%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.04",
%%% date = "02 December 2008",
%%% time = "17:49:01 MST",
%%% filename = "siamreview.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 = "52658 37230 149860 1401805",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX; bibliography; SIAM Review; SIREV",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a bibliography of publications in
%%% the journal SIAM Review (CODEN SIREAD, ISSN
%%% 0036-1445 (print), 1095-7200 (electronic))
%%% which began publishing in 1959.
%%%
%%% The journal has a World Wide Web site at
%%%
%%% http://www.siam.org/journals/sirev.htm
%%%
%%% with editorial and publication information,
%%%
%%% Tables of contents of recent issues
%%% (1996--date) are available at
%%%
%%% http://www.siam.org/journals/sirev/revconts.htm
%%%
%%% Data for earlier volumes (1959--1996) is
%%% available at:
%%%
%%% http://locus.siam.org/SIREV/sirev_toc.html
%%%
%%% The electronic edition of the journal is
%%% available at
%%%
%%% http://epubs.siam.org/
%%% http://epubs.siam.org/sam-bin/dbq/toclist/SIREV
%%%
%%% It began with the March 1997 issue (volume
%%% 39, number 1); access to complete article
%%% text in TeX DVI, PostScript, and Adobe
%%% Acrobat PDF form is available, but only to
%%% journal subscribers.
%%%
%%% Top matter (titles, authors, abstracts, key
%%% words, AMS subject classifications, and
%%% citation information) is available to anyone.
%%% The top matter is available for issues
%%% beginning with Volume 38, Number 3 (September
%%% 1996).
%%%
%%% There is also complete coverage of all
%%% journal issues with full text available to
%%% members of subscribing institutions in the
%%% JSTOR archive at
%%%
%%% http://www.jstor.org/journals/00361445.html
%%%
%%% NB: Since the SIAM journals introduced
%%% electronic prepublication in the late 1990s,
%%% the volume/year relationships have become
%%% blurred, because the SIAM Web
%%% tables-of-contents files do not record the
%%% publication year. I am working with SIAM to
%%% find a solution to this problem.
%%%
%%% At version 2.00 of this bibliography, all
%%% article Web pages have been downloaded and
%%% used to correct blurry publication years,
%%% and Digital Object Identifier (DOI) values
%%% have been added when available.
%%%
%%% At version 2.04, the year coverage looked
%%% like this:
%%%
%%% 1959 ( 3) 1976 ( 5) 1993 ( 129)
%%% 1960 ( 3) 1977 ( 5) 1994 ( 130)
%%% 1961 ( 3) 1978 ( 11) 1995 ( 123)
%%% 1962 ( 3) 1979 ( 21) 1996 ( 120)
%%% 1963 ( 3) 1980 ( 20) 1997 ( 136)
%%% 1964 ( 5) 1981 ( 19) 1998 ( 94)
%%% 1965 ( 3) 1982 ( 19) 1999 ( 50)
%%% 1966 ( 4) 1983 ( 17) 2000 ( 45)
%%% 1967 ( 4) 1984 ( 21) 2001 ( 43)
%%% 1968 ( 3) 1985 ( 13) 2002 ( 40)
%%% 1969 ( 3) 1986 ( 20) 2003 ( 43)
%%% 1970 ( 4) 1987 ( 18) 2004 ( 48)
%%% 1971 ( 3) 1988 ( 33) 2005 ( 43)
%%% 1972 ( 3) 1989 ( 33) 2006 ( 27)
%%% 1973 ( 5) 1990 ( 108) 2007 ( 29)
%%% 1974 ( 5) 1991 ( 128) 2008 ( 28)
%%% 1975 ( 3) 1992 ( 107)
%%%
%%% Article: 1786
%%%
%%% Total entries: 1786
%%%
%%% The initial draft of entries for 1990--1996
%%% was derived from the OCLC Contents1st
%%% database. Additions were then made from
%%% all of the bibliographies in the TeX User
%%% Group collection, from bibliographies in
%%% the author's personal files, from the
%%% Compendex databases (1980--1996), from the
%%% MathSciNet database, and from the computer
%%% science bibliography collection on
%%% ftp.ira.uka.de in /pub/bibliography to
%%% which many people of have contributed. The
%%% snapshot of this collection was taken on
%%% 5-May-1994, and it consists of 441 BibTeX
%%% files, 2,672,675 lines, 205,289 entries,
%%% and 6,375 <at>String{} abbreviations,
%%% occupying 94.8MB of disk space.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted in
%%% publication order within each journal,
%%% using bibsort -byvolume.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
@Preamble{
"\ifx \cyr \undefined \let \cyr = \relax \fi"
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%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-sf = "Stefano Foresti,
Utah Supercomputing Institute,
University of Utah,
Salt Lake City, UT 84112, USA,
Tel: +1 801 581 3173,
FAX: +1 801 585 5366,
e-mail: \path|stefano@osiris.usi.utah.edu|"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-SIAM-J-DISCR-MATH = "SIAM Journal on Discrete Mathematics"}
@String{j-SIAM-REVIEW = "SIAM Review"}
%%% ====================================================================
%%% Here are the issue-number/month correspondences:
%%% 1972--1984: vol. n: 1 (jan), 2 (apr), 3 (jul), 4 (oct)
%%% 1985--date: vol. n: 1 (mar), 2 (jun), 3 (sep), 4 (dec)
%%%
%%% Here are the journal's Web site holdings as of 30-Apr-2008:
%%%
%%% v. 7 (1965) # 1 pp. 1-179 # 2 pp. 181-321 # 3 pp. 323-461 # 4 pp. 463-623
%%% v. 8 (1966) # 1 pp. 1-143 # 2 pp. 145-275 # 3 pp. 277-426 # 4 pp. 427-591
%%% v. 9 (1967) # 1 pp. 1-164 # 2 pp. 165-415 # 3 pp. 417-626 # 4 pp. 627-777
%%% v. 10 (1968) # 1 pp. 1-119 # 2 pp. 121-290 # 3 pp. 291-405 # 4 pp. 407-500
%%% v. 11 (1969) # 1 pp. 1-125 # 2 pp. 127-306 # 3 pp. 307-427 # 4 pp. 429-672
%%% v. 12 (1970) # 1 pp. 1-174 # S1 pp. 1-68 # 2 pp. 175-324 # 3 pp. 325-480 # 4 pp. 481-602
%%% v. 13 (1971) # 1 pp. 1-167 # 2 pp. 169-288 # 3 pp. 289-423 # 4 pp. 425-595
%%% v. 14 (1972) # 1 pp. 1-223 # 2 pp. 225-384 # 3 pp. 385-546 # 4 pp. 547-676
%%% v. 15 (1973) # 1 pp. 1-273 # 2 pp. iii-584 # 3 pp. 585-685 # 4 pp. 687-820
%%% v. 16 (1974) # 1 pp. 1-141 # 2 pp. 143-293 # 3 pp. 295-417 # 4 pp. 419-592
%%% v. 17 (1975) # 1 pp. 1-195 # 2 pp. 201-394 # 3 pp. 395-592 # 4 pp. 593-721
%%% v. 18 (1976) # 1 pp. 1-159 # 2 pp. 161-349 # 3 pp. 351-544 # 4 pp. 545-841
%%% v. 19 (1977) # 1 pp. 1-187 # 2 pp. 189-401 # 3 pp. 403-591 # 4 pp. vi-790
%%% v. 20 (1978) # 1 pp. vi-212 # 2 pp. 213-441 # 3 pp. 443-637 # 4 pp. 639-887
%%% v. 21 (1979) # 1 pp. 1-156 # 2 pp. 157-288 # 3 pp. 289-441 # 4 pp. 443-596
%%% v. 22 (1980) # 1 pp. 1-117 # 2 pp. 119-262 # 3 pp. 263-399 # 4 pp. 401-537
%%% v. 23 (1981) # 1 pp. 1-141 # 2 pp. 143-277 # 3 pp. 279-424 # 4 pp. 425-566
%%% v. 24 (1982) # 1 pp. 1-112 # 2 pp. 113-261 # 3 pp. 263-380 # 4 pp. 381-516
%%% v. 25 (1983) # 1 pp. 1-149 # 2 pp. 151-310 # 3 pp. 311-454 # 4 pp. 455-617
%%% v. 26 (1984) # 1 pp. 1-162 # 2 pp. 163-322 # 3 pp. 323-472 # 4 pp. 473-637
%%% v. 27 (1985) # 1 pp. 1-148 # 2 pp. 149-334 # 3 pp. 335-484 # 4 pp. 485-623
%%% v. 28 (1986) # 1 pp. 1-151 # 2 pp. 153-306 # 3 pp. 307-457 # 4 pp. 459-620
%%% v. 29 (1987) # 1 pp. 1-183 # 2 pp. 185-357 # 3 pp. 359-523 # 4 pp. 525-696
%%% v. 30 (1988) # 1 pp. 1-192 # 2 pp. 193-373 # 3 pp. 375-550 # 4 pp. 551-695
%%% v. 31 (1989) # 1 pp. 1-190 # 2 pp. 191-364 # 3 pp. 365-532 # 4 pp. 533-727
%%% v. 32 (1990) # 1 pp. 1-210 # 2 pp. 211-353 # 3 pp. 355-535 # 4 pp. 537-722
%%% v. 33 (1991) # 1 pp. 1-173 # 2 pp. 175-348 # 3 pp. 349-518 # 4 pp. 519-694
%%% v. 34 (1992) # 1 pp. 1-166 # 2 pp. 167-359 # 3 pp. 361-527 # 4 pp. 529-698
%%% v. 35 (1993) # 1 pp. 1-182 # 2 pp. 183-358 # 3 pp. 359-550 # 4 pp. 551-694
%%% v. 36 (1994) # 1 pp. 1-156 # 2 pp. 157-340 # 3 pp. 341-536 # 4 pp. 537-691
%%% v. 37 (1995) # 1 pp. 1-149 # 2 pp. 151-296 # 3 pp. 297-489 # 4 pp. 491-647
%%% v. 38 (1996) # 1 pp. 1-189 # 2 pp. 191-365 # 3 pp. 367-551 # 4 pp. vii-721
%%% v. 39 (1997) # 1 pp. 1-178 # 2 pp. 187-374 # 3 pp. 383-569 # 4 pp. 575-809
%%% Locus, SIAM's Online Journal Archive (1959 to 1996), starts here.
%%% v. 40 (1998) # 1 pp. 1-181 # 2 pp. 189-431 # 3 pp. 441-760 # 4 pp. 765-1024
%%% v. 41 (1999) # 1 pp. ix-195 # 2 pp. 197-373 # 3 pp. 415-633 # 4 pp. 635-851
%%% v. 42 (2000) # 1 pp. 1-157 # 2 pp. 159-365 # 3 pp. 367-552 # 4 pp. 553-768
%%% v. 43 (2001) # 1 pp. 1-232 # 2 pp. 233-409 # 3 pp. 411-581 # 4 pp. 583-707
%%% v. 44 (2002) # 1 pp. 1-165 # 2 pp. 167-279 # 3 pp. 309-522 # 4 pp. 523-747
%%% v. 45 (2003) # 1 pp. 1-164 # 2 pp. 165-381 # 3 pp. 383-624 # 4 pp. 625-845
%%% v. 46 (2004) # 1 pp. 1-185 # 2 pp. 187-374 # 3 pp. 375-595 # 4 pp. 597-771
%%% v. 47 (2005) # 1 pp. 1-163 # 2 pp. 195-403 # 3 pp. 405-626 # 4 pp. 627-858
%%% v. 48 (2006) # 1 pp. 1-204 # 2 pp. 205-436 # 3 pp. 437-626 # 4 pp. 627-821
%%% v. 49 (2007) # 1 pp. 1-176 # 2 pp. 177-367 # 3 pp. 369-542 # 4 pp. 543-732
%%% v. 50 (2008) # 1 pp. 1-195
%%% ====================================================================
%%% ====================================================================
%%% Bibliography entries.
@Article{Good:1959:SLR,
author = "R. A. Good",
title = "Systems of linear relations",
journal = j-SIAM-REVIEW,
volume = "1",
number = "1",
pages = "1--31",
month = "????",
year = "1959",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Forsythe:1959:RNR,
author = "G. E. Forsythe",
title = "Reprint of a note on rounding-off errors",
journal = j-SIAM-REVIEW,
volume = "1",
number = "1",
pages = "66--67",
month = "????",
year = "1959",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Scott:1959:ESS,
author = "E. J. Scott",
title = "An eigenfunction series solution of a certain
hyperbolic partial differential equation",
journal = j-SIAM-REVIEW,
volume = "1",
number = "1",
pages = "160--166",
month = "????",
year = "1959",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Greville:1960:SAP,
author = "T. N. E. Greville",
title = "Some applications of the pseudoinverse of a matrix",
journal = j-SIAM-REVIEW,
volume = "2",
number = "1",
pages = "15--22",
month = "????",
year = "1960",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Rivlin:1960:NSI,
author = "R. J. Rivlin",
title = "A note on smooth interpolation",
journal = j-SIAM-REVIEW,
volume = "2",
number = "1",
pages = "27--30",
month = "????",
year = "1960",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Mayer:1960:RTA,
author = "A. Mayer",
title = "Rotations and their algebra",
journal = j-SIAM-REVIEW,
volume = "2",
number = "1",
pages = "77--122",
month = "????",
year = "1960",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Ahlfors:1961:CCA,
author = "L. V. Ahlfors",
title = "Classical and contemporary analysis",
journal = j-SIAM-REVIEW,
volume = "3",
number = "1",
pages = "1--9",
month = "????",
year = "1961",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Mills:1961:SSP,
author = "H. D. Mills",
title = "Smoothing in servo processes",
journal = j-SIAM-REVIEW,
volume = "3",
number = "1",
pages = "131--139",
month = "????",
year = "1961",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Stelson:1961:RCL,
author = "H. Stelson",
title = "On the reducibility of certain linear differential
operators",
journal = j-SIAM-REVIEW,
volume = "3",
number = "1",
pages = "144--151",
month = "????",
year = "1961",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Reza:1962:BDP,
author = "F. M. Reza",
title = "A bound for the derivative of positive real
functions",
journal = j-SIAM-REVIEW,
volume = "4",
number = "1",
pages = "40--42",
month = "????",
year = "1962",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Peck:1962:PCF,
author = "J. E. L. Peck",
title = "Polynomial curve fitting with constraint",
journal = j-SIAM-REVIEW,
volume = "4",
number = "1",
pages = "135--151",
month = "????",
year = "1962",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Schoenfeld:1962:IT,
author = "L. Schoenfeld",
title = "On integrals of the type $\int\sb 0\sp \infty f(x)\log
\left| {x+1\over x-1} \right|dx$",
journal = j-SIAM-REVIEW,
volume = "4",
number = "1",
pages = "154--157",
month = "????",
year = "1962",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
note = "A remark on a previous paper, SIAM Review 4, 147
(1962).",
acknowledgement = ack-nhfb,
}
@Article{Berman:1963:ARL,
author = "Gerald Berman and R. G. Stanton",
title = "The asymptotes of the root locus",
journal = j-SIAM-REVIEW,
volume = "5",
number = "3",
pages = "209--218",
month = "????",
year = "1963",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Chartres:1963:GPT,
author = "B. A. Chartres",
title = "A geometrical proof of a theorem due to {D. Slepian}",
journal = j-SIAM-REVIEW,
volume = "5",
number = "4",
pages = "335--341",
month = "????",
year = "1963",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Lindamood:1963:MCO,
author = "George E. Lindamood and George Shapiro",
title = "Magnitude comparison and overflow detection in modular
arithmetic computers",
journal = j-SIAM-REVIEW,
volume = "5",
number = "4",
pages = "342--350",
month = "????",
year = "1963",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Roos:1964:NGD,
author = "B. W. Roos",
title = "Note on generalized dynamical systems",
journal = j-SIAM-REVIEW,
volume = "6",
number = "3",
pages = "269--274",
month = "????",
year = "1964",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Parlett:1964:DUM,
author = "Beresford Parlett",
title = "The development and use of methods of {LR} type",
journal = j-SIAM-REVIEW,
volume = "6",
number = "3",
pages = "275--295",
month = "????",
year = "1964",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Ulam:1964:CAI,
author = "S. Ulam",
title = "Combinatorial analysis in infinite sets and some
physical theories",
journal = j-SIAM-REVIEW,
volume = "6",
number = "4",
pages = "343--355",
month = "????",
year = "1964",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Blanch:1964:NEC,
author = "G. Blanch",
title = "Numerical Evaluation of Continued Fractions",
journal = j-SIAM-REVIEW,
volume = "6",
number = "4",
pages = "383--421",
month = oct,
year = "1964",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Aug 29 08:12:16 2007",
acknowledgement = ack-nhfb,
}
@Article{Juncosa:1964:BRP,
author = "Mario Juncosa",
title = "Book Review: {{\em Proceedings of the 15th Symposium
in Applied Mathematics of the A.M.S. Experimental
Arithmetic, High Speed Computing and Mathematics}, by
N. C. Metropolis, A. H. Taub, John Todd, and C. B.
Tompkins}",
journal = j-SIAM-REVIEW,
volume = "6",
number = "4",
pages = "468--471",
month = oct,
year = "1964",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Tue Mar 20 13:37:49 2007",
URL = "http://links.jstor.org/sici?sici=0036-1445%28196410%296%3A4%3C468%3APOT1SI%3E2.0.CO%3B2-T",
acknowledgement = ack-nhfb,
}
@Article{Kimme:1965:DPS,
author = "E. G. Kimme",
title = "Distributions of phases of sinusoidal components of
ergodic trigonometric series",
journal = j-SIAM-REVIEW,
volume = "7",
number = "1",
pages = "88--99",
month = "????",
year = "1965",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Ralston:1965:RSN,
author = "Anthony Ralston",
title = "Relative stability in the numerical solution of
ordinary differential equations",
journal = j-SIAM-REVIEW,
volume = "7",
number = "1",
pages = "114--125",
month = "????",
year = "1965",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Kotz:1965:SIC,
author = "Samuel Kotz",
title = "Some inequalities for convex functions useful in
information theory",
journal = j-SIAM-REVIEW,
volume = "7",
number = "3",
pages = "395--402",
month = "????",
year = "1965",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Moser:1966:TQM,
author = "J. Moser",
title = "On the theory of quasiperiodic motions",
journal = j-SIAM-REVIEW,
volume = "8",
number = "2",
pages = "145--172",
month = "????",
year = "1966",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Traub:1966:APU,
author = "J. F. Traub",
title = "Associated polynomials and uniform methods for the
solution of linear problems",
journal = j-SIAM-REVIEW,
volume = "8",
number = "3",
pages = "277--301",
month = "????",
year = "1966",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Tewarson:1966:PFI,
author = "R. P. Tewarson",
title = "On the product form of inverses of sparse matrices",
journal = j-SIAM-REVIEW,
volume = "8",
number = "3",
pages = "336--342",
month = "????",
year = "1966",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Fox:1966:CMD,
author = "David W. Fox and Werne C. Rheinboldt",
title = "Computational Methods for Determining Lower Bounds for
Eigenvalues of Operators in {Hilbert} Space",
journal = j-SIAM-REVIEW,
volume = "8",
number = "4",
pages = "427--462",
month = oct,
year = "1966",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 10:58:54 1997",
bibsource = "Theory/Matrix.bib",
kwds = "nla, eig, symmetric matrix",
}
@Article{Gautschi:1967:CAT,
author = "Walter Gautschi",
title = "Computational Aspects of Three-Term Recurrence
Relations",
journal = j-SIAM-REVIEW,
volume = "9",
number = "1",
pages = "24--82",
month = jan,
year = "1967",
CODEN = "SIREAD",
DOI = "http://dx.doi.org/10.1137/1009002",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
URL = "http://link.aip.org/link/?SIR/9/24/1",
bibdate = "Wed Apr 30 10:29:27 2008",
keywords = "Bessel functions; continued fractions; Coulomb wave
functions; Fourier coefficients; incomplete beta
functions; incomplete gamma functions; Legendre
functions; Sturm--Liouville boundary value problems;
three-term recurrence relations",
remark = "This paper is frequently cited in later work on
continued fractions, three-term recurrence relations,
and special functions.",
acknowledgement = ack-nhfb,
}
@Article{Geoffrion:1967:IPI,
author = "A. M. Geoffrion",
title = "Integer programming by implicit enumeration and
{Balas}' method",
journal = j-SIAM-REVIEW,
volume = "9",
number = "2",
pages = "178--190",
month = "????",
year = "1967",
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bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Rosser:1967:RKA,
author = "J. Barkley Rosser",
title = "A {Runge--Kutta} for all seasons",
journal = j-SIAM-REVIEW,
volume = "9",
number = "3",
pages = "417--452",
month = "????",
year = "1967",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Hull:1967:SOM,
author = "T. E. Hull",
title = "A Search for Optimum Methods for the Numerical
Integration of Ordinary Differential Equations",
journal = j-SIAM-REVIEW,
volume = "9",
number = "4",
pages = "647--654",
month = oct,
year = "1967",
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bibdate = "Mon Jan 27 10:58:53 1997",
}
@Article{Rabinowitz:1968:ALP,
author = "Philip Rabinowitz",
title = "Applications of linear programming to numerical
analysis",
journal = j-SIAM-REVIEW,
volume = "10",
number = "2",
pages = "121--159",
month = "????",
year = "1968",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Meicler:1968:CSI,
author = "Marcel Meicler",
title = "{Chebyshev} solution of an inconsistent system of
$n+1$ linear equations in $n$ unknowns in terms of its
least squares solution",
journal = j-SIAM-REVIEW,
volume = "10",
number = "3",
pages = "373--375",
month = "????",
year = "1968",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Millham:1968:SEP,
author = "C. B. Millham",
title = "On the structure of equilibrium points in bimatrix
games",
journal = j-SIAM-REVIEW,
volume = "10",
number = "4",
pages = "447--448",
month = "????",
year = "1968",
CODEN = "SIREAD",
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bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Balinski:1969:DTL,
author = "M. L. Balinski and A. W. Tucker",
title = "Duality theory of linear programs: {A} constructive
approach with applications",
journal = j-SIAM-REVIEW,
volume = "11",
number = "3",
pages = "347--377",
month = "????",
year = "1969",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Miller:1969:CGP,
author = "K. S. Miller",
title = "Complex {Gaussian} processes",
journal = j-SIAM-REVIEW,
volume = "11",
number = "4",
pages = "544--567",
month = "????",
year = "1969",
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bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Rosenberg:1969:RDG,
author = "Milton Rosenberg",
title = "Range decomposition and generalized inverse of
nonnegative {Hermitian} matrices",
journal = j-SIAM-REVIEW,
volume = "11",
number = "4",
pages = "568--571",
month = "????",
year = "1969",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Zlobec:1970:EFM,
author = "Sanjo Zlobec",
title = "An explicit form of the {Moore--Penrose} inverse of an
arbitrary complex matrix.",
journal = j-SIAM-REVIEW,
volume = "12",
number = "1",
pages = "132--134",
month = "????",
year = "1970",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Duffin:1970:LGP,
author = "R. J. Duffin",
title = "Linearizing geometric programs",
journal = j-SIAM-REVIEW,
volume = "12",
number = "2",
pages = "211--227",
month = "????",
year = "1970",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Cody:1970:SPR,
author = "W. J. Cody",
title = "A Survey of Practical Rational and Polynomial
Approximation of Functions",
journal = j-SIAM-REVIEW,
volume = "12",
number = "3",
pages = "400--423",
month = jul,
year = "1970",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65.20 (41.00)",
MRnumber = "42\#2627",
bibdate = "Wed Jan 17 08:57:15 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
note = "Reprinted in {\em Studies in Applied Mathematics},
{\bf 6}, SIAM, 1970, pp. 86--109.",
acknowledgement = ack-wjc,
}
@Article{Balinski:1970:PM,
author = "M. L. Balinski",
title = "On perfect matchings",
journal = j-SIAM-REVIEW,
volume = "12",
number = "4",
pages = "570--572",
month = "????",
year = "1970",
CODEN = "SIREAD",
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bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Geoffrion:1971:DNP,
author = "A. M. Geoffrion",
title = "Duality in nonlinear programming: a simplified
applications-oriented development",
journal = j-SIAM-REVIEW,
volume = "13",
number = "1",
pages = "1--37",
month = "????",
year = "1971",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Joyce:1971:SEP,
author = "bD. C. Joyce",
title = "Survey of extrapolation processes in numerical
analysis",
journal = j-SIAM-REVIEW,
volume = "13",
number = "4",
pages = "435--490",
month = "????",
year = "1971",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Wilkinson:1971:MEA,
author = "J. H. Wilkinson",
title = "Modern error analysis",
journal = j-SIAM-REVIEW,
volume = "13",
number = "4",
pages = "548--568",
month = "????",
year = "1971",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Lagerstrom:1972:BCU,
author = "P. A. Lagerstrom and R. G. Casten",
title = "Basic concepts underlying singular perturbation
techniques",
journal = j-SIAM-REVIEW,
volume = "14",
number = "1",
pages = "63--120",
month = "????",
year = "1972",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Sharma:1972:SPN,
author = "A. Sharma",
title = "Some poised and nonpoised problems of interpolation",
journal = j-SIAM-REVIEW,
volume = "14",
number = "1",
pages = "129--151",
month = "????",
year = "1972",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Grinold:1972:SAL,
author = "Richard C. Grinold",
title = "Steepest ascent for large-scale linear programs",
journal = j-SIAM-REVIEW,
volume = "14",
number = "3",
pages = "447--464",
month = "????",
year = "1972",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Dorr:1973:AMP,
author = "F. W. Dorr and S. V. Parter and L. F. Shampine",
title = "Applications of the maximum principle to singular
perturbation problems",
journal = j-SIAM-REVIEW,
volume = "15",
number = "1",
pages = "43--88",
month = "????",
year = "1973",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Golub:1973:SMM,
author = "Gene H. Golub",
title = "Some Modified Matrix Eigenvalue Problems",
journal = j-SIAM-REVIEW,
volume = "15",
number = "2",
pages = "318--344",
month = apr,
year = "1973",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F15",
MRnumber = "48 7569",
MRreviewer = "J. F. Traub",
bibdate = "Mon Jan 27 11:00:02 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib",
note = "Cited in {\AA}ke Bj{\"o}rck's bibliography on least
squares, which is available by anonymous ftp from {\tt
math.liu.se} in {\tt pub/references}.",
error = "conflicting pages with your cv: 318-335",
keywords = "nla, eig, updating",
}
@Article{Young:1973:SMN,
author = "David M. Young",
title = "A survey of modern numerical analysis",
journal = j-SIAM-REVIEW,
volume = "15",
number = "2",
pages = "503--523",
month = apr,
year = "1973",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65-03 (65-02)",
MRnumber = "52 15937",
bibdate = "Mon Jan 27 10:59:12 1997",
acknowledgement = ack-nhfb,
}
@Article{Polak:1973:HSC,
author = "E. Polak",
title = "An historical survey of computational methods in
optimal control",
journal = j-SIAM-REVIEW,
volume = "15",
number = "2",
pages = "553--584",
month = "????",
year = "1973",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Stewart:1973:EPB,
author = "G. W. Stewart",
title = "Error and perturbation bounds for subspaces associated
with certain eigenvalue problems",
journal = j-SIAM-REVIEW,
volume = "15",
number = "4",
pages = "727--764",
month = "????",
year = "1973",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{More:1974:CCN,
author = "J. J. Mor{\'e}",
title = "Coercivity conditions in nonlinear complementarity
problems",
journal = j-SIAM-REVIEW,
volume = "16",
number = "1",
pages = "1--16",
month = jan,
year = "1974",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 11:00:15 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib",
}
@Article{Cody:1974:CNS,
author = "W. J. Cody",
title = "The construction of numerical subroutine libraries",
journal = j-SIAM-REVIEW,
volume = "16",
number = "1",
pages = "36--46",
month = jan,
year = "1974",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Sat Sep 24 00:21:43 1994",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
acknowledgement = ack-nhfb,
}
@Article{Vilms:1974:DTF,
author = "Jaak Vilms",
title = "Differentiation of tensor fields. {II}.",
journal = j-SIAM-REVIEW,
volume = "16",
number = "3",
pages = "303--308",
month = "????",
year = "1974",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Wets:1974:SPF,
author = "Roger J.-B. Wets",
title = "Stochastic programs with fixed recourse: The
equivalent deterministic program",
journal = j-SIAM-REVIEW,
volume = "16",
number = "3",
pages = "309--339",
month = "????",
year = "1974",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Andrews:1974:ABH,
author = "George E. Andrews",
title = "Applications of basic hypergeometric functions",
journal = j-SIAM-REVIEW,
volume = "16",
number = "4",
pages = "441--484",
month = "????",
year = "1974",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Dorr:1975:DSD,
author = "Fred W. Dorr",
title = "The direct solution of the discrete {Poisson} equation
in {$O(N^2)$} operations",
journal = j-SIAM-REVIEW,
volume = "17",
number = "3",
pages = "412--415",
month = "????",
year = "1975",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Weinstein:1975:CTO,
author = "Mills B. Weinstein and Donald R. Smith",
title = "Comparison techniques for overdamped systems",
journal = j-SIAM-REVIEW,
volume = "17",
number = "3",
pages = "520--540",
month = "????",
year = "1975",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Kirchgaessner:1975:BNH,
author = "Klaus Kirchgaessner",
title = "Bifurcation in nonlinear hydrodynamic stability",
journal = j-SIAM-REVIEW,
volume = "17",
number = "4",
pages = "652--683",
month = "????",
year = "1975",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Lighthill:1976:FHJ,
author = "James Lighthill",
title = "Flagellar hydrodynamics. The {John von Neumann}
lecture, 1975",
journal = j-SIAM-REVIEW,
volume = "18",
number = "2",
pages = "161--230",
month = "????",
year = "1976",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Shampine:1976:SNO,
author = "L. F. Shampine and H. A. Watts and S. M. Davenport",
title = "Solving nonstiff ordinary differential equations ---
the state of the art",
journal = j-SIAM-REVIEW,
volume = "18",
number = "3",
pages = "376--411",
month = jul,
year = "1976",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
acknowledgement = ack-nhfb,
}
@Article{Miura:1976:KVE,
author = "Robert M. Miura",
title = "The {Korteweg-de Vries} equation: a survey of
results",
journal = j-SIAM-REVIEW,
volume = "18",
number = "3",
pages = "412--459",
year = "1976",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35Q99",
MRnumber = "53 \#8689",
MRreviewer = "Ronald Di Perna",
bibdate = "Fri Sep 21 09:24:47 2001",
acknowledgement = ack-nhfb,
}
@Article{Kushner:1976:SSA,
author = "Harold J. Kushner",
title = "A survey of some applications of probability and
stochastic control theory to finite difference methods
for degenerate elliptic and parabolic equations",
journal = j-SIAM-REVIEW,
volume = "18",
number = "4",
pages = "545--577",
month = "????",
year = "1976",
CODEN = "SIREAD",
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bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Golub:1976:ICE,
author = "G. H. Golub and J. H. Wilkinson",
title = "Ill-Conditioned Eigensystems and the Computation of
the {Jordan} Canonical Form",
journal = j-SIAM-REVIEW,
volume = "18",
number = "4",
pages = "578--619",
month = oct,
year = "1976",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F15 (15A21)",
MRnumber = "54 \#1570",
MRreviewer = "Robert Todd Gregory",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
Parallel/par.lin.alg.bib; Theory/Matrix.bib",
kwds = "nla, eig, Jordan form, condition, pert,
ill-conditioned problem",
}
@Article{Bjorck:1977:EMA,
author = "{\AA}ke Bj{\"o}rck and Gene H. Golub",
title = "Eigenproblems for matrices associated with periodic
boundary conditions",
journal = j-SIAM-REVIEW,
volume = "19",
number = "1",
pages = "5--16",
month = jan,
year = "1977",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F15",
MRnumber = "55 1716",
MRreviewer = "B. Levinger",
bibdate = "Sun Jan 14 09:50:11 1996",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
acknowledgement = ack-nhfb # " and " # ack-sf,
}
@Article{Dennis:1977:QNM,
author = "J. E. {Dennis, Jr.} and Jorge J. Mor{\'e}",
title = "Quasi-{Newton} methods, motivation and theory",
journal = j-SIAM-REVIEW,
volume = "19",
number = "1",
pages = "46--89",
month = jan,
year = "1977",
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bibdate = "Mon Jan 27 11:00:54 1997",
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}
@Article{Thom:1977:SSC,
author = "Rene Thom",
title = "Structural stability, catastrophe theory, and applied
mathematics",
journal = j-SIAM-REVIEW,
volume = "19",
number = "2",
pages = "189--201",
month = "????",
year = "1977",
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bibdate = "Wed Apr 29 18:26:14 1998",
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@Article{Eckhaus:1977:FAS,
author = "Wiktor Eckhaus",
title = "Formal approximations and singular perturbations",
journal = j-SIAM-REVIEW,
volume = "19",
number = "4",
pages = "593--633",
month = "????",
year = "1977",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Sethi:1977:DOC,
author = "Suresh P. Sethi",
title = "Dynamic optimal control models in advertising: {A}
survey",
journal = j-SIAM-REVIEW,
volume = "19",
number = "4",
pages = "685--725",
month = "????",
year = "1977",
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bibdate = "Wed Apr 29 18:26:14 1998",
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}
@Article{Whittemore:1978:QTC,
author = "Alice Whittemore and Joseph B. Keller",
title = "Quantitative theories of carcinogenesis",
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volume = "20",
number = "1",
pages = "1--30",
month = jan,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A07",
MRnumber = "80a:92024",
MRreviewer = "Howard B. Stauffer",
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}
@Article{Aronson:1978:CMS,
author = "D. G. Aronson",
title = "A comparison method for stability analysis of
nonlinear parabolic problems",
journal = j-SIAM-REVIEW,
volume = "20",
number = "2",
pages = "245--264",
month = apr,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35B99 (35K55 92A40)",
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MRreviewer = "C. Bardos",
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}
@Article{Diaz:1978:MPE,
author = "J. B. D{\'i}az",
title = "Mathematical prolegomena to every theory of
homogeneous heat engines",
journal = j-SIAM-REVIEW,
volume = "20",
number = "2",
pages = "265--277",
month = apr,
year = "1978",
CODEN = "SIREAD",
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MRnumber = "80a:80003",
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}
@Article{Barclay:1978:DPM,
author = "H. Barclay and P. van den Driessche",
title = "Deterministic population models and stability",
journal = j-SIAM-REVIEW,
volume = "20",
number = "2",
pages = "389--393",
month = apr,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A15",
MRnumber = "80a:92039",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Moore:1978:BSF,
author = "R. Moore",
title = "Bounding sets in function spaces with applications to
nonlinear operator equations",
journal = j-SIAM-REVIEW,
volume = "20",
number = "3",
pages = "492--512",
month = "????",
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Sep 22 14:30:41 2003",
acknowledgement = ack-nhfb,
}
@Article{Reid:1978:HNM,
author = "William T. Reid",
title = "A historical note on the maximum principle",
journal = j-SIAM-REVIEW,
volume = "20",
number = "3",
pages = "580--582",
month = jul,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49-03 (01A60)",
MRnumber = "81h:49002",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Russell:1978:CST,
author = "David L. Russell",
title = "Controllability and stabilizability theory for linear
partial differential equations: recent progress and
open questions",
journal = j-SIAM-REVIEW,
volume = "20",
number = "4",
pages = "639--739",
month = oct,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93B05 (49B99)",
MRnumber = "80c:93032",
MRreviewer = "Vadim Komkov",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Heller:1978:SPA,
author = "Don Heller",
title = "A survey of parallel algorithms in numerical linear
algebra",
journal = j-SIAM-REVIEW,
volume = "20",
number = "4",
pages = "740--777",
month = oct,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65Fxx (68C05)",
MRnumber = "80a:65063",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Amos:1978:ESC,
author = "Donald E. Amos",
title = "Evaluation of some cumulative distribution functions
by numerical quadrature",
journal = j-SIAM-REVIEW,
volume = "20",
number = "4",
pages = "778--800",
month = oct,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65D32 (62E30 65U05)",
MRnumber = "80g:65021",
MRreviewer = "James E. Gentle",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Moler:1978:NDW,
author = "Cleve Moler and Charles {Van Loan}",
title = "Nineteen dubious ways to compute the exponential of a
matrix",
journal = j-SIAM-REVIEW,
volume = "20",
number = "4",
pages = "801--836",
month = oct,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "15A15",
MRnumber = "80c:15004",
MRreviewer = "C. G. Cullen",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
bibsource = "Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "nla, matrix exponential, eig, matrix function",
}
@Article{Gudder:1978:EMS,
author = "Stanley P. Gudder",
title = "Erratum: {``Convexity and mixtures''} (Siam Rev. {\bf
19} ({1977}), no. 2, 221--240)",
journal = j-SIAM-REVIEW,
volume = "20",
number = "4",
pages = "837--837",
month = oct,
year = "1978",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "52A05 (81C99 90A05)",
MRnumber = "80b:52004",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Shampine:1979:UVS,
author = "L. F. Shampine and C. W. Gear",
title = "A user's view of solving stiff ordinary differential
equations",
journal = j-SIAM-REVIEW,
volume = "21",
number = "1",
pages = "1--17",
month = jan,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L05",
MRnumber = "80c:65158",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Salinetti:1979:CSC,
author = "Gabriella Salinetti and Roger J.-B. Wets",
title = "On the convergence of sequences of convex sets in
finite dimensions",
journal = j-SIAM-REVIEW,
volume = "21",
number = "1",
pages = "18--33",
month = jan,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "52A20 (90C25)",
MRnumber = "80h:52007",
MRreviewer = "Hans-J{\"u}rgen Albrand",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ziebur:1979:NDL,
author = "Allen D. Ziebur",
title = "New directions in linear differential equations",
journal = j-SIAM-REVIEW,
volume = "21",
number = "1",
pages = "57--70",
month = jan,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34A30 (34D10 65Lxx)",
MRnumber = "80d:34011",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Friedman:1979:OSP,
author = "Avner Friedman",
title = "Optimal stopping problems in stochastic control",
journal = j-SIAM-REVIEW,
volume = "21",
number = "1",
pages = "71--80",
month = jan,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93E20 (60G40)",
MRnumber = "80i:93066",
MRreviewer = "Jean-Michel Bismut",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Clark:1979:MME,
author = "Colin W. Clark",
title = "Mathematical models in the economics of renewable
resources",
journal = j-SIAM-REVIEW,
volume = "21",
number = "1",
pages = "81--99",
month = jan,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90A16",
MRnumber = "80b:90032",
MRreviewer = "G. Chichilnisky",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Varah:1979:PES,
author = "J. M. Varah",
title = "A practical examination of some numerical methods for
linear discrete ill-posed problems",
journal = j-SIAM-REVIEW,
volume = "21",
number = "1",
pages = "100--111",
month = jan,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F05 (65F35)",
MRnumber = "80c:65075",
MRreviewer = "Colin M. Campbell",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Clarke:1979:OCT,
author = "Frank H. Clarke",
title = "Optimal control and the true {Hamiltonian}",
journal = j-SIAM-REVIEW,
volume = "21",
number = "2",
pages = "157--166",
month = apr,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49-02",
MRnumber = "80e:49001",
MRreviewer = "Ethelbert N. Chukwu",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Glowinski:1979:NMF,
author = "R. Glowinski and O. Pironneau",
title = "Numerical methods for the first biharmonic equation
and the two-dimensional {Stokes} problem",
journal = j-SIAM-REVIEW,
volume = "21",
number = "2",
pages = "167--212",
month = apr,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65N30 (76D99)",
MRnumber = "80e:65101",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Friedman:1979:TDF,
author = "Avner Friedman",
title = "Time dependent free boundary problems",
journal = j-SIAM-REVIEW,
volume = "21",
number = "2",
pages = "213--221",
month = apr,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76S05 (35R35 49A29 80A20)",
MRnumber = "81g:76097",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lajos:1979:FPB,
author = "Lajos Tak{\'a}cs",
title = "Fluctuation problems for {Bernoulli} trials",
journal = j-SIAM-REVIEW,
volume = "21",
number = "2",
pages = "222--228",
month = apr,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60C05 (60J15)",
MRnumber = "80e:60019",
MRreviewer = "S. G. Mohanty",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Keller:1979:PPT,
author = "Joseph B. Keller",
title = "Progress and prospects in the theory of linear wave
propagation",
journal = j-SIAM-REVIEW,
volume = "21",
number = "2",
pages = "229--245",
month = apr,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "78A40 (01A65 01A74)",
MRnumber = "80c:78012",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{LeBlond:1979:OWS,
author = "Paul H. LeBlond and Lawrence A. Mysak",
title = "Ocean waves: a survey of some recent results",
journal = j-SIAM-REVIEW,
volume = "21",
number = "3",
pages = "289--328",
month = jul,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A05 (35Q99 76C10)",
MRnumber = "80g:86004",
MRreviewer = "Robert Pearson",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kelman:1979:LSF,
author = "Robert B. Kelman",
title = "Least squares {Fourier} series solutions to boundary
value problems",
journal = j-SIAM-REVIEW,
volume = "21",
number = "3",
pages = "329--338",
month = jul,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35C10 (65N99)",
MRnumber = "80f:35017",
MRreviewer = "Alexander Doktor",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Peters:1979:III,
author = "G. Peters and J. H. Wilkinson",
title = "Inverse iteration, ill-conditioned equations and
{Newton}'s method",
journal = j-SIAM-REVIEW,
volume = "21",
number = "3",
pages = "339--360",
month = jul,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (65F15)",
MRnumber = "80f:65040",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Holmes:1979:MFS,
author = "Richard B. Holmes",
title = "Mathematical foundations of signal processing",
journal = j-SIAM-REVIEW,
volume = "21",
number = "3",
pages = "361--388",
month = jul,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "94A05",
MRnumber = "81j:94001",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dennis:1979:LCS,
author = "J. E. {Dennis, Jr.} and R. B. Schnabel",
title = "Least change secant updates for {quasi-Newton}
methods",
journal = j-SIAM-REVIEW,
volume = "21",
number = "4",
pages = "443--459",
month = oct,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H10 (65K05)",
MRnumber = "80j:65021",
MRreviewer = "Kurt Georg",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Efron:1979:CTS,
author = "Bradley Efron",
title = "Computers and the theory of statistics: thinking the
unthinkable",
journal = j-SIAM-REVIEW,
volume = "21",
number = "4",
pages = "460--480",
month = oct,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62-01",
MRnumber = "82b:62001",
MRreviewer = "Bruce W. Turnbull",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Henrici:1979:FFM,
author = "Peter Henrici",
title = "Fast {Fourier} Methods in Computational Complex
Analysis",
journal = j-SIAM-REVIEW,
volume = "21",
number = "4",
pages = "481--527",
month = oct,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65E05",
MRnumber = "80i:65031",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1979.bib",
acknowledgement = ack-nhfb,
country = "USA",
date = "22/09/88",
descriptors = "Mathematics;",
enum = "1332",
language = "English",
location = "UniS-IND",
references = "70",
revision = "21/04/91",
}
@Article{Saunders:1979:AGS,
author = "B. David Saunders and Hans Schneider",
title = "Applications of the {Gordan--Stiemke} theorem in
combinatorial matrix theory",
journal = j-SIAM-REVIEW,
volume = "21",
number = "4",
pages = "528--541",
month = oct,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "15A48 (05B20 15A33)",
MRnumber = "81e:15009",
MRreviewer = "R. A. Brualdi",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kosko:1979:TDP,
author = "Eryk Kosko",
title = "Three-dimensional pipe joining",
journal = j-SIAM-REVIEW,
volume = "21",
number = "4",
pages = "542--549",
month = oct,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "51M05",
MRnumber = "80h:51019",
MRreviewer = "J. F. Rigby",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wang:1979:DIC,
author = "Chung Lie Wang",
title = "On development of inverses of the {Cauchy} and
{H{\"o}lder} inequalities",
journal = j-SIAM-REVIEW,
volume = "21",
number = "4",
pages = "550--557",
month = oct,
year = "1979",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "26D15",
MRnumber = "80g:26023",
MRreviewer = "E. F. Beckenbach",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Nazareth:1980:SRA,
author = "Larry Nazareth",
title = "Some recent approaches to solving large residual
nonlinear least squares problems",
journal = j-SIAM-REVIEW,
volume = "22",
number = "1",
pages = "1--11",
month = jan,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H10 (65D10)",
MRnumber = "80k:65047",
MRreviewer = "K. H. V. Booth",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Eiseman:1980:CLF,
author = "P. R. Eiseman and A. P. Stone",
title = "Conservation laws of fluid dynamics---a survey",
journal = j-SIAM-REVIEW,
volume = "22",
number = "1",
pages = "12--27",
month = jan,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L65 (53A45 58A15 76A02)",
MRnumber = "81f:35076",
MRreviewer = "P. G{\"u}nther",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Allgower:1980:SCM,
author = "Eugene Allgower and Kurt Georg",
title = "Simplicial and continuation methods for approximating
fixed points and solutions to systems of equations",
journal = j-SIAM-REVIEW,
volume = "22",
number = "1",
pages = "28--85",
month = jan,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "47H17 (47H10 55M25 58C15 65H10 90C30)",
MRnumber = "81d:47040",
MRreviewer = "Yu. G. Borisovich",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Salinetti:1980:ACC,
author = "G. Salinetti and R. Wets",
title = "Addendum: {``On the convergence of convex sets in
finite dimensions''}\ [{SIAM} Rev. {\bf 21} ({1979}),
no. 1, 18--33 and {MR} 80h:52007]",
journal = j-SIAM-REVIEW,
volume = "22",
number = "1",
pages = "86--86",
month = jan,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "52A20 (90C25)",
MRnumber = "81g:52006",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Schuss:1980:SPM,
author = "Zeev Schuss",
title = "Singular perturbation methods in stochastic
differential equations of mathematical physics",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "119--155",
month = apr,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60H10 (35B25)",
MRnumber = "81g:60065",
MRreviewer = "Pierre-Louis Lions",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Reddien:1980:PMT,
author = "G. W. Reddien",
title = "Projection methods for two-point boundary value
problems",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "156--171",
month = apr,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L10 (34B05)",
MRnumber = "81e:65049",
MRreviewer = "Johannes Elschner",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Artstein:1980:DCB,
author = "Zvi Artstein",
title = "Discrete and continuous bang-bang and facial spaces
or: look for the extreme points",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "172--185",
month = apr,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49A36 (93C55)",
MRnumber = "83k:49020",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Antman:1980:CAB,
author = "Stuart S. Antman and Gerald Rosenfeld",
title = "Corrections and additions: {``Global behavior of
buckled states of nonlinearly elastic rods''} [{SIAM}
Rev. {\bf 20} ({1978}), no. 3, 513--566 and {MR} {\bf
58} \#14107]",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "186--187",
month = apr,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "73H05 (73K05)",
MRnumber = "81m:73042",
MRreviewer = "M. O. Bashele{\u{\i}} shvili",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Olver:1980:AAE,
author = "F. W. J. Olver",
title = "Asymptotic approximations and error bounds",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "188--203",
month = apr,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "41A60 (65D20)",
MRnumber = "81c:41071",
MRreviewer = "L. Berg",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Meyer:1980:EA,
author = "R. E. Meyer",
title = "Exponential asymptotics",
journal = j-SIAM-REVIEW,
volume = "22",
number = "2",
pages = "213--224",
month = apr,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "41A60 (34E20)",
MRnumber = "81c:41070",
MRreviewer = "F. W. J. Olver",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Garcia:1980:RBS,
author = "C. B. Garc{\'i}a and F. J. Gould",
title = "Relations between several path following algorithms
and local and global {Newton} methods",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "263--274",
month = jul,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H10 (55M20 58C30 90C30)",
MRnumber = "81m:65073",
MRreviewer = "Kurt Georg",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mow:1980:RDS,
author = "Van C. Mow and W. Michael Lai",
title = "Recent developments in synovial joint biomechanics",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "275--317",
month = jul,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A09 (76Z05)",
MRnumber = "81g:92009",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ruhe:1980:ASN,
author = "Axel Ruhe and Per {\AA}ke Wedin",
title = "Algorithms for separable nonlinear least squares
problems",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "318--337",
month = jul,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C30",
MRnumber = "82a:90148",
MRreviewer = "Nobuo Sannomiya",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ecker:1980:GPM,
author = "J. G. Ecker",
title = "Geometric programming: methods, computations and
applications",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "338--362",
month = jul,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C30 (90-02 90A30 90C50)",
MRnumber = "82c:90078",
MRreviewer = "Elmor L. Peterson",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Jordan:1980:CPL,
author = "W. B. Jordan",
title = "A conjectured property of {Legendre} functions",
journal = j-SIAM-REVIEW,
volume = "22",
number = "3",
pages = "369--372",
month = jul,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "41A60 (33A45)",
MRnumber = "81m:41032",
MRreviewer = "F. W. J. Olver",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Wong:1980:EBA,
author = "R. Wong",
title = "Error bounds for asymptotic expansions of integrals",
journal = j-SIAM-REVIEW,
volume = "22",
number = "4",
pages = "401--435",
month = oct,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "41A60 (65R10)",
MRnumber = "82a:41030",
MRreviewer = "L. Berg",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Krall:1980:CSP,
author = "Allan M. Krall",
title = "{Chebyshev} sets of polynomials which satisfy an
ordinary differential equation",
journal = j-SIAM-REVIEW,
volume = "22",
number = "4",
pages = "436--441",
month = oct,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "42C05 (33A65 34B25)",
MRnumber = "82a:42020",
MRreviewer = "T. S. Chihara",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Keller:1980:SBC,
author = "Joseph B. Keller",
title = "Some bubble and contact problems",
journal = j-SIAM-REVIEW,
volume = "22",
number = "4",
pages = "442--458",
month = oct,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76B10 (35R35 73H05 73T05 76Q05 76V05)",
MRnumber = "82a:76010",
MRreviewer = "Alberto Valli",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Casti:1980:LQC,
author = "J. Casti",
title = "The linear-quadratic control problem: some recent
results and outstanding problems",
journal = j-SIAM-REVIEW,
volume = "22",
number = "4",
pages = "459--485",
month = oct,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49A10",
MRnumber = "82c:49003",
MRreviewer = "Arthur J. Krener",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Friedrichs:1980:NHS,
author = "K. O. Friedrichs",
title = "{von Neumann}'s {Hilbert} space theory and partial
differential equations",
journal = j-SIAM-REVIEW,
volume = "22",
number = "4",
pages = "486--493",
month = oct,
year = "1980",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "01A60 (01A70 35-03)",
MRnumber = "82c:01034",
MRreviewer = "L. Reizi{\lfhook{n}}{\v{s}}",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Catherine:1981:ASW,
author = "Catherine Garcia R. and A. A. Minzoni",
title = "An asymptotic solution for the wave equation in a
time-dependent domain",
journal = j-SIAM-REVIEW,
volume = "23",
number = "1",
pages = "1--9",
month = jan,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L20 (78A25)",
MRnumber = "82h:35058",
MRreviewer = "G. P. Bava",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Gear:1981:NSO,
author = "C. W. Gear",
title = "Numerical solution of ordinary differential equations:
is there anything left to do",
journal = j-SIAM-REVIEW,
volume = "23",
number = "1",
pages = "10--24",
month = jan,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65Lxx",
MRnumber = "82c:65043",
MRreviewer = "J. R. Cash",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
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}
@Article{Pritchard:1981:SSI,
author = "A. J. Pritchard and J. Zabczyk",
title = "Stability and stabilizability of infinite-dimensional
systems",
journal = j-SIAM-REVIEW,
volume = "23",
number = "1",
pages = "25--52",
month = jan,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93D20",
MRnumber = "82f:93063",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Henderson:1981:DIS,
author = "H. V. Henderson and S. R. Searle",
title = "On deriving the inverse of a sum of matrices",
journal = j-SIAM-REVIEW,
volume = "23",
number = "1",
pages = "53--60",
month = jan,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "15A09 (15-03 62J99)",
MRnumber = "82c:15005",
MRreviewer = "A. Lee",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Braun:1981:MRV,
author = "Martin Braun",
title = "Mathematical remarks on the {Van Allen} radiation
belt: a survey of old and new results",
journal = j-SIAM-REVIEW,
volume = "23",
number = "1",
pages = "61--93",
month = jan,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76X05 (28D99 86A99)",
MRnumber = "83d:76045",
MRreviewer = "D. ter Haar",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wolkowicz:1981:CMO,
author = "H. Wolkowicz",
title = "A constrained matrix optimization problem",
journal = j-SIAM-REVIEW,
volume = "23",
number = "1",
pages = "101--??",
month = "????",
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}
@Article{Rothblum:1981:ESM,
author = "Uriel G. Rothblum",
title = "Expansions of sums of matrix powers",
journal = j-SIAM-REVIEW,
volume = "23",
number = "2",
pages = "143--164",
month = apr,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F30 (15A51 90C40)",
MRnumber = "83c:65088",
MRreviewer = "J. Segethov{\'a}",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stenger:1981:NMB,
author = "Frank Stenger",
title = "Numerical methods based on {Whittaker} cardinal, or
sinc functions",
journal = j-SIAM-REVIEW,
volume = "23",
number = "2",
pages = "165--224",
month = apr,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65D30 (41-02 41A30 65-02)",
MRnumber = "83g:65027",
MRreviewer = "H. E. Fettis",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Tijs:1981:NEN,
author = "Steve H. Tijs",
title = "{Nash} equilibria for noncooperative $n$-person games
in normal form",
journal = j-SIAM-REVIEW,
volume = "23",
number = "2",
pages = "225--237",
month = apr,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90D10",
MRnumber = "84h:90095",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ascher:1981:RBV,
author = "U. Ascher and R. D. Russell",
title = "Reformulation of boundary value problems into
{``standard''} form",
journal = j-SIAM-REVIEW,
volume = "23",
number = "2",
pages = "238--254",
month = apr,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L10 (34B15)",
MRnumber = "82f:65084",
MRreviewer = "E. R. Hansen",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Morettin:1981:WSA,
author = "Pedro A. Morettin",
title = "{Walsh} spectral analysis",
journal = j-SIAM-REVIEW,
volume = "23",
number = "3",
pages = "279--291",
month = jul,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "42C10 (60G10 62M10 94A05)",
MRnumber = "83f:42019",
MRreviewer = "C. W. Onneweer",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Haussmann:1981:SEO,
author = "U. G. Haussmann",
title = "Some examples of optimal stochastic controls or: the
stochastic maximum principle at work",
journal = j-SIAM-REVIEW,
volume = "23",
number = "3",
pages = "292--307",
month = jul,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49B60 (93E20)",
MRnumber = "83d:49047",
MRreviewer = "Tamer Ba{\cedla{s}}ar",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stewartson:1981:DP,
author = "Keith Stewartson",
title = "{d'Alembert}'s paradox",
journal = j-SIAM-REVIEW,
volume = "23",
number = "3",
pages = "308--343",
month = jul,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76-02",
MRnumber = "82k:76001",
bibdate = "Fri Oct 27 15:25:11 2000",
acknowledgement = ack-nhfb,
}
@Article{Holland:1981:SDA,
author = "A. S. B. Holland",
title = "A survey of degree of approximation of continuous
functions",
journal = j-SIAM-REVIEW,
volume = "23",
number = "3",
pages = "344--379",
month = jul,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "41A25 (42A10)",
MRnumber = "83d:41024",
MRreviewer = "Prem Chandra",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Pearson:1981:DTS,
author = "Carl E. Pearson",
title = "Dual time scales in a wave problem governed by coupled
nonlinear equations",
journal = j-SIAM-REVIEW,
volume = "23",
number = "4",
pages = "425--433",
month = oct,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76B15 (35Q20 76N15)",
MRnumber = "82k:76013",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Malliaris:1981:MMF,
author = "A. G. Malliaris",
title = "Martingale methods in financial decision-making",
journal = j-SIAM-REVIEW,
volume = "23",
number = "4",
pages = "434--443",
month = oct,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90A09",
MRnumber = "82j:90009",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Censor:1981:RAM,
author = "Yair Censor",
title = "Row-action methods for huge and sparse systems and
their applications",
journal = j-SIAM-REVIEW,
volume = "23",
number = "4",
pages = "444--466",
month = oct,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (65H10)",
MRnumber = "82k:65014",
MRreviewer = "Ian Gladwell",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Sarlet:1981:GNT,
author = "Willy Sarlet and Frans Cantrijn",
title = "Generalizations of {Noether}'s theorem in classical
mechanics",
journal = j-SIAM-REVIEW,
volume = "23",
number = "4",
pages = "467--494",
month = oct,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "70H35 (49C10 58F05 70-02)",
MRnumber = "83c:70020",
MRreviewer = "K. R. Meyer",
bibdate = "Fri Oct 27 15:25:15 2000",
acknowledgement = ack-nhfb,
}
@Article{Franccoise:1981:SAL,
author = "Fran{\c{c}}oise Chatelin",
title = "The spectral approximation of linear operators with
applications to the computation of eigenelements of
differential and integral operators",
journal = j-SIAM-REVIEW,
volume = "23",
number = "4",
pages = "495--522",
month = oct,
year = "1981",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "47A55 (47A10 65J10)",
MRnumber = "83b:47023",
MRreviewer = "P. M. Anselone",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dutton:1982:FTC,
author = "John A. Dutton",
title = "Fundamental theorems of climate theory---some proved,
some conjectured",
journal = j-SIAM-REVIEW,
volume = "24",
number = "1",
pages = "1--33",
month = jan,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A35 (58F12 86A10)",
MRnumber = "83h:86009",
MRreviewer = "Claude Demuth",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Nguyen:1982:RUL,
author = "V. V. Nguyen and E. F. Wood",
title = "Review and unification of linear identifiability
concepts",
journal = j-SIAM-REVIEW,
volume = "24",
number = "1",
pages = "34--51",
month = jan,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93B30 (93E12)",
MRnumber = "82m:93027",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Anishev:1982:RPN,
author = "P. A. Anishev",
title = "Reduction of {Petri} nets. ({Russian})",
journal = j-SIAM-REVIEW,
volume = "24",
number = "1",
pages = "41--54, 111",
month = jan,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68D90",
MRnumber = "83h:68086",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kracht:1982:IOF,
author = "M. Kracht and E. Kreyszig and G. Schr{\"o}der",
title = "Integral operators in the function theoretic method
for partial differential equations",
journal = j-SIAM-REVIEW,
volume = "24",
number = "1",
pages = "52--71",
month = jan,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35C15 (30G30 44A20 45P05)",
MRnumber = "83e:35025",
MRreviewer = "Bernd Goldschmidt",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Trefethen:1982:GVF,
author = "Lloyd N. Trefethen",
title = "Group velocity in finite difference schemes",
journal = j-SIAM-REVIEW,
volume = "24",
number = "2",
pages = "113--136",
month = apr,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65P05 (76-08)",
MRnumber = "83b:65141",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Monegato:1982:SPR,
author = "Giovanni Monegato",
title = "{Stieltjes} polynomials and related quadrature rules",
journal = j-SIAM-REVIEW,
volume = "24",
number = "2",
pages = "137--158",
month = apr,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65D32",
MRnumber = "83d:65067",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Terras:1982:NEH,
author = "Audrey Terras",
title = "Non-{Euclidean} harmonic analysis",
journal = j-SIAM-REVIEW,
volume = "24",
number = "2",
pages = "159--193",
month = apr,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "10Dxx (22E45)",
MRnumber = "84b:10034",
MRreviewer = "J. Szmidt",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fredricksen:1982:SFL,
author = "Harold Fredricksen",
title = "A survey of full length nonlinear shift register cycle
algorithms",
journal = j-SIAM-REVIEW,
volume = "24",
number = "2",
pages = "195--221",
month = apr,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68C05 (05A05 10L99 94B60),",
bibdate = "Mon Jan 27 11:01:31 1997",
acknowledgement = ack-nhfb,
}
@Article{Tien:1982:MSA,
author = "James M. Tien and Angelica Kamiyama",
title = "On manpower scheduling algorithms",
journal = j-SIAM-REVIEW,
volume = "24",
number = "3",
pages = "275--287",
month = jul,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90B35",
MRnumber = "83i:90083",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mangel:1982:AMN,
author = "Marc Mangel",
title = "Applied mathematicians and naval operators",
journal = j-SIAM-REVIEW,
volume = "24",
number = "3",
pages = "289--300",
month = jul,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "00A69 (01A70)",
MRnumber = "83i:00027",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Casti:1982:RDF,
author = "John L. Casti",
title = "Recent developments and future perspectives in
nonlinear system theory",
journal = j-SIAM-REVIEW,
volume = "24",
number = "3",
pages = "301--331",
month = jul,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93C10 (58F40)",
MRnumber = "84h:93035",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{McGarvey:1982:AGS,
author = "James F. McGarvey",
title = "Approximating the general solution of a differential
equation",
journal = j-SIAM-REVIEW,
volume = "24",
number = "3",
pages = "333--337",
month = jul,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34A25",
MRnumber = "83i:34012",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Borwein:1982:SII,
author = "J. M. Borwein and G. P. H. Styan and H. Wolkowicz",
title = "Some inequalities involving statistical expressions",
journal = j-SIAM-REVIEW,
volume = "24",
number = "3",
pages = "340--342",
month = jul,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 11:01:06 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib",
}
@Article{Lebovitz:1982:PEP,
author = "N. R. Lebovitz",
title = "Perturbation expansions on perturbed domains",
journal = j-SIAM-REVIEW,
volume = "24",
number = "4",
pages = "381--400",
month = oct,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35C99 (35B99)",
MRnumber = "84d:35028",
MRreviewer = "F. Ursell",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Keller:1982:TDQ,
author = "Joseph B. Keller",
title = "Time-dependent queues",
journal = j-SIAM-REVIEW,
volume = "24",
number = "4",
pages = "401--412",
month = oct,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60K25 (90B22)",
MRnumber = "85c:60160",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Geveci:1982:SSD,
author = "T. Geveci",
title = "The significance of the stability of difference
schemes in different $l^{p}$-spaces",
journal = j-SIAM-REVIEW,
volume = "24",
number = "4",
pages = "413--426",
month = oct,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65M10",
MRnumber = "84b:65089",
MRreviewer = "G. W. Hedstrom",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Watkins:1982:UQA,
author = "David S. Watkins",
title = "Understanding the ${\rm QR}$ algorithm",
journal = j-SIAM-REVIEW,
volume = "24",
number = "4",
pages = "427--440",
month = oct,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F15 (15A18 65F50)",
MRnumber = "84g:65047",
MRreviewer = "G. W. Stewart",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lions:1982:EPS,
author = "P.-L. Lions",
title = "On the existence of positive solutions of semilinear
elliptic equations",
journal = j-SIAM-REVIEW,
volume = "24",
number = "4",
pages = "441--467",
month = oct,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35J65 (58E07)",
MRnumber = "84a:35093",
MRreviewer = "Kenneth J. Brown",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Pearson:1982:OMS,
author = "Carl E. Pearson",
title = "Optimal mapping from a sphere onto a plane",
journal = j-SIAM-REVIEW,
volume = "24",
number = "4",
pages = "469--475",
month = oct,
year = "1982",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A30 (51K99 65D10)",
MRnumber = "83k:86008",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Birkhoff:1983:NFD,
author = "Garrett Birkhoff",
title = "Numerical fluid dynamics",
journal = j-SIAM-REVIEW,
volume = "25",
number = "1",
pages = "1--34",
month = jan,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76-08 (01A60 76-03)",
MRnumber = "84f:76004",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Harten:1983:UDG,
author = "Amiram Harten and Peter D. Lax and Bram van Leer",
title = "On upstream differencing and {Godunov}-type schemes
for hyperbolic conservation laws",
journal = j-SIAM-REVIEW,
volume = "25",
number = "1",
pages = "35--61",
month = jan,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65M05 (35L65)",
MRnumber = "85h:65188",
MRreviewer = "P. M. Dew",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lyness:1983:WUA,
author = "J. N. Lyness",
title = "When not to use an automatic quadrature routine",
journal = j-SIAM-REVIEW,
volume = "25",
number = "1",
pages = "63--87",
month = jan,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65D30 (65-04)",
MRnumber = "84f:65018",
MRreviewer = "Menachem Dishon",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ponstein:1983:ASM,
author = "J. Ponstein",
title = "Applying some modern developments to choosing your own
{Lagrange} multipliers",
journal = j-SIAM-REVIEW,
volume = "25",
number = "2",
pages = "183--199",
month = apr,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C30",
MRnumber = "84h:90066",
MRreviewer = "Bruce D. Craven",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kruskal:1983:OSC,
author = "Joseph B. Kruskal",
title = "An overview of sequence comparison: time warps, string
edits, and macromolecules",
journal = j-SIAM-REVIEW,
volume = "25",
number = "2",
pages = "201--237",
month = apr,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68E05 (68G10 92A05)",
MRnumber = "84g:68048",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gravesen:1983:CTC,
author = "Jens Gravesen",
title = "Catastrophe theory and caustics",
journal = j-SIAM-REVIEW,
volume = "25",
number = "2",
pages = "239--247",
month = apr,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58C28 (58-01 78A05)",
MRnumber = "84k:58044",
MRreviewer = "James Callahan",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Klein:1983:CSD,
author = "Morton Klein",
title = "Complementary slackness and dynamic programming",
journal = j-SIAM-REVIEW,
volume = "25",
number = "2",
pages = "249--253",
month = apr,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C39 (90C05)",
MRnumber = "84f:90104",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Drager:1983:STR,
author = "Lance D. Drager",
title = "A simple theorem on {Riemann} integration, based on
classroom experience",
journal = j-SIAM-REVIEW,
volume = "25",
number = "2",
pages = "255--259",
month = apr,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "26-01",
MRnumber = "85a:26001",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Coffman:1983:ICM,
author = "E. G. {Coffman, Jr.}",
title = "An Introduction to Combinatorial Models of Dynamic
Storage Allocation",
journal = j-SIAM-REVIEW,
volume = "25",
number = "3",
pages = "311--325",
month = jul,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68N25",
MRnumber = "85a:68019",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Three principal sources of inefficient use of storage
are identified: partition fragmentation,
checkerboarding and internal fragmentation. In
connection with these types of fragmentation, a number
of algorithm and storage design questions arise.
Analyses of combinatorial models of these problems are
reviewed. The major result is the characterization of
approximation algorithms in terms of asymptotic bounds
on their performance relative to optimization rules.
The presentation is distinguished by its attempt to
bring together for the first time many disparate
research efforts in dynamic storage allocation,
classifying them by the types of fragmentation
studied.",
acknowledgement = ack-nhfb,
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer operating systems; dynamic storage
allocation; mathematical techniques --- Combinatorial
Mathematics",
}
@Article{Rogers:1983:LRP,
author = "Joseph W. Rogers",
title = "Locations of Roots of Polynomials",
journal = j-SIAM-REVIEW,
volume = "25",
number = "3",
pages = "327--342",
month = jul,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "30C15 (12D10 30B70 93B55 93D05)",
MRnumber = "85b:30008",
MRreviewer = "Doru {\c{S}}tef{\u{a}}nescu",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The author considers the location of roots of
polynomials with respect to the principal coordinate
axes (referred to generally as the Routh-Hurwitz
criteria and the Sturm criteria). He provides a new
proof of the results established by H. S. Wall and E.
Frank which relate the number of positive and negative
coefficients in a continued fraction to the number of
roots of a polynomial in the left half plane and right
half plane. He extends these results to locate the
number of real roots of real polynomials on the
positive or negative real axis. Some miscellaneous
criteria are also provided so that selected parts of a
polynomial may be analyzed in order to determine the
number of roots in a half plane.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "SIAM Rev",
keywords = "mathematical techniques",
}
@Article{Burton:1983:SSV,
author = "T. A. Burton",
title = "Structure of solutions of {Volterra} equations",
journal = j-SIAM-REVIEW,
volume = "25",
number = "3",
pages = "343--364",
month = jul,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "45D05 (45J05)",
MRnumber = "84i:45001",
MRreviewer = "Gustaf Gripenberg",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "An elementary introduction to linear Volterra integral
and integrodifferential equations is presented. It is
demonstrated that the theory of existence, uniqueness,
dimensionality of the solution space, and the variation
of parameters formula are virtually indistinguishable
from the corresponding elementary theory of ordinary
differential equations. A review of some current
problems is also included.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "SIAM Rev",
keywords = "mathematical techniques; Volterra equations",
}
@Article{Ypma:1983:FMZ,
author = "T. J. Ypma",
title = "Finding a multiple zero by transformations and
{Newton}-like methods",
journal = j-SIAM-REVIEW,
volume = "25",
number = "3",
pages = "365--378",
month = jul,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H05 (65B99)",
MRnumber = "85a:65078",
MRreviewer = "E. R. Hansen",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Many methods for finding a multiple zero x* of a
function f are based on transforming f to a function T
for which x* is a simple zero. A general transformation
which includes as special cases three transformations
given in the literature is presented and analyzed.
Newton-like methods for solving T(x) equals 0 are
examined, and comparative computational tests are
performed. The class of methods considered is shown to
be of limited practical value.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "SIAM Rev",
keywords = "mathematical techniques; mathematical
transformations",
}
@Article{Slepian:1983:SCF,
author = "David Slepian",
title = "Some comments on {Fourier} analysis, uncertainty and
modeling",
journal = j-SIAM-REVIEW,
volume = "25",
number = "3",
pages = "379--393",
month = jul,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "94A11 (42A38 94A12)",
MRnumber = "84i:94016",
MRreviewer = "H. Vincent Poor",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Investigation of the problem of simultaneously
concentrating a function and its Fourier transform has
led to some interesting special functions that have
widespread applications in engineering. They provide a
means of proving a rigorous version of an engineering
folk theorem called the 2WT-Theorem. Many
generalizations of these ideas seem to possess a
similar elegant mathematical structure. A brief
descriptive review is given of these developments.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "SIAM Rev",
keywords = "mathematical transformations",
}
@Article{Lewis:1983:ATN,
author = "Stephen D. Lewis",
title = "Adjustment time in the neoclassical growth model: an
optimal control solution",
journal = j-SIAM-REVIEW,
volume = "25",
number = "3",
pages = "395--400",
month = jul,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90A16",
MRnumber = "84m:90032",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Asfar:1983:AMM,
author = "O. R. Asfar and A. H. Nayfeh",
title = "The Application of the Method of Multiple Scales to
Wave Propagation in Periodic Structures",
journal = j-SIAM-REVIEW,
volume = "25",
number = "4",
pages = "455--480",
month = oct,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "78A50 (76Q05 78A40)",
MRnumber = "87b:78038",
MRreviewer = "E. Meister",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A brief review of recent advances in the field of wave
propagation in periodic structures is made. The review
focuses on the application of the method of multiple
scales to a class of problems in closed-and
open-acoustic and electromagnetic waveguides. The
examples considered are concerned with simple periodic
perturbations with one example on multiperiodic
perturbations. The treatment is confined to first-order
perturbation theory in order to simplify the algebra.",
acknowledgement = ack-nhfb,
classification = "711; 751",
journalabr = "SIAM Rev",
keywords = "acoustic waves; electromagnetic waves --- Propagation
in Guides; method of multiple scales; periodic
structures",
}
@Article{Malliaris:1983:IOC,
author = "A. G. Malliaris",
title = "It{\^o}'s calculus in financial decision making",
journal = j-SIAM-REVIEW,
volume = "25",
number = "4",
pages = "481--496",
month = oct,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90A09 (60H05)",
MRnumber = "87c:90023",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper presents an introduction to Ito's
stochastic calculus by stating some basic definitions,
theorems and mathematical examples. Then the use of
Ito's calculus in modern financial theory is
illustrated by expositing a few representative
applications. The main observation is that Ito's
calculus which was developed from purely mathematical
questions originating in N. Wiener's work has found
unexpectedly important applicability in the theory of
finance from the perspective of continuous time.",
acknowledgement = ack-nhfb,
classification = "901; 922",
journalabr = "SIAM Rev",
keywords = "decision theory and analysis; economics; financial
decision making; ito's calculus",
}
@Article{Bube:1983:ODI,
author = "Kenneth P. Bube and Robert Burridge",
title = "The one-dimensional inverse problem of reflection
seismology",
journal = j-SIAM-REVIEW,
volume = "25",
number = "4",
pages = "497--559",
month = oct,
year = "1983",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A15 (73D50)",
MRnumber = "87c:86005",
MRreviewer = "R. S. Anderssen",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "An impulsive normal traction is applied uniformly over
the surface of a perfectly stratified plane layered
earth. The ensuing particle velocity at the surface is
assumed to be measured. The problem of calculating the
subsurface characteristic impedance from knowledge of
the input pulse and the measured data is the
one-dimensional inverse problem of reflection
seismology. The problem is set up mathematically as an
inverse problem for a first order 2 multiplied by 2
hyperbolic system. The role of propagation of
singularities is explained and the relation between the
solution of the inverse problem and the Cholesky
factorization of certain matrices constructed from the
data is elaborated for both the continuum problem and
the related discrete problem. It is found that
recursive numerical techniques such as the Levinson
algorithm and certain other fast methods for Cholesky
factorization are intimately related to explicit
finite-difference schemes for solving hyperbolic
systems. The order of approximation between the
solutions of the discrete schemes and of the
differential equations is discussed. Finally the
favored discrete downward continuation (dc) algorithm
is demonstrated by means of numerical examples.",
acknowledgement = ack-nhfb,
classification = "484",
journalabr = "SIAM Rev",
keywords = "one-dimensional inverse problem; reflection
seismology; seismology",
}
@Article{Fourer:1984:SMS,
author = "Robert Fourer",
title = "Staircase Matrices and Systems",
journal = j-SIAM-REVIEW,
volume = "26",
number = "1",
pages = "1--70",
month = jan,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F05",
MRnumber = "85h:65067",
MRreviewer = "Zahari Zlatev",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The numerous properties of staircase systems and of
the staircase matrices that comprise their coefficients
are surveyed. Particular attention is given to reduced
and sparse staircase forms and to the varieties of
Gaussian elimination for solving staircase systems.",
acknowledgement = ack-nhfb,
classification = "921",
journalabr = "SIAM Rev",
keywords = "linear equations; mathematical techniques; staircase
matrices; staircase systems",
}
@Article{Gudder:1984:ECM,
author = "Stanley P. Gudder",
title = "An extension of classical measure theory",
journal = j-SIAM-REVIEW,
volume = "26",
number = "1",
pages = "71--89",
month = jan,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "81B10 (03G12 28A99)",
MRnumber = "85d:81014",
MRreviewer = "R. Piziak",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dongarra:1984:ILA,
author = "J. J. Dongarra and F. G. Gustavson and A. Karp",
title = "Implementing Linear Algebra Algorithms for Dense
Matrices on a Vector Pipeline Machine",
journal = j-SIAM-REVIEW,
volume = "26",
number = "1",
pages = "91--112",
month = jan,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (65F30)",
MRnumber = "85c:65032",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The authors examine common implementations of linear
algebra algorithms, such as matrix-vector
multiplication, matrix-matrix multiplication and the
solution of linear equations. The different versions
are examined for efficiency on a computer architecture
which uses vector processing and has pipelined
instruction execution. By using the advanced
architectural features of such machines, one can
usually achieve maximum performance, and tremendous
improvements in terms of execution speed can be seen
over conventional computers.",
acknowledgement = ack-nhfb,
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; dense matrices;
linear algebra algorithms; mathematical programming;
vector pipeline machine",
}
@Article{Mazaika:1984:LSU,
author = "Paul K. Mazaika",
title = "A lattice summation using the mean value theorem for
harmonic functions",
journal = j-SIAM-REVIEW,
volume = "26",
number = "1",
pages = "113--115",
month = jan,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "82A67 (11L99 40A30 65B99)",
MRnumber = "85g:82103",
MRreviewer = "I. John Zucker",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kuttler:1984:ELT,
author = "J. R. Kuttler and V. G. Sigillito",
title = "Eigenvalues of the {Laplacian} in Two Dimensions",
journal = j-SIAM-REVIEW,
volume = "26",
number = "2",
pages = "163--193",
month = apr,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65N25 (35J05 35P05 76Q05 78A50)",
MRnumber = "85k:65086",
MRreviewer = "P. Keast",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The eigenvalue problem for the Laplace operator in two
dimensions is classical in mathematics and physics.
Nevertheless, computational methods for estimating the
eigenvalues are still of much current interest,
particularly in applications to acoustic and
electromagnetic waveguides. Although our primary
interest is with the computational methods, there are a
number of theoretical results on the behavior of the
eigenvalues and eigenfunctions that are useful for
understanding the methods and, in addition, are of
interest in themselves. These results are discussed
first and then the various computational methods that
have been used to estimate the eigenvalues are reviewed
with particular emphasis on methods that give error
bounds. Some of the more powerful techniques available
are illustrated by applying them to a model problem.",
acknowledgement = ack-nhfb,
affiliationaddress = "Johns Hopkins Univ Applied Physics Lab, Laurel,
MD, USA",
classification = "711; 714; 723; 921",
journalabr = "SIAM Rev",
keywords = "computer software; conformal transformations;
Eigenvalues and Eigenfunctions; Laplacian in two
dimensions; mathematical techniques; mathematical
transformations; structural analysis; waveguides",
}
@Article{Redner:1984:MDM,
author = "Richard A. Redner and Homer F. Walker",
title = "Mixture densities, maximum likelihood and the {EM}
algorithm",
journal = j-SIAM-REVIEW,
volume = "26",
number = "2",
pages = "195--239",
month = apr,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62F10 (62-04)",
MRnumber = "85j:62027",
MRreviewer = "Barry C. Arnold",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The problem of estimating the parameters which
determine a mixture density has been the subject of a
large, diverse body of literature spanning nearly
ninety years. During the last two decades, the method
of maximum likelihood has become the most widely
followed approach to this problem, thanks primarily to
the advent of high speed electronic computers. Here, we
first offer a brief survey of the literature directed
toward this problem and review maximum-likelihood
estimation for it. We then turn to the subject of
ultimate interest, which is a particular iterative
procedure for numerically approximating
maximum-likelihood estimates for mixture density
problems. This procedure, known as the EM algorithm, is
a specialization to the mixture density context of a
general algorithm of the same name used to approximate
maximum-likelihood estimates for incomplete data
problems. We discuss the formulation and theoretical
and practical properties of the EM algorithm for
mixture densities, focussing in particular on mixture
of densities from exponential families.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Tulsa, Tulsa, OK, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Algorithms; em algorithm; exponential families;
incomplete data; mathematical techniques; maximum
likelihood; mixture densities; probability ---
Estimation",
}
@Article{Ellerman:1984:ATM,
author = "David P. Ellerman",
title = "Arbitrage Theory: a Mathematical Introduction",
journal = j-SIAM-REVIEW,
volume = "26",
number = "2",
pages = "241--261",
month = apr,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90A11 (94C05)",
MRnumber = "85g:90024",
MRreviewer = "Wolfgang Mayer",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper is an introduction to the mathematical
theory of arbitrage. Examples of the graph-theoretic
mathematics of arbitrage are given in economics,
electrical circuit theory (Kirchhoff's voltage law),
engineering, social group theory, and thermodynamics.
The arbitrage framework is used to develop an economic
interpretation for cofactors, determinants, Cramer's
rule, and inverse matrices. This is applied to
subjective probability theory and classical
optimization theory. Arbitrage enforces the laws of
probability on the market for contingent claims.
Markets are mathematically associated with any
classical optimization problem so that the first order
necessary conditions are equivalent to the markets
being arbitrage-free. The arbitrage-free market prices
are the Lagrange multipliers.",
acknowledgement = ack-nhfb,
classification = "641; 703; 911; 921; 922",
journalabr = "SIAM Rev",
keywords = "arbitrage theory; economics; electric networks; flows
and tensions on graphs; Graph Theory; Kirchhoff's
voltage law (KVL); Lagrange multipliers; market graphs;
mathematical techniques; optimization; probability;
thermodynamics",
}
@Article{Mathis:1984:ELM,
author = "Frank H. Mathis and Danny W. Turner",
title = "Estimating the length of material wrapped around a
cylindrical core",
journal = j-SIAM-REVIEW,
volume = "26",
number = "2",
pages = "263--266",
month = apr,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "51M25",
MRnumber = "85j:51023",
MRreviewer = "A. Florian",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Colton:1984:ISP,
author = "David Colton",
title = "The Inverse Scattering Problem for Time-Harmonic
Acoustic Waves",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "323--350",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76Q05 (35J05 35R30)",
MRnumber = "85m:76051",
MRreviewer = "R. F. Millar",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The inverse scattering problem we are considering in
this paper is to determine the shape of a sound-soft,
bounded, connected obstacle from a knowledge of the
time-harmonic incident wave with frequency in the
resonance region and the far field pattern of the
scattered wave. After some introductory remarks, we
begin by describing the method of integral equations
and the null-field method for solving the direct
scattering problem. This enables us to define an
operator TAU mapping the boundary of the scattering
obstacle and the incident field onto the far field
pattern. The inverse scattering problem is to invert
this operator. In order to do this, we first must
examine the range of +95,i. e. to characterize the
class of far field patterns, and to establish the
existence of TAU ** minus **1 on the range of +95,i. e.
to show the uniqueness of the solution to the inverse
scattering problem. This analysis shows that for a
given measured far field pattern, in general no
solution exists to the inverse scattering problem, and
if a solution does exist, it does not depend
continuously on the measured data, i. e. the problem is
improperly posed. We consider a simple model problem
that focuses on the nonlinear character of the inverse
scattering problem and, motivated by our study of a
linearized model, reformulate the inverse scattering
problem as a problem in constrained optimization. We
conclude by considering the numerical solution of this
nonlinear optimization problem.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Delaware, Newark, DE, USA",
classification = "723; 751; 921; 922",
journalabr = "SIAM Rev",
keywords = "acoustic waves; asymptotic analysis; connected
obstacle; direct scattering problem; entire functions
of exponential type; inverse scattering problem;
mathematical models; mathematical techniques ---
Approximation Theory; optimization; Scattering",
}
@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 (print), 1095-7200 (electronic)",
MRclass = "65D20 (26A09)",
MRnumber = "86d:65029",
MRreviewer = "S. Conde",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
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,
affiliationaddress = "Dalhousie Univ, Halifax, NS, Can",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "arithmetic-geometric mean; calculation of pi;
computational methods; elliptic functions; Iterative
Methods; mathematical techniques; numerical
mathematics",
}
@Article{Todd:1984:QNU,
author = "Michael J. Todd",
title = "Quasi-{Newton} Updates in Abstract Vector Spaces",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "367--377",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H10 (65J15 90C30),62H05 (60E15)",
MRnumber = "89m:62050",
MRreviewer = "Richard L. Dykstra",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We derive least-change updates of linear mappings that
approximate derivatives of functions defined on
abstract vector spaces; these correspond to well-known
matrix updates. Our approach has the value of
demonstrating the minimal assumptions necessary to
derive particular updates, and hence their robustness.
In addition, the choice of one or other update is
indicated by the presence of natural inner or scalar
products in the vector spaces. All spaces considered
are finite-dimensional real vector spaces.",
acknowledgement = ack-nhfb,
affiliationaddress = "Cornell Univ, Ithaca, NY, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "least-change updates; Linear Algebra; linear algebra;
mathematical techniques; optimization; quasi-Newton
method; vector spaces",
}
@Article{Watkins:1984:IF,
author = "David S. Watkins",
title = "Isospectral Flows",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "379--391",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58F07 (15A23 65F99)",
MRnumber = "86d:58054",
MRreviewer = "Francesco Calogero",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The Toda flow is a dynamical system whose dependent
variables may be viewed as the entries of a symmetric
tridiagonal matrix. The spectrum of the matrix is
invariant in time and, as t yields infinity, the
off-diagonal entries tend to zero, exposing the
eigenvalues on the main diagonal. Recently a wave of
interest in the Toda and related isospectral flows was
sparked in the numerical analysis community by the
suggestion that to integrate the Toda flow numerically
might be a cost effective way to calculate the
eigenvalues of large symmetric tridiagonal matrices. A
second source of interest was the recently discovered
connection between the Toda flow and the QR algorithm.
The present paper has two principal aims. The first is
to point out that the Toda and related flows are
intimately connected with the power method. This
connection clarifies completely the convergence
properties of the flows. The relationship of the Toda
flow to both the QR algorithm and the power method is
based on a connection with the QR matrix factorization.
The second aim of this paper is to introduce and
discuss families of isospectral flows associated with
two other well-known matrix factorizations, the LU
factorization and the Cholesky factorization.",
acknowledgement = ack-nhfb,
affiliationaddress = "Washington State Univ, Pullman, WA, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Cholesky flows; isospectral flows; mathematical
models; mathematical techniques; matrix factorization;
Numerical Analysis; power method; Toda flow",
}
@Article{Pan:1984:HCW,
author = "Victor Pan",
title = "How Can We Speed up Matrix Multiplication?",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "393--415",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F30 (68Q25)",
MRnumber = "85j:65014",
MRreviewer = "D. Bini",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Due to the new algebraic methods of algorithm design,
recently it became possible to perform multiplication
and inversion of N multiplied by N matrices using
O(N**2**. **4**9**6) rather than O(N**3) arithmetical
operations. Consequently, algorithms for several other
computational problems of linear algebra and
combinatorics have been accelerated. The major ideas
and techniques that have led to that progress are
surveyed.",
acknowledgement = ack-nhfb,
affiliationaddress = "State Univ of New York at Albany, Albany, NY,
USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "bilinear algorithms; boolean matrix multiplication;
computer programming --- Algorithms; Linear Algebra;
mathematical techniques; matrix multiplication;
recursive algorithms",
}
@Article{Kleine:1984:NAS,
author = "H. Arthur De Kleine",
title = "A note on the asymptotic stability of periodic
solutions of autonomous differential equations",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "417--421",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34D20 (34C25)",
MRnumber = "85k:34115",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Nievergelt:1984:NRO,
author = "Yves Nievergelt",
title = "Navigation on {Riemannian} oceans",
journal = j-SIAM-REVIEW,
volume = "26",
number = "3",
pages = "423--427",
month = jul,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A30",
MRnumber = "750 459",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Jaffe:1984:OUR,
author = "Arthur Jaffe",
title = "Ordering the Universe: the Role of Mathematics",
journal = j-SIAM-REVIEW,
volume = "26",
number = "4",
pages = "473--500",
month = oct,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "00A05 (00A25 01A05)",
MRnumber = "86i:00001a",
MRreviewer = "S. D. Chatterji",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In the twentieth century, mathematics, an ancient art,
has burgeoned in scope and in diversity and has
deepened in its complexity and abstraction. The paper
reviews the computational methods that evolved with the
advent of computers, mathematical methods used in
physics, communication, and engineering.",
acknowledgement = ack-nhfb,
affiliationaddress = "Harvard Univ, Cambridge, MA, USA",
classification = "723; 921; 922; 931",
journalabr = "SIAM Rev",
keywords = "Applications; bifurcation theory; complex function
theory; control theory; information theory; integral
transforms; mathematical models; mathematical
programming; mathematical statistics; mathematical
techniques; physics",
}
@Article{Kokotovic:1984:ASP,
author = "Petar V. Kokotovic",
title = "Applications of Singular Perturbation Techniques to
Control Problems",
journal = j-SIAM-REVIEW,
volume = "26",
number = "4",
pages = "501--550",
month = oct,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93C15 (34E15)",
MRnumber = "86h:93036",
MRreviewer = "Tamer Ba{\c{s}}ar",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper discusses typical applications of singular
perturbation techniques to control problems in the last
fifteen years. The first three sections are devoted to
the standard model and its time-scale, stability and
controllability properties. The next two sections deal
with linear-quadratic optimal control and one with
cheap (near-singular) control. Then the composite
control and trajectory optimization are considered in
two sections, and stochastic control in one section.
The last section returns to the problem of modeling,
this time in the context of large scale systems.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Illinois, Urbana, IL, USA",
classification = "723; 731; 921; 922",
journalabr = "SIAM Rev",
keywords = "bibliography; control systems; mathematical models;
mathematical techniques; mathematical transformations
--- Laplace Transforms; nonlinear trajectory
optimization; optimization; Perturbation Techniques;
stochastic filtering; system stability",
}
@Article{Bonomi:1984:CTS,
author = "Ernesto Bonomi and Jean-Luc Lutton",
title = "The {$N$}-City Travelling Salesman Problem:
Statistical Mechanics and the {Metropolis} Algorithm",
journal = j-SIAM-REVIEW,
volume = "26",
number = "4",
pages = "551--568",
month = oct,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90B15 (82A05 90B40)",
MRnumber = "86e:90041",
MRreviewer = "Anthony Vannelli",
bibdate = "Thu Apr 09 11:07:34 1998",
bibsource = "Compendex database",
abstract = "In any N-city travelling salesman problem there are
(N-1)/2 possible tours. We use the Metropolis algorithm
to generate a sequence of such tours. This sequence may
be viewed as the random evolution of a physical system
in contact with a heat-bath. As the temperature is
lowered, the tours generated approach the optimal tour.
It appears that for large N one arrives within a few
percent of the optimal solution in better than
quadratic time.",
acknowledgement = ack-nhfb,
affiliationaddress = "Ecole Polytechnique Federale de Lausanne,
Lausanne, Switz",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "combinational analysis; mathematical models;
mathematical programming, linear; metropolis algorithm;
operations research; simplex method; statistical
mechanics; statistical methods; travelling salesman
problem",
}
@Article{Verma:1984:HRM,
author = "Ghasi R. Verma and Joseph B. Keller",
title = "Hanging rope of minimum elongation",
journal = j-SIAM-REVIEW,
volume = "26",
number = "4",
pages = "569--571",
month = oct,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "73K05 (73K40)",
MRnumber = "85m:73032",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Newman:1984:RWN,
author = "David Newman",
title = "In a random walk the number of {``unique
experiences''} is two on the average",
journal = j-SIAM-REVIEW,
volume = "26",
number = "4",
pages = "573--574",
month = oct,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60J15",
MRnumber = "85j:60132",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Chiappetta:1984:TDW,
author = "L. M. Chiappetta and D. R. Sobel",
title = "The temperature distribution within a hemisphere
exposed to a hot gas stream",
journal = j-SIAM-REVIEW,
volume = "26",
number = "4",
pages = "575--577",
month = oct,
year = "1984",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "80A20 (33A45)",
MRnumber = "85k:80004",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mattheij:1985:DSA,
author = "R. M. M. Mattheij",
title = "Decoupling and Stability of Algorithms for Boundary
Value Problems",
journal = j-SIAM-REVIEW,
volume = "27",
number = "1",
pages = "1--44",
month = mar,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L10 (34A50)",
MRnumber = "87h:65128",
MRreviewer = "G. D. Byrne",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The ordinary differential equations occurring in
linear boundary value problems characteristically have
both stable and unstable solution modes. Therefore a
stable numerical algorithm should avoid both forward
and backward integration of solutions on large
intervals. It is shown that most methods (like multiple
shooting, collocation, invariant imbedding and
difference methods) derive their stability from the
fact that they all decouple the continuous or the
discrete problem sooner or later (for instance when
solving a linear system). This decoupling is related to
the dichotomy of the ordinary differential equations.
In fact it turns out that the inherent initial value
instability is an important prerequisite for a stable
utilization of the decoupled representations from which
the solutions are computed. How this stability is
related to the use of the boundary conditions is also
investigated.",
acknowledgement = ack-nhfb,
affiliationaddress = "Katholieke Univ, Mathematisch Inst, Nijmegen,
Neth",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "algorithm stability; Boundary Value Problems; computer
programming --- Algorithms; decoupling; direct methods;
mathematical techniques; singular perturbations",
}
@Article{Levin:1985:PGS,
author = "Simon A. Levin and Lee A. Segel",
title = "Pattern Generation in Space and Aspect",
journal = j-SIAM-REVIEW,
volume = "27",
number = "1",
pages = "45--67",
month = mar,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A17 (35K57)",
MRnumber = "86i:92046",
MRreviewer = "Roger Lui",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A survey is presented of theories for the generation
and maintenance of spatial pattern in
reaction-diffusion equations and their generalizations.
Applications are selected from the biological sciences
and physical chemistry. Special emphasis is placed on
nonlocal interaction, as manifested by the inclusion of
terms involving higher derivatives or integrals. It is
stressed that traditional ideas of spatial pattern
generation can usefully be extended to the study of
pattern in general descriptive ('aspect') variables,
particularly in understanding ecological diversity and
heterogeneity.",
acknowledgement = ack-nhfb,
affiliationaddress = "Cornell Univ, Ecosystems Research Cent, Ithaca,
NY, USA",
classification = "802; 901; 921; 931",
journalabr = "SIAM Rev",
keywords = "chemical reactions --- Theory; Differential Equations;
diffusion --- Theory; ecology; mathematical techniques;
pattern formation; pattern generation;
reaction-diffusion equations",
}
@Article{Morley:1985:SPW,
author = "Tom Morley",
title = "A simple proof that the world is three-dimensional",
journal = j-SIAM-REVIEW,
volume = "27",
number = "1",
pages = "69--71",
month = mar,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L05 (78A40)",
MRnumber = "86f:35111",
bibdate = "Fri Oct 27 14:53:38 2000",
note = "See errata \cite{Morley:1986:ESP}.",
acknowledgement = ack-nhfb,
}
@Article{Steutel:1985:PPB,
author = "F. W. Steutel",
title = "{Poisson} processes and a {Bessel} function integral",
journal = j-SIAM-REVIEW,
volume = "27",
number = "1",
pages = "73--77",
month = mar,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60G50 (33A40 60K05)",
MRnumber = "86m:60126",
MRreviewer = "Philip J. Feinsilver",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ortega:1985:SPD,
author = "James M. Ortega and Robert G. Voigt",
title = "Solution of Partial Differential Equations on Vector
and Parallel Computers",
journal = j-SIAM-REVIEW,
volume = "27",
number = "2",
pages = "149--240",
month = jun,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65W05 (65Fxx 65N20)",
MRnumber = "86j:65199",
MRreviewer = "L. Hageman",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We review the present status of numerical methods for
partial differential equations on vector and parallel
computers. A discussion of the relevant aspects of
these computers and a brief review of their development
is included, with particular attention paid to those
characteristics that influence algorithm selection.
Both direct and iterative methods are given for
elliptic equations as well as explicit and implicit
methods for initial-boundary value problems. The intent
is to point out attractive methods as well as areas
where this class of computer architecture cannot be
fully utilized because of either hardware restrictions
or the lack of adequate algorithms. A brief discussion
of application areas utilizing these computers is
included.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Virginia, Dep of Applied Mathematics,
Charlottesville, VA, USA",
classification = "722; 723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; computer systems,
digital --- Parallel Processing; Differential
Equations; mathematical techniques; numerical methods;
partial differential equations; vector computers",
}
@Article{Alexander:1985:NCG,
author = "J. C. Alexander",
title = "The numerics of computing geodetic ellipsoids",
journal = j-SIAM-REVIEW,
volume = "27",
number = "2",
pages = "241--247",
month = jun,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A30 (65D20)",
MRnumber = "86i:86010",
MRreviewer = "Z. N{\'a}den{\'i}k",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Disney:1985:QNS,
author = "Ralph L. Disney and Dieter K{\"o}nig",
title = "Queueing Networks: a Survey of Their Random
Processes",
journal = j-SIAM-REVIEW,
volume = "27",
number = "3",
pages = "335--403",
month = sep,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60K25 (90B15 90B22)",
MRnumber = "86j:60205",
MRreviewer = "Masakiyo Miyazawa",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We review three topics in queueing network theory:
queue length processes, sojourn times, and flow
processes. In the discussion of the queue length
processes we present results for the continuous-time
process and several embedded processes. Then we compare
continuous-time processes with embedded processes. In
considerable generality we present results for mean
sojourn times and discuss the distributions of sojourn
times. In the discussion of flow processes we present
results for various queueing systems.",
acknowledgement = ack-nhfb,
affiliation = "Virginia Polytechnic Inst \& State Univ, Dep of
Industrial Engineering \& Operations Research,
Blacksburg, VA, USA",
affiliationaddress = "Virginia Polytechnic Inst \& State Univ, Dep of
Industrial Engineering \& Operations Research,
Blacksburg, VA, USA",
classification = "922",
journalabr = "SIAM Rev",
keywords = "flow processes; probability; queue length processes;
queueing networks; Queueing Theory; sojourn times",
}
@Article{Papoulis:1985:LAW,
author = "A. Papoulis",
title = "{Levinson}'s Algorithm, {Wold}'s Decomposition, and
Spectral Estimation",
journal = j-SIAM-REVIEW,
volume = "27",
number = "3",
pages = "405--441",
month = sep,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60G25 (62M15 93E10)",
MRnumber = "86j:60102",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Levinson's algorithm is developed in the context of
mean-square estimation and is applied to a variety of
topics related to Wiener filtering and spectral
estimation. The study includes the innovations approach
to prediction theory, Wold's decomposition, lattice
filters, autoregressive processes, the method of
maximum entropy, and the general class of extrapolating
spectra.",
acknowledgement = ack-nhfb,
affiliation = "Polytechnic Inst of New York, Dep of Electrical
Engineering \& Computer Science, Farmingdale, NY, USA",
affiliationaddress = "Polytechnic Inst of New York, Dep of Electrical
Engineering \& Computer Science, Farmingdale, NY, USA",
classification = "731; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; Levinson's
algorithm; prediction theory; signal filtering and
prediction; spectral estimation; spectrum analysis;
stochastic processes; Wold's decomposition",
}
@Article{Keller:1985:SM,
author = "Joseph B. Keller",
title = "Semiclassical Mechanics",
journal = j-SIAM-REVIEW,
volume = "27",
number = "4",
pages = "485--504",
month = dec,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "81C15 (35J05 58G15 58G25)",
MRnumber = "87j:81052",
MRreviewer = "Martin C. Gutzwiller",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Classical mechanics and the quantum conditions of
Planck, Bohr, Sommerfeld, Wilson and Einstein are
presented. The virtues and defects of this `old quantum
theory' are pointed out. Its replacement by quantum
mechanics id is described, leading to the Schroedinger
equation for the wave function and the corresponding
energy eigenvalues. For separable systems, the
reduction of this equation to ordinary differential
equations and their asymptotic solution by the WKB
method are described, as well as the resulting
corrected quantum conditions with integer or
half-integer quantum numbers. For nonseparable systems,
the analogous asymptotic solution constructed by the
author is described, together with the corrected
quantum conditions to which it leads. Examples of the
use of these conditions in the solution of eigenvalue
problems are presented. It is explained that
difficulties arise in using this method when the
classical motion is stochastic or chaotic. Suggestions
for overcoming these difficulties are mentioned.",
acknowledgement = ack-nhfb,
affiliationaddress = "Stanford Univ, Dep of Mathematics, Stanford, CA,
USA",
classification = "921; 931",
keywords = "asymptotic analysis; eigenvalue problems; mathematical
techniques --- Differential Equations; quantum theory;
semiclassical mechanics; wkb method",
}
@Article{Deuflhard:1985:RPE,
author = "P. Deuflhard",
title = "Recent Progress in Extrapolation Methods for Ordinary
Differential Equations",
journal = j-SIAM-REVIEW,
volume = "27",
number = "4",
pages = "505--535",
month = dec,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L05",
MRnumber = "86m:65075",
MRreviewer = "L. F. Shampine",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The paper is intended to give a survey on the
state-of-the-art of extrapolation methods for initial
value problems in ordinary differential equation
systems. All basic discretizations, which are suited
for combination with extrapolation, are discussed and
evaluated. Both nonstiff and stiff integration are
covered. Extensive numerical comparisons lead to rules
of thumb, which may be an aid for the decision when to
use extrapolation methods (as opposed to RK methods or
multistep methods). The paper is understood to give a
new platform, from which further work in this field
might start. For this reason, several lines for
possibly promising further research are indicated.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ Heidelberg, Inst f{\"u}r Angewandte
Mathematik, Heidelberg, West Ger",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Differential Equations; extrapolation methods;
mathematical techniques; numerical integration;
numerical quadrature; ordinary differential equations;
stiff differential equations",
}
@Article{Griewank:1985:SNE,
author = "A. Griewank",
title = "On Solving Nonlinear Equations with Simple
Singularities or Nearly Singular Solutions",
journal = j-SIAM-REVIEW,
volume = "27",
number = "4",
pages = "537--563",
month = dec,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H10 (58C40 58E07)",
MRnumber = "87g:65071",
MRreviewer = "Ian Gladwell",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The paper begins with a review of the convergence
theory for Newton's method near simple and other
regular singularities, followed by a brief discussion
of the inherent difficulty of singular problems and the
effect of rounding errors on the achievable solution
accuracy. Then several ways to accelerate the slow
convergence of Newton's method are described in some
detail. These are: Richardson extrapolation,
overrelaxation, bordering by a singularity condition
and appending the usual linear model by a quadratic
term. The last two approaches require limited second
derivative information which can be obtained
analytically, by differencing or through secant
updating. Numerical comparisons reported in the final
sections lead to the conclusion that the collection of
the additional information pays off in terms of speed
and accuracy.",
acknowledgement = ack-nhfb,
affiliationaddress = "Southern Methodist Univ, Dep of Mathematics,
Dallas, TX, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "extrapolation; mathematical techniques; Newton's
method; Nonlinear Equations; quadratic models; regular
singularity; turning points",
}
@Article{King:1985:AFD,
author = "A. C. King and M. E. Mortimer",
title = "Approximating factorials: a difference equation
approach",
journal = j-SIAM-REVIEW,
volume = "27",
number = "4",
pages = "565--567",
month = dec,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "39A10",
MRnumber = "87a:39004",
MRreviewer = "R. N. Jain",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Blackmore:1985:SIM,
author = "Denis Blackmore and Lu Ting",
title = "Surface integral of its mean curvature vector",
journal = j-SIAM-REVIEW,
volume = "27",
number = "4",
pages = "569--572",
month = dec,
year = "1985",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "53A05",
MRnumber = "87c:53004",
MRreviewer = "Carlos E. Harle",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kulisch:1986:ADC,
author = "U. W. Kulisch and W. L. Miranker",
title = "The Arithmetic of the Digital Computer: a New
Approach",
journal = j-SIAM-REVIEW,
volume = "28",
number = "1",
pages = "1--40",
month = mar,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65G10 (68M15)",
MRnumber = "87e:65030",
MRreviewer = "G. Blanch",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A new approach to the arithmetic of the digital
computer is surveyed. The methodology for defining and
implementing floating-point arithmetic is described.
Shortcomings of elementary floating-point arithmetic
are revealed through sample problems. The development
of automatic computation with emphasis on the user
control of errors is reviewed. The limitations of
conventional rule-of-thumb procedures for error control
in scientific computation are demonstrated by means of
examples. Computer arithmetic is extended so that the
arithmetic operations in the linear spaces and their
interval correspondents which are most commonly used in
computation can be performed with maximum accuracy on
digital computers. A new fundamental computer
operation, the scalar product, is introduced to develop
this advanced computer arithmetic.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California, Computer Science Dep, Santa
Barbara, CA, USA",
classification = "723",
journalabr = "SIAM Rev",
keywords = "computer arithmetic; computer metatheory; computer
programming languages; computers, digital;
floating-point arithmetic",
}
@Article{Meyer:1986:CDS,
author = "K. R. Meyer",
title = "Counter-Examples in Dynamical Systems via Normal Form
Theory",
journal = j-SIAM-REVIEW,
volume = "28",
number = "1",
pages = "41--51",
month = mar,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34-02 (34C20 58F14)",
MRnumber = "87e:34002",
MRreviewer = "J. Kato",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The theory of normal forms is used to construct
examples and counter-examples in the theory of ordinary
differential equations. Selected examples from
linearization theory, stability theory, bifurcation
theory and theory of integrability are given.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Cincinnati, Dep of Mathematical
Sciences, Cincinnati, OH, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "bifurcation; Differential Equations; dynamical
systems; linearization, stability; mathematical
techniques; normal form theory; ordinary differential
equations",
}
@Article{McLaughlin:1986:AMR,
author = "Joyce R. McLaughlin",
title = "Analytical Methods for Recovering Coefficients in
Differential Equations from Spectral Data",
journal = j-SIAM-REVIEW,
volume = "28",
number = "1",
pages = "53--72",
month = mar,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34B25 (34A55)",
MRnumber = "87d:34034",
MRreviewer = "William B. Day",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In this paper analytical methods for recovering
coefficients from spectral data are discussed.
Properties of these methods are given and mathematical
models for which these methods might apply are
presented.",
acknowledgement = ack-nhfb,
affiliationaddress = "Rensselaer Polytechnic Inst, Dep of Mathematical
Sciences, Troy, NY, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "boundary value problems; Differential Equations;
inverse spectral theory; mathematical models;
mathematical techniques; spectrum analysis",
}
@Article{Bell:1986:OPB,
author = "Jonathan Bell",
title = "Optimizing pacemaker battery life",
journal = j-SIAM-REVIEW,
volume = "28",
number = "1",
pages = "73--77",
month = mar,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A09",
MRnumber = "87d:92018",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Nievergelt:1986:EIR,
author = "Yves Nievergelt",
title = "Elementary inversion of {Radon}'s transform",
journal = j-SIAM-REVIEW,
volume = "28",
number = "1",
pages = "79--84",
month = mar,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "44A15 (44A05 45L05 65R20 92A07)",
MRnumber = "87h:44009",
MRreviewer = "Eric Todd Quinto",
bibdate = "Fri Oct 27 15:25:19 2000",
acknowledgement = ack-nhfb,
}
@Article{Parter:1986:IME,
author = "Seymour V. Parter",
title = "Iterative Methods for Elliptic Problems and the
Discovery of `$q$'",
journal = j-SIAM-REVIEW,
volume = "28",
number = "2",
pages = "153--175",
month = jun,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65N20 (65F10)",
MRnumber = "87m:65166",
MRreviewer = "L. Hageman",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Consider a direct iterative method for solving the
linear system AU equals Y which arises from the
discretization of a boundary value problem involving an
elliptic partial differential operator L of order 2m.
Such iterative methods split A into a difference A
equals M minus N. The critical question is the behavior
of rho equals max ( vertical lambda vertical, lambda an
eigenvalue of M** minus **1N). In this report we
develop a theory for the determination of the
asymptotic behavior of rho as h approaches 0. This
theory depends on recognizing (h**PN) as a weak
approximation to a differential operator q of order
less than equivalent to m. Then, under `appropriate
conditions', rho approximately equals 1 minus LAMBDA
//0h**P where LAMBDA //0 is the real part of the
minimal eigenvalue of Lu equals lambda qu. The study of
the appropriate conditions leads one to three
interesting mathematical questions: (i) relevance, (ii)
spectral approximation and (iii) general estimates.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Wisconsin, Madison, WI, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "elliptic boundary value problem; Iterative Methods;
mathematical techniques; partial differntial operator;
spectral approximation",
}
@Article{Higdon:1986:IBV,
author = "Robert L. Higdon",
title = "Initial-Boundary Value Problems for Linear Hyperbolic
Systems",
journal = j-SIAM-REVIEW,
volume = "28",
number = "2",
pages = "177--217",
month = jun,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L20",
MRnumber = "88a:35138",
MRreviewer = "Rainer Picard",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We discuss and interpret a theory developed by H. -O.
Kreiss and others for studying the suitability of
boundary conditions for linear hyperbolic systems of
partial differential equations. The existing theory is
extremely technical. The present discussion is based on
the characteristic variety of the system. The concept
of characteristic variety leads to (1) a physical
interpretation of the theory in terms of wave
propagation, and (2) a physical and geometrical method
for visualizing the algebraic structure of the system.
The great complexity of the theory is caused by certain
aspects of this structure. We also point out
connections between the above work and a corresponding
theory regarding the stability of finite difference
approximations.",
acknowledgement = ack-nhfb,
affiliationaddress = "Oregon State Univ, Corvallis, OR, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Differential Equations; initial-boundary value
problems; linear hyperbolic systems; mathematical
techniques; partial differential equations; waves ---
Propagation",
}
@Article{Pappas:1986:DGS,
author = "Richard C. Pappas",
title = "Differential-geometric solution of a problem in
electrostatics",
journal = j-SIAM-REVIEW,
volume = "28",
number = "2",
pages = "225--227",
month = jun,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "78A30 (53A05)",
MRnumber = "87e:78015",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Morley:1986:ESP,
author = "Tom Morley",
title = "Errata: {``A simple proof that the world is
three-dimensional''} [{SIAM} Rev. {\bf 27} ({1985}),
no. 1, 69--71 and {MR} 86f:35111]",
journal = j-SIAM-REVIEW,
volume = "28",
number = "2",
pages = "229--229",
month = jun,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L05 (78A40)",
MRnumber = "87h:35187",
bibdate = "Fri Oct 27 14:54:24 2000",
note = "See \cite{Morley:1985:SPW}.",
acknowledgement = ack-nhfb,
}
@Article{Handelman:1986:SRA,
author = "George H. Handelman",
title = "Some reminiscences about {Richard C. DiPrima}:
1927--1984",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "307--313",
month = sep,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "01A70",
MRnumber = "87h:01071",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stuart:1986:TVF,
author = "J. T. Stuart",
title = "Taylor-vortex flow: a dynamical system",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "315--342",
month = sep,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76E10 (76E30)",
MRnumber = "87h:76061",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ling:1986:AAI,
author = "Frederick F. Ling",
title = "Asymptotic analyses in isothermal fluid film
lubrication theories",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "343--366",
month = sep,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76N99 (35C20 76D08)",
MRnumber = "88d:76044",
MRreviewer = "F. Feuillebois",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Pardalos:1986:MGC,
author = "P. M. Pardalos and J. B. Rosen",
title = "Methods for global concave minimization: a
bibliographic survey",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "367--379",
month = sep,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C30 (00A15)",
MRnumber = "87k:90234",
MRreviewer = "K. G. Murty",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Bassanini:1986:ITF,
author = "Piero Bassanini",
title = "Interference in thin films",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "381--384",
month = sep,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "78A25",
MRnumber = "87j:78004",
MRreviewer = "G. P. Bava",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Epperson:1986:AIO,
author = "James F. Epperson",
title = "Analysis and implementation of an oxygen absorption
model",
journal = j-SIAM-REVIEW,
volume = "28",
number = "3",
pages = "389--393",
month = sep,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A09 (65L10)",
MRnumber = "87m:92034",
MRreviewer = "Hilmi Demiray",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Moser:1986:RDT,
author = "J{\"u}rgen Moser",
title = "Recent Developments in the Theory of {Hamiltonian}
Systems",
journal = j-SIAM-REVIEW,
volume = "28",
number = "4",
pages = "459--485",
month = dec,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58F05 (58F10 70H05)",
MRnumber = "88a:58077",
MRreviewer = "D. Schmidt",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Area-preserving mappings of an annulus occur as
Poincare mappings of Hamiltonian systems. Recently S.
Aubry and J. N. Mather separately investigated the
subclass of so-called monotone twist mappings for which
they constructed independently closed invariant Cantor
sets. Their work led to important new results. Their
theory is discussed and related to Hamiltonian systems
satisfying a Legendre condition. The connection of this
theory with the stability problem, KAM theory, and in
particular, the disintegration of invariant tori is
discussed. Various constructions of Mather sets are
explained, in which minimal solutions of variational
problems play a central role.",
acknowledgement = ack-nhfb,
affiliationaddress = "ETH Zentrum, Zurich, Switz",
classification = "731; 921",
journalabr = "SIAM Rev",
keywords = "area-preserving twist mapping; Differential Equations;
Hamiltonian systems; Legendre condition; mathematical
techniques; system stability; variational problems",
}
@Article{Powell:1986:CPA,
author = "M. J. D. Powell",
title = "Convergence Properties of Algorithms for Nonlinear
Optimization",
journal = j-SIAM-REVIEW,
volume = "28",
number = "4",
pages = "487--500",
month = dec,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49D37 (49D10 65K10 90C30)",
MRnumber = "88b:49050",
MRreviewer = "Vincen{\c{t}}iu Dumitru",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper reviews some of the most successful methods
for unconstrained, constrained and nondifferentiable
optimization calculations. Particular attention is
given to the contribution that theoretical analysis has
made to the development of algorithms. It seems that
practical considerations provide the main new ideas,
and that subsequent theoretical studies give
improvements to algorithms, coherence to the subject,
and better understanding.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Cambridge, Cambridge, Engl",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; conjugate
gradients; constrained optimization; convergence;
mathematical programming, nonlinear; nonlinear
optimization; optimization",
}
@Article{Nazareth:1986:CGM,
author = "J. L. Nazareth",
title = "Conjugate Gradient Methods Less Dependent on
Conjugacy",
journal = j-SIAM-REVIEW,
volume = "28",
number = "4",
pages = "501--511",
month = dec,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49D07 (49D37 90C30)",
MRnumber = "88h:49047",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper reviews some recent conjugate gradient
methods for nonlinear minimization and outlines some
promising directions for further development. The aim
is to provide an overall context for the algorithms.",
acknowledgement = ack-nhfb,
affiliationaddress = "Computational Decision Support Systems,
Berkeley, CA, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; conjugate
gradient methods; large-scale minimization;
mathematical programming, nonlinear; optimization",
}
@Article{Strauss:1986:GCM,
author = "David Strauss",
title = "On a General Class of Models for Interaction",
journal = j-SIAM-REVIEW,
volume = "28",
number = "4",
pages = "513--527",
month = dec,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60J99 (60K35)",
MRnumber = "88e:60104",
MRreviewer = "H. W. Lotwick",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper develops a class of probability models for
configurations of interacting points in a domain. The
distributions depend on a function which may be viewed
as giving the potential energy of the configurations.
Examples include models for interaction in a spatial
region and on lattices and graphs. New models in the
general class arise naturally, an example being a
spatial model for points of different categories. Some
general methods, including series expansions and a
simulation method known from statistical mechanics, can
be useful for many of these models. Several
applications of this kind are considered, and some
connections between the models and with the statistical
mechanics are explored.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California at Riverside, Riverside, CA,
USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "computer simulation; interactive systems; lattices;
mathematical models; mathematical techniques --- Graph
Theory; probability; probability models; sequences of
events in time; spatial distribution",
}
@Article{Watson:1986:NLA,
author = "Layne T. Watson",
title = "Numerical Linear Algebra Aspects of Globally
Convergent Homotopy Methods",
journal = j-SIAM-REVIEW,
volume = "28",
number = "4",
pages = "529--545",
month = dec,
year = "1986",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65H10 (65F30 90C30)",
MRnumber = "87k:65069",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Probability one homotopy algorithms are a class of
methods for solving nonlinear systems of equations that
are globally convergent with probability one. These
methods are theoretically powerful, and if constructed
and implemented properly, are robust, numerically
stable, accurate, and practical. The concomitant
numerical linear algebra problems deal with rectangular
matrices, and good algorithms require a delicate
balance (not always achieved) of accuracy, robustness,
and efficiency in both space and time. The author's
experience with globally convergent homotopy algorithms
is surveyed here, and some of the linear algebra
difficulties for dense and sparse problems are
discussed.",
acknowledgement = ack-nhfb,
affiliationaddress = "Virginia Polytechnic Inst \& State Univ,
Blacksburg, VA, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; globally
convergent homotopy methods; mathematical techniques;
Nonlinear Equations; numerical linear algebra",
}
@Article{Tukey:1987:CP,
author = "John W. Tukey",
title = "Configural Polysampling",
journal = j-SIAM-REVIEW,
volume = "29",
number = "1",
pages = "1--20",
month = mar,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62F35 (62F11)",
MRnumber = "88h:62056",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The author considers the use of a single set of
samples as sets of samples from different distributions
by using different sets of weights. Such polysampling
can be extended to configurations. Averaging over
samples can often usefully begin by going first to
configurations by using numerical integration. The
second stage ordinarily involves experimental sampling.
The author treats the location problem for n equals 20,
for the case of exact minimization for two criteria.",
acknowledgement = ack-nhfb,
affiliationaddress = "Princeton Univ, Princeton, NJ, USA",
classification = "913; 921; 922",
journalabr = "SIAM Rev",
keywords = "configurations; double optimization; experimental
sampling; mathematical techniques --- Integration;
numerical integration; optimization; polysampling;
sampling",
}
@Article{Polak:1987:MFN,
author = "E. Polak",
title = "On the Mathematical Foundations of Nondifferentiable
Optimization in Engineering Design",
journal = j-SIAM-REVIEW,
volume = "29",
number = "1",
pages = "21--89",
month = mar,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49D39 (49A52 49D10 90C50 93B50)",
MRnumber = "88e:49063",
MRreviewer = "B. T. Polyak",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "It is shown by example that a large class of
engineering design problems can be transcribed into the
form of a canonical optimization problem with
inequality constraints involving max functions. Such
problems are commonly referred to as semi-infinite
optimization problems. The bulk of this paper is
devoted to the development of a mathematical theory for
the construction of first order nondifferentiable
optimization algorithms, related to phase I --- phase
II methods of feasible directions, which solve these
semi-infinite optimization problems. The applicability
of the theory is illustrated with examples that are
relevant to engineering design.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California, Berkeley, CA, USA",
classification = "723; 901",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; Design;
engineering; nondifferentiable optimization;
optimization",
}
@Article{Smith:1987:DOR,
author = "Donald R. Smith",
title = "Decoupling and order reduction via the {Riccati}
transformation",
journal = j-SIAM-REVIEW,
volume = "29",
number = "1",
pages = "91--113",
month = mar,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34C20 (93B17)",
MRnumber = "88c:34048",
MRreviewer = "T. G. Proctor",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The paper discusses applications of the transformation
in optimal control theory, singular perturbation
theory, and asymptotic approximation theory for
differential equations. In the optimal control problem
the decoupling permits the replacement of a two-point
boundary value problem with an associated pair of
simpler Cauchy problems. In the singular perturbation
problem the Riccati transformation permits the
decoupling of the slow and fast variables. Similarly,
in the asymptotic integration of linear systems the
transformation permits the decoupling of the increasing
and decreasing solutions so as to provide
Liouville-Green approximations. The results obtained
are for the most part well known although novel results
are obtained in some cases, and in every case the
approach via the Riccati transformation is appealing
due to its simplicity and directness.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California at San Diego, La Jolla, CA,
USA",
classification = "731; 921",
journalabr = "SIAM Rev",
keywords = "control systems, optimal --- Theory; decoupling;
mathematical techniques --- Differential Equations;
mathematical transformations; order reduction; Riccati
transformation; singular perturbation theory",
}
@Article{Kaas-Petersen:1987:CML,
author = "Chr. Kaas-Petersen",
title = "Continuation Methods as the Link Between Perturbation
Analysis and Asymptotic Analysis",
journal = j-SIAM-REVIEW,
volume = "29",
number = "1",
pages = "115--135",
month = mar,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L99 (58C40 58F22)",
MRnumber = "88c:65069",
MRreviewer = "Michael Hurley",
bibdate = "Mon Jan 27 11:01:40 1997",
bibsource = "Compendex database",
abstract = "We shall study the periodic orbits of the Rayleigh
oscillator which depend on the damping parameter,
denoted by c. For small values of c we use perturbation
analysis to examine periodic orbits. For large values
of c we use asymptotic analysis. For intermediate
values of c we describe a computational technique which
we denote by `continuation method' to determine the
periodic orbits. The periodic orbits found in this way
approach the perturbed and the asymptotic solutions as
c becomes small and large, respectively. Because of
this the intermediate solution is referred to as a
link.",
acknowledgement = ack-nhfb,
affiliationaddress = "Technical Univ of Denmark, Lyngby, Den",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "asymptotic analysis; continuation methods; dynamics;
mathematical techniques; nonlinear systems; ordinary
differential equations; Perturbation Techniques;
Rayleigh's oscillator",
}
@Article{Protter:1987:COH,
author = "M. H. Protter",
title = "Can One Hear the Shape of a Drum? Revisited",
journal = j-SIAM-REVIEW,
volume = "29",
number = "2",
pages = "185--197",
month = jun,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58G25 (35P15)",
MRnumber = "88g:58185",
MRreviewer = "G{\'e}rard Besson",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In a landmark paper, M. Kac in 1966 showed that
geometric properties of regions in R**2 can be obtained
by studying the asymptotic properties of the spectrum
of the Laplacian. He also conjectured that the shape of
a region might be completely determined by the
spectrum. We describe recent developments in this field
and discuss the status of the Kac conjecture as well as
similar conjectures for operators other than the
Laplacian.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California, Berkeley, CA, USA",
classification = "751; 752; 921",
journalabr = "SIAM Rev",
keywords = "acoustic waves; drums; geometric properties; inverse
problems; Laplacian operators; mathematical techniques
--- Differential Equations; musical instruments;
spectrum analysis",
}
@Article{Smith:1987:EMV,
author = "David A. Smith and William F. Ford and Avram Sidi",
title = "Extrapolation Methods for Vector Sequences",
journal = j-SIAM-REVIEW,
volume = "29",
number = "2",
pages = "199--233",
month = jun,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65B05 (65-02 65F10 65H10)",
MRnumber = "89j:65013a",
MRreviewer = "Karl-Heinz Bachmann",
bibdate = "Fri Oct 27 14:54:50 2000",
bibsource = "Compendex database",
note = "See correction \cite{Smith:1988:CTM}.",
abstract = "The authors describe and compare five methods for
extrapolating to the limit (or anti-limit) of a vector
sequence without explicit knowledge of the sequence
generator. The methods are the minimal polynomial
extrapolation (MPE); the reduced rank extrapolation
(RRE); the vector and scalar versions of the epsilon
algorithm (VEA, SEA); and the topological epsilon
algorithm (TEA). We cover the derivation and error
analysis of iterated versions of the algorithms, as
applied to both linear and nonlinear problems, and we
show why these versions tend to converge quadratically.
We also present samples from extensive numerical
testing that has led us to the following conclusions:
(a) TEA, in spite of its role as a theoretical link
between the polynomial-type and the epsilon-type
methods, has no practical application; (b) MPE is at
least as good as RRE, and VEA at least as good as SEA,
in almost all situations; (c) there are circumstances
in which either MPE or VEA is superior to the other.",
acknowledgement = ack-nhfb,
affiliationaddress = "Duke Univ, Durham, NC, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; extrapolation
methods; iterative methods; mathematical techniques;
numerical methods; vector sequences; Vectors",
}
@Article{Plant:1987:MSA,
author = "Richard E. Plant and Marc Mangel",
title = "Modeling and Simulation in Agricultural Pest
Management",
journal = j-SIAM-REVIEW,
volume = "29",
number = "2",
pages = "235--261",
month = jun,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A15",
MRnumber = "88k:92073",
MRreviewer = "T. G. Hallam",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper introduces some of the mathematical
problems associated with the control of agricultural
insect pests. The view advocated here is that since
agricultural crops are managed biological systems, much
of the applied mathematics developed for biological
systems may be used in pest control. The problem is
broken into three components: (1) strategy selection,
(2) tactics selection, and (3) state estimation. The
concept of strategy selection is illustrated through a
discussion of the Sterile Insect Technique (SIT) as a
means of population suppression. Tactics selection is
illustrated by a discussion of the scheduling of
pesticide applications. The concept of state estimation
is illustrated through two examples. The first example
is a discussion of sequential sampling for pests to
determine if the pest density has crossed an economic
threshold. The second example is a discussion of
information provided by trapping for pests when trying
to determine the extent of an infestation.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of California, Davis, CA, USA",
classification = "723; 821",
journalabr = "SIAM Rev",
keywords = "agricultural engineering; agricultural pest
management; agriculture --- Computer Applications;
Computer Simulation; state estimation; sterile insect
technique; strategy selection; tactics selection",
}
@Article{Estrada:1987:CTS,
author = "R. Estrada and R. P. Kanwal",
title = "{Carleman} Type Singular Integral Equations",
journal = j-SIAM-REVIEW,
volume = "29",
number = "2",
pages = "263--290",
month = jun,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We present a consolidated account of Carleman type
singular integral equations. We have started from the
most basic equation of this type and have at first
attempted to integrate from the existing literature the
progress which has been made so far in this field. Many
different techniques are presented to solve these types
of integral equations both in the real and the complex
domains. In the complex domain both closed and open
contours for integrals are considered. In the process
of this study we find that many known methods need to
be polished and extended. We attempt to accomplish this
and then interrelate different concepts and solutions.
Thereby we obtain solutions of more general singular
integral equations of the Carleman type. Many
interesting examples are presented to illustrate the
general theory.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ de Costa Rica, San Jose, Costa Rica",
classification = "921",
journalabr = "SIAM Rev",
keywords = "carleman type singular integral equations; closed
contours; complex variables; contour integral; Integral
Equations; mathematical techniques; open contours",
}
@Article{McAllister:1987:ANR,
author = "M. Luisa N. McAllister",
title = "An algorithm for networks of rules",
journal = j-SIAM-REVIEW,
volume = "29",
number = "2",
pages = "291--296",
month = jun,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68Q20 (05C20 05C38 68T20)",
MRnumber = "889 246",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Bruckstein:1987:ISD,
author = "A. M. Bruckstein and T. Kailath",
title = "Inverse Scattering for Discrete Transmission-Line
Models",
journal = j-SIAM-REVIEW,
volume = "29",
number = "3",
pages = "359--389",
month = sep,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "94C05 (35R30)",
MRnumber = "88g:94024",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper presents several methods for the
identification of the impedance and reflection
coefficient profile of a nonuniform, discrete
transmission-line from its response to a given forcing
function. This problem is the prototype for a wealth of
one-dimensional inverse scattering problems arising in
various fields. A unified, straightforward approach is
presented, providing all known inversion procedures and
some novel ones. The derivations readily follow from
causality of signal propagation on the
transmission-line. It is shown that a direct
exploitation of the signal propagation model leads to
recursive, computationally efficient and reliable
inversion algorithms. In particular, the relationships
between layer-peeling (Schur type, difference equation)
and layer-adjoining (Levinson type, integral equation)
algorithms are clearly displayed.",
acknowledgement = ack-nhfb,
affiliationaddress = "Stanford Univ, Stanford, CA, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; Differential
Equations; discrete transmission-line models; electric
networks --- Transmission Line Theory; Gelfand-Levitan
equations; inverse scattering; layer-peeling methods;
mathematical techniques; signal propagation model",
}
@Article{Kevorkian:1987:PTO,
author = "J. Kevorkian",
title = "Perturbation Techniques for Oscillatory Systems with
Slowly Varying Coefficients",
journal = j-SIAM-REVIEW,
volume = "29",
number = "3",
pages = "391--461",
month = sep,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34C29 (58F30)",
MRnumber = "88m:34043",
MRreviewer = "A. A. Martynyuk",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This is an expository paper on perturbation techniques
and results for a general system of first order
equations that model various weakly nonlinear
oscillatory motions with slowly varying parameters.
Sample problems from three application areas are
derived and then transformed to a standard form.
Asymptotic solutions and adiabatic invariants are
calculated using the method of near identity averaging
transformations. Equivalent results are also derived
using the method of multiple scales. When certain
divisors in the solution tend to zero, one can isolate
the resonant behavior in a reduced problem of lower
order. The solution of this reduced problem is
discussed in detail for the case of transient
resonance, and qualitatively for the case of sustained
resonance.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Washington, Seattle, WA, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "mathematical techniques; mathematical transformations;
near identity averaging transformations; oscillatory
systems; Perturbation Techniques; slowly varying
coefficients; sustained resonance; transient
resonance",
}
@Article{Bosch:1987:NFS,
author = "A. J. Bosch",
title = "Note on the factorization of a square matrix into two
{Hermitian} or symmetric matrices",
journal = j-SIAM-REVIEW,
volume = "29",
number = "3",
pages = "463--468",
month = sep,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "15A23",
MRnumber = "88f:15018",
MRreviewer = "Shao Kuan Li",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Tadmor:1987:SAF,
author = "Eitan Tadmor",
title = "Stability analysis of finite difference,
pseudospectral and {Fourier--Galerkin} approximations
for time-dependent problems",
journal = j-SIAM-REVIEW,
volume = "29",
number = "4",
pages = "525--555",
month = dec,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65M10 (65N30)",
MRnumber = "88m:65136",
MRreviewer = "R. Manohar",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We consider finite-difference, pseudospectral and
Fourier-Galerkin methods for the approximate solution
of time-dependent problems. The paper provides a
unified framework for the stability analysis of all
three discrete methods. In particular, the problem of
stability for highly accurate stencils is studied in
some detail.",
acknowledgement = ack-nhfb,
affiliationaddress = "Tel Aviv Univ, Tel Aviv, Isr",
classification = "921",
journalabr = "SIAM Rev",
keywords = "finite-difference methods; Fourier-Galerkin method;
mathematical techniques; mathematical transformations
--- Fourier Transforms; Numerical Methods;
pseudospectral method; stability analysis;
time-dependent problems",
}
@Article{Cressie:1987:RST,
author = "Noel Cressie and G. M. Laslett",
title = "Random Set Theory and Problems of Modeling",
journal = j-SIAM-REVIEW,
volume = "29",
number = "4",
pages = "557--574",
month = dec,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62M99 (00A71 60D05)",
MRnumber = "89c:62169",
MRreviewer = "Dietrich Stoyan",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "There is a growing need to describe and model objects
through their form as well as their size. The purpose
of this article is to show the potentials and
limitations of a probabilistic and statistical
approach. Collections of objects (the data) are
assimilated to a random set (the model), whose
parameters provide description and\slash or
explanation.",
acknowledgement = ack-nhfb,
affiliationaddress = "Iowa State Univ, Ames, IA, USA",
classification = "921; 922",
journalabr = "SIAM Rev",
keywords = "boolean model; limit theory; mathematical models;
probability --- Random Processes; random fields; random
set theory",
}
@Article{Higham:1987:SCN,
author = "Nicholas J. Higham",
title = "A Survey of Condition Number Estimation for Triangular
Matrices",
journal = j-SIAM-REVIEW,
volume = "29",
number = "4",
pages = "575--596",
month = dec,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F35",
MRnumber = "88j:65086",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We survey and compare a wide variety of techniques for
estimating the condition number of a triangular matrix,
and make recommendations concerning the use of the
estimates in applications. Each of the methods is shown
to bound the condition number; the bounds can broadly
be categorised as upper bounds from matrix theory and
lower bounds from heuristic or probabilistic
algorithms. For each bound we examine by how much, at
worst, it can overestimate or underestimate the
condition number. Numerical experiments are presented
in order to illustrate and compare the practical
performance of the condition estimators.",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Manchester, Manchester, Engl",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "computer programming --- Algorithms; condition number
estimation; mathematical techniques; Matrix Algebra;
matrix condition number; qr decomposition; rank
estimation; triangular matrices",
}
@Article{Herron:1987:OSE,
author = "Isom H. Herron",
title = "The {Orr--Sommerfeld} equation on infinite intervals",
journal = j-SIAM-REVIEW,
volume = "29",
number = "4",
pages = "597--620",
month = dec,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76E05 (34B25)",
MRnumber = "88m:76033",
MRreviewer = "R. Manohar",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Numerical and asymptotic methods have been developed
the last several years to solve the Orr-Sommerfeld (OS)
stability equation for boundary layers and other
unbounded domain flows. These are surveyed and some of
the abstract mathematical questions they raise are
mentioned. The article highlights some of the more
recent developments in regard to the Orr-Sommerfeld
equation in three ways: (a) the numerical approach, (b)
the asymptotic approach and (c) the abstract approach.
It covers: recent work on the numerical approach; the
improved asymptotic expansions being developed; recent
work on the abstract nature of the spectrum; the
completeness\slash expansion problem; and related
equations for the instability of the Ekman layer, the
flow near a rotating disk, Goertler flow, plane
stagnation flow and certain unbounded domain
time-periodic flows.",
acknowledgement = ack-nhfb,
affiliationaddress = "Howard Univ, Washington, DC, USA",
classification = "631; 921",
journalabr = "SIAM Rev",
keywords = "boundary layers; flow of fluids; fluid dynamics ---
Theory; infinite intervals; mathematical techniques ---
Differential Equations; orr-sommerfeld equation;
Theory; unbounded domain flows",
}
@Article{Quinn:1987:DID,
author = "Dennis W. Quinn",
title = "Determining the input for a dynamic system which is
not completely controllable",
journal = j-SIAM-REVIEW,
volume = "29",
number = "4",
pages = "621--623",
month = dec,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93B05 (49E15)",
MRnumber = "89a:93011",
MRreviewer = "G. Anichini",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Saniee:1987:NOW,
author = "Iraj Saniee",
title = "A note on optimal waiting strategies at bus stops",
journal = j-SIAM-REVIEW,
volume = "29",
number = "4",
pages = "625--629",
month = dec,
year = "1987",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90B99 (90C50)",
MRnumber = "89c:90067",
MRreviewer = "Heinz-Uwe K{\"u}enle",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lions:1988:ECS,
author = "J. L. Lions",
title = "Exact controllability, stabilization and perturbations
for distributed systems",
journal = j-SIAM-REVIEW,
volume = "30",
number = "1",
pages = "1--68",
month = mar,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93B05 (49B50 49E15 93C20 93D15)",
MRnumber = "89e:93019",
MRreviewer = "Asen L. Dontchev",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Exact controllability is studied for distributed
systems, of hyperbolic type or for Petrowsky systems
(like plate equations). The control is a boundary
control or a local distributed control. Exact
controllability consists in trying to drive the system
to rest in a given finite time. The solution of the
problems depends on the function spaces where the
initial data are taken, and also depends on the
function space where the control can be chosen. A
systematic method (named HUM, for Hilbert Uniqueness
Method) is introduced. It is based on uniqueness
results (classical or new) and on Hilbert spaces
constructed (in infinitely many ways) by using
Uniqueness. A number of applications are indicated.
Nonlinear Riccati type PDEs are obtained. Finally, we
consider how all this behaves for perturbed systems.",
acknowledgement = ack-nhfb,
affiliationaddress = "Paris, Fr",
classification = "731",
journalabr = "SIAM Rev",
keywords = "Control Systems, Distributed Parameter;
Controllability; Exact Controllability; Hilbert
Uniqueness Method; Hyperbolic Systems; Mathematical
Techniques; Perturbed Systems; Petrowsky Systems; Plate
Equations; System Stability",
}
@Article{Cohen:1988:SGP,
author = "Joel E. Cohen",
title = "Subadditivity, generalized products of random matrices
and operations research",
journal = j-SIAM-REVIEW,
volume = "30",
number = "1",
pages = "69--86",
month = mar,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "60K30 (58F11 90B15)",
MRnumber = "89g:60300",
MRreviewer = "Philippe Bougerol",
bibdate = "Fri Oct 27 14:56:12 2000",
bibsource = "Compendex database",
note = "See erratum \cite{Cohen:1993:EGP}.",
abstract = "An elementary theorem on subadditive sequences
provides the key to a far-reaching theory of
subadditive processes. One important instance of this
theory is the limit theory for products of stationary
random matrices. This paper shows that the subadditive
inequality that governs the log of the norm of ordinary
matrix products also governs other functions of several
generalized matrix products. These generalized matrix
products are used to calculate minimal cost
transportation routes, schedules in manufacturing and
minimal and maximal probabilities of multistage
processes. The application of subadditive ergodic
theory to generalized products of stationary random
matrices yields new information about the limiting
behavior of generalized products. Exact calculations of
the asymptotic behavior are possible in some
examples.",
acknowledgement = ack-nhfb,
affiliationaddress = "New York, NY, USA",
classification = "912; 921",
journalabr = "SIAM Rev",
keywords = "Generalized Products of Random Matrices; Limit Theory;
Mathematical Techniques; Matrix Algebra; Multistage
Processes; Operations Research; Stationary Random
Matrices; Subadditivity",
}
@Article{Smith:1988:SOD,
author = "Hal L. Smith",
title = "Systems of ordinary differential equations which
generate an order preserving flow. {A} survey of
results",
journal = j-SIAM-REVIEW,
volume = "30",
number = "1",
pages = "87--113",
month = mar,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34C35 (58F11 92A09 92A17)",
MRnumber = "89f:34065",
MRreviewer = "V. M. Popov",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This article consists of a survey of results
concerning the qualitative behavior of solutions of
systems of ordinary differential equations which
generate an order preserving flow. We restrict our
consideration to partial orderings on R\DPRM induced by
any one of its orthants; a flow preserves ordering if
any two solutions x(t) and y(t) are ordered, $x(t)\leq
y(t)$, for all $t<0$ whenever $x(0)\leq y(0)$. A
particularly striking result for this class of systems
is the easily computable necessary and sufficient
condition for stability of an equilibrium. One of our
main goals is to show that by allowing partial
orderings on R\DPRM generated by orthants other than
the positive one, the usual restrictive Kamke
(quasimonotone) condition (all `off-diagonal' feedbacks
are positive) which results from the standard ordering
is modified in such a way as to allow (selectively)
some negative feedback. Some recent comparison results
for systems of reaction-diffusion equations fit quite
naturally in our framework and are reviewed.",
acknowledgement = ack-nhfb,
affiliationaddress = "Tempe, AZ, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Differential Equations; Mathematical Techniques; Order
Preserving Flow; Ordinary Differential Equations;
Partial Orderings; Quasimonotone Condition;
Reaction-Diffusion Equations",
}
@Article{Morley:1988:RWP,
author = "Tom Morley",
title = "Radial wave propagation and distortionless
signalling",
journal = j-SIAM-REVIEW,
volume = "30",
number = "1",
pages = "115--118",
month = mar,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L05",
MRnumber = "89d:35102",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We show that if $\Sigma\alpha
\kappa(r)f+(\kappa)/(t-\delta(r))$, where the summation
is from $\kappa= 0$ to $M$, is a solution of the radial
wave equation, then the dimension $n$ is an odd integer
and $M+1$ is a multiple of $(n-1)/2$ or $n=1,M=0$.",
acknowledgement = ack-nhfb,
affiliationaddress = "Atlanta, GA, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Differential Equations; Distortionless Signaling;
Mathematical Techniques; Radial Wave Propagation;
Waves--Propagation",
}
@Article{Turner:1988:CBA,
author = "D. W. Turner and F. E. Tidmore and D. M. Young",
title = "A calculus based approach to the blood testing
problem",
journal = j-SIAM-REVIEW,
volume = "30",
number = "1",
pages = "119--122",
month = mar,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A07 (62N10)",
MRnumber = "89g:92012",
MRreviewer = "Ivar Heuch",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Elementary calculus techniques are used to develop a
solution to a famous two-stage group testing model used
in industrial and biomedical group screening
applications.",
acknowledgement = ack-nhfb,
affiliationaddress = "Waco, TX, USA",
classification = "461; 912; 921",
journalabr = "SIAM Rev",
keywords = "Biological Materials--Blood; Biomedical Engineering;
Blood Testing; Calculus; Group Screening; Mathematical
Techniques; Personnel--Health; Testing",
}
@Article{OMalley:1988:NSP,
author = "R. E. {O'Malley, Jr.}",
title = "On nonlinear singularly perturbed initial value
problems",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "193--212",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65L05 (34-02 34A50 34E15)",
MRnumber = "89g:65089",
MRreviewer = "P. Brunovsk{\'y}",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The study of singularly perturbed initial value
problems for nonlinear systems of ordinary differential
equations parallels the analysis underlying the
development of numerical algorithms for obtaining
solutions to systems of stiff differential equations.
This paper seeks to emphasize the advantages of
combining these two research efforts. It develops
insight and intuition based on a sequence of solvable
model problems, and it relates a variety of literature
scattered throughout asymptotic and numerical analyses,
stability and control theory and topics in applied
mathematical modeling.",
acknowledgement = ack-nhfb,
affiliationaddress = "Troy, NY, USA",
classification = "723; 731; 921",
journalabr = "SIAM Rev",
keywords = "Asymptotic Methods; Control Systems--Theory;
Differential Equations; Initial Value Problems;
Mathematical Programming; Mathematical Techniques;
Numerical Algorithms; Ordinary Differential Equations;
Singular Perturbations; Stiff Differential Equations;
System Stability",
}
@Article{Platkowski:1988:DVM,
author = "Tadeusz P{\l}atkowski and Reinhard Illner",
title = "Discrete velocity models of the {Boltzmann} equation:
{A} survey on the mathematical aspects of the theory",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "213--255",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76P05 (35Q20 82A40)",
MRnumber = "89f:76066",
MRreviewer = "J{\"u}rgen Batt",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Discrete velocity models of the Boltzmann equation are
of interest in the kinetic theory of gases, and a
fascinating mathematical subject. The last decade has
seen a lot of work on this subject, which is reviewed.
We emphasize mathematical aspects, in particular the
global existence question, qualitative properties of
solutions, explicit solutions, and the fluid dynamical
limit. The mechanical background is discussed.
Contributions concerning other questions are outlined.
An attempt is made to give a complete reference list up
to and including 1985.",
acknowledgement = ack-nhfb,
affiliationaddress = "Warsaw, Pol",
classification = "921; 922; 931",
journalabr = "SIAM Rev",
keywords = "Boltzmann Equation; Discrete Velocity Models; Fluid
Dynamic Limit; Gases--Kinetic Theory; Global Existence
Question; Mathematical Statistics; Mechanics; Theory",
}
@Article{Ramaswami:1988:NME,
author = "V. Ramaswami",
title = "Nonlinear matrix equations in applied probability ---
solution techniques and open problems",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "256--263",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65J15 (60K25 65B99 65U05)",
MRnumber = "90b:65112",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We draw attention to some important nonlinear
equations commonly arising in applied probability,
review some known techniques to compute their minimal
nonnegative solutions, propose improved iterative
techniques, and identify a number of open problems.
Such equations arise ubiquitously in the numerical
solution of many stochastic models in queueing,
inventory, communications, and dam theories. The
development of efficient algorithms and error analyses
for these problems is of importance in enlarging the
set of stochastic models that can be solved by
algorithmic methods.",
acknowledgement = ack-nhfb,
affiliationaddress = "Morris Township, NJ, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Applied Probability; Mathematical Statistics;
Mathematical Techniques--Matrix Algebra; Nonlinear
Matrix Equations; Nonnegative Solutions; Probability;
Queueing Theory; Stochastic Models",
}
@Article{Singpurwalla:1988:FIR,
author = "Nozer D. Singpurwalla",
title = "Foundational issues in reliability and risk analysis",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "264--282",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62N05 (60K10 62C05 62F10 90B25)",
MRnumber = "89e:62133",
MRreviewer = "A. Balogh",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "We discuss statistical methods for hazard
characterization, reliability, and risk analysis. We
motivate our development via the scenario of a fault
tree and state that `probability is the only
satisfactory way to describe the inherent uncertainty
associated with these'. We discuss the various notions
of probability, and recommend the one which appears to
be the most meaningful for the context under
consideration. We also discuss some difficulties in
distinguishing between `real risk' and perceived risk'.
We then state the rules of probability and use them as
a means of combining the various uncertainties and
introduce the notions of a failure model, the
parameters of a model and the reliability of an item.
The important notion of independence and its relevance
to applications is discussed. We introduce the notions
of hazard rates, failure rates and the mean time to
failure, the meaning of these and several
misconceptions about them are pointed out. We discuss
statistical models, statistical sampling, inference,
parameter estimation, the notion of the likelihood and
the likelihood principle. We make some comments about
maximum likelihood estimation and confidence limits,
and point out some difficulties with their use and
interpretation.",
acknowledgement = ack-nhfb,
affiliationaddress = "Washington, DC, USA",
classification = "913; 914; 921; 922",
journalabr = "SIAM Rev",
keywords = "Failure Analysis; Hazard Characterization; Hazard
Rates; Mathematical Statistics; Maximum Likelihood
Estimation; Probability; Reliability Theory; Risk
Analysis; Risk Studies; Statistical Sampling",
}
@Article{Strang:1988:FEE,
author = "Gilbert Strang",
title = "A framework for equilibrium equations",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "283--297",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "49A55 (49F10 94C05)",
MRnumber = "89g:49024",
MRreviewer = "Jacqueline Morgan",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The equations of equilibrium in a wide class of
applications share a common structure. The discrete
case leads to a positive definite symmetric matrix
$A^TCA$, in which $A$ is rectangular and $C$ is often
diagonal. The continuous case (linear or nonlinear)
repeats that pattern. There is a minimum principle for
the potentials, and a dual principle for the flow
variables. We try to clarify these different
expressions of the same law.",
acknowledgement = ack-nhfb,
affiliationaddress = "Cambridge, MA, USA",
classification = "701; 921",
journalabr = "SIAM Rev",
keywords = "Dual Principle; Electromagnetism--Theory; Equilibrium
Equations; Mathematical Techniques; Matrix Algebra;
Minimum Principle; Symmetric Matrix; Variational
Principles",
}
@Article{Batman:1988:BLM,
author = "Don Batman and M. S. Klamkin",
title = "Bounds for the log mean radius for heat conduction in
a multilagged cylindrical pipe",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "298--300",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "80A20 (80-08)",
MRnumber = "89d:80005",
MRreviewer = "N. D. Sengupta",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Upper and lower bounds are obtained for the log mean
radius for one-dimensional radial heat conduction in a
multilagged cylindrical pipe.",
acknowledgement = ack-nhfb,
affiliationaddress = "Lexington, MA, USA",
classification = "631; 641; 921",
journalabr = "SIAM Rev",
keywords = "Conduction; Flow of Fluids--Pipes; Heat Transfer; Hot
Fluid; Log Mean Radius; Multilagged Cylindrical Pipe;
One-Dimensional Radial Flow; Upper and Lower Bounds",
}
@Article{Kanwal:1988:DGS,
author = "R. P. Kanwal",
title = "A differential geometric solution of a problem in
electrostatics",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "301--301",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "78A30",
MRnumber = "89c:78005",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "It is shown that the formulas for the jumps in various
derivatives of a harmonic function across a surface of
discontinuity can be given in terms of various
differential geometric quantities of this surface such
as its mean curvature.",
acknowledgement = ack-nhfb,
affiliationaddress = "University Park, PA, USA",
classification = "701; 921",
journalabr = "SIAM Rev",
keywords = "Charged Conductor; Differential Geometric Quantities;
Discontinuity; Electrostatics; Harmonic Function;
Mathematical Techniques; Mean Curvature; Theory",
}
@Article{Kelly:1988:DNM,
author = "S. Graham Kelly",
title = "Development of normal mode theory for
multi-degree-of-freedom systems using an energy inner
product",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "302--304",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "70J05 (15A18 70J10 70J15)",
MRnumber = "89b:70005",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Linear vibrations of a multi-degree-of-freedom system
are considered using a normal mode analysis. The matrix
eigenvalue problem defining the natural frequencies is
considered using an energy inner product. It is shown
how standard theorems for selfadjoint operators can be
used to derive orthogonality conditions with respect to
the energy inner product.",
acknowledgement = ack-nhfb,
affiliationaddress = "Akron, OH, USA",
classification = "731; 921; 931",
journalabr = "SIAM Rev",
keywords = "Control Systems--Theory; Energy Inner Product;
Mathematical Techniques--Matrix Algebra; Matrix
Eigenvalue Problem; Multi-Degree-of-Freedom Systems;
Natural Frequencies; Normal Mode; Orthogonality
Conditions; Theory; Vibrations",
}
@Article{Fisher:1988:PPT,
author = "Dawn Fisher",
title = "Pressure potential in two dimensions",
journal = j-SIAM-REVIEW,
volume = "30",
number = "2",
pages = "305--307",
month = jun,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The pressure scalar at each point on an inflate
balloon is a function p(V) of the volume of the
balloon. It is known that any antiderivative \Phi of p
is a potential for the pressure, in the sense that the
work done by the pressure as the volume of the balloon
changes from $V_1$ to $V_2$ is $\Phi(V_2)-\Phi(V_1)$.
Now consider a position-dependent (hydrostatic)
pressure on any deforming closed surface, which might
be either a shell such as the balloon, or the surface
of a solid body. It can be shown that this pressure too
has a potential, $\Phi=\int_Bp\,dV$, where $p$ is the
pressure scalar and $B$ is the region of space bounded
by the closed surface. This note provides a simple
proof of the corresponding theorem in two dimensions.",
acknowledgement = ack-nhfb,
affiliationaddress = "Harrisonburg, VA, USA",
classification = "421; 652; 921; 931",
journalabr = "SIAM Rev",
keywords = "Balloons--Pressure Effects; Inflated Balloon;
Mathematical Techniques; Pressure Effects; Pressure
Potential; Pressure Scalar; Theory; Two-Dimensional
Space",
}
@Article{Chu:1988:CRI,
author = "Moody T. Chu",
title = "On the continuous realization of iterative processes",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "375--387",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65Hxx (34C35 39A10 58F08 90C30)",
MRnumber = "89h:65072",
MRreviewer = "T. Y. Li",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Many important mathematical problems are solved by
iterative methods. Many of these iterative schemes may
be regarded as the discrete realization of certain
continuous dynamical systems. This paper summarizes
some of the recent developments in the continuous
realization of several popular basic iterative
methods.",
acknowledgement = ack-nhfb,
affiliationaddress = "Raleigh, NC, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Dynamical Systems; Dynamics; Iterative Methods;
Mathematical Techniques; Newton Method; Optimization",
}
@Article{Packel:1988:DLP,
author = "Edward W. Packel",
title = "Do linear problems have linear optimal algorithms?",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "388--403",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68Q25 (65J10 65V05 68Q30)",
MRnumber = "89h:68068",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A selective introduction to the field
information-based complexity is presented in the
context of the question raised in the title. After
introducing some of the basic ideas of this relatively
new area that interfaces mathematics and theoretical
computer science, the article surveys results on the
existence of linear optimal algorithms for linear
problems. Several illustrative examples are given along
with an indication of the variety of disciplines in
which techniques of information-based complexity are
being applied.",
acknowledgement = ack-nhfb,
affiliationaddress = "Lake Forest, IL, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Algorithms; Computer Programming--Algorithms;
Information Based Complexity; Linear Optimal
Algorithms; Mathematical Techniques; Optimization",
}
@Article{Eubank:1988:OGS,
author = "R. L. Eubank",
title = "Optimal grouping, spacing, stratification, and
piecewise constant approximation",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "404--420",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62G05 (65D07)",
MRnumber = "89j:62052",
MRreviewer = "Girdhar G. Agarwal",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A variety of statistical problems of optimal grouping,
spacing, and stratification are seen to be problems of
optimal breakpoint selection for piecewise constant
$L_2[0, 1]$ approximation of certain functions. This
allows for the development of conditions that insure
the existence and uniqueness of solutions, a
computational algorithm, and simple approximate
solutions. In addition, this approach is shown to
provide insight into the relationships between the
various problems considered.",
acknowledgement = ack-nhfb,
affiliationaddress = "College Station, TX, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Approximation Theory; Breakpoint Selection; Computer
Programming--Algorithms; Mathematical Techniques;
Optimization; Piecewise Polynomials; Probability",
}
@Article{Efron:1988:CIM,
author = "Bradley Efron",
title = "Computer-intensive methods in statistical regression",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "421--449",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62-02 (62J99)",
MRnumber = "89e:62001",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This is a survey of modern developments in statistical
regression, written for the mathematically educated
nonstatistician. It begins with a review of the
traditional theory of least-squares curve-fitting.
Modern developments in regression theory have developed
in response to the practical limitations of the
least-squares approach. Recent progress has been made
feasible by the electronic computer, which frees
statisticians from the confines of mathematical
tractability. Topics discussed include robust
regression, bootstrap measures of variability, local
smoothing and cross-validation, projection pursuit,
Mallows' $C_p$ criterion, Stein estimation, generalized
regression for Poisson data, and regression methods for
censored data. All of the methods are illustrated with
real-life examples.",
acknowledgement = ack-nhfb,
affiliationaddress = "Stanford, CA, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Bootstrap; Computer Aided Analysis; Least Absolute
Deviations; Mathematical Techniques--Least Squares
Approximations; Poisson Regression; Regression
Analysis; Statistical Methods; Stein Estimation",
}
@Article{Schwarz:1988:SDE,
author = "Fritz Schwarz",
title = "Symmetries of differential equations: from {Sophus
Lie} to computer algebra",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "450--481",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "22E05 (01A60 35A30 58G35 68Q40)",
MRnumber = "89i:22013",
MRreviewer = "W. F. Ames",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The topic of this article is the symmetry analysis of
differential equations and the applications of computer
algebra to the extensive analytical calculations which
are usually involved in it. The whole area naturally
decomposes into two parts depending on whether ordinary
or partial differential equations are considered. We
show how a symmetry may be applied to lower the order
of an ordinary differential equation or to obtain
similarity solutions of partial differential equations.
The computer algebra packages SODE and SPDE,
respectively, which have been developed to perform
almost all algebraic manipulations necessary to
determine the symmetry group of a given differential
equation, are presented. Furthermore it is argued that
the application of computer algebra systems has
qualitatively changed this area of applied
mathematics.",
acknowledgement = ack-nhfb,
affiliationaddress = "St. Augustin, West Ger",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "Computer Aided Analysis; Computer Algebra; Computer
Software; Differential Equations; Mathematical
Techniques; Software Package SODE; Software Package
SPDE",
}
@Article{Burton:1988:CSS,
author = "R. M. {Burton, Jr.} and K. Ravishankar and E. D.
Palmes",
title = "Convergence to steady state in a diffusional sampler",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "482--486",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A40",
MRnumber = "89h:92080",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper discusses a mathematical model of a
diffusional sampler and proves that the concentration
of the diffusing molecules approaches its (linear)
equilibrium profile at an exponential rate. The
diffusion coefficient and the mean sojourn time of a
diffusing molecule in the sampler are also calculated,
in terms of the microscopic parameters.",
acknowledgement = ack-nhfb,
affiliationaddress = "Corvallis, OR, USA",
classification = "921; 922; 931",
journalabr = "SIAM Rev",
keywords = "Diffusing Molecules; Diffusion; Euclidean Space;
Gases; Mathematical Models; Molecules; Sampling",
}
@Article{Abed:1988:SPS,
author = "Eyad H. Abed",
title = "A simple proof of stability on the center manifold for
{Hopf} bifurcation",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "487--491",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58F14 (34C25 34D05)",
MRnumber = "89m:58148",
MRreviewer = "Dietrich Flockerzi",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A simple proof is presented for the generic case of a
well-known fact about Hopf bifurcation: if the loss of
stability of an equilibrium point results in periodic
solutions via Hopf bifurcation, then the stability of
these periodic solutions is determined by their
stability on an associated center manifold. More
precisely, it is shown that the characteristic exponent
determining the stability of the periodic solutions is
the same whether computed for the original system or
the system restricted to the center manifold. Attention
is focused on the finite-dimensional case of a
one-parameter family of ordinary differential
equations. The proof consists of exhibiting a
similarity transformation which uncovers the
relationship between the linearized flow of the
original system and that of its restriction to the
center manifold.",
acknowledgement = ack-nhfb,
affiliationaddress = "College Park, MD, USA",
classification = "723; 731; 921",
journalabr = "SIAM Rev",
keywords = "Analysis; Computer Aided Analysis; Control Systems;
Feedback Control; Hopf Bifurcation; Invariant
Manifolds; Mathematical Techniques--Differential
Equations; System Stability",
}
@Article{Scott:1988:GS,
author = "Dan M. Scott and Gary J. Sherman",
title = "The great shootout",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "492--497",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90D20",
MRnumber = "958 103",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper considers the problem of finding the
optimal strategies for players involved in the
Continental Basketball Association's shooting contest.
The optimal strategies are found, and the effect of the
order of shooting is determined.",
acknowledgement = ack-nhfb,
affiliationaddress = "Terre Haute, IN, USA",
classification = "921; 922",
journalabr = "SIAM Rev",
keywords = "Basketball; Game Theory; Mathematical Models; Optimal
Strategies; Optimization; Probability",
}
@Article{Wolper:1988:CNR,
author = "James S. Wolper",
title = "(Celestial) navigation on a {Riemannian} Earth",
journal = j-SIAM-REVIEW,
volume = "30",
number = "3",
pages = "498--501",
month = sep,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This note uses elementary properties of spheres and
vector products to solve real-world problems in
navigation. Suggestions for classroom use and further
problems are included. It is possible to measure the
angle of elevation of a star above the horizon (its
altitude) with a sextant to sufficient accuracy to
obtain useful information about one's location. The
basic problem is then to determine a ship's position
based on a series of altitude observations alone.",
acknowledgement = ack-nhfb,
affiliationaddress = "South Hadley, MA, USA",
classification = "434; 657; 671",
journalabr = "SIAM Rev",
keywords = "Astrophysics; Celestial Spheres; Mathematical
Techniques--Linear Algebra; Navigation Systems; Real
World Navigation; Ships",
}
@Article{Hersch:1988:IMS,
author = "Joseph Hersch",
title = "Isoperimetric monotonicity: some properties and
conjectures ({connections between isoperimetric
inequalities})",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "551--577",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35J05 (35P15 65N15)",
MRnumber = "90d:35059",
MRreviewer = "Angelo Alvino",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Some isoperimetric inequalities of classical
mathematical physics are presented and interpreted in a
way that links them together and suggests four
conjectures, containing them as special cases. The
first of those conjectures has been proved by M.-Th.
Kohler. The others are tested numerically on the
validity of some of their corollaries. These results
are applicable to vibration of a homogeneous membrane
and torsion of a cylindrical rod.",
acknowledgement = ack-nhfb,
affiliationaddress = "Zurich, Switz",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Cylinders; Differential Equations; Helmholtz Equation;
Isoperimetric Inequalities; Isoperimetric Monotonicity;
Mathematical Techniques; Membranes--Vibrations; Partial
Differential Equations; Poisson Equation",
}
@Article{Fishburn:1988:COP,
author = "Peter C. Fishburn",
title = "Combinatorial optimization problems for systems of
subsets",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "578--588",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "05A05 (04A20 06A10 90C30)",
MRnumber = "89i:05003",
MRreviewer = "D. J. Kleitman",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper discusses conjectures based on the
combinatorial optimization problem of maximizing $w(F)$
over a specified collection of families of $F$ of
subsets of $[1,\ldots{},n]$, where $w$ is defined first
on the subsets $A, B,\ldots{}$ of $[1,\ldots{},n]$ and
then extended additively by $w(F)=\Sigma w(A)$, where
$A$ is an element of $F$. Known results that partially
confirm the conjectures are included.",
acknowledgement = ack-nhfb,
affiliationaddress = "Murray Hill, NJ, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Combinatorial Optimization; Mathematical
Techniques--Combinatorial Mathematics; Optimization;
Systems of Subsets",
}
@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 (print), 1095-7200 (electronic)",
MRclass = "68Q25 (03D15 11Y16)",
MRnumber = "89k:68061",
MRreviewer = "Klaus W. Wagner",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper examines low-complexity approximations to
familiar functions and numbers. The intent is to
suggest that it is possible to base a taxonomy of such
functions and numbers on their computational
complexity. A central theme is that traditional methods
of approximation are often very far from optimal, while
good or optimal methods are often very far from
obvious. For most functions, provably optimal methods
are not known; however the gap between what is known
and what is possible is often small. A considerable
number of open problems are posed and a number of
related examples are presented.",
acknowledgement = ack-nhfb,
affiliationaddress = "Halifax, NS, Can",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Algebraic Approximation; Approximation Theory;
Computation of Digits; Familiar Functions; Low
Complexity Approximation; Mathematical Techniques;
Rational Approximation; Reduced Complexity
Approximation",
}
@Article{Tong:1988:SMI,
author = "Y. L. Tong",
title = "Some majorization inequalities in multivariate
statistical analysis",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "602--622",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper contains a review of certain majorization
inequalities in multivariate statistical analysis. The
results apply to a large class of distributions
(including the multivariate normal distribution) and
have implications in estimation, hypothesis testing and
other related problems in statistics.",
acknowledgement = ack-nhfb,
affiliationaddress = "Atlanta, GA, USA",
classification = "922",
journalabr = "SIAM Rev",
keywords = "Integral Inequalities; Majorization Inequalities;
Mathematical Statistics; Multivariate Inequalities;
Multivariate Statistical Analysis; Statistical
Methods",
}
@Article{Smith:1988:CTM,
author = "David A. Smith and William F. Ford and Avram Sidi",
title = "Correction to: {``Extrapolation methods for vector
sequences''}",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "623--624",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65B05 (65-02 65F10 65H10)",
MRnumber = "89j:65013b",
MRreviewer = "Karl-Heinz Bachmann",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
note = "See \cite{Smith:1987:EMV}.",
acknowledgement = ack-nhfb,
}
@Article{DeSanti:1988:MPA,
author = "Albert J. DeSanti",
title = "Model for predicting aircraft altitude loss in a
pull-up from a dive",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "625--628",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This note derives and solves a system of differential
equations, modeling the behavior of an aircraft during
a pull-up from a dive, to yield the altitude loss
during the pull-up. A numerical example is provided to
illustrate the application of the altitude loss
algorithm to a modern tactical aircraft.",
acknowledgement = ack-nhfb,
affiliationaddress = "China Lake, CA, USA",
classification = "404; 652; 921; 931",
journalabr = "SIAM Rev",
keywords = "Aircraft Altitude Loss; Aircraft Pullup Behavior;
Aircraft, Military; Equations of Motion; Flight
Dynamics; Mathematical Techniques--Differential
Equations; Newton's Method",
}
@Article{Mickens:1988:ESP,
author = "Ronald E. Mickens",
title = "Exact solutions to a population model: The logistic
equation with advection",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "629--633",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A15 (35K99)",
MRnumber = "90b:92053",
MRreviewer = "K. Gopalsamy",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper determines exact solutions to a quasilinear
first-order differential equation that can model the
growth of a single population subject to logistic
growth and linear advection. The stationary and
traveling wave solutions are also obtained. The
properties of these solutions are discussed as well as
the behavior of solutions having compact support.",
acknowledgement = ack-nhfb,
affiliationaddress = "Atlanta, GA, USA",
classification = "454; 921",
journalabr = "SIAM Rev",
keywords = "Advection; Ecology; Initial Value Problems; Logistic
Equation; Logistic Growth; Mathematical
Techniques--Differential Equations; Population Models;
Quasilinear First Order Equations",
}
@Article{Kelly:1988:NFM,
author = "S. Graham Kelly",
title = "Natural frequency and mode shape perturbations for
linear multidegree of freedom systems",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "634--638",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "70J05",
MRnumber = "90f:70027",
MRreviewer = "Julio Ruiz-Claeyssen",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A linear multidegree of freedom system is perturbed by
introducing a perturbed mass matrix and a perturbed
stiffness matrix. First-order perturbations of the
natural frequencies are obtained from a solvability
condition. The expansion theorem is then used to
calculate first-order mode shape perturbations. An
example is presented.",
acknowledgement = ack-nhfb,
affiliationaddress = "Akron, OH, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Frequency Perturbations; Linear Multidegree of Freedom
Systems; Mathematical Techniques--Differential
Equations; Mode Shape Perturbations; Vibrations",
}
@Article{Levi:1988:SIP,
author = "Mark Levi",
title = "Stability of the inverted pendulum --- a topological
explanation",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "639--644",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58F10 (34D20 58F40 70K20)",
MRnumber = "90c:58093",
MRreviewer = "Robert Faure",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "An explanation and a proof of stability of the
inverted pendulum whose suspension point undergoes
vertical oscillations is given. The main idea of the
argument is topological: as it turns out, existence of
stable regimes can be proven with little effort using
only very crude qualitative information about the
system. More precisely, let n be the number of times
the pendulum becomes vertical during one forcing
period. If n changes by more than 4 with the change of
a parameter $\mu$, then for an open interval of
intermediate values of $\mu$ the pendulum will be
stable.",
acknowledgement = ack-nhfb,
affiliationaddress = "Boston, MA, USA",
classification = "921; 931; 943",
journalabr = "SIAM Rev",
keywords = "Inverted Pendulums; Mathematical Techniques--Topology;
Pendulums; Stability; Vertical Periodic Oscillations",
}
@Article{Kingston:1988:OWW,
author = "J. G. Kingston",
title = "One-way waves",
journal = j-SIAM-REVIEW,
volume = "30",
number = "4",
pages = "645--649",
month = dec,
year = "1988",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L05",
MRnumber = "90b:35135",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "An integral representation of the solution of the
one-dimensional nonhomogeneous wave equation $u_{tt} -
c^2u_{xx} = g(x,t)$, with $u= u_t = 0$ at $t=0$, is
considered. This form of solution, known as the
d'Alembert solution, is illustrated by an example of a
$g(x,t)$ which produces a wave of finite length
traveling only in one direction. For more general
$g(x,t)$ it is shown how to decompose $g(x,t)$ into
four components each of which produces a component wave
with a simple character.",
acknowledgement = ack-nhfb,
affiliationaddress = "Nottingham, Engl",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Characteristic Coordinates; Mathematical
Techniques--Differential Equations; Nonhomogeneous Wave
Equation; Vibrating Strings; Vibrations; Waves",
}
@Article{George:1989:EMD,
author = "Alan George and Joseph W. H. Liu",
title = "The evolution of the minimum degree ordering
algorithm",
journal = j-SIAM-REVIEW,
volume = "31",
number = "1",
pages = "1--19",
month = mar,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F05 (01A65 65-03 90C27)",
MRnumber = "90g:65033",
MRreviewer = "David R. Kincaid",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The implementation of the minimum degree algorithm has
received much study, and many important enhancements
have been made. This paper describes these various
enhancements, their historical development, and some
experiments showing how very effective they are in
improving the execution time of the algorithm. A
shortcoming is also presented that exists in all of the
widely used implementations of the algorithm, namely,
that the quality of the ordering provided by the
implementations is surprisingly sensitive to the
initial ordering. This sensitivity is caused by the
lack of an effective tie-breaking strategy, and the
authors' experiments illustrate the importance of
developing such a strategy.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Tennessee",
affiliationaddress = "Knoxville, TN, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "Algorithms; Computational Complexity; Computer
Programming--Algorithms; Mathematical Techniques;
Minimum Degree Algorithm; Ordering Algorithms; Sparse
Matrices",
}
@Article{Chan:1989:FAI,
author = "Tony F. Chan and Howard C. Elman",
title = "{Fourier} analysis of iterative methods for elliptic
problems",
journal = j-SIAM-REVIEW,
volume = "31",
number = "1",
pages = "20--49",
month = mar,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65N05 (65F10)",
MRnumber = "90h:65162",
MRreviewer = "O. Widlund",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper presents a Fourier method for analyzing
stationary iterative methods and preconditioners for
discretized elliptic boundary value problems. As in the
von Neumann stability analysis of hyperbolic and
parabolic problems, the approach is easier to apply,
reveals more details about convergence properties than
about standard techniques, and can be applied in a
systematic way to a wide class of numerical methods.
Although the analysis is applicable only to periodic
problems, the results essentially reproduce those of
classical convergence and condition number analysis for
problems with other boundary conditions, such as the
Dirichlet problem. In addition, they give suggestive
new evidence of the strengths and weaknesses of methods
such as incomplete factorization preconditioners in the
Dirichlet case.",
acknowledgement = ack-nhfb,
affiliation = "Univ of California",
affiliationaddress = "Los Angeles, CA, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Boundary Conditions; Boundary Value Problems;
Condition Numbers; Convergence Rates; Fourier Analysis;
Linear Systems; Mathematical Techniques; Mathematical
Transformations--Fourier Transforms; Preconditioners",
}
@Article{Golub:1989:SHC,
author = "Gene H. Golub and Dianne P. O'Leary",
title = "Some history of the conjugate gradient and {Lanczos}
algorithms: 1948--1976",
journal = j-SIAM-REVIEW,
volume = "31",
number = "1",
pages = "50--102",
month = mar,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65-03 (00A15 01A60 65-00 65Fxx 90-03)",
MRnumber = "90b:65003",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The conjugate gradient and Lanczos algorithms for
solving linear systems of equations and eigenproblems
represent very important computational innovations of
the early 1950s. These methods came into wide use only
in the mid-1970s. Shortly thereafter, vector computers
and massive computer memories made it possible to use
these methods to solve problems which could not be
solved in any other way. Since that time, the
algorithms have been further refined and have become a
basic tool for solving a wide variety of problems on a
wide variety of computer architectures. The conjugate
gradient algorithm has also been extended to solve
nonlinear systems of equations and optimization
problems, and this has had tremendous impact on the
computation of unconstrained and constrained
optimization problems. This paper gives some of the
history of the conjugate gradient and Lanczos
algorithms and an annotated bibliography for the period
1948-1976.",
acknowledgement = ack-nhfb,
affiliation = "Stanford Univ",
affiliationaddress = "Stanford, CA, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "Algorithms; Computer Programming--Algorithms;
Conjugate Gradient Algorithm; Lanczos Algorithm;
Mathematical Techniques; Optimization--Theory; Variable
Metric Algorithms",
}
@Article{Udwadia:1989:SRM,
author = "Firdaus E. Udwadia",
title = "Some results on maximum entropy distributions for
parameters known to lie in finite intervals",
journal = j-SIAM-REVIEW,
volume = "31",
number = "1",
pages = "103--109",
month = mar,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62B10",
MRnumber = "90a:62018",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper deals with maximum entropy distributions
for uncertain parameters that lie between two finite
values. Such parameter uncertainties often arise in the
modeling of physical systems. The paper shows that
these maximally unpresumptive distributions depend on
the nature of the a priori information available about
the uncertain parameter. In particular, three commonly
occurring situations met with in engineering systems
are considered: (1) only the interval in which the
uncertain parameter lies is known a priori; (2) the
interval as well as the mean value of the parameter is
known; (3) the interval, the mean value of the
parameter, and the parameter's variance are all known.
The nature of the probability distributions is
determined and closed form solutions for these three
situations are provided.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Southern California",
affiliationaddress = "Los Angeles, CA, USA",
classification = "901; 921; 922",
journalabr = "SIAM Rev",
keywords = "A Priori Information; Engineering--Mathematical
Models; Finite Intervals; Mathematical Models; Maximum
Entropy; Probability Distributions;
Probability--Applications; Theory; Uncertain
Parameters",
}
@Article{Kim:1989:EAA,
author = "Young J. Kim and Joan L. Aron",
title = "On the equality of average age and average expectation
of remaining life in a stationary population",
journal = j-SIAM-REVIEW,
volume = "31",
number = "1",
pages = "110--113",
month = mar,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A15",
MRnumber = "90a:92045",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A simple proof establishes that, in a stationary
population, the average age A is equal to the average
expectation of remaining life E. This is analogous to a
result in renewal theory. An epidemiological model of
lifelong infectivity is presented for which E appears
in the threshold condition for spread of infection. The
substitution of A for E is useful because age is easier
to measure than the expectation of remaining life.",
acknowledgement = ack-nhfb,
affiliation = "Johns Hopkins Univ",
affiliationaddress = "Baltimore, MD, USA",
classification = "461; 922",
journalabr = "SIAM Rev",
keywords = "Applications; Health Care--Epidemiology; Mathematical
Demography; Mathematical Epidemiology; Mathematical
Statistics--Applications; Population Model;
Probability; Renewal Theory; Statistical
Methods--Applications",
}
@Article{Manas:1989:PCI,
author = "G. J. Manas and D. H. Meyer",
title = "On a problem of coin identification",
journal = j-SIAM-REVIEW,
volume = "31",
number = "1",
pages = "114--117",
month = mar,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62A15 (62F03)",
MRnumber = "90a:62013",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "On the basis of the number of spins required to obtain
a certain number of heads, a rule with a specified
probability of being correct is given to decide which
of two unequal bias values is possessed by a chosen
coin. In addition, the expected number of spins until
this determination is possible is established. The
problem is then extended to the identification of the
bias of a coin from three possible values. This problem
arose in the testing of digital circuits with internal
memory. Such observations are expensive and may be
reduced by this probabilistic technique.",
acknowledgement = ack-nhfb,
affiliation = "Univ of the Witwatersrand",
affiliationaddress = "Johannesburg, S Afr",
classification = "713; 913; 922",
journalabr = "SIAM Rev",
keywords = "Binomial Random Variables; Electronic Circuits,
Digital--Testing; Hypothesis Testing; Negative
Binomial; Normal Approximation; Prior Probabilities;
Probability; Quality Control--Theory; Random Processes;
Semicurtailed Sampling; Statistical Methods",
}
@Article{Stuart:1989:NID,
author = "Andrew Stuart",
title = "Nonlinear instability in dissipative finite difference
schemes",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "191--220",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65M12 (35K57)",
MRnumber = "91b:65110",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A unified analysis of reaction-diffusion equations and
their finite difference representations is presented.
The parallel treatment of the two problems shows
clearly when and why the finite difference
approximations break down. The approach used provides a
general framework for the analysis and interpretation
of numerical instability in approximations of
dissipative nonlinear partial differential equations.
Continuous and discrete problems are studied from the
perspective of bifurcation theory, and numerical
instability is shown to be associated with the
bifurcation of periodic orbits in discrete systems. An
asymptotic approach is used to investigate the
instability phenomenon further. In particular,
equations are derived that describe the interaction of
the dynamics of the partial differential equation with
the artefacts of the discretization.",
acknowledgement = ack-nhfb,
affiliationaddress = "Cambridge, MA, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Bifurcation; Diffusion--Calculations; Discrete
Problems; Finite Difference Method; Mathematical
Techniques; Reaction-Diffusion Equations",
}
@Article{Hager:1989:UIM,
author = "William W. Hager",
title = "Updating the inverse of a matrix",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "221--239",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65Fxx",
MRnumber = "90c:65043",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The Sherman-Morrison-Woodbury formulas relate the
inverse of a matrix after a small-rank perturbation to
the inverse of the original matrix. The history of
these formulas is presented and various applications to
statistics, networks, structural analysis, asymptotic
analysis, optimization, and partial differential
equations are discussed. The Sherman-Morrison-Woodbury
formulas express the inverse of a matrix after a small
rank perturbation in terms of the inverse of the
original matrix. This paper surveys the history of
these formulas and we examine some applications where
these formulas are helpful.",
acknowledgement = ack-nhfb,
affiliationaddress = "Gainesville, FL, USA",
classification = "408; 921; 922",
journalabr = "SIAM Rev",
keywords = "Mathematical Techniques; Matrix Algebra; Matrix
Perturbations; Matrix Updates; Optimization;
Sherman-Morrison-Woodbury Formulas; Statistical
Methods; Structural Analysis",
}
@Article{Meyer:1989:SCU,
author = "Carl D. Meyer",
title = "Stochastic complementation, uncoupling {Markov}
chains, and the theory of nearly reducible systems",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "240--272",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65U05 (60J10 60J20)",
MRnumber = "90f:65245",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A concept called stochastic complementation is an idea
which occurs naturally, although not always explicitly,
in the theory and application of finite Markov chains.
This paper brings this idea to the forefront with an
explicit definition and a development of some of its
properties. Applications of stochastic complementation
are explored with respect to problems involving
uncoupling procedures in the theory of Markov chains.
Furthermore, the role of stochastic complementation in
the development of the classical Simon-Ando theory of
nearly reducible system is presented.",
acknowledgement = ack-nhfb,
affiliationaddress = "Raleigh, NC, USA",
classification = "921; 922",
journalabr = "SIAM Rev",
keywords = "Finite Markov Chains; Mathematical
Techniques--Algorithms; Nearly Reducible Systems;
Probability; Simon-Ando Theory; Stochastic
Complementation; Theory",
}
@Article{Keinert:1989:IPT,
author = "Fritz Keinert",
title = "Inversion of $k$-plane transforms and applications in
computer tomography",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "273--298",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "44A15 (65R10 92A07)",
MRnumber = "90j:44006",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The mathematics behind Computerized Tomography (CT) is
based on the study of the parallel beam transform $P$
and the divergent beam transform $D$. Both of these map
a function $f$ in $R^n$ into a function defined on the
set of all lines in $R^n$, by integrating $f$ along
these lines. The parallel and divergent $k$-plane
transforms are defined in a similar fashion by
integration over $k$-planes (i.e., translates of
$k$-dimensional subspaces) and are also denoted P and
D, respectively. A related transform is the spherical
$k$-plane transform S, which maps a function f on the
sphere S\+n-1\/ into its integrals over $k$-dimensional
great circles. This paper discusses the properties of
the $k$-plane transforms P, D, and S and their
inverses, emphasizing relationships and similarities
between the operators, and their relation to CT. Some
new results are included. Most notable are more general
conditions under which the inversion formulas hold.",
acknowledgement = ack-nhfb,
affiliationaddress = "Ames, IA, USA",
classification = "461; 723; 921; 932",
journalabr = "SIAM Rev",
keywords = "Biomedical Engineering; Computerized Tomography;
Divergent Beam Transform; Imaging Techniques; K-Plane
Transforms; Local Tomography; Mathematical
Transformations--Fourier Transforms; Radon Transform;
X-Rays",
}
@Article{Pennell:1989:CPA,
author = "S. Pennell and J. Deignan",
title = "Computing the projected area of a cone",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "299--302",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "51M25 (51N20)",
MRnumber = "90d:51037",
MRreviewer = "H. W. Guggenheimer",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Techniques from linear algebra and calculus are used
to compute the projected area of an arbitrarily
oriented right circular cone. This type of computation
is important in the design of interceptor missile
systems, which use infrared sensors to distinguish
between warheads and decoys.",
acknowledgement = ack-nhfb,
affiliationaddress = "Lowell, MA, USA",
classification = "641; 654; 741; 931",
journalabr = "SIAM Rev",
keywords = "Bodies of Revolution; Computation; Cone; Heat
Transfer--Radiation; Infrared Imaging; Infrared
Sensors; Interceptor Missile Systems; Rockets and
Missiles",
}
@Article{Marcotte:1989:SSB,
author = "Patrice Marcotte",
title = "To serve or not to serve: a badminton dilemma",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "303--305",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90D10 (39A10 90C39)",
MRnumber = "90b:90157",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mathis:1989:EFR,
author = "Frank Mathis",
title = "Effect of fatigue on running strategies",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "306--309",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A mathematical model for running includes fatigue as a
factor. Techniques of numerical approximation and
nonlinear programming then determine the best running
strategy for a race.",
acknowledgement = ack-nhfb,
affiliationaddress = "Waco, TX, USA",
classification = "461; 921; 931",
journalabr = "SIAM Rev",
keywords = "Biomechanics; Biped Locomotion; Mathematical
Programming, Nonlinear; Mathematical Techniques--Finite
Difference Method; Optimal Strategy; Race Running
Strategy",
}
@Article{Hansen:1989:MER,
author = "Vagn Lundsgaard Hansen",
title = "Minima for elastics on rigid cylinders",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "310--317",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "73C50 (49F99 58E15 73C60)",
MRnumber = "90g:73042",
MRreviewer = "John M. Ball",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The theory of global calculus of variations in
nonlinear spaces of maps is illustrated in the simple
case of maps of the circle into itself. As an
application, the behaviour of an elastic on a
frictionless rigid cylinder is explained by identifying
the well-known equilibrium positions of the elastic as
the minima for a suitable energy function on the space
of all smooth maps of the circle into itself.",
acknowledgement = ack-nhfb,
affiliationaddress = "Lyngby, Den",
classification = "408; 921",
journalabr = "SIAM Rev",
keywords = "Cylinders; Elasticity; Equilibrium Positions; Global
Calculus of Variations; Mathematical
Techniques--Nonlinear Equations; Mathematical
Transformations",
}
@Article{Ikonic:1989:ESD,
author = "Z. Ikonic and V. Milanovic",
title = "Exact solutions of a differential equation",
journal = j-SIAM-REVIEW,
volume = "31",
number = "2",
pages = "324--325",
month = jun,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In certain physical problems, for example, band
structure determination in graded band-gap
semiconductors or `sawtooth' superlattices, there
appears a variable-potential-variable-effective mass
Schr{\"o}dinger equation. This paper attempts to find
solutions in closed form.",
acknowledgement = ack-nhfb,
affiliationaddress = "Belgrade, Yugosl",
classification = "408; 921",
journalabr = "SIAM Rev",
keywords = "Band Structure; Cylinders--Calculations; Differential
Equations; Mass Schr{\"o}dinger Equation; Mathematical
Techniques",
}
@Article{Ramsey:1989:BBS,
author = "L. Thomas Ramsey",
title = "Best bounds for the stability of {DARMA} filters with
constant coefficients",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "365--400",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "39A11 (39-02)",
MRnumber = "90h:39011",
MRreviewer = "Dongning Li",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper analyses deterministic, autoregressive,
moving average (DARMA) filters with emphasis on
stability. Initially no special assumptions are imposed
on the input and output sequences; later the discussion
will focus on two cases: bounded sequences (the
noncausal case) and sequences with a finite past (the
casual case). This paper has two main goals. First, the
stability of DARMA filters is made more explicit than
by the usual stability theorems found in signal
processing literature. Specifically, numerical bounds
are provided on how much the filter can increase the
\EL\INF-norm of an input sequence. Second, in the
noncasual case, valuable pathologies occur when the
filter has at least one pole of modulus 1. These
pathologies clarify the abstract definitions of a
filter.",
acknowledgement = ack-nhfb,
affiliationaddress = "Honolulu, HI, USA",
classification = "711; 731",
journalabr = "SIAM Rev",
keywords = "Control Systems--Theory; Control Theory; darma Filter;
Difference Equations; Invariant Means; Signal Filtering
and Prediction; Signal Processing--Digital Techniques;
Stability Theorems; System Stability; Theory",
}
@Article{Choi:1989:ASA,
author = "Y. S. Choi and Andrew Majda",
title = "Amplification of small-amplitude high-frequency waves
in a reactive mixture",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "401--427",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "80A25 (35K35 76L05 76N99 80A32)",
MRnumber = "90g:80013",
MRreviewer = "Robert A. Gardner",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Simplified asymptotic equations for the interaction of
high-frequency, small-amplitude waves in a chemically
reacting gas are developed and analyzed. The equations
for nonlinear acoustic simple waves in a reacting
mixture are solved explicitly. The asymptotic equations
for the resonant interaction of almost periodic wave
trains in a reacting gas are also developed. The
asymptotic regime discussed here, involving a balance
of small amplitudes and small wavelengths for fixed
activation energy, illustrates in a simplified context
some of the main new phenomena being analyzed in the
current theoretical combustion literature in more
complex situations.",
acknowledgement = ack-nhfb,
affiliationaddress = "Storrs, CT, USA",
classification = "751; 802; 931",
journalabr = "SIAM Rev",
keywords = "Acoustic Wave Effects; Acoustic Waves Interaction;
Acoustic Waves--Amplification; Chemical Reactions;
Gases--Combustion; Multiwave Resonant Interaction;
Nonlinear Acoustics; Nonlinear Geometric Optics;
Reactive Mixture",
}
@Article{Piegorsch:1989:EUM,
author = "Walter W. Piegorsch and George Casella",
title = "The early use of matrix diagonal increments in
statistical problems",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "428--434",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (01A60 65U05)",
MRnumber = "90g:65044",
bibdate = "Fri Oct 27 14:55:15 2000",
bibsource = "Compendex database",
note = "See erratum \cite{Piegorsch:1990:EIS}.",
abstract = "The early motivation for and development of diagonal
increments to ease matrix inversion in least squares
(LS) problems is discussed. It is noted that this
diagonal incrementation evolved from three major
directions: modification of existing methodology in
nonlinear LS, utilization of additional information in
linear regression, and improvement of the numerical
condition of a matrix. The interplay among these
factors and the advent of ridge regression are
considered in a historical and comparative framework.",
acknowledgement = ack-nhfb,
affiliationaddress = "Ithaca, NY, USA",
classification = "921; 922",
journalabr = "SIAM Rev",
keywords = "Diagonal Increments; Least Squares Approximations;
Mathematical Statistics; Mathematical Techniques;
Matrix Ill-Conditioning; Matrix Inversion; Nonlinear
Least Squares; Statistical Methods--Regression
Analysis",
}
@Article{Meyer:1989:SES,
author = "R. E. Meyer",
title = "A simple explanation of the {Stokes} phenomenon",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "435--445",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34E20 (41A60 81F05)",
MRnumber = "90f:34097",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The Stokes Phenomenon is known to be a pervasive
feature of asymptotics, but its explanation in the
literature is obscured by intricate and lengthy
technicalities. This article presents a simpler
approach to its understanding and treatment as a
natural aspect of a well-motivated characterization of
functions by approximands of different
multivaluedness.",
acknowledgement = ack-nhfb,
affiliationaddress = "Madison, WI, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Function Characterization; Function Evaluation;
Mathematical Asymptotics; Mathematical Techniques;
Mechanical Waves--Propagation; Multivalued
Approximation; Quantum Theory; Stokes Phenomenon; Wave
Equations",
}
@Article{Segel:1989:QSS,
author = "Lee A. Segel and Marshall Slemrod",
title = "The quasi-steady-state assumption: a case study in
perturbation",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "446--477",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92B05 (34E15 92C45)",
MRnumber = "92f:92003",
MRreviewer = "J. C. Misra",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The quasi-steady-state assumption (QSSA) of
biochemistry is studied as an approximation that is
important in itself and also that exemplifies an
approach to ODE systems with an initial fast transient.
Simple estimates of the two relevant time scales of the
underlying problem are made. These estimates lead to a
dimensionless formulation containing a different small
parameter from that which is customary. Earlier results
on the QSSA are surveyed in the context of the new
nondimensionalization. It is shown that more
comprehensive and simpler error estimates can now be
made. Some general methodological hints are drawn from
this example.",
acknowledgement = ack-nhfb,
affiliationaddress = "Rehovot, Isr",
classification = "801; 802; 921",
journalabr = "SIAM Rev",
keywords = "Biochemical Kinetics; Biochemistry; Chemical
Reactions; Chemical Reactions--Reaction Kinetics; Fast
Transients; Mathematical Techniques--Perturbation
Techniques; Michaelis-Menten Approximation;
Quasi-Steady-State Assumption; Scaling; Singular
Perturbations",
}
@Article{Adomaitis:1989:KBT,
author = "Raymond A. Adomaitis",
title = "Kites and bifurcation theory",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "478--483",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58F40 (58F14 70K99 76B05)",
MRnumber = "90i:58172",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The author gives an analysis of the bifurcation
behavior of a kite in action along with a brief survey
of its dynamics. The careful observation of the
dynamics of a kite in flight hints at the possibility
of multiple equilibrium states. An application of
bifurcation theory to a simplified model of kite flight
bears out this assertion by proving the existence of a
limit point bifurcation in the wind velocity\slash kite
string angle plane.",
acknowledgement = ack-nhfb,
affiliationaddress = "Chicago, IL, USA",
classification = "651; 931",
journalabr = "SIAM Rev",
keywords = "Aerodynamics; Bifurcation Theory; Equations of Motion;
Equilibrium State; Flight Stability; Kites; Lift Drag
Ratio; Wings and Airfoils",
}
@Article{Richardson:1989:IAP,
author = "S. Richardson",
title = "An identity arising in a problem of conformal
mapping",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "484--485",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "30C20",
MRnumber = "90h:30019",
MRreviewer = "John G. Milcetich",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The Riemann mapping theorem, the Schwarz-Christoffel
formula and the reflection principle of Schwarz are
discussed. A simple proof is given of an identity that
arises in a particular problem of conformal mapping.",
acknowledgement = ack-nhfb,
affiliationaddress = "Edinburgh, Scotl",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Conformal Mapping; Mapping Function; Mathematical
Techniques; Reflection Principle; Schwarz-Christoffel
Formula",
}
@Article{Grzesik:1989:NRT,
author = "J. A. Grzesik",
title = "{Von Neumann}'s rejection technique reexamined",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "486--489",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65C10 (65U05)",
MRnumber = "91b:65006",
MRreviewer = "Stefan C. V. Stef{\'a}nescu",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Von Neumann's rejection technique for random number
sampling is restated as a renewal process governed by a
geometric distribution with regard to success
attainment. The pedagogical advantage of a derivation
that is more transparent than the one commonly
available is obtained. Another benefit is a
straightforward computation of the dispersion in trial
number around its mean.",
acknowledgement = ack-nhfb,
affiliationaddress = "Redondo Beach, CA, USA",
classification = "922",
journalabr = "SIAM Rev",
keywords = "Geometric Probability Distribution; Mathematical
Statistics; Probability--Random Processes; Random
Number Generation; Rejection Sampling; Renewal Process;
Statistical Methods",
}
@Article{Nievergelt:1989:MHP,
author = "Yves Nievergelt",
title = "Mathematics of a home-made parabolic reflector",
journal = j-SIAM-REVIEW,
volume = "31",
number = "3",
pages = "490--492",
month = sep,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A reflecting paraboloid of revolution may be
approximated by ruled facets having the shape of a
planar leaf bent onto a parabolic cylinder. As an
attempt to convey some of the ideas of applied
mathematics to calculus students, this note shows how
to design planar panels that may be bent and assembled
into a parabolic reflector, which may serve as a dish
antenna or as a solar oven.",
acknowledgement = ack-nhfb,
affiliationaddress = "Cheney, WA, USA",
classification = "535; 716; 921",
journalabr = "SIAM Rev",
keywords = "Antennas, Parabolic--Reflectors; Bending; Dish
Antenna; Mathematical Techniques--Geometry; Metal
Forming; Parabolic Reflector; Planar Panels; Solar
Oven",
}
@Article{Lax:1989:FAM,
author = "Peter D. Lax",
title = "The flowering of applied mathematics in America.
Reprinted from {\em A century of mathematics, Part II},
455--466, Amer. Math. Soc., Providence, {RI}, 1989 [see
{MR} 90a:01065 ]",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "533--541",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "01A60 (00A25 00A69)",
MRnumber = "1 025 479",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Garabedian:1989:CMF,
author = "P. R. Garabedian",
title = "Computational models in fusion research",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "542--559",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76-08 (76E25 76W05 76X05 82A45)",
MRnumber = "90j:76012",
MRreviewer = "Magdi M. Shoucri",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The variational principle of ideal
magnetohydrodynamics suggests a method to calculate the
toroidal equilibrium of a plasma. Three-dimensional
computer codes have been developed to model complicated
configurations that occur in current stellarator
experiments. Convergence of numerical data to weak
solutions of the equilibrium equations is observed.
Stability has been analyzed successfully for
free-boundary modes of low order. The confinement of
ions and electrons is estimated by the Monte Carlo
method.",
acknowledgement = ack-nhfb,
affiliation = "New York Univ",
affiliationaddress = "New York, NY, USA",
classification = "621; 701; 921; 922; 932",
journalabr = "SIAM Rev",
keywords = "Drift Kinetic Equation;
Magnetohydrodynamics--Mathematical Models; Mathematical
Statistics--Monte Carlo Methods; Mathematical
Techniques--Variational Techniques; Nuclear
Energy--Fusion Reactions; Plasmas; Stability; Toroidal
Equilibrium",
}
@Article{Singpurwalla:1989:UPS,
author = "Nozer D. Singpurwalla",
title = "A unifying perspective on statistical modeling",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "560--564",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62A15 (62C12)",
MRnumber = "90k:62010",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper presents a streamlined perspective on the
various approaches to statistical modeling. This
perspective can be though of as a way to unify the
Bayes, empirical-Bayes, Bayes-empirical-Bayes,
parametric, nonparametric, and semiparametric models
used to describe uncertainty. It is emphasized here
that this paper concentrates on modeling, not on the
approaches to inference that can also be categorized
under the above labels, but that are quite different in
their philosophical orientation.",
acknowledgement = ack-nhfb,
affiliation = "George Washington Univ",
affiliationaddress = "Washington, DC, USA",
classification = "922",
journalabr = "SIAM Rev",
keywords = "Bayes Method; Hierarchical Models; Mathematical
Models; Statistical Methods; Statistical Modeling",
}
@Article{Dassios:1989:KIL,
author = "George Dassios and R. E. Kleinman",
title = "On {Kelvin} inversion and low-frequency scattering",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "565--585",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35J05 (31B20 35C99 78A45)",
MRnumber = "90i:35073",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper shows how the Kelvin transformation
(inversion) may be applied to scattering problems of
linear acoustics. First, the Kelvin transformation and
its application to problems in three-dimensional
potential theory is reviewed. Then the application to
scattering problems is presented. This involves
transforming the exterior problem for the original
scatter into a succession of interior problems for the
transformed surface. The complete low-frequency
expansions of both near and far fields are presented in
terms of the solutions of these related interior
potential problems. Results are presented for
Dirichlet, Neumann, and Robin boundary conditions as
well as for the transmission problem.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classification = "751; 921",
journalabr = "SIAM Rev",
keywords = "Acoustic Waves; Helmholtz Equation; Kelvin Inversion;
Kelvin Transformation; Linear Acoustics; Low Frequency
Acoustic Scattering; Mathematical Techniques--Boundary
Value Problems; Partial Differential Equations;
Scattering",
}
@Article{Regalia:1989:KPU,
author = "Phillip A. Regalia and Sanjit K. Mitra",
title = "{Kronecker} products, unitary matrices and signal
processing applications",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "586--613",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "15A23 (15A57 94A11)",
MRnumber = "90m:15024",
MRreviewer = "Mihail Voicu",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Discrete unitary transforms are extensively used in
many signal processing applications, and in the
development of fast algorithms Kronecker products have
proved quite useful. In this semitutorial paper, we
briefly review properties of Kronecker products and
direct sums of matrices, which provide a compact
notation in treating patterned matrices. A generalized
matrix product, which inherits some useful algebraic
properties from the standard Kronecker product and
allows a large class of discrete unitary transforms to
be generated from a single recursion formula, is then
introduced. The notation is intimately related to
sparse matrix factorizations, and examples are included
illustrating the utility of the new notation in signal
processing applications. Finally, some novel
characteristics of Hadamard transforms and polyadic
permutations are derived in the framework of Kronecker
products.",
acknowledgement = ack-nhfb,
affiliation = "Inst Natl des Telecommunications",
affiliationaddress = "Evry, Fr",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "Computer Programming--Algorithms; Hadamard Transforms;
Kronecker Products; Mathematical Techniques--Matrix
Algebra; Mathematical Transformations; Polyadic
Permutations; Signal Processing--Digital Techniques;
Unitary Matrices",
}
@Article{Strang:1989:WDE,
author = "Gilbert Strang",
title = "Wavelets and dilation equations. {A} brief
introduction",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "614--627",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "42C15",
MRnumber = "91m:42028",
MRreviewer = "Hans G. Feichtinger",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Wavelets are new families of basis functions that
yield the representation $f(x) = \Sigma b_{jk}W(2^jx -
k)$. Their construction begins with the solution
$\phi(x)$ to a dilation equation with coefficients
$C_k$. Then $W$ comes from $\phi$, and the basis comes
by translation and dilation of $W$. It is shown in Part
1 how conditions on the $C_k$ lead to approximation
properties and orthogonality properties of the
wavelets. Part 2 describes the recursive algorithms
(also based on the $C_k$) that decompose and
reconstruct $f$. The object of wavelets is to localize
as far as possible in both time and frequency, with
efficient algorithms.",
acknowledgement = ack-nhfb,
affiliation = "Massachusetts Inst of Technology",
affiliationaddress = "Cambridge, MA, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "Basis Functions; Computer Programming--Algorithms;
Dilation Equations; Mathematical Techniques--Difference
Equations; Recursive Algorithms; Theory; Waves",
}
@Article{Heil:1989:CDW,
author = "Christopher E. Heil and David F. Walnut",
title = "Continuous and discrete wavelet transforms",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "628--666",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "42C15",
MRnumber = "91c:42032",
MRreviewer = "Hans G. Feichtinger",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper is an expository survey of results on
integral representations and discrete sum expansions of
functions in $L^2(R)$ in terms of coherent states. Two
types of coherent states are considered:
Weyl-Heisenberg coherent states, which arise from
translations and modulations of a single function, and
affine coherent states, called `wavelets,' which arise
as translations and dilations of a single function. In
each case it is shown how to represent any function in
$L^2(R)$ as a sum or integral of these states.",
acknowledgement = ack-nhfb,
affiliation = "MITRE Corp",
affiliationaddress = "McLean, VA, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Gabor Transform; Integral Transforms; Mathematical
Transformations; Wavelet Transforms; Waves",
}
@Article{Deakin:1989:SFE,
author = "Michael A. B. Deakin",
title = "{Stokes} flow: an elementary treatment",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "667--670",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76D07",
MRnumber = "90k:76043",
MRreviewer = "A. M. J. Davis",
bibdate = "Mon Jan 27 11:03:06 1997",
bibsource = "Compendex database",
abstract = "Similarity considerations are used to examine the
problem of Stokes flow past a sphere. A complete
solution for the velocity, vorticity, and pressure
fields is constructed in an elementary way via the use,
at one point, of a simple functional equation.",
acknowledgement = ack-nhfb,
affiliation = "Monash Univ",
affiliationaddress = "Victoria, Aust",
classification = "631; 921",
journalabr = "SIAM Rev",
keywords = "Flow of Fluids; Functional Equations; Mathematical
Techniques--Differential Equations; Stokes Flow;
Viscous",
}
@Article{Jaffray:1989:DPK,
author = "J. Y. Jaffray and J. Ch. Pomerol",
title = "A direct proof of the {Kuhn--Tucker} necessary
optimality theorem for convex and affine inequalities",
journal = j-SIAM-REVIEW,
volume = "31",
number = "4",
pages = "671--674",
month = dec,
year = "1989",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C30",
MRnumber = "90m:90252",
MRreviewer = "S. R. Mohan",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A new proof of the Kuhn-Tucker necessary optimality
condition is given for convex and affine inequalities.
This proof differs from other existing proofs by
relying only on a classical separation theorem for
convex sets. Since this statement only assumes the
weaker form of the Slater constraint qualification, it
contains --- without unnecessary restriction --- the
duality theorem for linear programming as well as the
optimality conditions for quadratic and convex-linear
programming.",
acknowledgement = ack-nhfb,
affiliation = "Univ Paris",
affiliationaddress = "Paris, Fr",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Constraint Qualification; Convex Programming;
Kuhn-Tucker Theorem; Mathematical Programming, Linear;
Necessary Optimality Condition; Optimization",
}
@Article{Winfree:1990:SPL,
author = "A. T. Winfree",
title = "Stable Particle-Like Solutions to the Nonlinear Wave
Equations of Three-Dimensional Excitable Media",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "1--53",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92C30 (35K57 73P05 80A30)",
MRnumber = "91e:92009",
MRreviewer = "Sui Yang Chen",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gallivan:1990:PAD,
author = "K. A. Gallivan and R. J. Plemmons and A. H. Sameh",
title = "Parallel Algorithms for Dense Linear Algebra
Computations",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "54--135",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65Y05 (65-02 65Fxx)",
MRnumber = "91d:65224",
MRreviewer = "Ming Kui Chen",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
bibsource = "Parallel/par.lin.alg.bib",
acknowledgement = ack-nhfb,
}
@Article{Tudor:1990:DMH,
author = "David Tudor",
title = "A Deterministic Model for Herpes Infections in Human
and Animal Populations",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "136--139",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "92A15",
MRnumber = "90k:92056",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Armstrong:1990:THI,
author = "Thomas E. Armstrong",
title = "A Theory of Heuristic Information in Game-Tree
Research ({Chun-Hung Tzeng})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "155--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Beale:1990:NEP,
author = "J. Thomas Beale",
title = "{Navier--Stokes} Equations ({Peter Constantin and
Ciprian Foias})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "156--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Bell:1990:ITN,
author = "Jonathan Bell",
title = "Introduction to Theoretical Neurobiology. Volume 1:
Linear Cable Theory and Dendritic Structure. Volume 2:
Nonlinear and Stochastic Theories ({Henry {C}.
Tuckwell})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "158--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Brownell:1990:SMQ,
author = "F. H. Brownell",
title = "Solvable Models in Quantum Mechanics ({S. Albeverio,
F. Gesztesy, R. Hoegh-Krohn, and H. Holden})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "160--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cavaretta:1990:LCA,
author = "Alfred S. Cavaretta",
title = "Lectures on Complex Approximation ({Dieter Gaier;
Renate {McLaughlin}, trans.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "167--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dauer:1990:IAT,
author = "Jerald P. Dauer",
title = "Iterative Aggregation Theory. Mathematical Methods of
Coordinating Detailed and Aggregate Problems in Large
Control Systems ({Lev {M}. Dudkin, Hya Rabinovich, and
Ilya Vakhutinsky})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "168--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Deutsch:1990:NAT,
author = "Frank Deutsch",
title = "Nonlinear Approximation Theory ({Dietrich Braess})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "172--172",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 11:03:01 1997",
acknowledgement = ack-nhfb,
}
@Article{Ellingwood:1990:RRE,
author = "Bruce Ellingwood",
title = "Reliability of Randomly Excited Hysteretic Structures
({B. F. Spencer, Jr.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "172--173",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 11:03:13 1997",
acknowledgement = ack-nhfb,
}
@Article{Fossum:1990:TBE,
author = "A. F. Fossum",
title = "Topics in Boundary Element Research, Volume 4:
Applications in Geomechanics ({C. A. Brebbia, ed.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "173--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gilbert:1990:MCA,
author = "Robert P. Gilbert",
title = "Methods of Complex Analysis in Partial Differential
Equations with Applications ({Manfred Kracht and Erwin
Kreyszig})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "174--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Guttorp:1990:ITP,
author = "Peter Guttorp",
title = "An Introduction to the Theory of Point Processes ({D.
J. Daley and D. Vere-Jones})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "175--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Karni:1990:NPU,
author = "Edi Karni",
title = "Nonlinear Preference and Utility Theory ({Peter {C}.
Fishburn})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "176--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Man:1990:CTW,
author = "Chi-Sing Man",
title = "A Commentary on Thermodynamics ({William Alan Day})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "178--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Norris:1990:ASB,
author = "Andrew N. Norris",
title = "Acoustics of Solids ({A. I. Beltzer})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "180--180",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 11:03:45 1997",
acknowledgement = ack-nhfb,
}
@Article{Picard:1990:NEE,
author = "Rainer H. Picard",
title = "Nonlinear Evolution Equations and Applications
({Gheorghe Morosanu})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "180--182",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 27 11:03:46 1997",
acknowledgement = ack-nhfb,
}
@Article{Reddy:1990:MMP,
author = "B. D. Reddy",
title = "Maximum and Minimum Principles: {A} Unified Approach,
with Applications ({M. J. Sewell})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "182--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ruohonen:1990:NIM,
author = "Matti Ruohonen",
title = "Non-Life Insurance Mathematics ({Erwin Straub})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "184--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Scott:1990:SIP,
author = "Alwyn Scott",
title = "Solitons: An Introduction ({P. G. Drazin and R. S.
Johnson})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "185--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Siegmund:1990:PAP,
author = "David Siegmund",
title = "Probability Approximations via the {Poisson} Clumping
Heuristic ({D. Aldous})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "186--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stenger:1990:RAR,
author = "Frank Stenger",
title = "Rational Approximation of Real Functions ({P. P.
Petrushev and V. I. Popov})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "187--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stuart:1990:CIN,
author = "J. T. Stuart",
title = "Chaos and Integrability in Nonlinear Dynamics: An
Introduction ({Michael Tabor}); {Hamiltonian} System:
Chaos and Quantization ({Alfredo M. Ozorio de
Almeida}); An Introduction to Chaotic Dynamical Systems
({Robert {L} Devaney})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "188--190",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{TaAsan:1990:MSS,
author = "Shlomo Ta'Asan",
title = "Multigrid Solution of the Steady {Euler} Equations
({S. P. Spekreijse})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "190--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Tulovsky:1990:MAN,
author = "Vladimir Tulovsky",
title = "Mathematical Analysis and Numerical Methods for
Science and Technology, Volume 2: Functional and
Variational Methods ({Robert Dautray and Jacques-Louis
Lions; Ian {N}. Sneddon, trans.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "191--??",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wightman:1990:RTP,
author = "Arthur S. Wightman",
title = "{Riemann}, Topology, and Physics ({Michael
Monastyrsky})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "192--192",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ramm:1990:AC,
author = "A. G. Ramm",
title = "Author's Comment",
journal = j-SIAM-REVIEW,
volume = "32",
number = "1",
pages = "192--193",
month = mar,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Smale:1990:SRF,
author = "Steve Smale",
title = "Some Remarks on the Foundations of Numerical
Analysis",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "211--220",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "00A69 (00A30 58C30 65Y10 68Q10 90C05)",
MRnumber = "91k:00007",
MRreviewer = "J. S. Joel",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The problem of increasing the understanding of
algorithms by considering the foundations numerical
analysis and computer science is considered. The schism
between scientific computing and computer science is
discussed from a theoretical perspective. These
theoretical considerations have an chemical importance
when viewing the computer. In particular, the
legitimacy and importance of models machines that
accept real numbers is considered.",
acknowledgement = ack-nhfb,
affiliation = "Univ of California",
affiliationaddress = "Berkeley, CA, USA",
classification = "721; 723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Automata Theory--Turing Machines; Complexity Theory;
Computer Science; Data Processing; Mathematical Models;
Mathematical Techniques--Numerical Methods; Natural
Sciences Applications; Newton's Method;
np-completeness; Numerical Analysis; Probability;
Round-Off Errors",
}
@Article{Anderson:1990:RNG,
author = "Stuart L. Anderson",
title = "Random Number Generators on Vector Supercomputers and
Other Advanced Architectures",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "221--251",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65C10 (65Y05)",
MRnumber = "91g:65015",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper is divided into three parts. The first part
surveys the more common techniques for generating and
testing uniformly distributed random numbers. The
second part considers the efficient generation of
random numbers on vector computers. The third part
discusses the generation and use of random numbers in
multitasking environments (which may include multiple
processor computers).",
acknowledgement = ack-nhfb,
affiliation = "Boeing Computer Services",
affiliationaddress = "Seattle, WA, USA",
classification = "723; 921; 922",
journalabr = "SIAM Rev",
keywords = "Computer Programs; Computers, Supercomputer; Lagged
Fibonacci Generators; Mathematical Statistics;
Mathematical Techniques--Vectors; Multitasking;
Pseudorandom Trees; Random Number Generation; Random
Number Tests; Spectral Test; Vector Supercomputers",
}
@Article{Briggs:1990:FMA,
author = "William L. Briggs and Van Emden Henson",
title = "The {FFT} as a Multigrid Algorithm",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "252--261",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65T20 (65N55)",
MRnumber = "91f:65224",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Apart from the fact that they are both ingenious and
remarkably efficient, there would appear to be little
kinship between fast Fourier transform (FFT) algorithms
and basic multigrid methods. The fast Fourier transform
is a powerful direct method for computing the discrete
Fourier transform (DFT) of a sequence of complex
numbers, whereas multigrid methods are highly refined
iterative methods that can be used to approximate the
solution of systems of equations. However, on closer
examination, there are features of both algorithms that
suggest at least a conceptual similarity. This note is
written in a heuristic spirit and is intended to offer
a motivation for the FFT that allows it to be viewed as
a multigrid process. The outcome of this exercise is
certainly not a more efficient FFT algorithm. But
hopefully, it will serve to demonstrate the way in
which multilevel thinking can be used to interpret
algorithms and it may lead the way to new algorithms.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Colorado at Denver",
affiliationaddress = "Denver, CO, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Decimation-in-Frequency Algorithm; Decimation-in-Time
Algorithm; Discrete Fourier Transforms; Fast Fourier
Transforms; fft Algorithms; Mathematical
Techniques--Algorithms; Mathematical Transformations;
Multigrid Methods",
}
@Article{Levine:1990:RCE,
author = "Howard A. Levine",
title = "The Role of Critical Exponents in Blowup Theorems",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "262--288",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35K55 (35B05)",
MRnumber = "91j:35135",
MRreviewer = "Victor A. Galaktionov",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In this article various extensions of an old result of
Fujita are considered for the initial value problem for
the reaction-diffusion equation $u_t = \Delta u + u^P$
in $R^N$ with $p > 1$ and nonnegative initial values.
Fujita showed that if $1 < p < 1 + 2/N$, then the
initial value problem had no nontrivial global
solutions while if $p > 1 + 2/N$, there were nontrivial
global solutions. This paper discusses similar results
for other geometries and other equations including a
nonlinear wave equation and a nonlinear Schr{\"o}dinger
equation.",
acknowledgement = ack-nhfb,
affiliation = "Iowa State Univ",
affiliationaddress = "Ames, IA, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Blowing Theorems; Critical Exponents; Diffusion;
Global Existence; Global Nonexistence; Hyperbolic
Equations; Mathematical Techniques; Mathematical
Techniques--Boundary Value Problems; Nonlinear
Equations; Schr{\"o}dinger Equations",
}
@Article{Shaffer:1990:MRP,
author = "Dorothy Browne Shaffer",
title = "Maximum range of a projectile in a vacuum revisited",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "289--293",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This note determines the maximum range of a ballistic
missile in a vacuum launched with a given cutoff
velocity and height above the earth. The results are
based on Keplerian laws for elliptical orbits and some
trigonometry. The optimum solution can be characterized
by the condition that the launch angle is chosen, so
that the sum of the launch and impact angles is the
complementary angle to half the angular range on the
earth's surface.",
acknowledgement = ack-nhfb,
affiliation = "Fairfield Univ",
affiliationaddress = "Fairfield, CT, USA",
classification = "654; 931",
journalabr = "SIAM Rev",
keywords = "Ballistic Missile; Ballistics--Projectiles; Keplerian
Ellipse; Launch Angle; Orbits and Trajectories; Rockets
and Missiles; Vacuum Trajectory",
}
@Article{Yanushevsky:1990:PFI,
author = "R. T. Yanushevsky",
title = "Parametric feedback improving control systems
efficiency",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "294--299",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "93B50",
MRnumber = "1 056 056",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A special class of parametric feedback is considered.
This feedback makes the system coordinates move inside
a certain domain. A link between the parametric
feedback under consideration and the one used in
variable-structure systems is discussed.",
acknowledgement = ack-nhfb,
affiliation = "Univ of the District of Columbia",
affiliationaddress = "Washington, DC, USA",
classification = "731; 921",
journalabr = "SIAM Rev",
keywords = "Control Systems, Linear; Control Systems,
Multivariable; Control Systems, Optimal;
Lyapunov-Bellman Function; Mathematical Programming,
Dynamic; Parametric Feedback; Stabilizing Control;
System Stability; Variable-Structure Systems",
}
@Article{Al-Khayyal:1990:CGO,
author = "Faiz {Al-Khayyal}",
title = "Constrained Global Optimization: Algorithms and
Applications ({P. M. Pardalos and J. B. Rosen})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "310--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Bernfeld:1990:DED,
author = "S. R. Bernfeld",
title = "Differential Equations with Discontinuous Righthand
Sides ({A F. Filippov})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "312--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Blair:1990:ICO,
author = "Charles Blair",
title = "Integer and Combinatorial Optimization ({George {L}.
Nemhauser and Lawrence {A}. Wolsey})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "315--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cuvelier:1990:MEF,
author = "C. Cuvelier",
title = "Methodes des elements finis pour les fluides ({O.
Pironneau}); {English} translation: Finite Element
Methods for Fluids ({O. Pironneau})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "315--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Good:1990:FEM,
author = "I. J. Good",
title = "Fractals Everywhere ({Michael Barnsley})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "317--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gustafson:1990:SPN,
author = "Karl Gustafson",
title = "Stochastic Processes in the Neurosciences ({Henry {C}
Tuckwell})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "318--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Hallam:1990:TED,
author = "Thomas G. Hallam",
title = "The Theory of Evolution and Dynamical Systems:
Mathematical Aspects of Selection ({Josef Hofbauer and
Karl Sigmund})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "322--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Keesling:1990:NRE,
author = "James Keesling",
title = "Natural Resource Economics: Notes and Problems ({Jon
{M}. Conrad and Colin {W}. Clark})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "323--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lindquist:1990:LSS,
author = "Anders Lindquist",
title = "Linear Stochastic Systems ({Peter {E}. Caines})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "325--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mayle:1990:HTT,
author = "R. E. Mayle",
title = "Heat Transfer in Turbulent Mixed Convection ({B. S.
Petukhov and A. F. Polyakov; R. Hainsworth and G.
Rybchinskaya, trans.; B. E. Launder, ed., English
edition})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "328--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ramkrishna:1990:PMM,
author = "D. Ramkrishna",
title = "Process Modeling ({Morton {M}. Denn})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "329--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Richter:1990:FTG,
author = "Donald K. Richter",
title = "Foundations of the Theory of General Equilibrium
({Yves Balasko})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "330--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Roxin:1990:OPC,
author = "Emilio O. Roxin",
title = "Optimal Periodic Control ({Fritz Colonius})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "331--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Shubik:1990:SPN,
author = "Martin Shubik",
title = "Stability and Perfection of {Nash} Equilibria ({Eric
van Damme})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "332--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stark:1990:MMI,
author = "Henry Stark",
title = "Morphological Methods in Image and Signal Processing
({Charles {R}. Giardina and Edward {R}. Dougherty})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "333--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Zimmermann:1990:DOR,
author = "Uwe Zimmermann",
title = "Discrete Optimization ({R. Gary Parker and Ronald L.
Rardin})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "2",
pages = "333--??",
month = jun,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cuvelier:1990:SNM,
author = "C. Cuvelier and R. M. S. M. Schulkes",
title = "Some Numerical Methods for the Computation of
Capillary Free Boundaries Governed by the
{Navier--Stokes} Equations",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "355--423",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76M25 (65Nxx 76D05 76D45)",
MRnumber = "91m:76082",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The trial method, Newton's method, and the total
linearization method are applied to a simple
one-dimensional free boundary (FB) problem for which
the solution is known. Attention is focused on
convergence speed and computer implementation
facilities of these methods. Static FB problems in
two-and three-dimensional containers are then
discussed. These FBs are governed by the Laplace-Young
equation. Two stationary FB problems governed by the
Navier--Stokes equations are formulated and these
problems are solved using the above three methods. A
thermocapillary FB problem governed by the
Navier--Stokes equations coupled with the heat equation
is studied. A moving FB problem governed by the
Navier--Stokes equations is considered within the
context of perturbation theory. Finally, some remarks
are made on present and future research in the field of
capillary FB problems governed by the Navier--Stokes
equations.",
acknowledgement = ack-nhfb,
affiliation = "Delft Univ of Technology",
affiliationaddress = "Delft, Neth",
classification = "631; 921",
journalabr = "SIAM Rev",
keywords = "Capillary Free Boundaries; Finite Element Method; Flow
of Fluids; Mathematical Techniques--Numerical Methods;
Navier--Stokes Equations; Newton's Method; Theory;
Total Linearization Method",
}
@Article{Kirchgraber:1990:CBS,
author = "U. Kirchgraber and D. Stoffer",
title = "Chaotic Behaviour in Simple Dynamical Systems",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "424--452",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "58F15 (58F13)",
MRnumber = "91e:58141",
MRreviewer = "Mariusz Urba{\'n}ski",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A description is given of the chaotic behavior
generated by a transversal homoclinic point of a plane
map. A proof of Smale's theorem via the shadowing
property of hyperbolic sets is provided. The result is
related to certain plane periodic systems of ODE's like
the periodically perturbed pendulum equation. To this
end the so-called method of Melnikov is derived.",
acknowledgement = ack-nhfb,
affiliation = "ETH Swiss Federal Inst of Technology",
affiliationaddress = "Zurich, Switz",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Chaos Theory; Dynamical Systems; Mathematical
Techniques--Differential Equations; Melnikov Formula;
Shadowing Lemma; Smale Theorem",
}
@Article{Tuck:1990:NAS,
author = "E. O. Tuck and L. W. Schwartz",
title = "A Numerical and Asymptotic Study of Some Third-Order
Ordinary Differential Equations Relevant to Draining
and Coating Flows",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "453--469",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76D99 (34E05 65L99 76D30 76D45 76M99)",
MRnumber = "91f:76024",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Some draining or coating fluid-flow problems, in which
surface tension forces are important, can be described
by third-order ordinary differential equations.
Accurate computations are provided here for examples
such as $y\PRM\PRM\PRM(x) = -1 + 1/y^2$ that permit the
boundary condition $y \rightarrow 1$ as $x \rightarrow
-\infty$, so modelling a layer of fluid that is
asymptotically uniform behind the draining front. The
ultimate fate of the solution as x increases is studied
for the above example, and for a generalisation
involving a small parameter $\delta$ such that this
example is recovered in the limit as $\delta
\rightarrow 0$, but which is such that $y \rightarrow
\delta$ as $x \rightarrow +\infty$, so modelling
draining over an already-wet surface. Matched
asymptotic expansions are then used to derive limiting
results for small $\delta$, this being a singular
perturbation since the problem with $\delta{} = 0$ does
not permit $y = 0$. The physical basis for this
singularity is the well-known impossibility of moving a
contact line over a dry nonslip surface. Other
modifications that avoid the singularity by allowing
slip are also discussed.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Delaware",
affiliationaddress = "Newark, DE, USA",
classification = "631; 921",
journalabr = "SIAM Rev",
keywords = "Coating Flows; Draining Systems; Flow of Fluids;
Mathematical Techniques--Differential Equations;
Nonlinear Equations; Theory",
}
@Article{Piegorsch:1990:EIS,
author = "Walter W. Piegorsch and George Casella",
title = "Erratum. Inverting a sum of matrices: {``The early use
of matrix diagonal increments in statistical
problems''} [{SIAM} Rev. {\bf 31} ({1989}), no. 3,
428--434 and {MR} 90g:65044]",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "470--470",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (01A60 65U05)",
MRnumber = "1 069 898",
bibdate = "Fri Oct 27 14:55:27 2000",
note = "See \cite{Piegorsch:1989:EUM}.",
acknowledgement = ack-nhfb,
}
@Article{Richardson:1990:HTS,
author = "S. Richardson",
title = "How not to tackle some singular perturbation
problems",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "471--473",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "34E15 (34B10 34D15 41A60 76D30)",
MRnumber = "91g:34025",
MRreviewer = "S. H. Lam",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A tempting procedure for dealing with some singular
perturbation problems on an unbounded domain is to
begin by solving an equivalent problem on a bounded
domain, then compute the quantities of physical
interest, and finally take a limit so that the bounded
domain becomes unbounded. It is shown that this can
lead to incorrect results. Problems of this type arise
in fluid mechanics.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Edinburgh",
affiliationaddress = "Edinburgh, Scotl",
classification = "631; 921",
journalabr = "SIAM Rev",
keywords = "Flow of Fluids; Low Reynolds Number Flow; Mathematical
Techniques; Perturbation Techniques; Singular
Perturbation Problems",
}
@Article{Flury:1990:ARS,
author = "Bernard D. Flury",
title = "Acceptance-rejection sampling made easy",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "474--476",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65C05",
MRnumber = "91i:65007",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "A simple proof, consisting of three lemmas, is given
for the acceptance-rejection method in Monte Carlo
sampling from a density f. The proof is valid for
random variables in general dimension, for bounded as
well as for unbounded support, and it is not affected
by discontinuities or infinite peaks of f.",
acknowledgement = ack-nhfb,
affiliation = "Indiana Univ",
affiliationaddress = "Bloomington, IN, USA",
classification = "723; 922",
journalabr = "SIAM Rev",
keywords = "Acceptance-Rejection Sampling; Computer Simulation;
Mathematical Statistics--Monte Carlo Methods; Random
Variable Generation; Sampling; Stochastic Simulation",
}
@Article{Alexander:1990:SOD,
author = "Roger Alexander",
title = "Solving Ordinary Differential Equations {I}: Nonstiff
Problems ({E. Hairer, S. P. Norsett, and G. Wanner})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "485--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Antman:1990:DMS,
author = "Stuart S. Antman",
title = "Dynamics of Multibody Systems ({R. E. Roberson and R.
Schwertassek})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "486--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Bell:1990:MBJ,
author = "Jonathan G. Bell",
title = "Mathematical Biology ({J. D. Murray})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "487--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Boyd:1990:INA,
author = "John P. Boyd",
title = "An Introduction to the Numerical Analysis of Spectral
Methods ({Bertrand Mercier})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "489--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Bryant:1990:ECP,
author = "Peter J. Bryant",
title = "From Equilibrium to Chaos: Practical Bifurcation and
Stability Analysis ({Rudiger Seydel})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "490--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Chicone:1990:IAT,
author = "Carmen Chicone",
title = "Introduction to the Algebraic Theory of Invariants of
Differential Equations ({K. S. Sibirsky})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "491--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Chui:1990:ECD,
author = "Charles K. Chui and Guanrong Chen",
title = "Estimation, Control, and the Discrete {Kalman} Filter
({Donald {E} Catlin})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "493--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cohen:1990:PSC,
author = "Joel E. Cohen",
title = "Population System Control ({Jian Song and Jingyuan
Yu})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "494--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Datta:1990:WPS,
author = "Subhendu K. Datta",
title = "Wave Propagation in Solids and Fluids ({J. L.
Davis})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "500--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Devaney:1990:PNA,
author = "Robert L. Devaney",
title = "Practical Numerical Algorithms for Chaotic Systems
({T. S. Parker and L. O. Chua})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "501--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dontchev:1990:OIS,
author = "Asen L. Dontchev",
title = "Optimization and Identification of Systems Governed by
Evolution Equations on {Banach} Space ({N. U. Ahmed})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "503--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fleming:1990:OCD,
author = "Wendell H. Fleming",
title = "Optimal Control of Diffusion Processes ({Vivek {S}.
Borkar})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "503--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Hamacher:1990:TCA,
author = "Horst W. Hamacher",
title = "Theoretical and Computational Aspects of Simulated
Annealing ({P}. {J}. {M}. van Laarhoven); Simulated
Annealing: Theory and Applications ({P. J. M. van
Laarhoven and E. H. L. Aarts})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "504--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kapila:1990:MIP,
author = "A. K. Kapila",
title = "Mathematics in Industrial Problems and Mathematics in
Industrial Problems, Part 2 ({Avner Friedman})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "506--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kapila:1990:DCF,
author = "A. K. Kapila",
title = "Dynamics of Curved Fronts ({Pierre Pelce})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "507--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kelman:1990:TDC,
author = "Robert B. Kelman",
title = "Theory of Discrete and Continuous {Fourier} Analysis
({H. Joseph Weaver})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "507--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kelton:1990:PRV,
author = "W. David Kelton",
title = "Principles of Random Variate Generation ({John
Dagpunar})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "508--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kirkpatrick:1990:CES,
author = "T. R. Kirkpatrick",
title = "Classical Equilibrium Statistical Mechanics ({Colin
{J} Thompson})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "511--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Latta:1990:HDE,
author = "Gordon Latta",
title = "Handbook of Differential Equations ({Daniel
Zwilliger})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "511--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Malkus:1990:FEM,
author = "David S. Malkus",
title = "Finite Element Methods ({H. R. Schwarz; J. R.
Whiteman, ed., Caroline M. Whiteman, trans.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "512--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mangel:1990:IMP,
author = "Marc Mangel",
title = "An Introduction to Mathematical Physiology and Biology
({J Mazumdar})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "513--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Milton:1990:BDS,
author = "John G. Milton",
title = "Biological Delay Systems: Linear Stability Theory ({N
MacDonald})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "514--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Nitecki:1990:NOS,
author = "Zbigniew Nitecki",
title = "Non-Linear Oscillations, second edition ({Peter
Hagedorn; Wolfram Stadler, trans. and ed.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "516--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Olver:1990:SDE,
author = "Peter J. Olver",
title = "Symmetries and Differential Equations ({G. W. Bluman
and S. Kumei})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "517--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Parker:1990:NEE,
author = "D. F. Parker",
title = "Nonlinear Evolution Equations ({J. K. Engelbrecht, V.
E. Fridman, and E. N. Pelinovski})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "519--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Weitzner:1990:INF,
author = "Harold Weitzner",
title = "Introduction to Nonlinear Fluid-Plasma Waves ({Bhimsen
K. Shivamoggi})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "520--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Wittke:1990:UAZ,
author = "P. H. Wittke",
title = "A Unified Approach to Zero-Crossings and Nonuniform
Sampling: Of Single and Multidimensional Signals and
Systems ({Farokh {A}. Marvasti})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "3",
pages = "521--??",
month = sep,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lazer:1990:LAP,
author = "A. C. Lazer and P. J. McKenna",
title = "Large-Amplitude Periodic Oscillations in Suspension
Bridges: Some New Connections with Nonlinear Analysis",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "537--578",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "73K12 (34B15 34C15 35B10 47H15 73D35 73K05)",
MRnumber = "92g:73059",
MRreviewer = "G. V. Khmelevskaya-Plotnikova",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper surveys an area of nonlinear functional
analysis and its applications. The main application is
to the existence and multiplicity of periodic solutions
of a possible mathematical models of nonlinearly
supported bending beams, and their possible application
to nonlinear behavior as observed in large-amplitude
flexings in suspension bridges. A second area, periodic
flexings in a floating beam, also nonlinearly
supported, is covered at the end of the paper.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Miami",
affiliationaddress = "Coral Gables, FL, USA",
classification = "401; 408; 921",
journalabr = "SIAM Rev",
keywords = "Beams and Girders --- Bending; Bridges, Suspension;
Mathematical Models; Nonlinear Oscillations;
Oscillations; Periodic Oscillations",
}
@Article{Stewart:1990:SPT,
author = "G. W. Stewart",
title = "Stochastic Perturbation Theory",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "579--610",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "15A06 (15A09 15A12 15A18 15A52 15A60)",
MRnumber = "91m:15007",
MRreviewer = "James Weldon Demmel",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In this paper classical matrix perturbation theory is
approached from a probabilistic point of view. The
perturbed quantity is approximated by a first-order
perturbation expansion, in which the perturbation is
assumed to be random. This permits the computation of
statistics estimating the variation in the perturbed
quantity. Up to the higher-order terms that are ignored
in the expansion, these statistics tend to be more
realistic than perturbation bounds obtained in terms of
norms. The technique is applied to a number of problems
in matrix perturbation theory, including least squares
and the eigenvalue problem.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Maryland",
affiliationaddress = "College Park, MD, USA",
classification = "921; 922",
journalabr = "SIAM Rev",
keywords = "Mathematical Techniques; Perturbation Techniques;
Probability --- Random Processes; Stochastic
Perturbation Theory",
}
@Article{Dax:1990:CLS,
author = "Achiya Dax",
title = "The Convergence of Linear Stationary Iterative
Processes for Solving Singular Unstructured Systems of
Linear Equations",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "611--635",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "65F10 (65-02 65K99)",
MRnumber = "92a:65100",
MRreviewer = "Hans-J{\"u}rgen Albrand",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper reviews the convergence properties of
linear stationary iterative processes for solving large
unstructured systems of linear equations. Special
attention is given to the case where the system to be
solved is singular and possibly inconsistent. The
developed theory reveals interesting properties of the
`basic' iterative methods. Iterative methods for
solving a general linear system, Ax = b, where A is
large, sparse, and unstructured are discussed.",
acknowledgement = ack-nhfb,
affiliation = "Hydrological Service",
affiliationaddress = "Jerusalem, Isr",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Convergence; Iterative Methods; Linear Systems of
Equations; Mathematical Techniques; Relaxation
Methods",
}
@Article{Jeffries:1990:CRN,
author = "Clark Jeffries",
title = "Code Recognition with Neural Network Dynamical
Systems",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "636--651",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "68T20 (68T10 92B20 94B05)",
MRnumber = "92e:68175",
MRreviewer = "F. Ventriglia",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In the context of this paper, neural network models
are dynamical systems that simulate memory retrieval.
The time evolution of a trajectory of such a system is
mathematical recognition, meaning convergence to one of
several attractors referred to as mathematical
memories. The attractors in this paper are prespecified
constant trajectories or limit cycles. Thus
mathematical recognition amounts to regarding an input
binomial $n$-string with components $\pm 1$ as an
initial state of a trajectory, and observing the
subsequent convergence of that trajectory to one of the
memories. A model with such dynamics is said to have
content-addressable memory because partial knowledge of
a memory leads to complete retrieval of the memory
through system dynamics. Most of this article is
devoted to describing the memory model. It is shown
that these neural networks can be used to solve a
variety of finite choice problems including the problem
of correcting binary code.",
acknowledgement = ack-nhfb,
affiliation = "Clemson Univ",
affiliationaddress = "Clemson, SC, USA",
classification = "723",
journalabr = "SIAM Rev",
keywords = "Code Recognition; Codes, Symbolic --- Error
Correction; Content Addressable Memories; Neural
Networks",
}
@Article{Kelly:1990:NPC,
author = "S. Graham Kelly",
title = "Nonlinear phenomena in a column of liquid in a
rotating manometer",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "652--659",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The stationary configuration of a column of liquid in
a U-tube manometer rotating about an axis other than
its axis of symmetry is predicted using a pressure
distribution derived from Euler's equation and from the
governing differential equation of motion. Nonlinear
behavior is evident in that the stationary position of
the liquid air interface will `jump' at critical values
of the speed of rotation. A hysteresis effect is
predicted in that the `jump' occurs at a different
speed if the speed is being decreased rather than
increased. Analysis defines regions of stable and
unstable stationary positions.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Akron",
affiliationaddress = "Akron, OH, USA",
classification = "631; 921; 931; 944",
journalabr = "SIAM Rev",
keywords = "Euler's Equations; Hydrodynamics; Hysteresis;
Manometers; Mathematical Techniques --- Nonlinear
Equations; Pressure Distribution; Pressure Effects ---
Calculations",
}
@Article{Bernard:1990:CDT,
author = "Peter S. Bernard",
title = "Convective diffusion in two-dimensional incompressible
linear flow",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "660--666",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76R50",
MRnumber = "91j:76063",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "An exact solution for the Green's function governing
convective diffusion in two-dimensional, linear,
incompressible flow is computed by elementary means.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Maryland",
affiliationaddress = "College Park, MD, USA",
classification = "631; 641; 921",
journalabr = "SIAM Rev",
keywords = "Convective Diffusion; Diffusion; Flow of Fluids;
Green's Function; Heat Transfer --- Convection;
Incompressible Flow; Mathematical Techniques ---
Differential Equations",
}
@Article{Angus:1990:GPF,
author = "John E. Angus",
title = "Generalization of the {``universal pivot function''}
and its use in constructing confidence intervals and
sets",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "667--670",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "62F25",
MRnumber = "91j:62038",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "This paper gives a general method of constructing
confidence intervals or sets for a real parameter
\theta based on a slight generalization of the usual
`pivot function' approach taken in undergraduate
statistics courses. The method is generally applicable
and leads to the usual confidence intervals for the
standard problems.",
acknowledgement = ack-nhfb,
affiliation = "Claremont Graduate Sch",
affiliationaddress = "Claremont, CA, USA",
classification = "901; 922",
journalabr = "SIAM Rev",
keywords = "Confidence Intervals; Education; Statistical
Inference; Statistical Methods; Statistics Courses",
}
@Article{Deakin:1990:AFE,
author = "Michael A. B. Deakin",
title = "Addendum: {``Stokes flow: an elementary treatment''}
[{SIAM} Rev. {\bf 31} ({1989}), no. 4, 667--670 and
{MR} 90k:76043]",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "671--671",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "76D07",
MRnumber = "1 084 576",
bibdate = "Mon Jan 20 09:20:15 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Borwein:1990:GCM,
author = "Jonathan Borwein",
title = "Generalized Concavity ({Mordecai Avriel, Walter {E}.
Diewert, Siegfried Schaible, and Israel Zang})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "689--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Demmel:1990:MCG,
author = "James W. Demmel",
title = "Matrix Computations ({Gene Golub and Charles {F}. Van
Loan})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "690--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dijkstra:1990:LFM,
author = "Hendrik A. Dijkstra",
title = "Low-Gravity Fluid Mechanics: Mathematical Theory of
Capillary Phenomena ({A. D. Myshkis, V. G. Babskii, N.
D. Kopachevskii, L. A. Slobozhanin, and A. D. Tyuptsov;
R. S. Wadhwa, trans.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "691--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Durrett:1990:PGG,
author = "Richard T. Durrett",
title = "Percolation ({Geoffrey Grimmett})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "693--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Eden:1990:VCC,
author = "Alp Eden",
title = "Vibration and Coupling of Continuous Systems:
Asymptotic Methods ({Jacqueline Sanchez Hubert and
Enrique Sanchez Palencia})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "693--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Feliachi:1990:CPD,
author = "Ali Feliachi",
title = "Control of Partially-Known Dynamical Systems ({A. A.
Bahnasawi and M. S. Mahmoud})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "694--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Haug:1990:VPC,
author = "Edward J. Haug",
title = "Variational Principles of Continuum Mechanics with
Engineering Applications. Volume 2: Introduction to
Optimal Design Theory ({Vadim Komkov})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "696--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Holz:1990:CHI,
author = "K.-Peter Holz",
title = "Computational Hydraulics: An Introduction ({Cornelis
{B} Vreugdenhil})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "697--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kazarinoff:1990:EDD,
author = "Nicholas D. Kazarinoff",
title = "Elements of Differentiable Dynamics and Bifurcation
Theory ({David Ruelle})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "698--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Klamkin:1990:PJB,
author = "M. S. Klamkin",
title = "Polynomials ({E. J. Barbeau})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "699--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Nash:1990:INL,
author = "John C. Nash",
title = "Introduction to Numerical Linear Algebra and
Optimisation ({Philippe {G}. Ciarlet with Bernadette
Miara and Jean-Marie Thomas; {A}. Buttigieg, trans.})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "700--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Pao:1990:FPR,
author = "Yoh-Han Pao",
title = "Fundamentals of Pattern Recognition ({Monique
Pavel})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "702--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Pitman:1990:ASS,
author = "E. Bruce Pitman",
title = "Analysis of Skeletal Structural Systems in the Elastic
and Elastic-Plastic Range ({Adam Borkowski})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "702--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ponce:1990:IVP,
author = "Gustavo Ponce",
title = "Initial-Boundary Value Problems and the
{Navier--Stokes} Equations ({Heinz-Otto Kreiss and Jens
Lorenz})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "703--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Rademacher:1990:PRI,
author = "F. J. Rademacher",
title = "Probabilistic Reasoning in Intelligent Systems:
Networks of Plausible Inference ({Judea Pearl})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "704--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Russell:1990:CDT,
author = "R. D. Russell",
title = "Continuous Decoupling Transformations for Linear
Boundary Value Problems ({P. M. van Loon})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "707--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Sezer:1990:LSS,
author = "M. Erol Sezer",
title = "Large Scale Systems: Decentralization, Structure
Constraints and Fixed Modes ({L. Trave, A. Titli, and
A. Tarras})",
journal = j-SIAM-REVIEW,
volume = "32",
number = "4",
pages = "708--??",
month = dec,
year = "1990",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gill:1991:ICM,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H.
Wright",
title = "Inertia-Controlling Methods for General Quadratic
Programming",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "1--36",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C20 (65K05)",
MRnumber = "92b:90162",
MRreviewer = "Joachim K{\"a}schel",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Active-set quadratic programming (QP) methods use a
working set to define the search direction and
multiplier estimates. In the method proposed by
Fletcher in 1971, and in several subsequent
mathematically equivalent methods, the working set is
chosen to control the inertia of the reduced Hessian,
which is never permitted to have more than one
nonpositive eigenvalue. (Such methods will be called
inertia-controlling.) This paper presents an overview
of a generic inertia-controlling QP method, including
the equations satisfied by the search direction when
the reduced Hessian is positive definite, singular and
indefinite. Recurrence relations are derived that
define the search direction and Lagrange multiplier
vector through equations related to the
Karush-Kuhn-Tucker system. Discussion is included of
connections with inertia-controlling methods that
maintain an explicit factorization of the reduced
Hessian matrix.",
acknowledgement = ack-nhfb,
affiliation = "Univ of California",
affiliationaddress = "San Diego, CA, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Inertia Controlling Methods; Lagrange Multipliers;
Mathematical Programming, Nonlinear; Mathematical
Techniques --- Matrix Algebra; Minimization;
Optimization; Quadratic Programming; Recurrence
Relations; Reduced Hessian Matrix",
}
@Article{Peterson:1991:SNM,
author = "Ivars Peterson",
title = "Searching for New Mathematics",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "37--42",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "00A35 (00A69 00A71)",
MRnumber = "1 095 242",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Nonmathematicians interested in keeping up with
contemporary mathematical research face daunting
obstacles. The high level of abstraction,
unenlightening notation, and the format of journal
papers all conspire to make any foray into the
mathematical literature frustrating and unrewarding.
Mathematicians can do more to make their research
accessible to a wider audience.",
acknowledgement = ack-nhfb,
affiliation = "Science News",
affiliationaddress = "Washington, DC, USA",
classification = "903; 921",
journalabr = "SIAM Rev",
keywords = "Contemporary Mathematics Research; Information
Dissemination --- Publishing; Journal Papers;
Mathematical Techniques; Mathematics Papers; Research",
}
@Article{Driessen:1991:SCP,
author = "Theo S. H. Driessen",
title = "A Survey of Consistency Properties in Cooperative Game
Theory",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "43--59",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90D12 (90D06)",
MRnumber = "92c:90133",
MRreviewer = "Tadeusz Radzik",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "The main purpose of this survey paper is to review the
axiomatic characterizations of the Shapley value, the
prekernel, the prenucleolus, and the core by means of a
consistency property in terms of the reduced games. Six
related theorems that are scattered through the
mathematics literature are thus unified. Whenever
possible, new results and new proofs are added.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Twente",
affiliationaddress = "Enschede, Neth",
classification = "922",
journalabr = "SIAM Rev",
keywords = "Characteristic Function Form; Consistency Properties;
Cooperative Game Theory; Game Theory; Prekernel;
Probability; Reduced Games; Shapley Value",
}
@Article{Padberg:1991:BCA,
author = "Manfred Padberg and Giovanni Rinaldi",
title = "A Branch-and-Cut Algorithm for the Resolution of
Large-Scale Symmetric Traveling Salesman Problems",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "60--100",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "90C10",
MRnumber = "92a:90041",
MRreviewer = "P. F. K{\"o}rner",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "An algorithm is described for solving large-scale
instances of the Symmetric Traveling Salesman Problem
(STSP) to optimality. The core of the algorithm is a
`polyhedral' cutting-plane procedure that exploits a
subset of the system of linear inequalities defining
the convex hull of the incidence vectors of the
Hamiltonian cycles of a complete graph. The cuts are
generated by several identification procedures that
have been described in a companion paper. Whenever the
cutting-plane procedure does not terminate with an
optimal solution the algorithm uses a tree-search
strategy that, as opposed to branch-and-bound, keeps on
producing cuts after branching. The algorithm has been
implemented in FORTRAN. Two different linear
programming (LP) packages have been used as the LP
solver. The implementation of the algorithm and the
interface with one of the LP solvers is described in
sufficient detail to permit the replication of our
experiments. Computational results are reported with up
to 42 STSPs with sizes ranging from 48 to 2,392 nodes.
Most of the medium-sized test problems are taken from
the literature; all others are large-scale real-world
problems. All of the instances considered in this study
were solved to optimality by the algorithm in
`reasonable' computation times.",
acknowledgement = ack-nhfb,
affiliation = "New York Univ",
affiliationaddress = "New York, NY, USA",
classification = "723; 921",
journalabr = "SIAM Rev",
keywords = "Branch and Cut Algorithm; Computer Programming ---
Algorithms; Computer Programming Languages --- fortran;
Cutting Plane Algorithms; Data Processing --- Data
Structures; Hamiltonian Cycles; Heuristic Methods;
Mathematical Programming, Linear; Mathematical
Techniques --- Graph Theory; Optimization; Traveling
Salesman Problem; Tree Search",
}
@Article{Kreith:1991:EHG,
author = "Kurt Kreith",
title = "Establishing hyperbolic {Green}'s functions via
{Leibniz}'s rule",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "101--105",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "35L05 (35L20)",
MRnumber = "1 095 245",
bibdate = "Fri Oct 27 15:25:26 2000",
bibsource = "Compendex database",
abstract = "Techniques from the theory of ordinary differential
equations are used to characterize fundamental
singularities for the wave equation. These lead not
only to familiar examples such as the Riemann function,
but also to symmetric singularities corresponding to
self-adjoint boundary value problems.",
acknowledgement = ack-nhfb,
affiliation = "Univ of California",
affiliationaddress = "Davis, CA, USA",
classification = "921",
journalabr = "SIAM Rev",
keywords = "Differential Equations; Green's Functions; Hyperbolic
Green's Functions; Leibnitz's Rule; Mathematical
Techniques; Riemann Function; Self-Adjoint Boundary
Value Problems; Wave Equations; Waves",
}
@Article{Huestis:1991:SCO,
author = "Stephen P. Huestis",
title = "Some comments on the optimization problem for shear
stress magnitude",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "106--108",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "73C05 (73K40)",
MRnumber = "91k:73028",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "Directions of maximum and minimum shear stress
magnitude at a point can be found as solutions to a
Lagrange multiplier problem. All three principal shear
directions are solutions to the optimization, but only
the largest principal shear occurs at a local maximum.
The other two principal shears correspond to saddle
points for shear stress magnitude. These spurious
solutions do not arise if the problem is recast as a
Kuhn-Tucker optimization for inequality, rather than
equality, constraints.",
acknowledgement = ack-nhfb,
affiliation = "Univ of New Mexico",
affiliationaddress = "Albuquerque, NM, USA",
classification = "921; 931",
journalabr = "SIAM Rev",
keywords = "Constrained Optimization; Inequality Constraints;
Lagrange Multipliers; Optimization; Principal Shear
Directions; Saddle Points; Shear Stress Magnitude;
Stresses",
}
@Article{MacBain:1991:SIR,
author = "John MacBain and Bruce Secrest",
title = "Source identification in remote sensing problems",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "109--113",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
MRclass = "86A20 (35L05 35R30)",
MRnumber = "91m:86009",
bibdate = "Mon Jan 20 10:31:25 MST 1997",
bibsource = "Compendex database",
abstract = "In remote sensing problems where a wavefield
encounters a scattering body, the source wavelet can be
extracted by calculating surface integrals which
involve the incident or scattered wavefield. No
knowledge of the scattering body is required. The
general formulas require the field and its normal
derivative; however, some geometries require only the
field. The application of the technique to the acoustic
marine seismic problem is explored. This paper
demonstrates a problem of interest in hydrocarbon
exploration where one observes the `solution' of a PDE
and must reconstruct the source.",
acknowledgement = ack-nhfb,
affiliation = "BP Exploration",
affiliationaddress = "Houston, TX, USA",
classification = "405; 471; 484; 512; 751; 921",
journalabr = "SIAM Rev",
keywords = "Acoustic Waves --- Scattering; Acoustic Well Logging;
Inverse Problems; Marine Seismic Problem; Mathematical
Techniques --- Differential Equations; Oceanography ---
Remote Sensing; Partial Differential Equations;
Petroleum Prospecting --- Remote Sensing; Remote
Sensing; Seismic Waves --- Scattering; Source
Identification; Theory; Well Logging",
}
@Article{Ames:1991:RPI,
author = "W. F. Ames",
title = "The {Riemann} Problem and Interaction of Waves in Gas
Dynamics ({Tung Chang and Ling Hsiao})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "129--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Baker:1991:FEM,
author = "A. J. Baker",
title = "Finite Element Methods for Viscous Incompressible
Flows: {A} Guide to Theory, Practice, and Algorithms
({Max {D}. Gunzburger})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "129--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Berger:1991:MAN,
author = "M. S. Berger",
title = "Mathematical Analysis of Nonlinear Dynamic Processes:
An Introduction to Processes Governed by Partial
Differential Equations ({K. -U. Grusa})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "131--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Campbell:1991:IDS,
author = "L. L. Campbell",
title = "An Introduction to Digital Signal Processing ({John
{H}. Karl})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "131--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Canfield:1991:CSM,
author = "E. Rodney Canfield",
title = "Combinatorial Search ({Martin Aigner})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "132--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Chen:1991:NSO,
author = "Guanrong Chen",
title = "Numerical Solution of Optimal Control Problems with
State Constraints by Sequential Quadratic Programming
in Function Spaces ({K. C. P. Machielsen})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "133--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cole:1991:PDE,
author = "Susan Cole",
title = "Partial Differential Equations: Analytical Solution
Techniques ({J. Kevorkian})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "135--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Cumberbatch:1991:MMC,
author = "Ellis Cumberbatch",
title = "Mathematical Modelling: {A} Case Study Approach ({R.
R. Clements})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "136--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Dancer:1991:ESB,
author = "E. N. Dancer",
title = "Elementary Stability and Bifurcation Theory ({Gerard
Loos and Daniel D. Joseph})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "136--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Davis:1991:AMC,
author = "Davis and Paul",
title = "Applied Mathematics: {A} Contemporary Approach ({J.
David Logan})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "137--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Edelstein-Keshet:1991:MMM,
author = "Leah Edelstein-Keshet",
title = "Mathematical Methods and Models in the Biological
Sciences ({Martin Eisen})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "139--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Elsworth:1991:SAU,
author = "Derek Elsworth",
title = "Slope Analysis Using Boundary Elements ({Y. S.
Jiang})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "141--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Goodwin:1991:SOC,
author = "G. C. Goodwin",
title = "Stochastic Optimal Control Theory with Application in
Self-Tuning Control ({K. J. Hunt})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "142--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Gupta:1991:NMS,
author = "Murli M. Gupta",
title = "Numerical Methods and Software ({David Kahaner, Cleve
Moler, and Stephen Nash})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "144--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Hannsgen:1991:RDS,
author = "Kenneth B. Hannsgen",
title = "Retarded Dynamical Systems: Stability and
Characteristics Functions ({G. Stepan})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "147--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Johnson:1991:NSO,
author = "John L. Johnson",
title = "Numerical Simulation and Optimal Control in Plasma
Physics: With Applications to Tokamaks ({Jacques
Blum})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "147--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Kenkel:1991:MME,
author = "N. C. Kenkel",
title = "Mathematical Modeling in Ecology: {A} Workbook for
Students ({Clark Jeffries})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "150--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Lewis:1991:SCS,
author = "F. L. Lewis",
title = "Singular Control Systems ({L. Dai})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "151--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mawhin:1991:SAN,
author = "Jean Mawhin",
title = "Stability Analysis of Nonlinear Systems ({V.
Lakshmikantham, S. Leela, and A. A. Martynyuk})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "152--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{McCall:1991:MBA,
author = "Brian P. McCall",
title = "Multi-Armed Bandit Allocation Indices ({J. C.
Gittins})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "154--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Milton:1991:DPF,
author = "John G. Milton",
title = "Depth Perception in Frogs and Toads: {A} Study in
Neural Computing ({Donald House})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "155--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mortensen:1991:IDS,
author = "Richard E. Mortensen",
title = "Infinite-Dimensional Dynamical Systems in Mechanics
and Physics ({Roger Temam})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "156--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Mroz:1991:SDO,
author = "Zenon Mroz",
title = "Structural Design Via Optimality Criteria: The Prager
Approach to Structural Optimization ({George {I}. {N}.
Rozvany})",
journal = j-SIAM-REVIEW,
volume = "33",
number = "1",
pages = "158--??",
month = mar,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Ockendon:1991:NCH,
author = "J. R. Ockendon",
title = "Nonequilibrium Condensation in High-Speed Gas Flows
({Yuri {A} Ryzhov, U