 Computations on discrete
structures",
descriptor = "Theory of Computation, MATHEMATICAL LOGIC AND FORMAL
LANGUAGES, Mathematical Logic, Computational logic;
Hardware, LOGIC DESIGN, Design Styles, Combinational
logic; Theory of Computation, COMPUTATION BY ABSTRACT
DEVICES, Models of Computation, Unbounded-action
devices; Theory of Computation, COMPUTATION BY ABSTRACT
DEVICES, Complexity Classes; Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Nonnumerical Algorithms and Problems, Complexity of
proof procedures; Theory of Computation, COMPUTATION BY
ABSTRACT DEVICES, Modes of Computation, Alternation and
nondeterminism; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Computations on discrete
structures",
genterm = "algorithms; theory",
guideno = "1989-03239",
journalabbrev = "Acta Inf.",
jrldate = "Feb. 1989",
subject = "F. Theory of Computation; F.4 MATHEMATICAL LOGIC AND
FORMAL LANGUAGES; B. Hardware; B.6 LOGIC DESIGN; F.
Theory of Computation; F.1 COMPUTATION BY ABSTRACT
DEVICES; F. Theory of Computation; F.1 COMPUTATION BY
ABSTRACT DEVICES; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F.
Theory of Computation; F.1 COMPUTATION BY ABSTRACT
DEVICES; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY",
}
@Article{Birge:1989:SUB,
author = "John R. Birge and Roger J. Wets",
title = "Sublinear upper bounds for stochastic programs with
recourse",
journal = j-MATH-PROG,
volume = "43",
number = "2",
pages = "131--149",
month = feb,
year = "1989",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of Michigan, Ann Arbor; Univ. of California,
Davis",
bibno = "65226",
catcode = "G.1.6; G.1.7; G.3; G.1.6; G.1.2",
CRclass = "G.1.6 Optimization; G.1.6 Linear programming; G.1.7
Ordinary Differential Equations; G.1.7 Convergence and
stability; G.3 Probabilistic algorithms (including
Monte Carlo); G.1.6 Optimization; G.1.6 Gradient
methods; G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming; Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Convergence and stability; Mathematics of
Computing, PROBABILITY AND STATISTICS, Probabilistic
algorithms (including Monte Carlo); Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization, Gradient
methods; Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms; theory; performance",
guideno = "1989-09042",
journalabbrev = "Math. Program.",
jrldate = "February 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@Article{Borwein:1989:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "{Ramanujan}, modular equations, and approximations to
$\pi$ or how to compute one billion digits of $\pi$",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "3",
pages = "201--219",
month = mar,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Dalhouise Univ., Halifax; Dalhouise Univ., Halifax",
bibno = "65243",
catcode = "I.1.2; G.1.2; G.1.8; G.1.4; I.1.3; F.2.1; F.2.1",
CRclass = "I.1.2 Algorithms; I.1.2 Algebraic algorithms; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.8 Partial Differential Equations; G.1.8 Elliptic
equations; G.1.4 Quadrature and Numerical
Differentiation; G.1.4 Multiple quadrature; I.1.3
Languages and Systems; F.2.1 Numerical Algorithms and
Problems; F.2.1 Computation of transforms; F.2.1
Numerical Algorithms and Problems; F.2.1
Number-theoretic computations",
descriptor = "Computing Methodologies, ALGEBRAIC MANIPULATION,
Algorithms, Algebraic algorithms; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Partial Differential
Equations, Elliptic equations; Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation, Multiple quadrature; Computing
Methodologies, ALGEBRAIC MANIPULATION, Languages and
Systems; Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Computation of transforms; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Number-theoretic computations",
genterm = "algorithms; theory",
guideno = "1989-03459",
journalabbrev = "Am. Math. Monthly",
jrldate = "March 1989",
subject = "I. Computing Methodologies; I.1 ALGEBRAIC
MANIPULATION; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; I. Computing Methodologies; I.1
ALGEBRAIC MANIPULATION; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY",
}
@Article{Bos:1989:CPR,
author = "L. Bos",
title = "A characteristic of points in {$R^2$} having
{Lebesgue} function of polynomial growth",
journal = j-J-APPROX-THEORY,
volume = "56",
number = "3",
pages = "316--329",
month = mar,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72254",
catcode = "F.2.1; G.1.1; G.1.2; F.2.2; G.1.2; G.1.3",
CRclass = "F.2.1 Numerical Algorithms and Problems; F.2.1
Computations on matrices; G.1.1 Interpolation; G.1.1
Interpolation formulas; G.1.2 Approximation; G.1.2
Elementary function approximation; F.2.2 Nonnumerical
Algorithms and Problems; F.2.2 Geometrical problems and
computations; G.1.2 Approximation; G.1.2 Chebyshev
approximation and theory; G.1.3 Numerical Linear
Algebra; G.1.3 Sparse and very large systems",
descriptor = "Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices; Mathematics of Computing,
NUMERICAL ANALYSIS, Interpolation, Interpolation
formulas; Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Geometrical problems and computations;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Chebyshev approximation and theory;
Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
Linear Algebra, Sparse and very large systems",
genterm = "algorithms; theory",
guideno = "1989-07812",
journalabbrev = "J. Approx. Theory",
jrldate = "Mar. 1989",
subject = "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Bronstein:1989:AIE,
author = "Manuel Bronstein",
title = "An algorithm for the integration of elementary
functions",
journal = j-LECT-NOTES-COMP-SCI,
volume = "378",
pages = "491--497",
year = "1989",
CODEN = "LNCSD9",
ISSN = "0302-9743",
MRclass = "65D30",
MRnumber = "91a:65050",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
note = "EUROCAL '87 (Leipzig, 1987).",
acknowledgement = ack-nhfb,
}
@InProceedings{Bronstein:1989:SRE,
author = "M. Bronstein",
title = "Simplification of real elementary functions",
crossref = "ACM:1989:PAI",
pages = "207--211",
year = "1989",
bibdate = "Tue Sep 17 06:46:18 MDT 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/issac.bib",
abstract = "The author describes an algorithm, based on Risch's
real structure theorem, that determines explicitly all
the algebraic relations among a given set of real
elementary functions. He provides examples from its
implementation in the Scratchpad computer algebra
system that illustrate the advantages over the use of
complex logarithms and exponentials.",
acknowledgement = ack-nhfb,
affiliation = "IBM Res. Div., T. J. Watson Res. Center, Yorktown
Heights, NY, USA",
classification = "C1110 (Algebra); C7310 (Mathematics)",
keywords = "Real elementary functions; Real structure theorem;
Scratchpad; Computer algebra system",
language = "English",
thesaurus = "Functions; Mathematics computing; Symbol
manipulation",
}
@Article{Cao:1989:ABS,
author = "J.-D. Cao and H. H. Gonska",
title = "Approximation by {Boolean} sums of positive linear
operators. {II}. {Gopengauz}-type estimates",
journal = j-J-APPROX-THEORY,
volume = "57",
number = "1",
pages = "77--89",
month = apr,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72266",
catcode = "G.1.2; G.1.2; G.3; G.2.1",
CRclass = "G.1.2 Approximation; G.1.2 Nonlinear approximation;
G.1.2 Approximation; G.1.2 Elementary function
approximation; G.3 Statistical computing; G.2.1
Combinatorics; G.2.1 Generating functions",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Nonlinear approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Mathematics of
Computing, PROBABILITY AND STATISTICS, Statistical
computing; Mathematics of Computing, DISCRETE
MATHEMATICS, Combinatorics, Generating functions",
genterm = "algorithms; theory; measurement",
guideno = "1989-07823",
journalabbrev = "J. Approx. Theory",
jrldate = "April 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.2 DISCRETE
MATHEMATICS",
}
@Article{Chen:1989:EMB,
author = "X. R. Chen and P. R. Krishnaiah and W. W. Liang",
title = "Estimation of multivariate binary density using
orthogonal functions",
journal = j-J-MULTIVAR-ANAL,
volume = "31",
number = "2",
pages = "178--186",
month = nov,
year = "1989",
CODEN = "JMVAAI",
ISSN = "0047-259X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of Pittsburgh, Pittsburgh, PA; Univ. of
Pittsburgh, Pittsburgh, PA; Univ. of Pittsburgh,
Pittsburgh, PA",
bibno = "69313",
catcode = "D.3.3; G.3; G.1.3; G.1.2",
CRclass = "D.3.3 Language Constructs; D.3.3 Procedures,
functions, and subroutines; G.3 Statistical computing;
G.1.3 Numerical Linear Algebra; G.1.3 Linear systems
(direct and iterative methods); G.1.2 Approximation;
G.1.2 Elementary function approximation",
descriptor = "Software, PROGRAMMING LANGUAGES, Language Constructs,
Procedures, functions, and subroutines; Mathematics of
Computing, PROBABILITY AND STATISTICS, Statistical
computing; Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Linear systems
(direct and iterative methods); Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "algorithms; theory; verification",
guideno = "1989-08483",
journalabbrev = "J. Multivariate Anal.",
jrldate = "Nov. 1989",
subject = "D. Software; D.3 PROGRAMMING LANGUAGES; G. Mathematics
of Computing; G.3 PROBABILITY AND STATISTICS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Corliss:1989:IIV,
author = "George Corliss and Gary Krenz",
editor = "L. Gatteschi",
title = "Indefinite Integration with Validation",
journal = j-TOMS,
volume = "15",
number = "4",
pages = "375--393",
month = dec,
year = "1989",
CODEN = "ACMSCU",
ISSN = "0098-3500",
MRclass = "65D30 (65-04)",
MRnumber = "1 062 497",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
URL = "http://www.acm.org/pubs/toc/Abstracts/toms/76915.html;
http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p375-corliss/",
acknowledgement = ack-nhfb,
bibno = "393",
content = "ALGORITHMS; THEORY",
CRclass = "G.1.4 Quadrature and Numerical Differentiation; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.2 Approximation; G.1.2 Chebyshev approximation and
theory",
CRnumber = "1989-03199",
descriptor = "mathematics of computing, numerical analysis,
quadrature and numerical differentiation; mathematics
of computing, numerical analysis, approximation,
elementary function approximation; mathematics of
computing, numerical analysis, approximation, Chebyshev
approximation and theory",
fortitle = "ACM Trans. Math. Softw.",
guideno = "4",
keywords = "algorithms; theory",
review = "ACM CR 9007-0598",
subject = "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation.
{\bf G.1.2}: Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation. {\bf G.1.2}: Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Chebyshev
approximation and theory.",
waffil = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Dehling:1989:FLI,
author = "Herold Dehling",
title = "The functional law of the iterated logarithm for {von
Mises} functionals and multiple {Wiener} integrals",
journal = j-J-MULTIVAR-ANAL,
volume = "28",
number = "2",
pages = "177--189",
month = feb,
year = "1989",
CODEN = "JMVAAI",
ISSN = "0047-259X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of G{\"o}ttingen, G{\"o}ttingen, FRG",
bibno = "64336",
catcode = "G.3; G.1.9; G.1.2",
CRclass = "G.3 Statistical computing; G.1.9 Integral Equations;
G.1.9 Integro-differential equations; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing; Mathematics of Computing,
NUMERICAL ANALYSIS, Integral Equations,
Integro-differential equations; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation",
genterm = "algorithms; theory; measurement",
guideno = "1989-08462",
journalabbrev = "J. Multivariate Anal.",
jrldate = "February 1989",
subject = "G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@Article{Demirbas:1989:MSE,
author = "K. Demirbas",
title = "Multidimensional state estimation using stacks for
dynamic systems with interference",
journal = j-AUTOMATICA,
volume = "25",
number = "4",
pages = "617--621",
month = jul,
year = "1989",
CODEN = "ATCAA9",
ISSN = "0005-1098",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72661",
catcode = "G.1.2; G.1.2; G.1.3; G.1.5; H.1.1",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Linear
approximation; G.1.3 Numerical Linear Algebra; G.1.3
Linear systems (direct and iterative methods); G.1.5
Roots of Nonlinear Equations; H.1.1 Systems and
Information Theory; H.1.1 Information theory",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Linear approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, Linear systems (direct and iterative methods);
Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
Nonlinear Equations; Information Systems, MODELS AND
PRINCIPLES, Systems and Information Theory, Information
theory",
genterm = "algorithms; theory",
guideno = "1989-03952",
jrldate = "July 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; H.
Information Systems; H.1 MODELS AND PRINCIPLES",
}
@TechReport{Dritz:1989:RPS,
author = "K. W. Dritz",
title = "Rationale for the Proposed Standard for a Generic
Package of Elementary Functions for {Ada}",
type = "Report",
number = "ANL-89/2 Rev. 1",
institution = "Argonne National Laboratory, Mathematics and Computer
Science Division",
address = "Argonne, IL, USA",
pages = "????",
month = oct,
year = "1989",
bibdate = "Thu Sep 01 12:08:24 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@InProceedings{Duprat:1989:SRA,
author = "J. Duprat and Y. Herreros and J.-M. Muller",
title = "Some results about on-line computation of functions",
crossref = "Ercegovac:1989:PSC",
pages = "112--118",
year = "1989",
bibdate = "Sat Nov 27 14:19:10 MST 2004",
acknowledgement = ack-nhfb,
}
@Article{Dyn:1989:PEB,
author = "N. Dyn and A. Ron",
title = "Periodic exponential box splines on a three direction
mesh",
journal = j-J-APPROX-THEORY,
volume = "56",
number = "3",
pages = "287--296",
month = mar,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72251",
catcode = "G.1.2; F.2.2; G.1.2; G.1.2; G.1.2; G.2.1; G.3",
CRclass = "G.1.2 Approximation; G.1.2 Spline and piecewise
polynomial approximation; F.2.2 Nonnumerical Algorithms
and Problems; F.2.2 Geometrical problems and
computations; G.1.2 Approximation; G.1.2 Chebyshev
approximation and theory; G.1.2 Approximation; G.1.2
Elementary function approximation; G.1.2 Approximation;
G.1.2 Linear approximation; G.2.1 Combinatorics; G.2.1
Recurrences and difference equations; G.3 Statistical
computing",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Spline and piecewise polynomial
approximation; Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Geometrical problems and
computations; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Chebyshev approximation and
theory; Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Linear approximation; Mathematics of
Computing, DISCRETE MATHEMATICS, Combinatorics,
Recurrences and difference equations; Mathematics of
Computing, PROBABILITY AND STATISTICS, Statistical
computing",
genterm = "algorithms; theory; design",
guideno = "1989-07809",
journalabbrev = "J. Approx. Theory",
jrldate = "Mar. 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
G.2 DISCRETE MATHEMATICS; G. Mathematics of Computing;
G.3 PROBABILITY AND STATISTICS",
}
@Article{Eberlein:1989:SAC,
author = "E. Eberlein",
title = "Strong approximation of continuous time stochastic
processes",
journal = j-J-MULTIVAR-ANAL,
volume = "31",
number = "2",
pages = "220--235",
month = nov,
year = "1989",
CODEN = "JMVAAI",
ISSN = "0047-259X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. Freiburg, Freiburg, W. Germany",
bibno = "69316",
catcode = "D.4.8; F.1.2; G.1.2",
CRclass = "D.4.8 Performance; D.4.8 Stochastic analysis; F.1.2
Modes of Computation; F.1.2 Probabilistic computation;
G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Software, OPERATING SYSTEMS, Performance, Stochastic
analysis; Theory of Computation, COMPUTATION BY
ABSTRACT DEVICES, Modes of Computation, Probabilistic
computation; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; performance; theory",
guideno = "1989-08486",
journalabbrev = "J. Multivariate Anal.",
jrldate = "Nov. 1989",
subject = "D. Software; D.4 OPERATING SYSTEMS; F. Theory of
Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Egger:1989:PAC,
author = "A. Egger and R. Huotari",
title = "The {Polya} algorithm on convex sets",
journal = j-J-APPROX-THEORY,
volume = "56",
number = "2",
pages = "212--216",
month = feb,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72242",
catcode = "F.2.2; F.2.2; G.1.2; G.1.2; G.1.5",
CRclass = "F.2.2 Nonnumerical Algorithms and Problems; F.2.2
Geometrical problems and computations; F.2.2
Nonnumerical Algorithms and Problems; F.2.2
Computations on discrete structures; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.2 Approximation; G.1.2 Minimax approximation and
algorithms; G.1.5 Roots of Nonlinear Equations; G.1.5
Convergence",
descriptor = "Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Geometrical problems and computations; Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Computations on discrete structures; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Minimax
approximation and algorithms; Mathematics of Computing,
NUMERICAL ANALYSIS, Roots of Nonlinear Equations,
Convergence",
genterm = "algorithms; theory",
guideno = "1989-07801",
journalabbrev = "J. Approx. Theory",
jrldate = "Feb. 1989",
subject = "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Ehrenmark:1989:ONF,
author = "Ulf T. Ehrenmark",
title = "Overconvergence of the near-field expansion for
linearized waves normally incident on a sloping beach",
journal = j-SIAM-J-APPL-MATH,
volume = "49",
number = "3",
pages = "799--815",
month = jun,
year = "1989",
CODEN = "SMJMAP",
ISSN = "0036-1399",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "64945",
catcode = "G.1.7; G.1.2; F.2.1; G.1.2; F.2.2",
CRclass = "G.1.7 Ordinary Differential Equations; G.1.7
Convergence and stability; G.1.2 Approximation; G.1.2
Minimax approximation and algorithms; F.2.1 Numerical
Algorithms and Problems; F.2.1 Computation of
transforms; G.1.2 Approximation; G.1.2 Elementary
function approximation; F.2.2 Nonnumerical Algorithms
and Problems; F.2.2 Geometrical problems and
computations",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Convergence and stability;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Minimax approximation and algorithms;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
Computation of transforms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Geometrical problems and
computations",
genterm = "algorithms; theory; experimentation",
guideno = "1989-09714",
journalabbrev = "SIAM J. Appl. Math.",
jrldate = "June 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
}
@Article{Einmahl:1989:ERK,
author = "U. Einmahl",
title = "Extensions of results of {Komlos}, {Major}, and
{Tusnady} to the multivariate case",
journal = j-J-MULTIVAR-ANAL,
volume = "28",
number = "1",
pages = "20--68",
month = jan,
year = "1989",
CODEN = "JMVAAI",
ISSN = "0047-259X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. zu Koln, West Germany",
bibno = "66700",
catcode = "G.3; G.1.2; F.2.1",
CRclass = "G.3 Statistical computing; G.1.2 Approximation; G.1.2
Elementary function approximation; F.2.1 Numerical
Algorithms and Problems; F.2.1 Computation of
transforms",
descriptor = "Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
and Problems, Computation of transforms",
genterm = "algorithms; theory",
guideno = "1989-08456",
journalabbrev = "J. Multivariate Anal.",
jrldate = "Jan. 1989",
subject = "G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY",
}
@Article{Epperson:1989:UIM,
author = "J. F. Epperson",
title = "On the use of iteration methods for approximating the
natural logarithm",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "9",
pages = "831--835",
month = nov,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "26A06 (26A09)",
MRnumber = "91a:26002",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "71703",
catcode = "G.1.2; G.1.2; K.3.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; G.1.2 Approximation; G.1.2 Spline and
piecewise polynomial approximation; K.3.2 Computer and
Information Science Education",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Spline and piecewise polynomial
approximation; Computing Milieux, COMPUTERS AND
EDUCATION, Computer and Information Science Education",
genterm = "algorithms; theory",
guideno = "1989-03518",
journalabbrev = "Am. Math. Monthly",
jrldate = "Nov. 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; K.
Computing Milieux; K.3 COMPUTERS AND EDUCATION",
}
@Article{Ge:1989:OCL,
author = "Renpu Ge",
title = "Optimal choice of linear interval extension",
journal = j-APPL-MATH-COMP,
volume = "30",
number = "2",
pages = "165--189",
month = mar,
year = "1989",
CODEN = "AMHCBQ",
ISSN = "0096-3003",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "64710",
catcode = "G.1.6; G.1.2; G.1.2; G.2.1; F.2.2; G.1.2; G.1.1;
G.1.0",
CRclass = "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
Approximation; G.1.2 Linear approximation; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.2.1 Combinatorics; G.2.1 Combinatorial algorithms;
F.2.2 Nonnumerical Algorithms and Problems; F.2.2
Computations on discrete structures; G.1.2
Approximation; G.1.2 Minimax approximation and
algorithms; G.1.1 Interpolation; G.1.1 Difference
formulas; G.1.0 General; G.1.0 Numerical algorithms",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Linear
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, DISCRETE
MATHEMATICS, Combinatorics, Combinatorial algorithms;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Computations on discrete structures;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Minimax approximation and algorithms;
Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Difference formulas; Mathematics of
Computing, NUMERICAL ANALYSIS, General, Numerical
algorithms",
genterm = "algorithms; theory; measurement",
guideno = "1989-03670",
journalabbrev = "Appl. Math. Comput.",
jrldate = "March 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.2 DISCRETE MATHEMATICS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@Article{Gersch:1989:SPT,
author = "W. Gersch and G. Kitagawa",
title = "Smoothness priors transfer function estimation",
journal = j-AUTOMATICA,
volume = "25",
number = "4",
pages = "603--608",
month = jul,
year = "1989",
CODEN = "ATCAA9",
ISSN = "0005-1098",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72658",
catcode = "G.1.1; G.1.2; G.1.6",
CRclass = "G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.6 Optimization; G.1.6 Gradient methods",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Smoothing; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization, Gradient methods",
genterm = "algorithms; theory",
guideno = "1989-03949",
jrldate = "July 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@InCollection{Glover:1989:THN,
author = "Keith Glover",
editor = "Jan C. Willems",
booktitle = "From data to model",
title = "A tutorial on {Hankel}-norm approximation",
publisher = pub-SV,
address = pub-SV:adr,
pages = "26--48",
year = "1989",
ISBN = "0-387-51571-2",
ISBN-13 = "978-0-387-51571-7",
LCCN = "QA279 .F76 1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "70545",
bookpages = "246",
catcode = "G.1.2; F.2.1; F.2.1",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation; F.2.1 Numerical Algorithms and Problems;
F.2.1 Computations on matrices; F.2.1 Numerical
Algorithms and Problems; F.2.1 Computation of
transforms",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices; Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Numerical Algorithms and Problems, Computation of
transforms",
genterm = "algorithms; theory",
guideno = "1989-01692",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
waffil = "Univ. of Groningen, Groningen, The Netherlands",
}
@InProceedings{Glynn:1989:OSS,
author = "P. W. Glynn",
editor = "Edward A. MacNair and Kenneth J. Musselman and Philip
Heidelberger",
booktitle = "1989 Winter Simulation Conference proceedings:
December 4--6, 1989, the Capital Hilton Hotel,
Washington, DC",
title = "Optimization of stochastic systems via simulation",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "90--105",
year = "1989",
ISBN = "0-911801-58-8",
ISBN-13 = "978-0-911801-58-3",
LCCN = "QA76.9.C65 W56 1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
note = "IEEE order no. 89CH2778-9.",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=5823",
acknowledgement = ack-nhfb,
bibno = "76750",
bookpages = "xx + 1139",
catcode = "I.6.3; G.1.6; G.3; G.1.2",
CRclass = "I.6.3 Applications; G.1.6 Optimization; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Computing Methodologies, SIMULATION AND MODELING,
Applications; Mathematics of Computing, NUMERICAL
ANALYSIS, Optimization; Mathematics of Computing,
PROBABILITY AND STATISTICS; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; design; performance",
guideno = "1989-12012",
procdate = "December 4-6, 1989",
procloc = "Washington, D. C.",
subject = "I. Computing Methodologies; I.6 SIMULATION AND
MODELING; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.3 PROBABILITY
AND STATISTICS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@Article{Gomes:1989:GGL,
author = "M. I. Gomes",
title = "Generalized {Gumbel} and likelihood ratio test
statistics in the multivariate {GEV} model",
journal = j-COMPUT-STAT-DATA-ANAL,
volume = "7",
number = "3",
pages = "259--267",
month = feb,
year = "1989",
CODEN = "CSDADW",
ISSN = "0167-9473",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "70043",
catcode = "G.3; G.1.7; I.5.1; G.1.6; G.1.2",
CRclass = "G.3 Statistical computing; G.1.7 Ordinary Differential
Equations; G.1.7 Convergence and stability; I.5.1
Models; I.5.1 Statistical; G.1.6 Optimization; G.1.6
Nonlinear programming; G.1.2 Approximation; G.1.2
Elementary function approximation",
descriptor = "Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing; Mathematics of Computing,
NUMERICAL ANALYSIS, Ordinary Differential Equations,
Convergence and stability; Computing Methodologies,
PATTERN RECOGNITION, Models, Statistical; Mathematics
of Computing, NUMERICAL ANALYSIS, Optimization,
Nonlinear programming; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; measurement; reliability; theory",
guideno = "1989-04403",
journalabbrev = "Comput. Stat. Data Anal.",
jrldate = "Feb. 1989",
subject = "G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; I. Computing Methodologies; I.5 PATTERN
RECOGNITION; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@InProceedings{Gonzaga:1989:ASL,
author = "Cl{\'o}vis C. Gonzaga",
title = "An algorithm for solving linear programming programs
in {$O(n^3L)$} operations",
crossref = "Megiddo:1989:PMP",
pages = "1--28",
year = "1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "74172",
catcode = "G.1.6; G.1.2; F.2.1; I.1.2; I.1.2",
CRclass = "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
Approximation; G.1.2 Elementary function approximation;
F.2.1 Numerical Algorithms and Problems; F.2.1
Computations on matrices; I.1.2 Algorithms; I.1.2
Algebraic algorithms; I.1.2 Algorithms; I.1.2 Analysis
of algorithms",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices; Computing Methodologies,
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms; Computing Methodologies, ALGEBRAIC
MANIPULATION, Algorithms, Analysis of algorithms",
genterm = "algorithms; theory",
guideno = "1989-12474",
procdate = "March 1-4, 1987",
procloc = "Pacific Grove, CA",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
ALGEBRAIC MANIPULATION; I. Computing Methodologies; I.1
ALGEBRAIC MANIPULATION",
}
@Article{Guo:1989:RCS,
author = "S.-S. Guo and M. K. Khan",
title = "On the rate of convergence of some operators on
functions of bounded variation",
journal = j-J-APPROX-THEORY,
volume = "58",
number = "1",
pages = "90--101",
month = jul,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "69424",
catcode = "F.2.1; G.1.2",
CRclass = "F.2.1 Numerical Algorithms and Problems; F.2.1
Computations on polynomials; G.1.2 Approximation; G.1.2
Elementary function approximation",
descriptor = "Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
Computations on polynomials; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; theory",
guideno = "1989-07854",
journalabbrev = "J. Approx. Theory",
jrldate = "July 1989",
subject = "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS",
}
@Article{Hornik:1989:MFN,
author = "K. Hornik and M. Stinchcombe and H. White",
title = "Multilayer feedforward networks are universal
approximators",
journal = j-NEURAL-NETWORKS,
volume = "2",
number = "5",
pages = "359--366",
year = "1989",
CODEN = "NNETEB",
ISSN = "0893-6080",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Technisce Univ. Wien, Vienna, Austria; Univ. of
California, San Diego; Univ. of California, San Diego",
bibno = "70408",
catcode = "F.2.1; G.1.2; F.1.1; I.2.4",
CRclass = "F.2.1 Numerical Algorithms and Problems; G.1.2
Approximation; G.1.2 Elementary function approximation;
F.1.1 Models of Computation; F.1.1 Unbounded-action
devices; I.2.4 Knowledge Representation Formalisms and
Methods",
descriptor = "Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
Models of Computation, Unbounded-action devices;
Computing Methodologies, ARTIFICIAL INTELLIGENCE,
Knowledge Representation Formalisms and Methods",
genterm = "design; performance",
guideno = "1989-09273",
journalabbrev = "Neural Networks",
jrldate = "1989",
subject = "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.1
COMPUTATION BY ABSTRACT DEVICES; I. Computing
Methodologies; I.2 ARTIFICIAL INTELLIGENCE",
}
@Article{Jeffries:1989:GFA,
author = "John S. Jeffries and Donald R. Smith",
title = "A {Green} function approach for a singularly perturbed
vector boundary-value problem",
journal = j-ADV-APPL-MATH,
volume = "10",
number = "1",
pages = "1--50",
month = mar,
year = "1989",
CODEN = "????",
ISSN = "0196-8858",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of California at San Diego, La Jolla; Univ. of
California at San Diego, La Jolla",
bibno = "64833",
catcode = "G.1.7; G.1.7; F.2.1; G.1.2; G.1.3; G.1.2; G.1.3",
CRclass = "G.1.7 Ordinary Differential Equations; G.1.7 Boundary
value problems; G.1.7 Ordinary Differential Equations;
G.1.7 Convergence and stability; F.2.1 Numerical
Algorithms and Problems; F.2.1 Computation of
transforms; G.1.2 Approximation; G.1.2 Nonlinear
approximation; G.1.3 Numerical Linear Algebra; G.1.3
Eigenvalues; G.1.2 Approximation; G.1.2 Elementary
function approximation; G.1.3 Numerical Linear Algebra;
G.1.3 Linear systems (direct and iterative methods)",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Boundary value problems;
Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Convergence and stability;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
Computation of transforms; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Nonlinear
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Numerical Linear Algebra, Eigenvalues;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
Linear Algebra, Linear systems (direct and iterative
methods)",
genterm = "algorithms; theory",
guideno = "1989-03271",
journalabbrev = "Adv. Appl. Math.",
jrldate = "March 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@Article{Kaishev:1989:SSC,
author = "A. I. Kaishev",
title = "A sharpened scheme for constructing an a posteriori
interval extension of an elementary function.
({Russian})",
journal = "Voprosy Kibernet. (Moscow)",
volume = "149",
pages = "14--18",
year = "1989",
ISBN = "0134-6388",
ISBN-13 = "0134-6388",
MRclass = "65G10",
MRnumber = "91i:65090",
MRreviewer = "I. N. Molchanov",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kogan:1989:GBF,
author = "B. J. Kogan",
title = "General background of functional memory algorithms",
journal = j-TRANS-SOC-COMP-SIM,
volume = "5",
number = "4",
pages = "285--317",
month = oct,
year = "1989",
CODEN = "TSCSEV",
ISSN = "0740-6797",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of California, Los Angeles",
bibno = "69149",
catcode = "C.3; G.1.2; G.1.2; E.4",
CRclass = "C.3 Signal processing systems; G.1.2 Approximation;
G.1.2 Elementary function approximation; G.1.2
Approximation; G.1.2 Linear approximation; E.4 Data
compaction and compression",
descriptor = "Computer Systems Organization, SPECIAL-PURPOSE AND
APPLICATION-BASED SYSTEMS, Signal processing systems;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Linear approximation; Data, CODING AND
INFORMATION THEORY, Data compaction and compression",
genterm = "algorithms; design",
guideno = "1989-10680",
journalabbrev = "Trans. Soc. Comput. Simul.",
jrldate = "Oct. 1989",
subject = "C. Computer Systems Organization; C.3 SPECIAL-PURPOSE
AND APPLICATION-BASED SYSTEMS; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
Computing; G.1 NUMERICAL ANALYSIS; E. Data; E.4 CODING
AND INFORMATION THEORY",
}
@InProceedings{Kojima:1989:PDI,
author = "M. Kojima and S. Mizuno and A. Yoshise",
title = "A primal-dual interior point algorithm for linear
programming",
crossref = "Megiddo:1989:PMP",
pages = "29--47",
year = "1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "74173",
bookpages = "x + 158",
catcode = "G.1.6; F.2.1; G.1.2; F.2.2; F.2.1; I.1.2; I.1.2",
CRclass = "G.1.6 Optimization; G.1.6 Linear programming; F.2.1
Numerical Algorithms and Problems; G.1.2 Approximation;
G.1.2 Elementary function approximation; F.2.2
Nonnumerical Algorithms and Problems; F.2.2 Geometrical
problems and computations; F.2.1 Numerical Algorithms
and Problems; F.2.1 Computations on matrices; I.1.2
Algorithms; I.1.2 Algebraic algorithms; I.1.2
Algorithms; I.1.2 Analysis of algorithms",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Geometrical problems and computations; Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices; Computing Methodologies,
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms; Computing Methodologies, ALGEBRAIC
MANIPULATION, Algorithms, Analysis of algorithms",
genterm = "algorithms; theory",
guideno = "1989-12475",
procdate = "March 1-4, 1987",
procloc = "Pacific Grove, CA",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
ALGEBRAIC MANIPULATION; I. Computing Methodologies; I.1
ALGEBRAIC MANIPULATION",
}
@Article{Kraaikamp:1989:SEP,
author = "Cor Kraaikamp",
title = "Statistic and ergodic properties of {Minkowski}'s
diagonal continued fraction",
journal = j-THEOR-COMP-SCI,
volume = "65",
number = "2",
pages = "197--212",
day = "28",
month = jun,
year = "1989",
CODEN = "TCSCDI",
ISSN = "0304-3975",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Amsterdam Univ., Amsterdam, The Netherlands and Univ.
de Provence, Marseille, France",
bibno = "70095",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "algorithms; theory",
guideno = "1989-10594",
journalabbrev = "Theor. Comput. Sci.",
jrldate = "28 June 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Kreider:1989:WSA,
author = "K. L. Kreider",
title = "A wave splitting approach to time dependent inverse
scattering for the stratified cylinder",
journal = j-SIAM-J-APPL-MATH,
volume = "49",
number = "3",
pages = "932--943",
month = jun,
year = "1989",
CODEN = "SMJMAP",
ISSN = "0036-1399",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "64953",
catcode = "G.1.7; G.1.2; J.2; J.2; F.2.2; G.1.3; I.1.1",
CRclass = "G.1.7 Ordinary Differential Equations; G.1.7 Initial
value problems; G.1.2 Approximation; G.1.2 Elementary
function approximation; J.2 Physics; J.2 Electronics;
F.2.2 Nonnumerical Algorithms and Problems; F.2.2
Geometrical problems and computations; G.1.3 Numerical
Linear Algebra; G.1.3 Linear systems (direct and
iterative methods); I.1.1 Expressions and Their
Representation; I.1.1 Simplification of expressions",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
Differential Equations, Initial value problems;
Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Physics; Computer Applications, PHYSICAL
SCIENCES AND ENGINEERING, Electronics; Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Geometrical problems and computations; Mathematics of
Computing, NUMERICAL ANALYSIS, Numerical Linear
Algebra, Linear systems (direct and iterative methods);
Computing Methodologies, ALGEBRAIC MANIPULATION,
Expressions and Their Representation, Simplification of
expressions",
genterm = "algorithms; theory; experimentation; measurement",
guideno = "1989-09722",
journalabbrev = "SIAM J. Appl. Math.",
jrldate = "June 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J.
Computer Applications; J.2 PHYSICAL SCIENCES AND
ENGINEERING; J. Computer Applications; J.2 PHYSICAL
SCIENCES AND ENGINEERING; F. Theory of Computation; F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; I.
Computing Methodologies; I.1 ALGEBRAIC MANIPULATION",
}
@PhdThesis{Littlestone:1989:MBL,
author = "N. Littlestone",
title = "Mistake bounds and logarithmic linear-threshold
learning algorithms",
type = "{Ph.D} Thesis",
school = "University of California at Santa Cruz",
address = "Santa Cruz, CA, USA",
pages = "????",
year = "1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "76493",
catcode = "I.2.6; J.4; H.1.2; G.1.2",
CRclass = "I.2.6 Learning; J.4 Psychology; H.1.2 User/Machine
Systems; H.1.2 Human information processing; G.1.2
Approximation; G.1.2 Elementary function
approximation",
descriptor = "Computing Methodologies, ARTIFICIAL INTELLIGENCE,
Learning; Computer Applications, SOCIAL AND BEHAVIORAL
SCIENCES, Psychology; Information Systems, MODELS AND
PRINCIPLES, User/Machine Systems, Human information
processing; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; human factors; performance",
guideno = "1989-12934",
source = "UMI Order No: GAX89-26506",
subject = "I. Computing Methodologies; I.2 ARTIFICIAL
INTELLIGENCE; J. Computer Applications; J.4 SOCIAL AND
BEHAVIORAL SCIENCES; H. Information Systems; H.1 MODELS
AND PRINCIPLES; G. Mathematics of Computing; G.1
NUMERICAL ANALYSIS",
}
@Article{Lo:1989:RBP,
author = "Shaw-Hwa Lo and Jane-Ling Wang",
title = "Representations for the bivariate product limit
estimators and the bootstrap versions",
journal = j-J-MULTIVAR-ANAL,
volume = "28",
number = "2",
pages = "211--226",
month = feb,
year = "1989",
CODEN = "JMVAAI",
ISSN = "0047-259X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ. of California, Davis; Univ. of California,
Davis",
bibno = "64339",
catcode = "G.3; G.1.2; G.1.4; G.1.7",
CRclass = "G.3 Statistical computing; G.1.2 Approximation; G.1.2
Elementary function approximation; G.1.4 Quadrature and
Numerical Differentiation; G.1.4 Gaussian quadrature;
G.1.7 Ordinary Differential Equations; G.1.7
Convergence and stability",
descriptor = "Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Gaussian quadrature; Mathematics of Computing,
NUMERICAL ANALYSIS, Ordinary Differential Equations,
Convergence and stability",
genterm = "algorithms; theory; measurement",
guideno = "1989-08465",
journalabbrev = "J. Multivariate Anal.",
jrldate = "February 1989",
subject = "G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@Article{Lorentz:1989:NA,
author = "G. G. Lorentz",
title = "Notes on approximation",
journal = j-J-APPROX-THEORY,
volume = "56",
number = "3",
pages = "360--365",
month = mar,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72258",
catcode = "G.1.1; G.1.2; G.1.1",
CRclass = "G.1.1 Interpolation; G.1.1 Smoothing; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.1.1 Interpolation; G.1.1 Spline and piecewise
polynomial interpolation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Interpolation, Smoothing; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation, Spline and piecewise
polynomial interpolation",
genterm = "algorithms; theory",
guideno = "1989-07816",
journalabbrev = "J. Approx. Theory",
jrldate = "Mar. 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@Article{Macleod:1989:SAA,
author = "Allan J. Macleod",
title = "Statistical Algorithms: {Algorithm AS 245}: {A} Robust
and Reliable Algorithm for the Logarithm of the Gamma
Function",
journal = j-APPL-STAT,
volume = "38",
number = "2",
pages = "397--402",
month = jun,
year = "1989",
CODEN = "APSTAG",
ISSN = "0035-9254",
bibdate = "Sat Apr 21 10:25:27 MDT 2001",
bibsource = "JSTOR database",
URL = "http://lib.stat.cmu.edu/apstat/245",
acknowledgement = ack-nhfb,
}
@InProceedings{Megiddo:1989:POS,
author = "N. Megiddo",
title = "Pathways to the optimal set in linear programming",
crossref = "Megiddo:1989:PMP",
pages = "131--158",
year = "1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "74179",
catcode = "G.1.6; G.1.2; G.2.2; G.1.2; G.1.5; F.2.1; I.1.2; G.4;
G.4",
CRclass = "G.1.6 Optimization; G.1.6 Linear programming; G.1.2
Approximation; G.1.2 Elementary function approximation;
G.2.2 Graph Theory; G.2.2 Path and circuit problems;
G.1.2 Approximation; G.1.2 Spline and piecewise
polynomial approximation; G.1.5 Roots of Nonlinear
Equations; G.1.5 Iterative methods; F.2.1 Numerical
Algorithms and Problems; F.2.1 Computations on
matrices; I.1.2 Algorithms; I.1.2 Analysis of
algorithms; G.4 Algorithm analysis; G.4 Efficiency",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming; Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation,
Elementary function approximation; Mathematics of
Computing, DISCRETE MATHEMATICS, Graph Theory, Path and
circuit problems; Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation, Spline and piecewise
polynomial approximation; Mathematics of Computing,
NUMERICAL ANALYSIS, Roots of Nonlinear Equations,
Iterative methods; Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
and Problems, Computations on matrices; Computing
Methodologies, ALGEBRAIC MANIPULATION, Algorithms,
Analysis of algorithms; Mathematics of Computing,
MATHEMATICAL SOFTWARE, Algorithm analysis; Mathematics
of Computing, MATHEMATICAL SOFTWARE, Efficiency",
genterm = "algorithms; performance; theory",
guideno = "1989-12481",
procdate = "March 1-4, 1987",
procloc = "Pacific Grove, CA",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.2 DISCRETE MATHEMATICS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY; I. Computing Methodologies; I.1
ALGEBRAIC MANIPULATION; G. Mathematics of Computing;
G.4 MATHEMATICAL SOFTWARE; G. Mathematics of Computing;
G.4 MATHEMATICAL SOFTWARE",
}
@PhdThesis{Miler:1989:EEM,
author = "T. H. Miler",
title = "Error evaluation of microcomputer intrinsic
functions",
type = "{Ph.D} Thesis",
school = "University of Idaho",
address = "Moscow, ID",
pages = "????",
year = "1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "76168",
catcode = "G.4; G.1.2; J.2",
CRclass = "G.4 Reliability and robustness; G.1.2 Approximation;
G.1.2 Elementary function approximation; J.2
Mathematics and statistics",
descriptor = "Mathematics of Computing, MATHEMATICAL SOFTWARE,
Reliability and robustness; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation; Computer Applications, PHYSICAL SCIENCES
AND ENGINEERING, Mathematics and statistics",
genterm = "algorithms; reliability",
guideno = "1989-12941",
source = "UMI order no: GAX89-22813",
subject = "G. Mathematics of Computing; G.4 MATHEMATICAL
SOFTWARE; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS; J. Computer Applications; J.2 PHYSICAL
SCIENCES AND ENGINEERING",
}
@InProceedings{Montuschi:1989:EIH,
author = "P. Montuschi and L. Ciminiera",
title = "On the efficient implementation of higher radix square
root algorithms",
crossref = "Ercegovac:1989:PSC",
pages = "154--161",
year = "1989",
bibdate = "Sat Nov 27 14:19:10 MST 2004",
acknowledgement = ack-nhfb,
}
@Book{Moshier:1989:MPM,
author = "Stephen L. B. Moshier",
title = "Methods and Programs for Mathematical Functions",
publisher = pub-ELLIS-HORWOOD,
address = pub-ELLIS-HORWOOD:adr,
pages = "vii + 415",
year = "1989",
ISBN = "0-7458-0289-3",
ISBN-13 = "978-0-7458-0289-3",
LCCN = "QA331 .M84 1989",
bibdate = "Thu Sep 01 10:33:40 1994",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip",
price = "US\pounds 48.00",
acknowledgement = ack-nj,
}
@Article{Rhee:1989:MII,
author = "W. T. Rhee and M. Talagrand",
title = "Martingale inequalities, interpolation and
{NP}-complete problems",
journal = j-MATH-OP-RES,
volume = "14",
number = "1",
pages = "91--96",
month = feb,
year = "1989",
CODEN = "MOREDQ",
ISSN = "0364-765X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
affiliation = "Univ., Paris, Paris, France; Ohio State Univ.,
Columbus",
bibno = "67063",
catcode = "G.2.2; H.1.1; G.1.1; G.1.2; G.3; I.6.4; F.1.3",
CRclass = "G.2.2 Graph Theory; G.2.2 Path and circuit problems;
H.1.1 Systems and Information Theory; H.1.1 General
systems theory; G.1.1 Interpolation; G.1.1
Interpolation formulas; G.1.2 Approximation; G.1.2
Elementary function approximation; G.3 Probabilistic
algorithms (including Monte Carlo); I.6.4 Model
Validation and Analysis; F.1.3 Complexity Classes;
F.1.3 Reducibility and completeness",
descriptor = "Mathematics of Computing, DISCRETE MATHEMATICS, Graph
Theory, Path and circuit problems; Information Systems,
MODELS AND PRINCIPLES, Systems and Information Theory,
General systems theory; Mathematics of Computing,
NUMERICAL ANALYSIS, Interpolation, Interpolation
formulas; Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation;
Mathematics of Computing, PROBABILITY AND STATISTICS,
Probabilistic algorithms (including Monte Carlo);
Computing Methodologies, SIMULATION AND MODELING, Model
Validation and Analysis; Theory of Computation,
COMPUTATION BY ABSTRACT DEVICES, Complexity Classes,
Reducibility and completeness",
genterm = "algorithms; theory; measurement",
guideno = "1989-09079",
journalabbrev = "Math. Oper. Res.",
jrldate = "Feb. 1989",
subject = "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
H. Information Systems; H.1 MODELS AND PRINCIPLES; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; I. Computing Methodologies; I.6 SIMULATION
AND MODELING; F. Theory of Computation; F.1 COMPUTATION
BY ABSTRACT DEVICES",
}
@Article{Ruymgaart:1989:SPB,
author = "F. H. Ruymgaart",
title = "Some properties of bivariate empirical hazard
processes under random censoring",
journal = j-J-MULTIVAR-ANAL,
volume = "28",
number = "2",
pages = "271--281",
month = feb,
year = "1989",
CODEN = "JMVAAI",
ISSN = "0047-259X",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "64343",
catcode = "G.3; G.1.2",
CRclass = "G.3 Statistical computing; G.1.2 Approximation; G.1.2
Elementary function approximation",
descriptor = "Mathematics of Computing, PROBABILITY AND STATISTICS,
Statistical computing; Mathematics of Computing,
NUMERICAL ANALYSIS, Approximation, Elementary function
approximation",
genterm = "algorithms; theory; measurement",
guideno = "1989-08469",
journalabbrev = "J. Multivariate Anal.",
jrldate = "February 1989",
subject = "G. Mathematics of Computing; G.3 PROBABILITY AND
STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
ANALYSIS",
}
@InCollection{Saigo:1989:FID,
author = "Megumi Saigo",
title = "Fractional integrals and derivatives associated with
elementary functions and {Bessel} functions",
crossref = "Srivastava:1989:UFF",
pages = "283--306",
year = "1989",
MRclass = "26A33 (33C10)",
MRnumber = "93h:26011",
bibdate = "Sat Jan 11 17:44:01 MST 1997",
series = "Ellis Horwood Ser. Math. Appl.",
acknowledgement = ack-nhfb,
}
@Article{Smith:1989:EMP,
author = "David M. Smith",
title = "Efficient multiple-precision evaluation of elementary
functions",
journal = j-MATH-COMP,
volume = "52",
number = "185",
pages = "131--134",
month = jan,
year = "1989",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (26-04)",
MRnumber = "90c:65034",
MRreviewer = "Menachem Dishon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis)",
corpsource = "Dept. of Math., Loyola Univ., Los Angeles, CA, USA",
keywords = "arithmetic; base b; elementary functions; function
evaluation; multiple-precision evaluation",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Tang:1989:TCA,
author = "Ping Tak Peter Tang",
title = "Testing Computer Arithmetic by Elementary Number
Theory",
institution = "Mathematics and Computer Science Division, Argonne
National Laboratory",
address = "Argonne, IL, USA",
pages = "????",
month = aug,
year = "1989",
bibdate = "Fri Jun 11 12:38:06 1999",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
acknowledgement = ack-nj,
}
@Article{Tang:1989:TDI,
author = "Ping Tak Peter Tang",
title = "Table-Driven Implementation of the Exponential
Function in {IEEE} Floating-Point Arithmetic",
journal = j-TOMS,
volume = "15",
number = "2",
pages = "144--157",
month = jun,
year = "1989",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Sun Sep 04 22:47:40 1994",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt",
URL = "http://www.acm.org/pubs/citations/journals/toms/1989-15-2/p144-tang/;
http://doi.acm.org/10.1145/63522.214389",
abstract = "Algorithms and implementation details for the
exponential function in both single- and
double-precision of IEEE 754 arithmetic are presented
here. With a table of moderate size, the
implementations need only working-precision arithmetic
and are provably accurate to within 0.54 ulp as long as
the final result does not underflow. When the final
result suffers gradual underflow, the error is still no
worse than 0.77 ulp.",
acknowledgement = ack-nj,
keywords = "algorithms",
subject = "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
ANALYSIS, General, Computer arithmetic. {\bf G.1.0}:
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Error analysis. {\bf G.1.0}: Mathematics of Computing,
NUMERICAL ANALYSIS, General, Numerical algorithms. {\bf
G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm analysis.",
}
@Article{Ubhaya:1989:LAN,
author = "V. A. Ubhaya",
title = "{$L_p$} approximation from nonconvex subsets of
special classes of functions",
journal = j-J-APPROX-THEORY,
volume = "57",
number = "2",
pages = "223--238",
month = may,
year = "1989",
CODEN = "JAXTAZ",
ISSN = "0021-9045",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "72277",
catcode = "G.1.2",
CRclass = "G.1.2 Approximation; G.1.2 Elementary function
approximation",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation, Elementary function approximation",
genterm = "verification; theory",
guideno = "1989-07833",
journalabbrev = "J. Approx. Theory",
jrldate = "May 1989",
subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}
@InProceedings{Vaidya:1989:LWB,
author = "P. M. Vaidya",
title = "A locally well-behaved potential function and a simple
{Newton}-type method for finding the center of a
polytype",
crossref = "Megiddo:1989:PMP",
pages = "79--90",
year = "1989",
bibdate = "Fri Nov 8 18:01:57 MST 2002",
bibsource = "ACM Computing Archive CD-ROM database (1991)",
acknowledgement = ack-nhfb,
bibno = "74176",
catcode = "G.1.6; G.1.6; F.2.2; G.1.2; G.1.5; G.1.5; I.1.2",
CRclass = "G.1.6 Optimization; G.1.6 Linear programming; G.1.6
Optimization; G.1.6 Gradient methods; F.2.2
Nonnumerical Algorithms and Problems; F.2.2 Geometrical
problems and computations; G.1.2 Approximation; G.1.2
Elementary function approximation; G.1.5 Roots of
Nonlinear Equations; G.1.5 Convergence; G.1.5 Roots of
Nonlinear Equations; G.1.5 Iterative methods; I.1.2
Algorithms; I.1.2 Nonalgebraic algorithms",
descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS,
Optimization, Linear programming; Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization, Gradient
methods; Theory of Computation, ANALYSIS OF ALGORITHMS
A