%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.36", %%% date = "07 March 2013", %%% time = "09:53:06 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 = "53611 47147 181213 1799242", %%% 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://epubs.siam.org/sirev/ %%% http://www.siam.org/journals/sirev.php %%% %%% 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 2.36, the year coverage looked %%% like this: %%% %%% 1959 ( 3) 1978 ( 12) 1997 ( 136) %%% 1960 ( 3) 1979 ( 22) 1998 ( 94) %%% 1961 ( 8) 1980 ( 20) 1999 ( 50) %%% 1962 ( 5) 1981 ( 19) 2000 ( 46) %%% 1963 ( 3) 1982 ( 19) 2001 ( 43) %%% 1964 ( 7) 1983 ( 19) 2002 ( 40) %%% 1965 ( 4) 1984 ( 22) 2003 ( 44) %%% 1966 ( 5) 1985 ( 13) 2004 ( 48) %%% 1967 ( 8) 1986 ( 20) 2005 ( 44) %%% 1968 ( 6) 1987 ( 18) 2006 ( 27) %%% 1969 ( 6) 1988 ( 35) 2007 ( 29) %%% 1970 ( 10) 1989 ( 33) 2008 ( 28) %%% 1971 ( 5) 1990 ( 109) 2009 ( 29) %%% 1972 ( 5) 1991 ( 128) 2010 ( 34) %%% 1973 ( 8) 1992 ( 108) 2011 ( 45) %%% 1974 ( 6) 1993 ( 130) 2012 ( 40) %%% 1975 ( 4) 1994 ( 130) 2013 ( 12) %%% 1976 ( 7) 1995 ( 120) %%% 1977 ( 7) 1996 ( 118) %%% %%% Article: 1994 %%% %%% Total entries: 1994 %%% %%% 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 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 \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\ifx \cyr \undefined \let \cyr = \relax \fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} @String{ack-sf = "Stefano Foresti, Utah Supercomputing Institute, University of Utah, Salt Lake City, UT 84112, USA, Tel: +1 801 581 3173, FAX: +1 801 585 5366, e-mail: \path|stefano@osiris.usi.utah.edu|"} %%% ==================================================================== %%% Journal abbreviations: @String{j-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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRBa, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling}} (Ingram Olkin, Sudhist G. Ghurye, Wassily Hoeffding, William G. Madow, and Henry B. Mann, eds.)}", journal = j-SIAM-REVIEW, volume = "3", number = "1", pages = "80--80", month = jan, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v3/i1/p80/s1; http://www.jstor.org/stable/2027260; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRBb, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{Mathematical Methods in the Social Sciences, 1959, Proceedings of the First Stanford Symposium}}, by Kenneth J. Arrow, Samuel Karlin, Patrick Suppes}", journal = j-SIAM-REVIEW, volume = "3", number = "1", pages = "80--81", month = jan, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2027261", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRBc, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{Information and Decision Processes}} (Robert E. Machol, ed.)}", journal = j-SIAM-REVIEW, volume = "3", pages = "182--??", year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v3/i2/p182/s1", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRBd, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{Information and Decision Processes}}. by Robert E. Machol}", journal = j-SIAM-REVIEW, volume = "3", number = "2", pages = "182--183", month = apr, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2027402", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1961:BRBe, author = "Beno{\^\i}t Mandelbrot", title = "Book Review: {{\booktitle{La Theorie Physique au Sens de Boltzmann}} (Ren{\'e} Dugas)}. ({French}) [{{\booktitle{The Physical Theory According to Boltzmann}} (Ren{\'e} Dugas)}]", journal = j-SIAM-REVIEW, volume = "3", number = "2", pages = "183--184", month = apr, year = "1961", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Sep 8 17:52:00 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v3/i2/p183/s1; http://www.jstor.org/stable/2027403", acknowledgement = ack-nhfb, fjournal = "SIAM Review", language = "French", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "A remark on a previous paper, SIAM Review 4, 147 (1962).", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Spanier:1962:UAM, author = "J. Spanier", title = "A unified approach to {Monte Carlo} methods and an application to a multigroup calculation of absorption rates", journal = j-SIAM-REVIEW, volume = "4", number = "2", pages = "115--134", month = apr, year = "1962", URL = "http://www.jstor.org/stable/2028365", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jun 27 15:54:11 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, HDnumber = "113", } @Article{Hull:1962:RNG, author = "T. E. Hull and A. R. Dobell", title = "Random Number Generators", journal = j-SIAM-REVIEW, volume = "4", number = "3", pages = "230--254", month = jul, year = "1962", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Jun 22 07:53:49 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "https://dspace.library.uvic.ca:8443/bitstream/handle/1828/3142/Random_Number_Generators.pdf?sequence=3", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rice:1964:NSE, author = "John R. Rice and John S. White", title = "Norms for smoothing and estimation", journal = j-SIAM-REVIEW, volume = "6", number = "??", pages = "243--256", month = "????", year = "1964", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "62.10 (62.20)", MRnumber = "MR0168069 (29 \#5334)", MRreviewer = "M. M. Siddiqui", bibdate = "Sat Dec 29 12:36:18 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Marsaglia:1964:CMG, author = "G. Marsaglia and T. A. Bray", title = "A convenient method for generating normal variables", journal = j-SIAM-REVIEW, volume = "6", number = "3", pages = "260--264", month = "????", year = "1964", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.15", MRnumber = "30 \#2660", MRreviewer = "D. H. Lehmer", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; MathSciNet database", fjournal = "SIAM Review", keywords = "numerical analysis", ZMnumber = "0125.08001", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Aug 29 08:12:16 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Tue Mar 20 13:37:49 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28196410%296%3A4%3C468%3APOT1SI%3E2.0.CO%3B2-T", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Franklin:1965:NSS, author = "J. N. Franklin", title = "Numerical simulation of stationary and nonstationary {Gaussian} random processes", journal = j-SIAM-REVIEW, volume = "7", number = "??", pages = "68--80", month = "????", year = "1965", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRnumber = "MR 179913", bibdate = "Thu Jan 19 06:44:51 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kahan:1966:CEB, author = "W. M. Kahan", title = "A Computable Error-Bound for Systems of Ordinary Differential Equations (Abstract)", journal = j-SIAM-REVIEW, volume = "8", number = "??", pages = "568--569", month = "????", year = "1966", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-jr, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 10:58:54 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; Theory/Matrix.bib", fjournal = "SIAM Review", kwds = "nla, eig, symmetric matrix", } @Article{Tukey:1967:DS, author = "John W. Tukey", title = "Discussion of Session 1", journal = j-SIAM-REVIEW, volume = "9", number = "??", pages = "308--310", month = "????", year = "1967", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sun Jun 05 12:25:01 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", PMnumber = "168", } @Article{Ulam:1967:EAM, author = "Stanis{\l}aw M. Ulam", editor = "James Ortega and Paul I. Richards and Frank W. Sinden", title = "An education in applied math", journal = j-SIAM-REVIEW, volume = "9", number = "??", pages = "343--344", month = "????", year = "1967", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 31 14:23:41 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "Proceedings of {May 24--27, 1966 SIAM Conference (Aspen, Colorado)}", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wigner:1967:RMP, author = "Eugene P. Wigner", title = "Random Matrices in Physics", journal = j-SIAM-REVIEW, volume = "9", number = "1", pages = "1--23", month = jan, year = "1967", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Jul 28 18:44:10 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.physicstoday.org/search", URL = "http://link.aip.org/link/siread/v9/i1/p1/s1; http://www.jstor.org/stable/2027409", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 30 10:29:27 2008", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/?SIR/9/24/1", acknowledgement = ack-nhfb, fjournal = "SIAM Review", 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.", } @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", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Forsythe:1967:TCM, author = "George E. Forsythe", title = "Today's computational methods of linear algebra", journal = j-SIAM-REVIEW, volume = "9", number = "3", pages = "489--515", month = "????", year = "1967", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.35", MRnumber = "MR0218000 (36 \#1089)", MRreviewer = "A. S. Householder", bibdate = "Tue Nov 22 12:08:06 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "Reprinted in Studies in Numerical Analysis 1, SIAM, Philadelphia, 1968", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 10:58:53 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1968:RNI, author = "Frank Stenger", title = "Review: {{\em Numerical Integration}}, by {Philip J. Davis and Philip Rabinowitz}", journal = j-SIAM-REVIEW, volume = "10", number = "2", pages = "239--240", month = apr, year = "1968", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu May 10 17:20:18 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28196804%2910%3A2%3C239%3ANI%3E2.0.CO%3B2-Y", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Zaremba:1968:MBM, author = "S. K. Zaremba", title = "The mathematical basis of {Monte Carlo} and quasi-{Monte Carlo} methods", journal = j-SIAM-REVIEW, volume = "10", number = "3", pages = "303--314", month = jul, year = "1968", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRnumber = "233489", bibdate = "Fri Jan 6 10:22:22 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2027655", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mandelbrot:1968:FBM, author = "Beno{\^\i}t B. Mandelbrot and John W. {Van Ness}", title = "Fractional {Brownian} Motions, Fractional Noises and Applications", journal = j-SIAM-REVIEW, volume = "10", number = "4", pages = "422--437", month = oct, year = "1968", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60.40", MRnumber = "0242239 (39 \#3572)", MRreviewer = "D. R. Brillinger", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v10/i4/p422/s1; http://www.jstor.org/stable/2027184", ZMnumber = "Zbl 0179.47801", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chow:1969:CHM, author = "T. S. Chow", title = "A class of {Hessenberg} matrices with known eigenvalues and inverses", journal = j-SIAM-REVIEW, volume = "11", number = "??", pages = "391--395", month = "????", year = "1969", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "15.15 (65.00)", MRnumber = "0252407 (40 \#5627)", MRreviewer = "R. P. Tewarson", bibdate = "Mon Apr 2 17:27:07 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mufti:1969:SIC, author = "I. H. Mufti and C. K. Chow and F. T. Stock", title = "Solution of ill-conditioned linear two-point boundary value problems by the {Riccati} transformation", journal = j-SIAM-REVIEW, volume = "11", number = "??", pages = "616--619", month = "????", year = "1969", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.62", MRnumber = "0253567 (40 \#6781)", bibdate = "Mon Apr 2 17:27:07 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jackson:1969:CEI, author = "L. W. Jackson", title = "A Comparison of Ellipsoidal and Interval Arithmetic Error Bounds, Numerical Solutions of Nonlinear Problems (Notice)", journal = j-SIAM-REVIEW, volume = "11", number = "??", month = "????", pages = "??--??", year = "1969", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-jr, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Byrnes:1970:IWF, author = "J. S. Byrnes", title = "Instant {Walsh} Functions", journal = j-SIAM-REVIEW, volume = "12", number = "??", pages = "131", month = "????", year = "1970", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @Article{Dorr:1970:DSD, author = "F. W. Dorr", title = "The Direct Solution of the Discrete {Poisson} Equation on a Rectangle", journal = j-SIAM-REVIEW, volume = "12", number = "??", pages = "248--263", month = "????", year = "1970", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @Article{Lancaster:1970:ESL, author = "P. Lancaster", title = "Explicit Solution of Linear Matrix Equations", journal = j-SIAM-REVIEW, volume = "12", number = "??", pages = "544--566", month = "????", year = "1970", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Juncosa:1970:BRB, author = "Mario Juncosa", title = "Book Review: {{\booktitle{Random Number Generators}}, by Birger Jansson}", journal = j-SIAM-REVIEW, volume = "12", number = "2", publisher = "SIAM", pages = "310--311", year = "1970", CODEN = "SIREAD", DOI = "http://dx.doi.org/10.1137/1012068", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 16 15:57:34 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/?SIR/12/310/1", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Carlson:1970:HSS, author = "B. C. Carlson", title = "Hidden Symmetries of Special Functions", journal = j-SIAM-REVIEW, volume = "12", number = "3", pages = "332--345", month = jul, year = "1970", CODEN = "SIREAD", DOI = "http://www.jstor.org/stable/2028552", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jan 22 20:15:37 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65.20 (41.00)", MRnumber = "42\#2627", bibdate = "Wed Jan 17 08:57:15 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "Reprinted in {\em Studies in Applied Mathematics}, {\bf 6}, SIAM, 1970, pp. 86--109.", acknowledgement = ack-wjc, fjournal = "SIAM Review", } @Article{Haber:1970:NEM, author = "Seymour Haber", title = "Numerical Evaluation of Multiple Integrals", journal = j-SIAM-REVIEW, volume = "12", number = "4", pages = "481--526", month = oct, year = "1970", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 16 11:07:46 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2028488", acknowledgement = ack-nhfb, fjournal = "SIAM Review", remark = "Tutorial on multidimensional Monte Carlo integration.", } @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", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Parlett:1971:AAR, author = "Beresford N. Parlett", title = "Analysis of Algorithms for Reflections in Bisectors", journal = j-SIAM-REVIEW, volume = "13", number = "2", pages = "197--208", month = "????", year = "1971", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.80", MRnumber = "MR0290608 (44 \#7788)", MRreviewer = "G. Fairweather", bibdate = "Thu Nov 10 18:37:11 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib", acknowledgement = ack-nhfb, classmath = "*65F99 Numerical linear algebra 65G99 Error analysis 65Y20 Complexity and performance of numerical algorithms", fjournal = "SIAM Review", ZMnumber = "0217.52606", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1971:RIS, author = "Frank Stenger", title = "Review: {{\em Integrals and Sums}}, by {P. C. Chakravarti}", journal = j-SIAM-REVIEW, volume = "13", number = "4", pages = "582--583", month = oct, year = "1971", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu May 10 16:58:16 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28197110%2913%3A4%3C582%3AIAS%3E2.0.CO%3B2-1", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wimmer:1972:SME, author = "H. Wimmer and A. D. Ziebur", title = "Solving the Matrix Equation {$\sum f_{p}(A)Xg_{p}(A)$}", journal = j-SIAM-REVIEW, volume = "14", number = "??", pages = "318--323", month = "????", year = "1972", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1972:RQF, author = "Frank Stenger", title = "Review: {{\em Quadrature Formulae}}, by {A. Ghizetti and A. Ossicini}", journal = j-SIAM-REVIEW, volume = "14", number = "4", pages = "662--662", month = oct, year = "1972", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu May 10 17:28:01 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28197210%2914%3A4%3C662%3AQF%3E2.0.CO%3B2-J", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lee:1973:VSN, author = "E. H. Lee and G. E. Forsythe", title = "Variational study of nonlinear spline curves", journal = j-SIAM-REVIEW, volume = "15", number = "??", pages = "120--133", month = "????", year = "1973", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue Nov 22 09:08:17 MST 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, classmath = "*74K10 Rods (beams, columns, shafts, arches, rings, etc.)", fjournal = "SIAM Review", ZMnumber = "0226.73030; 0253.73045", } @Article{Dorr:1973:DSD, author = "F. W. Dorr", title = "The Direct Solution of the Discrete {Poisson} Equation in {$O(n^{2})$} Operations", journal = j-SIAM-REVIEW, volume = "15", number = "??", pages = "412--415", month = "????", year = "1973", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1973:RAC, author = "Frank Stenger", title = "Review: {{\em Approximate Calculation of Multiple Integrals}}, by {A. H. Stroud}", journal = j-SIAM-REVIEW, volume = "15", number = "1", pages = "234--235", month = jan, year = "1973", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu May 10 17:21:25 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28197301%2915%3A1%3C234%3AACOMI%3E2.0.CO%3B2-7", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F15", MRnumber = "48 7569", MRreviewer = "J. F. Traub", bibdate = "Mon Jan 27 11:00:02 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65-03 (65-02)", MRnumber = "52 15937", bibdate = "Mon Jan 27 10:59:12 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:00:15 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @Article{Zischka:1974:NIB, author = "K. A. Zischka and P. S. Chow", title = "On nonlinear initial boundary value problems of heat conduction and diffusion", journal = j-SIAM-REVIEW, volume = "16", number = "1", pages = "17--35", month = jan, year = "1974", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35K05", MRnumber = "0330772 (48 \#9109)", MRreviewer = "W. F. Ames", bibdate = "Mon Apr 2 17:27:07 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Sat Sep 24 00:21:43 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chow:1975:PMS, author = "Pao Liu Chow", title = "Perturbation methods in stochastic wave propagation", journal = j-SIAM-REVIEW, volume = "17", number = "1", pages = "57--81", month = "????", year = "1975", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "78.60", MRnumber = "0366231 (51 \#2479)", MRreviewer = "Kazimierz Sobczyk", bibdate = "Mon Apr 2 17:27:07 2012", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cline:1976:SUL, author = "R. E. Cline and R. J. Plemmons", title = "{$L_{1}$}-Solutions to Underdetermined Linear Systems", journal = j-SIAM-REVIEW, volume = "18", number = "??", pages = "92--106", month = "????", year = "1976", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @Article{Amann:1976:FPE, author = "H. Amann", title = "Fixed Point Equations and Nonlinear Eigenvalue Problems in ordered {Banach} Spaces", journal = j-SIAM-REVIEW, volume = "18", number = "??", pages = "620--709", month = "????", year = "1976", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-jr, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", month = "????", year = "1976", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35Q99", MRnumber = "53 \#8689", MRreviewer = "Ronald Di Perna", bibdate = "Fri Sep 21 09:24:47 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F15 (15A21)", MRnumber = "54 \#1570", MRreviewer = "Robert Todd Gregory", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/gvl.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", kwds = "nla, eig, Jordan form, condition, pert, ill-conditioned problem", } @Article{Stewart:1977:PPI, author = "G. W. Stewart", title = "On the Perturbation of Pseudo-Inverses, Projections, and Linear Least Squares Problems", journal = j-SIAM-REVIEW, volume = "19", number = "??", pages = "634--662", month = "????", year = "1977", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F15", MRnumber = "55 1716", MRreviewer = "B. Levinger", bibdate = "Sun Jan 14 09:50:11 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb # " and " # ack-sf, fjournal = "SIAM Review", } @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", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:00:54 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Haaland:1977:DCA, author = "C. M. Haaland and E. P. Wigner", title = "Defense of Cities by Antiballistic Missiles", journal = j-SIAM-REVIEW, volume = "19", number = "2", pages = "279--296", month = apr, year = "1977", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Jul 28 18:44:10 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2029503", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Whittemore:1978:QTC, author = "Alice Whittemore and Joseph B. Keller", title = "Quantitative theories of carcinogenesis", journal = j-SIAM-REVIEW, volume = "20", number = "1", pages = "1--30", month = jan, year = "1978", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "92A07", MRnumber = "80a:92024", MRreviewer = "Howard B. Stauffer", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35B99 (35K55 92A40)", MRnumber = "80c:35014", MRreviewer = "C. Bardos", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "80A10 (01A55)", MRnumber = "80a:80003", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "92A15", MRnumber = "80a:92039", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Parlett:1978:PNA, author = "Beresford N. Parlett", title = "Progress in numerical analysis", journal = j-SIAM-REVIEW, volume = "20", number = "3", pages = "443--456", month = "????", year = "1978", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65-02", MRnumber = "MR0494816 (58 \#13601)", bibdate = "Thu Nov 10 18:37:11 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, classmath = "*65-02 Research monographs (numerical analysis) 68Nxx Software 00A06 Mathematics for non-mathematicians", fjournal = "SIAM Review", keywords = "Iterative Methods for Linear Equations; Library Functions; Matrix Computations; Minimization; Numerical Methods; Ordinary Differential Equations; Packages; Program Libraries; Programming Languages; Progress in Numerical Analysis; Quadrature; Small Matrix Computations; Stored Matrices; Theoretical Treatment", ZMnumber = "0408.65002", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Sep 22 14:30:41 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "49-03 (01A60)", MRnumber = "81h:49002", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "93B05 (49B99)", MRnumber = "80c:93032", MRreviewer = "Vadim Komkov", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65Fxx (68C05)", MRnumber = "80a:65063", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65D32 (62E30 65U05)", MRnumber = "80g:65021", MRreviewer = "James E. Gentle", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "15A15", MRnumber = "80c:15004", MRreviewer = "C. G. Cullen", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", kwds = "nla, matrix exponential, eig, matrix function", } @Article{Gudder:1978:ECM, 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)", ISSN-L = "0036-1445", MRclass = "52A05 (81C99 90A05)", MRnumber = "80b:52004", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yohe:1979:INA, author = "J. M. Yohe", title = "Implementing Nonstandard Arithmetics", journal = j-SIAM-REVIEW, volume = "21", number = "??", pages = "34--56", month = "????", year = "1979", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-jr, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65L05", MRnumber = "80c:65158", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "52A20 (90C25)", MRnumber = "80h:52007", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "34A30 (34D10 65Lxx)", MRnumber = "80d:34011", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "93E20 (60G40)", MRnumber = "80i:93066", MRreviewer = "Jean-Michel Bismut", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90A16", MRnumber = "80b:90032", MRreviewer = "G. Chichilnisky", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F05 (65F35)", MRnumber = "80c:65075", MRreviewer = "Colin M. Campbell", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "49-02", MRnumber = "80e:49001", MRreviewer = "Ethelbert N. Chukwu", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65N30 (76D99)", MRnumber = "80e:65101", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76S05 (35R35 49A29 80A20)", MRnumber = "81g:76097", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Takacs: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)", ISSN-L = "0036-1445", MRclass = "60C05 (60J15)", MRnumber = "80e:60019", MRreviewer = "S. G. Mohanty", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "78A40 (01A65 01A74)", MRnumber = "80c:78012", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "86A05 (35Q99 76C10)", MRnumber = "80g:86004", MRreviewer = "Robert Pearson", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35C10 (65N99)", MRnumber = "80f:35017", MRreviewer = "Alexander Doktor", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F10 (65F15)", MRnumber = "80f:65040", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "94A05", MRnumber = "81j:94001", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65H10 (65K05)", MRnumber = "80j:65021", MRreviewer = "Kurt Georg", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "62-01", MRnumber = "82b:62001", MRreviewer = "Bruce W. Turnbull", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65E05", MRnumber = "80i:65031", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "Distributed/QLD.bib; Distributed/QLD/1979.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, country = "USA", date = "22/09/88", descriptors = "Mathematics;", enum = "1332", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "15A48 (05B20 15A33)", MRnumber = "81e:15009", MRreviewer = "R. A. Brualdi", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "51M05", MRnumber = "80h:51019", MRreviewer = "J. F. Rigby", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "26D15", MRnumber = "80g:26023", MRreviewer = "E. F. Beckenbach", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65H10 (65D10)", MRnumber = "80k:65047", MRreviewer = "K. H. V. Booth", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35L65 (53A45 58A15 76A02)", MRnumber = "81f:35076", MRreviewer = "P. G{\"u}nther", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "47H17 (47H10 55M25 58C15 65H10 90C30)", MRnumber = "81d:47040", MRreviewer = "Yu. G. Borisovich", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "52A20 (90C25)", MRnumber = "81g:52006", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "60H10 (35B25)", MRnumber = "81g:60065", MRreviewer = "Pierre-Louis Lions", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65L10 (34B05)", MRnumber = "81e:65049", MRreviewer = "Johannes Elschner", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "49A36 (93C55)", MRnumber = "83k:49020", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Antman:1980:CAG, 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)", ISSN-L = "0036-1445", MRclass = "73H05 (73K05)", MRnumber = "81m:73042", MRreviewer = "M. O. Bashele{\u{\i}} shvili", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "41A60 (65D20)", MRnumber = "81c:41071", MRreviewer = "L. Berg", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "41A60 (34E20)", MRnumber = "81c:41070", MRreviewer = "F. W. J. Olver", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65H10 (55M20 58C30 90C30)", MRnumber = "81m:65073", MRreviewer = "Kurt Georg", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "92A09 (76Z05)", MRnumber = "81g:92009", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90C30", MRnumber = "82a:90148", MRreviewer = "Nobuo Sannomiya", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90C30 (90-02 90A30 90C50)", MRnumber = "82c:90078", MRreviewer = "Elmor L. Peterson", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "41A60 (33A45)", MRnumber = "81m:41032", MRreviewer = "F. W. J. Olver", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "41A60 (65R10)", MRnumber = "82a:41030", MRreviewer = "L. Berg", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "42C05 (33A65 34B25)", MRnumber = "82a:42020", MRreviewer = "T. S. Chihara", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76B10 (35R35 73H05 73T05 76Q05 76V05)", MRnumber = "82a:76010", MRreviewer = "Alberto Valli", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "49A10", MRnumber = "82c:49003", MRreviewer = "Arthur J. Krener", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "01A60 (01A70 35-03)", MRnumber = "82c:01034", MRreviewer = "L. Reizi{\lfhook{n}}{\v{s}}", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{GarciaR: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)", ISSN-L = "0036-1445", MRclass = "35L20 (78A25)", MRnumber = "82h:35058", MRreviewer = "G. P. Bava", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65Lxx", MRnumber = "82c:65043", MRreviewer = "J. R. Cash", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "93D20", MRnumber = "82f:93063", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "15A09 (15-03 62J99)", MRnumber = "82c:15005", MRreviewer = "A. Lee", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76X05 (28D99 86A99)", MRnumber = "83d:76045", MRreviewer = "D. ter Haar", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F30 (15A51 90C40)", MRnumber = "83c:65088", MRreviewer = "J. Segethov{\'a}", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65D30 (41-02 41A30 65-02)", MRnumber = "83g:65027", MRreviewer = "H. E. Fettis", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90D10", MRnumber = "84h:90095", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65L10 (34B15)", MRnumber = "82f:65084", MRreviewer = "E. R. Hansen", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "42C10 (60G10 62M10 94A05)", MRnumber = "83f:42019", MRreviewer = "C. W. Onneweer", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "49B60 (93E20)", MRnumber = "83d:49047", MRreviewer = "Tamer Ba{\cedla{s}}ar", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76-02", MRnumber = "82k:76001", bibdate = "Fri Oct 27 15:25:11 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "41A25 (42A10)", MRnumber = "83d:41024", MRreviewer = "Prem Chandra", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76B15 (35Q20 76N15)", MRnumber = "82k:76013", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90A09", MRnumber = "82j:90009", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F10 (65H10)", MRnumber = "82k:65014", MRreviewer = "Ian Gladwell", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "70H35 (49C10 58F05 70-02)", MRnumber = "83c:70020", MRreviewer = "K. R. Meyer", bibdate = "Fri Oct 27 15:25:15 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chatelin: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)", ISSN-L = "0036-1445", MRclass = "47A55 (47A10 65J10)", MRnumber = "83b:47023", MRreviewer = "P. M. Anselone", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "86A35 (58F12 86A10)", MRnumber = "83h:86009", MRreviewer = "Claude Demuth", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "93B30 (93E12)", MRnumber = "82m:93027", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "68D90", MRnumber = "83h:68086", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35C15 (30G30 44A20 45P05)", MRnumber = "83e:35025", MRreviewer = "Bernd Goldschmidt", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65P05 (76-08)", MRnumber = "83b:65141", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65D32", MRnumber = "83d:65067", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "10Dxx (22E45)", MRnumber = "84b:10034", MRreviewer = "J. Szmidt", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "68C05 (05A05 10L99 94B60),", bibdate = "Mon Jan 27 11:01:31 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2029360", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90B35", MRnumber = "83i:90083", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "00A69 (01A70)", MRnumber = "83i:00027", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "93C10 (58F40)", MRnumber = "84h:93035", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "34A25", MRnumber = "83i:34012", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:01:06 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35C99 (35B99)", MRnumber = "84d:35028", MRreviewer = "F. Ursell", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "60K25 (90B22)", MRnumber = "85c:60160", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65M10", MRnumber = "84b:65089", MRreviewer = "G. W. Hedstrom", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Watkins:1982:UA, 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)", ISSN-L = "0036-1445", MRclass = "65F15 (15A18 65F50)", MRnumber = "84g:65047", MRreviewer = "G. W. Stewart", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35J65 (58E07)", MRnumber = "84a:35093", MRreviewer = "Kenneth J. Brown", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "86A30 (51K99 65D10)", MRnumber = "83k:86008", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Smillie:1983:BRB, author = "K. W. Smillie", title = "Book Review: {{\booktitle{Charles Babbage, Pioneer of the Computer}}, by Anthony Hyman}", journal = j-SIAM-REVIEW, volume = "25", number = "3", pages = "422--423", month = jul, year = "1983", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Jan 19 18:42:52 MST 2013", bibsource = "http://www.math.utah.edu/pub/tex/bib/adabooks.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2029408", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rall:1983:BRC, author = "L. B. Rall", title = "Book Review of {``Computer Arithmetic In Theory and Practice'', by U. W. Kulisch and W. L. Miranker}", journal = j-SIAM-REVIEW, volume = "25", number = "??", pages = "585--588", month = "????", year = "1983", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-jr, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76-08 (01A60 76-03)", MRnumber = "84f:76004", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65M05 (35L65)", MRnumber = "85h:65188", MRreviewer = "P. M. Dew", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65D30 (65-04)", MRnumber = "84f:65018", MRreviewer = "Menachem Dishon", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90C30", MRnumber = "84h:90066", MRreviewer = "Bruce D. Craven", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "68E05 (68G10 92A05)", MRnumber = "84g:68048", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "58C28 (58-01 78A05)", MRnumber = "84k:58044", MRreviewer = "James Callahan", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90C39 (90C05)", MRnumber = "84f:90104", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "26-01", MRnumber = "85a:26001", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "68N25", MRnumber = "85a:68019", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "45D05 (45J05)", MRnumber = "84i:45001", MRreviewer = "Gustaf Gripenberg", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65H05 (65B99)", MRnumber = "85a:65078", MRreviewer = "E. R. Hansen", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "94A11 (42A38 94A12)", MRnumber = "84i:94016", MRreviewer = "H. Vincent Poor", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90A16", MRnumber = "84m:90032", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "78A50 (76Q05 78A40)", MRnumber = "87b:78038", MRreviewer = "E. Meister", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "acoustic waves; electromagnetic waves --- Propagation in Guides; method of multiple scales; periodic structures", } @Article{Malliaris:1983:ICF, 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)", ISSN-L = "0036-1445", MRclass = "90A09 (60H05)", MRnumber = "87c:90023", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "86A15 (73D50)", MRnumber = "87c:86005", MRreviewer = "R. S. Anderssen", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65F05", MRnumber = "85h:65067", MRreviewer = "Zahari Zlatev", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "linear equations; mathematical techniques; staircase matrices; staircase systems", xxpages = "1--71", } @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)", ISSN-L = "0036-1445", MRclass = "81B10 (03G12 28A99)", MRnumber = "85d:81014", MRreviewer = "R. Piziak", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65F10 (65F30)", MRnumber = "85c:65032", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "82A67 (11L99 40A30 65B99)", MRnumber = "85g:82103", MRreviewer = "I. John Zucker", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Good:1984:BRB, author = "I. J. Good", title = "Book Review: {{\booktitle{The Fractal Geometry of Nature}}, by Beno{\^\i}t B. Mandelbrot}", journal = j-SIAM-REVIEW, volume = "26", number = "1", pages = "131--132", month = jan, year = "1984", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:21 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v26/i1/p131/s1; http://www.jstor.org/stable/2029696", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65N25 (35J05 35P05 76Q05 78A50)", MRnumber = "85k:65086", MRreviewer = "P. Keast", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62F10 (62-04)", MRnumber = "85j:62027", MRreviewer = "Barry C. Arnold", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90A11 (94C05)", MRnumber = "85g:90024", MRreviewer = "Wolfgang Mayer", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "51M25", MRnumber = "85j:51023", MRreviewer = "A. Florian", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76Q05 (35J05 35R30)", MRnumber = "85m:76051", MRreviewer = "R. F. Millar", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65D20 (26A09)", MRnumber = "86d:65029", MRreviewer = "S. Conde", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "58F07 (15A23 65F99)", MRnumber = "86d:58054", MRreviewer = "Francesco Calogero", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65F30 (68Q25)", MRnumber = "85j:65014", MRreviewer = "D. Bini", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "bilinear algorithms; boolean matrix multiplication; computer programming --- Algorithms; Linear Algebra; mathematical techniques; matrix multiplication; recursive algorithms", xxpages = "393--416", } @Article{DeKleine: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)", ISSN-L = "0036-1445", MRclass = "34D20 (34C25)", MRnumber = "85k:34115", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "86A30", MRnumber = "750 459", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "00A05 (00A25 01A05)", MRnumber = "86i:00001a", MRreviewer = "S. D. Chatterji", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "93C15 (34E15)", MRnumber = "86h:93036", MRreviewer = "Tamer Ba{\c{s}}ar", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90B15 (82A05 90B40)", MRnumber = "86e:90041", MRreviewer = "Anthony Vannelli", bibdate = "Thu Apr 09 11:07:34 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "73K05 (73K40)", MRnumber = "85m:73032", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "60J15", MRnumber = "85j:60132", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "80A20 (33A45)", MRnumber = "85k:80004", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65L10 (34A50)", MRnumber = "87h:65128", MRreviewer = "G. D. Byrne", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A17 (35K57)", MRnumber = "86i:92046", MRreviewer = "Roger Lui", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35L05 (78A40)", MRnumber = "86f:35111", bibdate = "Fri Oct 27 14:53:38 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See errata \cite{Morley:1986:ESP}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "60G50 (33A40 60K05)", MRnumber = "86m:60126", MRreviewer = "Philip J. Feinsilver", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65W05 (65Fxx 65N20)", MRnumber = "86j:65199", MRreviewer = "L. Hageman", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "86A30 (65D20)", MRnumber = "86i:86010", MRreviewer = "Z. N{\'a}den{\'i}k", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "60K25 (90B15 90B22)", MRnumber = "86j:60205", MRreviewer = "Masakiyo Miyazawa", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "60G25 (62M15 93E10)", MRnumber = "86j:60102", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "81C15 (35J05 58G15 58G25)", MRnumber = "87j:81052", MRreviewer = "Martin C. Gutzwiller", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65L05", MRnumber = "86m:65075", MRreviewer = "L. F. Shampine", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65H10 (58C40 58E07)", MRnumber = "87g:65071", MRreviewer = "Ian Gladwell", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "39A10", MRnumber = "87a:39004", MRreviewer = "R. N. Jain", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "53A05", MRnumber = "87c:53004", MRreviewer = "Carlos E. Harle", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kulisch:1986:ADC, author = "Ulrich W. Kulisch and Willard 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)", ISSN-L = "0036-1445", MRclass = "65G10 (68M15)", MRnumber = "87e:65030", MRreviewer = "G. Blanch", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", comment = "", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "computer arithmetic; computer metatheory; computer programming languages; computers, digital; floating-point arithmetic", referred = "[Layn91a].", } @Article{Meyer:1986:CED, 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)", ISSN-L = "0036-1445", MRclass = "34-02 (34C20 58F14)", MRnumber = "87e:34002", MRreviewer = "J. Kato", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "34B25 (34A55)", MRnumber = "87d:34034", MRreviewer = "William B. Day", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A09", MRnumber = "87d:92018", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "44A15 (44A05 45L05 65R20 92A07)", MRnumber = "87h:44009", MRreviewer = "Eric Todd Quinto", bibdate = "Fri Oct 27 15:25:19 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65N20 (65F10)", MRnumber = "87m:65166", MRreviewer = "L. Hageman", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35L20", MRnumber = "88a:35138", MRreviewer = "Rainer Picard", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "78A30 (53A05)", MRnumber = "87e:78015", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "35L05 (78A40)", MRnumber = "87h:35187", bibdate = "Fri Oct 27 14:54:24 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Morley:1985:SPW}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "01A70", MRnumber = "87h:01071", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76E10 (76E30)", MRnumber = "87h:76061", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76N99 (35C20 76D08)", MRnumber = "88d:76044", MRreviewer = "F. Feuillebois", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90C30 (00A15)", MRnumber = "87k:90234", MRreviewer = "K. G. Murty", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "78A25", MRnumber = "87j:78004", MRreviewer = "G. P. Bava", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "92A09 (65L10)", MRnumber = "87m:92034", MRreviewer = "Hilmi Demiray", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "58F05 (58F10 70H05)", MRnumber = "88a:58077", MRreviewer = "D. Schmidt", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "49D07 (49D37 90C30)", MRnumber = "88h:49047", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "60J99 (60K35)", MRnumber = "88e:60104", MRreviewer = "H. W. Lotwick", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65H10 (65F30 90C30)", MRnumber = "87k:65069", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62F35 (62F11)", MRnumber = "88h:62056", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "34C20 (93B17)", MRnumber = "88c:34048", MRreviewer = "T. G. Proctor", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65L99 (58C40 58F22)", MRnumber = "88c:65069", MRreviewer = "Michael Hurley", bibdate = "Mon Jan 27 11:01:40 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "58G25 (35P15)", MRnumber = "88g:58185", MRreviewer = "G{\'e}rard Besson", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65B05 (65-02 65F10 65H10)", MRnumber = "89j:65013a", MRreviewer = "Karl-Heinz Bachmann", bibdate = "Fri Oct 27 14:54:50 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See correction \cite{Smith:1988:CEM}.", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A15", MRnumber = "88k:92073", MRreviewer = "T. G. Hallam", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "68Q20 (05C20 05C38 68T20)", MRnumber = "889 246", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "94C05 (35R30)", MRnumber = "88g:94024", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "34C29 (58F30)", MRnumber = "88m:34043", MRreviewer = "A. A. Martynyuk", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "15A23", MRnumber = "88f:15018", MRreviewer = "Shao Kuan Li", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65M10 (65N30)", MRnumber = "88m:65136", MRreviewer = "R. Manohar", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62M99 (00A71 60D05)", MRnumber = "89c:62169", MRreviewer = "Dietrich Stoyan", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65F35", MRnumber = "88j:65086", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "76E05 (34B25)", MRnumber = "88m:76033", MRreviewer = "R. Manohar", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "93B05 (49E15)", MRnumber = "89a:93011", MRreviewer = "G. Anichini", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90B99 (90C50)", MRnumber = "89c:90067", MRreviewer = "Heinz-Uwe K{\"u}enle", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "60K30 (58F11 90B15)", MRnumber = "89g:60300", MRreviewer = "Philippe Bougerol", bibdate = "Fri Oct 27 14:56:12 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See erratum \cite{Cohen:1993:ESG}.", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "34C35 (58F11 92A09 92A17)", MRnumber = "89f:34065", MRreviewer = "V. M. Popov", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35L05", MRnumber = "89d:35102", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A07 (62N10)", MRnumber = "89g:92012", MRreviewer = "Ivar Heuch", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "76P05 (35Q20 82A40)", MRnumber = "89f:76066", MRreviewer = "J{\"u}rgen Batt", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65J15 (60K25 65B99 65U05)", MRnumber = "90b:65112", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62N05 (60K10 62C05 62F10 90B25)", MRnumber = "89e:62133", MRreviewer = "A. Balogh", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "49A55 (49F10 94C05)", MRnumber = "89g:49024", MRreviewer = "Jacqueline Morgan", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "80A20 (80-08)", MRnumber = "89d:80005", MRreviewer = "N. D. Sengupta", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "78A30", MRnumber = "89c:78005", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "70J05 (15A18 70J10 70J15)", MRnumber = "89b:70005", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Balloons--Pressure Effects; Inflated Balloon; Mathematical Techniques; Pressure Effects; Pressure Potential; Pressure Scalar; Theory; Two-Dimensional Space", } @Article{Griewank:1988:BRN, author = "Andreas Griewank", title = "Book Review of {{\it Numerical Derivatives and Nonlinear Analysis}}", journal = j-SIAM-REVIEW, volume = "30", number = "2", pages = "327--329", month = jun, year = "1988", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", comment = "Book review -- note references given in this review.", fjournal = "SIAM Review", } @Article{Stenger:1988:RCC, author = "Frank Stenger", title = "Review: {{\em Computational Complexity}}, by {K. Wagner and G. Wechsung}", journal = j-SIAM-REVIEW, volume = "30", number = "2", pages = "353--354", month = jun, year = "1988", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu May 10 17:18:35 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28198806%2930%3A2%3C353%3ACC%3E2.0.CO%3B2-B", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "68Q25 (65J10 65V05 68Q30)", MRnumber = "89h:68068", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62G05 (65D07)", MRnumber = "89j:62052", MRreviewer = "Girdhar G. Agarwal", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62-02 (62J99)", MRnumber = "89e:62001", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A40", MRnumber = "89h:92080", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "58F14 (34C25 34D05)", MRnumber = "89m:58148", MRreviewer = "Dietrich Flockerzi", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90D20", MRnumber = "958 103", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35J05 (35P15 65N15)", MRnumber = "90d:35059", MRreviewer = "Angelo Alvino", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "05A05 (04A20 06A10 90C30)", MRnumber = "89i:05003", MRreviewer = "D. J. Kleitman", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "68Q25 (03D15 11Y16)", MRnumber = "89k:68061", MRreviewer = "Klaus W. Wagner", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Integral Inequalities; Majorization Inequalities; Mathematical Statistics; Multivariate Inequalities; Multivariate Statistical Analysis; Statistical Methods", } @Article{Smith:1988:CEM, 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)", ISSN-L = "0036-1445", MRclass = "65B05 (65-02 65F10 65H10)", MRnumber = "89j:65013b", MRreviewer = "Karl-Heinz Bachmann", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Smith:1987:EMV}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A15 (35K99)", MRnumber = "90b:92053", MRreviewer = "K. Gopalsamy", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "70J05", MRnumber = "90f:70027", MRreviewer = "Julio Ruiz-Claeyssen", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "58F10 (34D20 58F40 70K20)", MRnumber = "90c:58093", MRreviewer = "Robert Faure", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35L05", MRnumber = "90b:35135", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65N05 (65F10)", MRnumber = "90h:65162", MRreviewer = "O. Widlund", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62B10", MRnumber = "90a:62018", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92A15", MRnumber = "90a:92045", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62A15 (62F03)", MRnumber = "90a:62013", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65M12 (35K57)", MRnumber = "91b:65110", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65Fxx", MRnumber = "90c:65043", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65U05 (60J10 60J20)", MRnumber = "90f:65245", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "44A15 (65R10 92A07)", MRnumber = "90j:44006", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "51M25 (51N20)", MRnumber = "90d:51037", MRreviewer = "H. W. Guggenheimer", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90D10 (39A10 90C39)", MRnumber = "90b:90157", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "73C50 (49F99 58E15 73C60)", MRnumber = "90g:73042", MRreviewer = "John M. Ball", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "39A11 (39-02)", MRnumber = "90h:39011", MRreviewer = "Dongning Li", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65F10 (01A60 65U05)", MRnumber = "90g:65044", bibdate = "Fri Oct 27 14:55:15 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "34E20 (41A60 81F05)", MRnumber = "90f:34097", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92B05 (34E15 92C45)", MRnumber = "92f:92003", MRreviewer = "J. C. Misra", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "58F40 (58F14 70K99 76B05)", MRnumber = "90i:58172", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "30C20", MRnumber = "90h:30019", MRreviewer = "John G. Milcetich", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Geometric Probability Distribution; Mathematical Statistics; Probability--Random Processes; Random Number Generation; Rejection Sampling; Renewal Process; Statistical Methods", } @Article{Nievergelt:1989:MHM, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "01A60 (00A25 00A69)", MRnumber = "1 025 479", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "62A15 (62C12)", MRnumber = "90k:62010", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35J05 (31B20 35C99 78A45)", MRnumber = "90i:35073", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "15A23 (15A57 94A11)", MRnumber = "90m:15024", MRreviewer = "Mihail Voicu", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "42C15", MRnumber = "91m:42028", MRreviewer = "Hans G. Feichtinger", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "42C15", MRnumber = "91c:42032", MRreviewer = "Hans G. Feichtinger", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "76D07", MRnumber = "90k:76043", MRreviewer = "A. M. J. Davis", bibdate = "Mon Jan 27 11:03:06 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See addendum \cite{Deakin:1990:ASF}.", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90C30", MRnumber = "90m:90252", MRreviewer = "S. R. Mohan", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "92C30 (35K57 73P05 80A30)", MRnumber = "91e:92009", MRreviewer = "Sui Yang Chen", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "65Y05 (65-02 65Fxx)", MRnumber = "91d:65224", MRreviewer = "Ming Kui Chen", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "92A15", MRnumber = "90k:92056", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Beale:1990:NSE, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:03:01 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:03:13 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:03:45 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 27 11:03:46 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ruohonen:1990:NLI, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1990:RRA, author = "Frank Stenger", title = "Review: {{\em Rational Approximation of Real Functions}} by {P. P. Petrushev and V. I. Popov}", journal = j-SIAM-REVIEW, volume = "32", number = "1", pages = "187--188", month = mar, year = "1990", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://links.jstor.org/sici?sici=0036-1445%28199003%2932%3A1%3C187%3ARAORF%3E2.0.CO%3B2-R", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65C10 (65Y05)", MRnumber = "91g:65015", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65T20 (65N55)", MRnumber = "91f:65224", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35K55 (35B05)", MRnumber = "91j:35135", MRreviewer = "Victor A. Galaktionov", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "93B50", MRnumber = "1 056 056", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "76M25 (65Nxx 76D05 76D45)", MRnumber = "91m:76082", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "58F15 (58F13)", MRnumber = "91e:58141", MRreviewer = "Mariusz Urba{\'n}ski", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "76D99 (34E05 65L99 76D30 76D45 76M99)", MRnumber = "91f:76024", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65F10 (01A60 65U05)", MRnumber = "1 069 898", bibdate = "Fri Oct 27 14:55:27 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Piegorsch:1989:EUM}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "65C05", MRnumber = "91i:65007", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Nitecki:1990:NLO, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", 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; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "68T20 (68T10 92B20 94B05)", MRnumber = "92e:68175", MRreviewer = "F. Ventriglia", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "76R50", MRnumber = "91j:76063", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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:GUP, 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)", ISSN-L = "0036-1445", MRclass = "62F25", MRnumber = "91j:62038", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Confidence Intervals; Education; Statistical Inference; Statistical Methods; Statistics Courses", } @Article{Deakin:1990:ASF, 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)", ISSN-L = "0036-1445", MRclass = "76D07", MRnumber = "1 084 576", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Deakin:1989:SFE}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dijkstra:1990:LGF, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Feliachi:1990:CPK, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ponce:1990:IBV, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", MRclass = "90C20 (65K05)", MRnumber = "92b:90162", MRreviewer = "Joachim K{\"a}schel", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "00A35 (00A69 00A71)", MRnumber = "1 095 242", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90D12 (90D06)", MRnumber = "92c:90133", MRreviewer = "Tadeusz Radzik", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "90C10", MRnumber = "92a:90041", MRreviewer = "P. F. K{\"o}rner", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "35L05 (35L20)", MRnumber = "1 095 245", bibdate = "Fri Oct 27 15:25:26 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "73C05 (73K40)", MRnumber = "91k:73028", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", MRclass = "86A20 (35L05 35R30)", MRnumber = "91m:86009", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", 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", fjournal = "SIAM Review", 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McCall:1991:MAB, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mortensen:1991:IDD, 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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @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)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ockendon:1991:NCH, author = "J. R. Ockendon", title = "Nonequilibrium Condensation in High-Speed Gas Flows ({Yuri {A} Ryzhov, Ul'yan {G}. Pirumov, and Vladimir {N}. Gorbunov; {V}. {A}. Khokhryakov, trans.})", journal = j-SIAM-REVIEW, volume = "33", number = "1", pages = "159--??", month = mar, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Vogt:1991:IHS, author = "Andrew Vogt", title = "An Introduction to {Hilbert} Space and Quantum Logic ({David {W} Cohen})", journal = j-SIAM-REVIEW, volume = "33", number = "1", pages = "160--??", month = mar, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Williams:1991:CMG, author = "William O. Williams", title = "Continua with Microstructure ({Gianfranco Capiz})", journal = j-SIAM-REVIEW, volume = "33", number = "1", pages = "161--??", month = mar, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ahuja:1991:SRA, author = "Ravindra K. Ahuja and Thomas L. Magnanti and James B. Orlin", title = "Some Recent Advances in Network Flows", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "175--219", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90B10 (90C31)", MRnumber = "92g:90068", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The literature on network flow problems is extensive, and over the past 40 years researchers have made continuous improvements to algorithms for solving several classes of problems. However, the surge of activity concerning the algorithmic aspects of network flow problems over the past few years has been particularly striking. Several techniques have proven to be very successful in permitting researchers to make these recent contributions: (i) scaling of the problem data; (ii) improved analysis of algorithms, especially amortized worst-case performance and the use of potential functions; and (iii) enhanced data structures. This survey illustrates some of these techniques and their usefulness in developing faster network flow algorithms. The discussion focuses on the design of faster algorithms from the worst-case perspective, and is limited to the following fundamental problems: the shortest path problem, the maximum flow problem, and the minimum cost flow problem. Several representative algorithms from each problem class are considered, including the radix heap algorithm for the shortest path problem, preflow push algorithms for the maximum flow problem, and the pseudoflow push algorithms for the minimum cost flow problem.", acknowledgement = ack-nhfb, affiliation = "Indian Inst of Technology", affiliationaddress = "Kanpur, India", classification = "723; 912; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Computer Programming; Mathematical Programming; Network Algorithms; Network Flows; Network Optimization; Operations Research", } @Article{Stone:1991:SPS, author = "Richard E. Stone and Craig A. Tovey", title = "The Simplex and Projective Scaling Algorithms as Iteratively Reweighted Least Squares Methods", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "220--237", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C05", MRnumber = "92h:90077a", MRreviewer = "Nada I. Djuranovi{\'c}-Mili{\v{c}}i{\v{c}}", bibdate = "Fri Oct 27 14:55:54 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See erratum \cite{Stone:1991:ESP}.", abstract = "The projective scaling algorithm in Karmarkar and Dantzig's simplex method are usually thought of as fundamentally different approaches to linear programming. When viewed in Dantzig's column space geometry, however, both algorithms turn out to be iteratively reweighted least squares methods. The projective scaling algorithm (and the affine scaling method in Dikin) can then be derived as a natural generalization of the simplex method. This derivation shows how the dual variables arise in the interior methods. The insight is essentially geometric; suitable figures are provided.", acknowledgement = ack-nhfb, affiliation = "AT\&T Bell Lab", affiliationaddress = "Holmdel, NJ, USA", classification = "723; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Affine Scaling Method; Computer Programming --- Algorithms; Interior Point Algorithms; Mathematical Programming, Linear; Mathematical Techniques --- Least Squares Approximations; Projective Scaling Algorithms; Simplex Method", } @Article{Hermes:1991:NHO, author = "Henry Hermes", title = "Nilpotent and High-Order Approximations of Vector Field Systems", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "238--264", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "93B05 (49J15 57R27 93B27)", MRnumber = "92e:93006", MRreviewer = "Henk Nijmeijer", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper is concerned with the study of structurally stable properties associated with systems described by one, or several, real analytic vector fields via approximating systems which retain information pertinent to these properties. For example, let $X_0,\ldots{}, X_m$ be real analytic vector fields on an $n$-manifold $M$. An affine control system has the form (i) $x = X_0(x) + \Sigma_1^m u_iX_i(x)$; a second-order partial differential equation can be written as (ii) $\Sigma_{i=1}^m X_i^2v - X_0v = f$, while if $X_0(p) = 0$ the asymptotic stability of the rest solution requires analysis of (iii) $x = X_0(x)$. If, in (ii), $m < n$ yet the vector fields in the Lie algebra generated by $X_1,\ldots{},X_m$, when evaluated at $p$, span the tangent space to $M$ at $p$, the operator is hypoelliptic but an approximation of the vector fields needed to describe the singularity in a parametrix must retain more information than a linearization of the vector fields does. Similarly, the question of small time local controllability of (i) has been dealt with by constructing higher-order approximating vector fields which generate a nilpotent Lie algebra. The theory of these high-order approximations and their applications is concisely developed.", acknowledgement = ack-nhfb, affiliation = "Univ of Colorado", affiliationaddress = "Boulder, CO, USA", classification = "731; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Control Systems; Feedback Controls; Mathematical Techniques --- Approximation Theory; Nilpotent Approximations; Stability; Vector Fields", } @Article{Mathis:1991:GBP, author = "Frank H. Mathis", title = "A generalized birthday problem", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "265--270", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60C05", MRnumber = "1 108 591", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gray:1991:STD, author = "L. J. Gray", title = "Storage tank design", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "271--274", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "26B15", MRnumber = "1 108 592", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A calculus problem arising in the operation of a storage tank for a chemical processing plant is described. Constructing an appropriate gauge for the storage tank requires computing the volume of water residing inside a tilted cylindrical pipe.", acknowledgement = ack-nhfb, affiliation = "Oak Ridge Natl Lab", affiliationaddress = "Oak Ridge, TN, USA", classification = "619; 802", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Calculus Problems; Chemical Plants; Mathematical Techniques --- Integral Equations; Pipe; Storage; Symbolic Computation; Tanks; Volume Integral", } @Article{Aref:1991:LSF, author = "Hassan Aref", title = "{Lindenmayer} Systems, Fractals, and Plants ({Przemyslaw Prusinkiewicz and James Hanan})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "284--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ariyawansa:1991:APA, author = "K. A. Ariyawansa", title = "{ABS} Projection Algorithms: Mathematical Techniques for Linear and Nonlinear Equations ({Jozsef Abaffy and Emilio Spedicato})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "285--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Barnard:1991:HPS, author = "George A. Barnard", title = "A History of Probability and Statistics: And Their Applications Before 1750 ({Anders Hald})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "286--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Baumeister:1991:ACI, author = "Johann Baumeister", title = "Adaptive Control and Identification: Conflict or Conflux? ({J W. Polderman})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "290--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Berk:1991:FMS, author = "Kenneth N. Berk", title = "Fundamentals of Mathematical Statistics ({H. T. Nguyen and G. S. Rogers})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "291--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bloch:1991:NDC, author = "Anthony M. Bloch", title = "Nonlinear Dynamical Control Systems ({H. Nijmeijer and A. J. van der Schaft})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "292--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bluman:1991:NBV, author = "George Bluman", title = "Nonlinear Boundary Value Problems in Science and Engineering ({C. Rogers and W. F. Ames})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "294--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Boltyanski:1991:GSM, author = "Vladimir G. Boltyanski", title = "Games, Set, and Math: Enigmas and Conundrums ({Ian Stewart})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "296--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Boltyanski:1991:HDO, author = "Vladimir G. Boltyanski", title = "How Does One Cut a Triangle? ({Alexander Soifer})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "297--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bouchitte:1991:DMC, author = "Guy Bouchitte", title = "Direct Methods in the Calculus of Variations ({B. Dacorogna})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "299--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Davis:1991:NMD, author = "Jon H. Davis", title = "Nonnegative Matrices in Dynamic Systems ({Abraham Berman, Michael Neumann, and Donald {J}. Stern})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "300--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{DeRose:1991:CSC, author = "Tony DeRose", title = "Curves and Surfaces for Computer Aided Geometric Design: {A} Practical Guide ({Gerald Farin})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "301--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Duffy:1991:ITK, author = "Joseph Duffy", title = "Introduction to Theoretical Kinematics ({J. M. McCarthy})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "302--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Roy:1991:IPQ, author = "Dilip N. Ghosh Roy", title = "Inverse Problems in Quantum Scattering Theory ({K. Chadan and P. C. Sabatier})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "302--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Goldberg:1991:CPA, author = "Andrew V. Goldberg and Dan Gusfield", title = "{\cyr Potokavie Algoritmi} (Flow Algorithms) ({G. M. Adel'son-Vel'ski, E. A. Dinits, and A. V. Karzanov})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "306--314", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Healey:1991:STR, author = "Timothy J. Healey", title = "Singularity Theory, Rod Theory and Symmetry-Breaking Loads ({John {F}. Pierce})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "314--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hutter:1991:ECC, author = "K. Hutter", title = "Electrodynamics of Continua ({A. Cemal Eringen and Gerard A. Maugin})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "315--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jin:1991:VPP, author = "Fei-Fei Jin", title = "Vacillation and Predictability Properties of Low-Order Atmospheric Spectral Models ({H. E. deSwart})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "320--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kazarinoff:1991:JLM, author = "Nicholas D. Kazarinoff", title = "{Joseph Liouville} 1809--1882: Master of Pure and Applied Mathematics ({Jesper Lutzen})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "321--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kern:1991:SAB, author = "W. Kern", title = "Simulated Annealing and {Boltzmann} Machines: {A} Stochastic Approach to Combinatorial Optimization and Neural Computing ({Emile Aarts and Jan Korst})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "323--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Krishnamoorthy:1991:SMP, author = "Mukkai S. Krishnamoorthy", title = "The Stable Marriage Problem: Structure and Algorithms ({Dan Gusfield and Robert {W}. Irving})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "323--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lazer:1991:CPT, author = "Alan C. Lazer", title = "Critical Point Theory and {Hamiltonian} Systems ({Jean Mawhin and Michel Willem})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "324--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lindberg:1991:DSS, author = "Herbert E. Lindberg", title = "Dynamic Stability of Suddenly Loaded Structures ({George {J} Simitses})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "327--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{MacKay:1991:CES, author = "R. S. MacKay", title = "Chaotic Evolution and Strange Attractors: The Statistical Analysis of Time Series for Deterministic Nonlinear Systems ({David Ruelle})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "328--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McCabe:1991:CFS, author = "J. H. McCabe", title = "Continued Fractions in Statistical Applications ({K. O. Bowman and L. R. Shenton})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "329--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Olver:1991:DET, author = "Peter J. Olver", title = "Differential Equations: Their Solution Using Symmetries ({Hans Stephani})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "330--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Protter:1991:LTS, author = "Philip Protter", title = "Limit Theorems for Stochastic Processes ({J. Jacod and A. N. Shiryaev})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "332--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rangarajan:1991:VRA, author = "Anand Rangarajan", title = "Visual Reconstruction ({Andrew Blake and Andrew Zisserman})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "333--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Robinson:1991:CDN, author = "Clark Robinson", title = "Chaotic Dynamics of Nonlinear Systems ({S. Neil Rasband})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "334--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rundle:1991:PES, author = "John B. Rundle", title = "Principles of Earthquake Source Mechanics ({B. V. Kostrov and Shamita Das})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "335--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Scott:1991:AAC, author = "Alwyn Scott", title = "Asymptotic Analysis of a Class of Perturbed {Korteweg--de Vries} Initial Value Problems ({F. DeKerf})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "337--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Smoller:1991:ALP, author = "Joel A. Smoller", title = "The Analysis of Linear Partial Differential Operators, {I} ({Lars Hormander})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "338--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wan:1991:HMA, author = "Yieh-Hei Wan", title = "The Hyperbolic Map and Applications to the Linear Quadratic Regulator ({B. J. Daiuto, T. T. Hartley, and S. P. Chicatelli})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "338--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Zlobec:1991:ITS, author = "S. Zlobec", title = "(2)-Inverses and Their Statistical Application ({Albert J. Getson and Francis C. Hsuan})", journal = j-SIAM-REVIEW, volume = "33", number = "2", pages = "338--??", month = jun, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Majda:1991:VTA, author = "Andrew J. Majda", title = "Vorticity, Turbulence, and Acoustics in Fluid Flow", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "349--388", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "76-02 (76C05 76F99 76J20 76Mxx 76Q05)", MRnumber = "92i:76001", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper presents recent and ongoing research in mathematical fluid dynamics and emphasizes the interdisciplinary interaction of ideas from large-scale computation, asymptotic methods, and mathematical theory. Three contemporary research topics are discussed in detail: (1) The generation of energetic small scales for incompressible fluid flow; (2) theories for eddy diffusivity and renormalization for turbulent transport; and (3) the interaction between nonlinear acoustics and vorticity in the development of instability in supersonic shear layers.", acknowledgement = ack-nhfb, affiliation = "Princeton Univ", affiliationaddress = "Princeton, NJ, USA", classification = "631; 651; 723; 921; 931", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Aerodynamics --- Supersonic; Computer Aided Analysis; Eddy Diffusivity; Euler Equations; Flow of Fluids --- Turbulent; Flow of Fluids --- Vortex Flow; Fluid Dynamics; Fluid Mechanics; Incompressible Fluid Flow; Mathematical Models; Nonlinear Acoustics; Nonlinear Schr{\"o}dinger Equation; Vortex Dynamics", } @Article{Bailey:1991:FFT, author = "David H. Bailey and Paul N. Swarztrauber", title = "The Fractional {Fourier} Transform and Applications", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "389--404", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65T20 (65Y20 94A12)", MRnumber = "92f:65162", MRreviewer = "Manfred Tasche", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper describes the `fractional Fourier transform,' which admits computation by an algorithm that has complexity proportional to the fast Fourier transform algorithm. Whereas the discrete Fourier transform (DFT) is based on integral roots of unity $e\+-2\pi/n$, the fractional Fourier transform is based on fractional roots of unity $e\+-2\pi@i\alpha$ where $\alpha$ is arbitrary. The fractional Fourier transform and the corresponding fast algorithm are useful for such applications as computing DFTs of sequences with prime lengths, computing DFTs of sparse sequences, analyzing sequences with noninteger periodicities, performing high-resolution trigonometric interpolation, detecting lines in noisy images, and detecting signals with linearly drifting frequencies. In many cases, the resulting algorithms are faster by arbitrarily large factors than conventional techniques.", acknowledgement = ack-nhfb, affiliation = "NASA Ames Research Cent", affiliationaddress = "Moffett Field, CA, USA", classification = "723; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Discrete Fourier Transforms; Fast Fourier Transforms; Fractional Fourier Transforms; Image Processing --- Image Analysis; Mathematical Techniques --- Interpolation; Mathematical Transformations; Noisy Images; Signal Detection; Trigonometric Interpolation", } @Article{Eijkhout:1991:RSC, author = "Victor Eijkhout and Panayot Vassilevski", title = "The role of the strengthened {Cauchy--Buniakowski{\u{\i}}--Schwarz} inequality in multilevel methods", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "405--419", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F10 (65N22 65N30)", MRnumber = "92h:65051", MRreviewer = "Shuzi Zhou", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The basic theory of the strengthened Cauchy--Buniakowski{\u{\i}}--Schwarz inequality and its applications in multilevel methods for the solution of linear systems arising from finite element or finite difference discretisation of elliptic partial differential equations is surveyed. Proofs are given both in a finite element context, and in purely algebraic form.", acknowledgement = ack-nhfb, affiliation = "Univ of Illinois", affiliationaddress = "Urbana, IL, USA", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Cauchy--Buniakowski{\u{\i}}--Schwarz Inequality; Elliptic Partial Differential Equations; Finite Element Method; Mathematical Techniques; Mathematical Techniques --- Differential Equations; Multilevel Methods", } @Article{Heath:1991:PAS, author = "Michael T. Heath and Esmond Ng and Barry W. Peyton", title = "Parallel Algorithms for Sparse Linear Systems", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "420--460", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F50 (65Y05)", MRnumber = "92e:65059", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper surveys recent progress in the development of parallel algorithms for solving sparse linear systems on computer architectures having multiple processors. Attention is focused on direct methods for solving sparse symmetric positive definite systems, specifically by Cholesky factorization. Recent progress on parallel algorithms is surveyed for all phases of the solution process, including ordering, symbolic factorization, numeric factorization, and triangular solution.", acknowledgement = ack-nhfb, affiliation = "Oak Ridge Natl Lab", affiliationaddress = "Oak Ridge, TN, USA", classification = "722; 723; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Cholesky Factorization; Computer Programming --- Algorithms; Computer Systems, Digital; Computers, Digital --- Special Purpose Application; Mathematical Techniques --- Linear Algebra; MIMD Machines; Numeric Factorization; Parallel Processing; Sparse Linear Systems; Symbolic Factorization", } @Article{Stone:1991:ESP, author = "Richard E. Stone and Craig A. Tovey", title = "Erratum: {``The simplex and projective scaling algorithms as iteratively reweighted least squares methods''}", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "461--461", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C05", MRnumber = "92h:90077b", MRreviewer = "Nada I. Djuranovi{\'c}-Mili{\v{c}}i{\v{c}}", bibdate = "Fri Oct 27 14:55:53 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Stone:1991:SPS}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Adam:1991:AIC, author = "John A. Adam", title = "Activator-inhibitor control of tissue growth", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "462--466", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This note develops a simple model for the competition between activator and inhibitor control mechanisms in one-dimensional tissue growth. The pedagogic usefulness of such a model is that it is easily accessible to undergraduate applied mathematicians and is suggestive of behavior known to occur in more realistic biological systems (e.g., some types of cancer). The limitations of the model are obvious and can provide a basis for discussion of the applicability of complementary levels of description in mathematical modeling.", acknowledgement = ack-nhfb, affiliation = "Old Dominion Univ", affiliationaddress = "Norfolk, VA, USA", classification = "461; 921; 931", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Activator-Inhibitor Mechanisms; Biological Materials --- Tissue; Biomedical Engineering; Diffusion; Enzymes; Host Tissue; Living Systems Studies; Mathematical Models; Mathematical Techniques --- Boundary Value Problems; Target Tissue; Tissue Growth", } @Article{MacCluer:1991:CIP, author = "C. R. MacCluer and Yossi Chait", title = "Choosing an inner product that separates variables", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "467--471", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35A25 (35C99 47F05)", MRnumber = "92f:35015", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "As has been often observed, a physically natural inner product will exist that orthogonally decouples the time and space eigenmodes under the assumptions most frequently encountered in linear distributed problems. This tutorial practices this approach by working through several practical examples.", acknowledgement = ack-nhfb, affiliation = "Michigan State Univ", affiliationaddress = "East Lansing, MI, USA", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Differential Equations; Differential Operator; Inner Product; Linear Distributed Systems; Mathematical Techniques; Mathematical Techniques --- Eigenvalues and Eigenfunctions; Orthogonal Eigenfunctions; Time/Space Eigenmodes Decoupling", } @Article{Dold:1991:MPC, author = "J. W. Dold", title = "Mathematical Problems from Combustion Theory ({Jerrold Bebernes and David Eberly})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "484--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ludwig:1991:ETD, author = "Donald Ludwig", title = "Estimation Techniques for Distributed Parameter Systems ({H. T. Banks and K. Kunisch})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "486--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Buck:1991:MCT, author = "R. Creighton Buck", title = "Modern Cryptology: {A} Tutorial ({Gilles Brassard})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "487--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Liu:1991:IMI, author = "Xiaosong Liu", title = "Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations ({P. Constantin, C. Foias, B. Nicolaenko, and R. Temam})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "489--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wimp:1991:BHS, author = "Jet Wimp", title = "Basic Hypergeometric Series ({George Gasper and Mizan Rahman})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "489--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kazarinoff:1991:HBN, author = "Nicholas D. Kazarinoff", title = "{Huygens} and {Barrow}, {Newton} and {Hooke}: Pioneers in Mathematical Analysis and Catastrophe Theory from Evolvents to Quasicrystals ({V. I. Arnol'd; trans. by Eric J. F. Primrose})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "493--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Coomes:1991:MAC, author = "Brian Coomes", title = "Multiphase Averaging for Classical Systems: With Applications to Adiabatic Theorems ({P. Lochak and C. Meunier; trans. by H. S. Dumas})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "495--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Good:1991:SFI, author = "I. J. Good", title = "The Science of Fractal Images ({Heinz-Otto Peitgen and Dietmar Saupe, eds.})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "496--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Totik:1991:AMS, author = "Vilmos Totik", title = "The Averaged Moduli of Smoothness: With Applications in Numerical Methods and Approximation ({Blagovest Sendov and Vasil {A}. Popov; trans. ed., {G}. {M}. Phillips})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "499--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jetter:1991:ASF, author = "Kurt Jetter", title = "Approximation by Spline Functions ({Gunther Nurnberger})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "501--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Artstein:1991:OST, author = "Zvi Artstein", title = "Optimization and Stability Theory for Economic Analysis ({Brian Beavis and Ian Dobbs})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "502--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Schumaker:1991:SMO, author = "Larry L. Schumaker", title = "Spline Models for Observational Data ({Grace Wahba})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "502--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Antonelli:1991:PCM, author = "P. L. Antonelli", title = "Plant and Crop Modelling ({John {H}. {M}. Thornley and Ian {R} Johnson})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "503--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Campbell:1991:NSD, author = "Stephen L. Campbell", title = "The Numerical Solution of Differential-Algebraic Systems by {Runge--Kutta} Methods ({Ernst Hairer, Christian Lubich, and Michel Roche})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "504--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pitman:1991:NMC, author = "E. Bruce Pitman", title = "Numerical Methods for Conservation Laws ({Randall {J}. {LeVeque}})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "506--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Boulware:1991:AQF, author = "David G. Boulware", title = "Aspects of Quantum Field Theory in Curved Space-Time ({S. A. Fulling})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "508--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wightman:1991:FQE, author = "Arthur S. Wightman", title = "Finite Quantum Electrodynamics ({G. Scharf})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "508--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dimock:1991:FAI, author = "J. Dimock", title = "Functional Analysis: An Introduction for Physicists ({Nino Boccara})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "509--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Baker:1991:MFC, author = "George A. Baker", title = "Mathematical Foundations of Classical Statistical Mechanics: Continuous Systems ({D. Ya. Petrina, V. I. Gerasimenko, and P. V. Malyshev; trans. by P. V. Malyshev and D. V. Malyshev})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "510--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lord:1991:TBE, author = "W. Lord", title = "Topics in Boundary Element Research. Vol. 6: Electromagnetic Applications ({C. A. Brebbia, ed.})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "510--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stuart:1991:MTA, author = "Jeffrey L. Stuart", title = "Matrix Theory and Applications ({Charles {R}. Johnson, ed.})", journal = j-SIAM-REVIEW, volume = "33", number = "3", pages = "511--??", month = sep, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Asch:1991:FCR, author = "M. Asch and W. Kohler and G. Papanicolaou and M. Postel and B. White", title = "Frequency Content of Randomly Scattered Signals", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "519--625", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "73D35 (60H15 73B35 76Q05 86A15)", MRnumber = "93f:73041", MRreviewer = "Marcel Ovidiu Vlad", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The statistical properties of acoustic signals reflected by a randomly layered medium are analyzed when a pulsed spherical wave issuing from a point source is incident upon it. The asymptotic analysis of stochastic equations and geometrical acoustics is used to arrive at a set of transport equations that characterize multiply scattered signals observed at the surface of the layered medium. The results of extensive numerical simulations are presented, illustrating the scope of the theory. A number of inverse problems for randomly layered media are also formulated where we recover large-scale properties of the sound speed profile from the statistics of reflected signals.", acknowledgement = ack-nhfb, affiliation = "Courant Inst of Mathematical Sciences", affiliationaddress = "New York, NY, USA", classification = "751; 752; 921; 922", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Acoustic Signal Processing; Acoustic Waves --- Propagation; Acoustic Waves --- Reflection; Analysis; Frequency Content; Geometric Acoustics; Mathematical Techniques --- Numerical Methods; Random Media; Spherical Waves; Stochastic Equations", } @Article{Glimm:1991:NSP, author = "James Glimm", title = "Nonlinear and Stochastic Phenomena: The Grand Challenge for Partial Differential Equations", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "626--643", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35L65 (35R60 58F13 58F35 76L05 76M99)", MRnumber = "92i:35081", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The major problems for partial differential equations are either nonlinear or stochastic or both. The nonlinear structures emphasized here are the nonlinear hyperbolic waves, which occur in the solutions of nonlinear hyperbolic conservation laws and associated dissipative equations. These equations are those most commonly used to model physical and chemical processes in continuum systems. Stochastic solutions of partial differential equations may result from stochastic data. Stochastic solutions can also result from internal considerations, i.e., from instabilities inherent in the equation itself, if the equation is nonlinear. The instabilities which give rise to chaotic solutions are generally unstable on a very large range of length scales, or in some approximation, on all length scales. Fractal geometries provide one model for the typically intermittent, or blotchy, chaos which can occur, and the renormalization group is an analytic tool which in some cases has given a quantitatively correct theory of chaotic solutions of partial differential equations.", acknowledgement = ack-nhfb, affiliation = "State Univ of New York", affiliationaddress = "Stony Brook, NY, USA", classification = "921; 922", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Differential Equations; Fractal Geometry; Hyperbolic Waves; Mathematical Techniques; Mathematical Techniques --- Nonlinear Equations; Partial Differential Equations; Probability --- Random Processes; Stochastic Phenomena", } @Article{Criminale:1991:EBN, author = "W. O. Criminale and T. F. Mar", title = "Electric bell as a nonlinear oscillator", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "644--649", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A nonlinear autonomous model is constructed to explain the fundamental motion of the electric doorbell. Operation is graphically depicted under a variety of physical conditions by numerical integration of the governing equations.", acknowledgement = ack-nhfb, affiliation = "Univ of Washington", affiliationaddress = "Seattle, WA, USA", classification = "701; 704; 752; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Bells; Electric Doorbells; Electromagnetic Devices; Electromagnets --- Applications; Hysteresis; Magnetic Forces; Mathematical Models; Mathematical Techniques --- Numerical Methods; Nonlinear Oscillators; Oscillators --- Mathematical Models; Phase Plane", } @Article{Sedaghat:1991:MSA, author = "Hassan Sedaghat", title = "Measuring the speed and altitude of an aircraft using similar triangles", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "650--654", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "In this note a simple and sometimes practical method is devised with which the average speed and the cruising altitude of an aircraft in flight can be computed from a window seat inside the aircraft. No knowledge of the mechanical structure of the vehicle is assumed. Rather, either two separate time measurements or a time and a length measurement are used allowing one to construct sets of similar triangles. These triangles can then be used to derive the formulas for speed and altitude. This method can also be used to determine the average speed of moving ground vehicles such as trains and buses.", acknowledgement = ack-nhfb, affiliation = "Virginia Commonwealth Univ", affiliationaddress = "Richmond, VA, USA", classification = "652; 921; 943", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Aircraft --- Measurements; Aircraft Altitude Measurement; Aircraft Speed Measurement; Mathematical Models; Mathematical Techniques --- Geometry; Mechanical Variables Measurement; Mechanical Variables Measurement --- Velocity; Similar Triangles", } @Article{Braunfeld:1991:MGA, author = "Peter Braunfeld", title = "The Mathematics of Great Amateurs ({Julian Lowell Coolidge})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "663--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Maybee:1991:PGT, author = "John S. Maybee", title = "Pearls in Graph Theory: Comprehensive Introduction ({N Hartsfield and G. Ringel})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "664--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Meyer:1991:IDS, author = "Kenneth R. Meyer", title = "An Introduction to Dynamical Systems ({D. K. Arrowsmith and C. M. Place})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "664--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bryant:1991:CDI, author = "Peter J. Bryant", title = "Chaotic Dynamics: An Introduction ({Gregory Baker and Jerry Gollub})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "666--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{MacKay:1991:CSN, author = "R. S. MacKay", title = "Chaos in Systems with Noise ({Tomasz Kapitaniak})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "666--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Devaney:1991:MTF, author = "Robert L. Devaney", title = "Measure, Topology, and Fractal Geometry ({Gerald {A}. Edgar})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "668--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Easton:1991:ODE, author = "Robert W. Easton", title = "Ordinary Differential Equations: An Introduction to Nonlinear Analysis ({Herbert Amann; Gerhard Metzen, trans.})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "669--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Waxler:1991:CMS, author = "Roger Waxler", title = "A Course in Mathematics for Students of Physics, Vol. 2 ({Paul Bamberg and Shlomo Sternberg})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "670--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tze:1991:OSS, author = "Leung Lai Tze", title = "Optimization of Stochastic Systems: Topics in Discrete-Time Dynamics ({Masanao Aoki})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "671--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yang:1991:AMA, author = "Huijun Yang", title = "Asymptotic Modeling of Atmospheric Flows ({R. Zeytounian})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "672--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Glimm:1991:PFT, author = "James Glimm", title = "The Physics of Fluid Turbulence ({W. D. McComb})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "673--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pullin:1991:GRI, author = "Jorge Pullin", title = "General Relativity. An Introduction to the Theory of the Gravitational Field ({Hans Stephani; Martin Pollock and John Stewart, trans.; John Stewart, ed.})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "674--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gardner:1991:SEP, author = "Carl L. Gardner", title = "Semiconductor Equations ({P. A. Markowich, C. A. Ringhofer, and C. Schmeiser})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "675--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Saigal:1991:NCM, author = "Romesh Saigal", title = "Numerical Continuation Methods, An Introduction ({Eugene Allgower and Kurt Georg})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "675--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hinich:1991:SSA, author = "Melvin J. Hinich", title = "Statistical Spectral Analysis: {A} Nonprobabilistic Theory ({William {A}. Gardner})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "677--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Duffy:1991:KGM, author = "Joseph Duffy", title = "Kinematic Geometry of Mechanisms ({K. H. Hunt})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "678--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Spillers:1991:IHS, author = "W. R. Spillers", title = "An Introduction to the History of Structural Mechanics Part {I}: Statics and Resistance of Solids, Part {II}: Vaulted Structures and Elastic Systems ({Edoardo Benvenuto})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "679--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Weiser:1991:MAM, author = "Alan Weiser", title = "Multilevel Adaptive Methods for Partial Differential Equations ({Stephen {F}. {McCormick}})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "680--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sherman:1991:MMT, author = "Arthur Sherman", title = "Mathematical Modelling. {A} Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences ({D. N. P. Murthy, N. W. Page, and E. Y. Rodin})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "681--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jerome:1991:EDI, author = "Joseph W. Jerome", title = "Electro-Diffusion of Ions ({Isaak Rubinstein})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "682--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Al-Khayyal:1991:NCM, author = "Faiz Al-Khayyal and Panos Pardalos", title = "New Computer Methods for Global Optimization ({H. Ratschek and J. Rokne})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "684--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hubner:1991:AMC, author = "Gerhard Hubner", title = "Adaptive {Markov} Control Processes ({D. Hernandez-Lerma})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "686--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dixon:1991:PEE, author = "Philip M. Dixon", title = "Parameter Estimation in Ecology: The Link Between Data and Models ({O. Richter and D. Sondgerath})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "687--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ruohonen:1991:ART, author = "Matti Ruohonen", title = "Aspects of Risk Theory ({Jan Grandell})", journal = j-SIAM-REVIEW, volume = "33", number = "4", pages = "688--??", month = dec, year = "1991", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Keener:1992:DSW, author = "James P. Keener and John J. Tyson", title = "The Dynamics of Scroll Waves in Excitable Media", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "1--39", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "92C50 (35K57 92C05)", MRnumber = "92k:92010", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "An overview is given of the attempts to understand the behavior of scroll waves in three-dimensional excitable media using analytical methods, and these results are compared with recent numerical and experimental results. The behavior of untwisted planar scroll rings, twisted rings and helices, and knotted scroll wave filaments is discussed.", acknowledgement = ack-nhfb, affiliation = "Univ of Utah", affiliationaddress = "Salt Lake City, UT, USA", classification = "931", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Dynamics; Equations of Motion; Excitable Media; Scroll Waves; Waves", } @Article{Butzer:1992:STN, author = "P. L. Butzer and R. L. Stens", title = "Sampling Theory for Not Necessarily Band-Limited Functions: {A} Historical Overview", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "40--53", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "94A12 (94-01 94-03)", MRnumber = "92m:94004", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Shannon's sampling theorem is one of the most powerful results in signal analysis. The aim of this overview is to show that one of its roots is a basic paper of de la Vallee Poussin of 1908. The historical development of sampling theory from 1908 to the present, especially the matter dealing with not necessarily band-limited functions (which includes the duration-limited case actually studied in 1908), is sketched. Emphasis is put on the study of error estimates, as well as on the delicate point-wise behavior of sampling sums at discontinuity points of the signal to be reconstructed.", acknowledgement = ack-nhfb, affiliation = "Rheinisch-Westfalische Technische Hochschule Aachen", affiliationaddress = "Aachen, Ger", classification = "731; 922", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Error Estimates; Sampling --- Theory; Signal Analysis; Signal Theory", } @Article{Du:1992:AAG, author = "Qiang Du and Max D. Gunzburger and Janet S. Peterson", title = "Analysis and Approximation of the {Ginzburg--Landau} Model of Superconductivity", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "54--81", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "82D55 (35Q55 65P05)", MRnumber = "93g:82109", MRreviewer = "Tatiana Bilgildeyeva", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The authors consider the Ginzburg--Landau model for superconductivity. First some well-known features of superconducting materials are reviewed and then various results concerning the model, the resultant differential equations, and their solution on bounded domains are derived. Then, finite element approximations of the solutions of the Ginzburg--Landau equations are considered and error estimates of optimal order are derived.", acknowledgement = ack-nhfb, affiliation = "Univ of Chicago", affiliationaddress = "IL, USA", classification = "701; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Error Estimates; Ginzberg--Landau Model; Mathematical Models; Mathematical Techniques --- Differential Equations; Mathematical Techniques --- Finite Element Method; Superconductivity", } @Article{Liu:1992:MMS, author = "Joseph W. H. Liu", title = "The Multifrontal Method for Sparse Matrix Solution: Theory and Practice", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "82--109", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F50 (65F25)", MRnumber = "92m:65062", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper presents an overview of the multifrontal method for the solution of large sparse symmetric positive definite linear systems. The method is formulated in terms of frontal matrices, update matrices, and an assembly tree. Formal definitions of these notions are given based on the sparse matrix structure. Various advances to the basic method are surveyed. They include the role of matrix reorderings, the use of supernodes, and other implementation techniques. The use of the method in different computational environments is also described.", acknowledgement = ack-nhfb, affiliation = "York Univ", affiliationaddress = "North York, Ont, Can", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Mathematical Techniques; Mathematical Techniques --- Numerical Methods; Matrix Algebra; Multifrontal Method; Sparse matrices", } @Article{Angus:1992:SBE, author = "John E. Angus", title = "Some bounds on the error in approximating transition probabilities in continuous-time {Markov} processes", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "110--113", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60J27 (60J35)", MRnumber = "1 156 291", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Goldberg:1992:MTD, author = "M. Goldberg and D. L. Powers", title = "A machine-tool design", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "114--117", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C27 (05C15)", MRnumber = "1 156 292", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hersh:1992:MND, author = "Reuben Hersh", title = "In Memoriam: Nicholas {D}. Kazarinoff", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "127--127", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "01A70", MRnumber = "92k:01029", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Uribe:1992:PDO, author = "Alejandro Uribe", title = "Pseudo-differential Operators ({S. R. Simanca})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "128--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hastings:1992:DED, author = "S. P. Hastings", title = "Differential Equations and Dynamical Systems ({Lawrence Perko})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "129--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chunqing:1992:RDE, author = "Lu Chunqing", title = "Reaction-Diffusion Equations ({K. J. Brown and A. A. Lacey, eds.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "131--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kershaw:1992:MAN, author = "D. Kershaw", title = "Mathematical Analysis and Numerical Methods for Science and Technology. Vol. 4. Integral Equations and Numerical Methods for Science and Technology ({Robert Dautray and Jacques-Louis Lions; John {C}. Amson, trans.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "132--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Antman:1992:MNL, author = "Stuart S. Antman", title = "Mechanics: From {Newton}'s Laws to Deterministic Chaos ({Florian Scheck})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "135--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Guizhang:1992:ISC, author = "Tu Guizhang", title = "Integrable Systems of Classical Mechanics and {Lie} Algebras, Vol. {I} ({A. M. Perelomov; A. G. Reyman, trans.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "137--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Caflisch:1992:TPF, author = "Russel Caflisch", title = "Two Phase Flows and Waves ({Daniel {D}. Joseph and David {G} Schaeffer, eds.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "138--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pipkin:1992:FDV, author = "Allen C. Pipkin", title = "Fluid of Dynamics of Viscoelastic Liquids ({D. D. Joseph})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "138--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Butcher:1992:DED, author = "J. C. Butcher", title = "Difference Equations from Differential Equations ({W. J. Lick})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "140--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cumberbatch:1992:CAM, author = "Ellis Cumberbatch", title = "A Concrete Approach to Mathematical Modelling ({Michael Mesterton-Gibbons})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "140--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Deift:1992:DIP, author = "Percy Deift", title = "Direct and Inverse Problems: Potentials in Quantum Scattering ({Boris Zakhariev and Allina Suzko; {G}. Pontecorvo, trans.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "141--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Antonelli:1992:ABP, author = "Peter L. Antonelli", title = "The Algorithmic Beauty of Plants ({Przemyslaw Prusinkiewicz and Aristid Lindenmayer})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "142--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{OMalley:1992:SPS, author = "R. E. O'Malley", title = "Singular Perturbations {I}. Spaces and Singular Perturbations on Manifolds without Boundaries ({L. S. Frank})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "142--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sikorski:1992:HNA, author = "K. Sikorski", title = "Handbook of Numerical Analysis. Vol. 1: Finite Difference Methods (Part 1) and Solution of Equations in Rsup n (Part 1) ({P. G. Ciarlet and J. L. Lions, eds.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "143--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Durrett:1992:PMS, author = "Rick Durrett", title = "Probability Metrics and the Stability of Stochastic Models ({Sveltozar {T}. Rachev})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "147--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McAllister:1992:PTA, author = "M. Luisa N. McAllister", title = "Possibility Theory: An Approach to Computerized Processing of Uncertainty ({Didier Dubois and Henri Prade; with {H}. Farreny, {R}. Martin-Clouaire, and {C}. Testemale; {E}. {F}. Harding, trans.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "147--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Parzen:1992:SMF, author = "Emanuel Parzen", title = "A Statistical Model: {Frederick Mosteller}'s Contributions to Statistics, Science, and Public Policy ({S. E. Fienberg, D. C. Hoaglin, W. H. Kruskal, and J. M. Tanur, eds.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "147--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:25:37 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Woods:1992:RSS, author = "John W. Woods", title = "Random Signals and Systems ({Richard {E}. Mortensen})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "148--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stark:1992:NLS, author = "Jaroslav Stark", title = "Non-Linear Series: {A} Dynamical System Approach ({Howell Tong})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "149--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ellickson:1992:EAT, author = "Bryan Ellickson", title = "The Econometric Analysis of Transition Data ({Tony Lancaster})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "151--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Artstein:1992:EOC, author = "Zvi Artstein", title = "Existence and Optimality of Competitive Equilibria ({Charalambos Aliprantis, Donald Brown, and Owen Burkinshaw})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "152--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yang:1992:SPE, author = "Grace L. Yang", title = "Stochastic Processes in Epidemic Theory ({J.-P. Gabriel, C. Lefevre, and P. Picard, eds.})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "153--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Parzen:1992:FST, author = "Emanuel Parzen", title = "Forecasting, Structural Time Series and the {Kalman} Filter ({Andrew {C}. Harvey})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "155--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Coleman:1992:NEG, author = "William P. Coleman", title = "Nonlinear Estimation ({Gavin {J}. {S}. Ross})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "156--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Berk:1992:RAA, author = "Kenneth N. Berk", title = "Regression Analysis ({Ashish Sen and Muni Srivastava})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "157--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kazarinoff:1992:IES, author = "Nicholas D. Kazarinoff", title = "{IBM}'s 360 and Early 370 Systems ({Emerson W. Pugh, Lyle R. Johnson, and John H. Palmer})", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "158--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:26:36 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ciarlet:1992:ARR, author = "P. G. Ciarlet", title = "Author's reply to the review of {Introduction to Numerical Linear Algebra and Optimization}", journal = j-SIAM-REVIEW, volume = "34", number = "1", pages = "159--??", month = mar, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:25:44 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gonzaga:1992:PFM, author = "Clovis C. Gonzaga", title = "Path-Following Methods for Linear Programming", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "167--224", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C05 (90-02)", MRnumber = "93j:90050", MRreviewer = "F. Pickel", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "In this paper a unified treatment of algorithms is described for linear programming methods based on the central path. This path is a curve along which the cost decreases, and that stays always far from the boundary of the feasible set. Several parameterizations of this curve are described in primal and primal-dual problems, and it is shown how different algorithms are obtained by following the curve using different parameterizations. Polynomial algorithms are obtained by following the curve approximately, and this concept becomes precise by using explicit rules for measuring the proximity of a point in relation to the central path.", acknowledgement = ack-nhfb, affiliation = "Federal Univ of Rio de Janeiro", affiliationaddress = "Rio de Janeiro, Braz", classification = "723.1; 921.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Interior point methods; Linear programming; Parametrization; Path following methods; Polynomials", } @Article{Pan:1992:CCM, author = "Victor Pan", title = "Complexity of Computations with Matrices and Polynomials", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "225--262", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65Y20 (12Y05 65F05 68Q25 68Q40)", MRnumber = "93g:65179", MRreviewer = "D. Bini", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper reviews the complexity of polynomial and matrix computations, as well as their various correlations to each other and some major techniques for the design of algebraic and numerical algorithms.", acknowledgement = ack-nhfb, affiliation = "State Univ of New York", affiliationaddress = "Albany, NY, USA", classification = "721.1; 723.1; 921.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Computation theory; Computational complexity; Computer programming; Matrix computations; Numerical linear algebra; Polynomial complexity; Polynomials", } @Article{Dontchev:1992:DMD, author = "Asen Dontchev and Frank Lempio", title = "Difference Methods for Differential Inclusions: {A} Survey", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "263--294", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34A60 (34A50 49J24 65L05)", MRnumber = "93g:34024", MRreviewer = "Zvi Artstein", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The main objective of this survey is to study convergence properties of difference methods applied to differential inclusions. It presents, in a unified way, a number of results scattered in the literature and provides also an introduction to the topic. Convergence proofs for the classical Euler method and for a class of multistep methods are outlined. It is shown how numerical methods for stiff differential equations can be adapted to differential inclusions with additional monotonicity properties. Together with suitable localization procedures, this approach results in higher-order methods. Convergence properties of difference methods with selection strategies are investigated, especially strategies forcing convergence to solutions with additional smoothness properties. The error of the Euler method, represented by the Hausdorff distance between the set of approximate solutions and the set of exact solutions is estimated. First-and second-order approximations to the reachable sets are presented.", acknowledgement = ack-nhfb, affiliation = "Bulgarian Acad of Sciences", affiliationaddress = "Sofia, Bulg", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Convergence of numerical methods; Difference equations; Difference methods; Differential inclusions; Mathematical techniques; Oscillating systems; Vehicle dynamics", } @Article{Morgan:1992:CPG, author = "Frank Morgan", title = "Calculus, planets, and general relativity", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "295--299", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "01-01 (83-03)", MRnumber = "93b:01002", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "In explaining the motions of the planets, Newton invented the calculus, John Couch Adams predicted Neptune, and Einstein developed general relativity. (The full story now includes a surprise appearance by Galileo.) This article includes a very simplified explanation of general relativity and Mercury's precession.", acknowledgement = ack-nhfb, affiliation = "William Coll", affiliationaddress = "Williamstown, MA, USA", classification = "657.2; 921; 931.5", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Astronomy; Calculus; Galileo; Isaac Newton; Mathematical models; Mathematical techniques; Mercury precession; Neptune; Planetary motion; Planets; Relativity", } @Article{Tudor:1992:MEP, author = "David Tudor", title = "Modeling the effect of public health campaigns on the spread of aids", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "300--303", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A series of combined epidemic and public health campaign models is developed that examines the effects of public health campaigns on the long-term spread of AIDS. This series of models can be useful in the different equations classroom to demonstrate how models of increasing complexity are built and analyzed, interpreted, and further modified. It is hoped that the students will also be helped to appreciate the applicability of differential equations to questions of current interest outside the field of mathematics.", acknowledgement = ack-nhfb, affiliation = "Bradley Univ", affiliationaddress = "Peoria, IL, USA", classification = "461.6; 461.7; 921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Acquired immune deficiency syndrome; Differential equations; Epidemiology; Health care; Mathematical models; Public health campaigns; Spread of aids", } @Article{Angus:1992:ADA, author = "John E. Angus", title = "An alternative derivation of asymptotic normality for sample quantiles", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "304--306", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "62E20", MRnumber = "93c:62024", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A derivation of the asymptotic normality of sample quantiles, under the usual regularity conditions, is presented. The derivation is unique in that it employs two basic methods of analysis that are important and highly useful to applied probabilists and statisticians: the `delta rule' and `equal-in-distribution' technique.", acknowledgement = ack-nhfb, affiliation = "Claremont Graduate Sch", affiliationaddress = "Claremont, CA, USA", classification = "921; 922", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Asymptotic normality; Delta rule; Large sample theory; Mathematical techniques; Order statistics; Random processes; Sampile quantiles; Sampling; Statistical methods", } @Article{Berk:1992:SSR, author = "Kenneth N. Berk", title = "Subset Selection in Regression ({A. J. Miller})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "325--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Beutler:1992:CNS, author = "Frederick J. Beutler", title = "Computer Networks and Systems: Queueing Theory and Performance Evaluation ({Thomas {G}. Robertazzi})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "326--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jones:1992:GSM, author = "Alan K. Jones", title = "Geometric and Solid Modeling: An Introduction ({Christoph {M} Hoffman})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "327--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Scott:1992:MMR, author = "Peter D. Scott", title = "Minimalist Mobile Robotics. {A} Colony-Style Architecture for an Artificial Creature ({Jonathan {H}. Connell})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "329--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Baker:1992:MFC, author = "George A. Baker", title = "Mathematical Foundations of Classical Statistical Mechanics: Continuous Systems ({D. Ya. Petrina, V. I. Gerasimenko, and P. V. Malyshev})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "330--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cheng:1992:ADD, author = "H. K. Cheng", title = "Airfoil Design and Data ({Richard Eppler})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "331--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Devaney:1992:FAD, author = "Robert L. Devaney", title = "Fractals: An Animated Discussion with {Edward Lorenz} and {Benoit Mandelbrot} ({H.-O. Peitgen, H. Jurgens, D. Saupe, and C. Zahlten})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "333--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kemperman:1992:RWR, author = "J. H. B. Kemperman", title = "Random Walk in Random and Non-Random Environments ({Pal Revesz})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "335--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Klamkin:1992:UPI, author = "Murray S. Klamkin", title = "Unsolved Problems in Intuitive Mathematics, Vol. {II}, Unsolved Problems in Geometry ({H. T. Croft, K. J. Falconer, and R. K. Guy})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "335--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mode:1992:BRB, author = "Charles J. Mode", title = "Book Review: {{\booktitle{Random Number Generators and Simulation}}, by Istvan Deak}", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "338--341", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pinkham:1992:ANR, author = "Roger Pinkham", title = "Applied Nonparametric Regression ({Wolfgang Hardle})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "341--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Port:1992:CSS, author = "Daniel Port", title = "A Course in Simulation ({Sheldon {M}. Ross})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "342--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ratiu:1992:CMH, author = "Tudor Ratiu", title = "Convexity Methods in {Hamiltonian} Mechanics ({Ivar Ekeland})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "343--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ruohonen:1992:ERE, author = "Matti Ruohonen", title = "Engineering Risks: Evaluation and Valuation ({Ulrich Hauptmanns and Wolfgang Werner})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "345--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wahlbin:1992:NEE, author = "Lars B. Wahlbin", title = "Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations ({A. Zenisek})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "346--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{White:1992:SPM, author = "Donald B. White", title = "Sampling of Populations: Methods and Applications ({Paul Levy and Stanley Lemeshow})", journal = j-SIAM-REVIEW, volume = "34", number = "2", pages = "347--??", month = jun, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Berger:1992:RAI, author = "Marc A. Berger", title = "Random Affine Iterated Function Systems: Curve Generation and Wavelets", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "361--385", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "58F08 (58F11 60J20 68U05)", MRnumber = "93g:58069", MRreviewer = "Remo Badii", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jeffries:1992:NCL, author = "Clark Jeffries", title = "A New Conservation Law for Classical Electrodynamics", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "386--405", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "78A20 (78A25)", MRnumber = "93i:78005", MRreviewer = "A. P. Stone", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Schmid:1992:SKQ, author = "Rudolf Schmid", title = "Strings, Knots, and Quantum Groups: {A} Glimpse at Three 1990 Fields Medalists", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "406--425", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "01A65 (00A05 00A79 81R50 81T30)", MRnumber = "93i:01023", MRreviewer = "Louis H. Kauffman", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hoppensteadt:1992:SPM, author = "F. C. Hoppensteadt", title = "Signal Processing by Model Neural Networks", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "426--444", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "68T05 (82C32 92B20)", MRnumber = "1 180 071", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Arino:1992:SSP, author = "O. Arino", title = "Some Spectral Properties for the Asymptotic Behavior of Semigroups Connected to Population Dynamics", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "445--476", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "47D06 (34G10 47B65 47N20 92D25)", MRnumber = "93h:47051", MRreviewer = "R. Nagel", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Huestis:1992:IFO, author = "Stephen P. Huestis", title = "Interpolation formulas for oversampled band-limited functions", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "477--481", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "42-01", MRnumber = "1 180 073", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McCartin:1992:AAD, author = "Brian J. McCartin", title = "An alternative analysis of {Duffing}'s equation", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "482--491", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34C15 (34C25 34D10 70K20 70K40)", MRnumber = "93e:34050", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Massell:1992:QWP, author = "Paul B. Massell", title = "A quick way to prove the existence of centers in two-dimensional almost linear systems", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "492--495", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34C05 (34C15)", MRnumber = "93d:34053", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Askey:1992:HFT, author = "Richard Askey", title = "Hypergeometric Functions and Their Applications ({James {B} Seaborn})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "503--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Beskos:1992:ECA, author = "Dimitri E. Beskos", title = "Elastic Contact Analysis by Boundary Elements ({S. Takahasi})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "503--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Corduneanu:1992:FDE, author = "C. Corduneanu", title = "Functional Differential Equations with Infinite Delay ({Y Hino, S. Murakami, and T. Naito})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "504--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Corsten:1992:SMG, author = "L. C. A. Corsten", title = "Statistical Methods: The Geometric Approach ({David {J}. Saville and Graham {R}. Wood})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "506--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Firey:1992:GEC, author = "William J. Firey", title = "Geometric Etudes in Combinatorial Mathematics ({Vladimir {G} Boltyanski and Alexander Soifer})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "508--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Guenther:1992:ALC, author = "Ronald B. Guenther", title = "{Augustin-Louis Cauchy}: {A} Biography ({Bruno Belhoste; Frank Ragland, transl.})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "508--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hochstadt:1992:IEP, author = "Harry Hochstadt", title = "Integral Equations, {A} Practical Treatment, From Spectral Theory to Applications ({David Porter and David {S}. {G}. Stirling})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "509--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jones:1992:SLP, author = "D. S. Jones", title = "The Scientific Letters and Papers of {James Clerk Maxwell} Volume 1: 1846--1862 ({P. M. Harman, ed.})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "511--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{MacSithigh:1992:MEV, author = "Gearoid P. {Mac Sithigh}", title = "Mathematical Elasticity: Volume One: Three-Dimensional Elasticity ({Phillipe G. Ciarlet})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "513--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mecke:1992:FCG, author = "J. Mecke", title = "Factorization Calculus and Geometric Probability ({R. V. Ambartzumian})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "514--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{ORourke:1992:MAS, author = "Joseph O'Rourke", title = "{Mathematica} in Action ({Stan Wagon})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "515--516", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Feb 5 09:33:30 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pflederer:1992:NCM, author = "Steven J. Pflederer", title = "Numerical Control: Making a New Technology ({J. Francis Reintjes})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "517--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Picard:1992:SEF, author = "Rainer Picard", title = "Singular Electromagnetic Fields and Sources ({J. Van Bladel})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "517--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Raz:1992:ACS, author = "Tzvi Raz", title = "The Art of Computer Systems Performance Analysis: Techniques for Experimental Design, Measurement, Simulation, and Modeling ({Raj Jain})", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "518--??", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Webster:1992:RMS, author = "Michael Webster", title = "Review of ``{Mathematica: A System for Doing Mathematics by Computer, Second Edition, by Stephen Wolfram}''", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "519--522", month = "????", year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", fjournal = "SIAM Review", } @Article{Wester:1992:RMS, author = "Michael Wester", title = "Review of ``{Mathematica: A System for Doing Mathematics by Computer, Second Edition, by Stephen Wolfram}''", journal = j-SIAM-REVIEW, volume = "34", number = "3", pages = "519--522", month = sep, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Feb 5 09:33:30 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chapman:1992:MMS, author = "S. J. Chapman and S. D. Howison and J. R. Ockendon", title = "Macroscopic Models for Superconductivity", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "529--560", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "82D55", MRnumber = "94b:82037", MRreviewer = "Tatiana Bilgildeyeva", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hansen:1992:ADI, author = "Per Christian Hansen", title = "Analysis of discrete ill-posed problems by means of the ${L}$-curve", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "561--580", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F20 (65F30)", MRnumber = "93k:65035", MRreviewer = "Jin Xi Zhao", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Xu:1992:IMS, author = "Jinchao Xu", title = "Iterative Methods by Space Decomposition and Subspace Correction", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "581--613", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F10 (65M55 65M60 65N30 65N55)", MRnumber = "93k:65029", MRreviewer = "Jan Z{\'i}tko", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hajmirzaahmad:1992:SSO, author = "Mojdeh Hajmirzaahmad and Allan M. Krall", title = "Singular Second-Order Operators: The Maximal and Minimal Operators, and Self-adjoint Operators In Between", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "614--634", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34L05 (34B20 47E05)", MRnumber = "94b:34111", MRreviewer = "Robert M. Kauffman", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Moser:1992:CPD, author = "Louise E. Moser", title = "Calculus and probability determine the performance of a disk drive", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "635--641", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "26A06 (68M20 68N25)", MRnumber = "1 193 015", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Huestis:1992:SNS, author = "Stephen P. Huestis", title = "Smallest nonnegative solutions to linear inverse problems", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "642--647", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "86A22 (49N45)", MRnumber = "93i:86004", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Alspach:1992:ICA, author = "Brian Alspach", title = "An Introduction to Combinatorics ({Alan Slomson})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "662--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Arney:1992:PTS, author = "David C. Arney", title = "Practical Time-stepping Schemes ({W. L. Wood})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "663--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Guanrong:1992:LCD, author = "Chen Guanrong", title = "Linear Controller Design: Limits of Performance ({Stephen {P} Boyd and Craig {H}. Barratt})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "663--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dieci:1992:REB, author = "Luca Dieci", title = "The {Riccati} Equation ({S. Bittanti, A. J. Laub, and J. C. Willems, eds.})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "665--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Durrett:1992:IRW, author = "Richard T. Durrett", title = "Intersections of Random Walks ({Gregory {F}. Lawler})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "666--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Higham:1992:OSI, author = "Desmond J. Higham", title = "Order Stars ({A. Iserles and S. P. Norsett})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "666--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kelman:1992:ADF, author = "Robert B. Kelman", title = "Algorithms for Discrete {Fourier} Transform and Convolution ({Richard Tolimieri, Myoung An, and Chao Lu})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "668--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{LeCam:1992:CSE, author = "Lucien {Le Cam}", title = "Comparison of Statistical Experiments ({Erik Torgersen})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "669--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ling:1992:AMD, author = "Robert F. Ling", title = "Applied Multivariate Data Analysis, Vol. {I}: Regression and Experimental Design ({J. D. Jobson})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "671--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Loeser:1992:GHF, author = "Francois Loeser", title = "Generalized Hypergeometric Functions ({Bernard Dwork})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "673--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Louko:1992:IGR, author = "Jorma Louko", title = "An Introduction to {General Relativity} ({L. P. Hughston and K. P. Tod})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "675--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McCaffrey:1992:GAM, author = "Daniel F. McCaffrey", title = "Generalized Additive Models ({T. J. Hastie and R. J. Tibshirani})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "675--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Michael:1992:CRS, author = "Anthony N. Michael", title = "Code Recognition and Set Selection with Neural Networks ({Clark Jeffries})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "678--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ockendon:1992:MIP, author = "J. R. Ockendon", title = "Mathematics in Industrial Problems: Part 4 ({Avner Friedman})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "679--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Robinson:1992:CBD, author = "Clark Robinson", title = "Chaotic Behavior of Deterministic Dissipative Systems ({Milos Marek and Igor Schreiber})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "680--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rochberg:1992:WSI, author = "Richard Rochberg", title = "Wavelets and Singular Integrals on Curves and Surfaces ({Guy David})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "681--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Roxin:1992:SFD, author = "Emilio O. Roxin", title = "Stability of Functional Differential Equations ({V. B. Kolmanovskii and V. R. Nosov})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "682--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Shanmugam:1992:PPT, author = "Ramalingam Shanmugam", title = "Point Processes and Their Statistical Inference ({Alan {F} Karr})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "684--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sleeman:1992:TPE, author = "B. D. Sleeman", title = "Two-Parameter Eigenvalue Problems in Ordinary Differential Equations ({M. Faierman})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "684--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Symonds:1992:IOS, author = "P. S. Symonds", title = "Introduction to Optimization of Structures ({N. V. Banichuk})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "687--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Warchall:1992:SPM, author = "Henry Warchall", title = "Solitons in Physics, Mathematics, and Nonlinear Optics ({P. J. Olver and D. H. Sattinger})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "689--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kocak:1992:NMS, author = "Huseyin Kocak", title = "Natural Minimal Surfaces: Via Theory and Computation ({with David Hoffman})", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "691--??", month = dec, year = "1992", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gupta:1993:MMD, author = "Sunetra Gupta and Roy M. Anderson and Robert M. May", title = "Mathematical Models and the Design of Public Health Policy: {HIV} and Antiviral Therapy", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "1--16", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Antiviral therapy acting to increase the incubation period of HIV-1, without significantly reducing infectiousness, will necessarily increase prevalence of infection, unless accompanied by appropriate levels of behavior change. However, the number of AIDS-related deaths may decline despite a large increase in numbers of seropositives, if the latter is balanced by an increase in the average life-span of an infected individual. In a homogeneous population, treatment will be of benefit to both the individual and the community if the basic reproductive rate of the disease is high, provided that the coverage and efficacy are also high. However, therapy may be of detriment to the community (i.e., produce an increase in the number of AIDS deaths) under a combination of low drug efficacy and high coverage or vice versa, if the basic reproductive rate is low. In a behaviorally heterogeneous population with proportionate mixing, the outcome of treatment is extremely sensitive to the rate of cessation of sexual activity. Within certain parameter combinations, the sensitivity of the system to the rate of cessation of sexual activity can cause a larger decrease in population size at higher basic reproductive rates. This is in direct contrast to the homogeneous case, where the outcome of therapy is less likely to be perverse at higher values of the basic reproductive rate. The conclusions of this paper are not in conflict with the moral imperative of providing treatment for individuals infected with HIV.", acknowledgement = ack-nhfb, affiliation = "Imperial Coll", affiliationaddress = "London, Engl", classification = "461.6; 461.7; 461.9.1; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "aids drug therapy; Antiviral therapy; Drug therapy; Drug therapy outcomes analysis; Epidemiology; Health risks; HIV infected patient treatment; Immunology; Infectious disease control; Mathematical models; Patient treatment; Public health policy planning; Public policy; Sexually transmitted diseases; Viruses", } @Article{Singpurwalla:1993:WPS, author = "Nozer D. Singpurwalla and Simon Wilson", title = "The Warranty Problem: Its Statistical and Game Theoretic Aspects", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "17--42", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90-02 (60K10 90D15 93E05)", MRnumber = "94a:90003", MRreviewer = "J. W. Pratt", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Manufacturers of consumer products, such as automobiles, usually offer warranties guaranteeing the product or its parts, for example, for five years or 50,000 miles, whichever comes first. There are at least two issues of interest to applied mathematicians and statisticians that arise from warranty considerations. The first is the specification of an optimum price-warranty combination, and the second is the forecast of a reserve fund to meet warranty claims against the product. The former involves a consideration of the item's reliability, its rate of usage, the consumer's attitude toward a specific warranty, and the competitor's actions, all of which lead towards a game theoretic formulation of the problem. The latter involves the analysis of a special kind of time series in two-dimensions, for which the use of dynamic linear models appears to be natural. This is an expository paper. Due to the timeliness of the topic, the focus here is on problem definition, its scope, and its formulation in a manner that facilitates analysis. Imbedded in the discussion are strategies for addressing some of the ensuing issues. The overall goal is to enlighten the reader about an area of research in the mathematical sciences that has an impact on industrial competitiveness and the manufacturing sciences.", acknowledgement = ack-nhfb, affiliation = "George Washington Univ", affiliationaddress = "Washington, DC, USA", classification = "911.2; 921.5; 922.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Consumer product warranty problem; Consumer products; Dynamic linear models; Dynamic programming; Game theory; Game-theoretic optimization problems; Industrial economics; Kalman filtering; Linear programming; Mathematical models; Optimization; Optimum price/warranty combination; Product liability; Renewal theory; Statistical methods; Time series analysis", } @Article{Jacquez:1993:QTC, author = "John A. Jacquez and Carl P. Simon", title = "Qualitative Theory of Compartmental Systems", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "43--79", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34C35 (34C99 92B05)", MRnumber = "94c:34067", MRreviewer = "P. R. Parthasarathy", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Dynamic models of many processes in the biological and physical sciences which depend on local mass balance conditions give rise to systems of ordinary differential equations, many nonlinear, that are called compartmental systems. In this paper, the authors define compartmental systems, specify their relations to other nonnegative systems, and discuss examples of applications. The authors review the qualitative results on linear and nonlinear compartmental systems, including their relation to cooperative systems. They review the results for linear compartmental systems and then integrate and expand the results on nonlinear compartmental systems, providing a framework for unifying them under a few general theorems. In the course of doing this they complete the solution of a problem posed by Bellman and show that closed nonlinear, autonomous, $n$-compartment systems can show the full gamut of possible behaviors of systems of ordinary differential equations. Finally, to provide additional structure to this study, the authors show how to partition compartmental systems of arbitrary connectivities into four basic types and then give the qualitative analysis for autonomous, nonlinear compartmental systems of the four basic types.", acknowledgement = ack-nhfb, affiliation = "Univ of Michigan", affiliationaddress = "Ann Arbor, MI, USA", classification = "641.3; 921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Compartmental system classification; Compartmental systems; Conservation of mass law; Differential equations; Dynamic models; Mass balance problems; Mass transfer; Mathematical models; Nonlinear differential equations; Nonlinear equations; Ordinary differential equations; Qualitative theory", } @Article{Keener:1993:PFT, author = "James P. Keener", title = "The {Perron--Frobenius} Theorem and the Ranking of Football Teams", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "80--93", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "15A18 (05A99 15A36 15A48)", MRnumber = "94a:15012", MRreviewer = "B. N. Moyls", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The author describes four different methods of ranking teams in uneven paired competition and shows how each of these methods depends in some fundamental way on the Perron--Frobenius theorem. An uneven paired competition is one in which the outcome of competition between pairs of teams is known, but the pairings are not evenly matched. The methods proposed by the author are excellent vehicles by which to introduce students to interesting and important mathematical ideas, including the Perron--Frobenius theorem, the power and inverse power methods for finding eigenvalues of a matrix, and fixed point theorems for nonlinear maps.", acknowledgement = ack-nhfb, affiliation = "Univ of Utah", affiliationaddress = "Salt Lake City, UT, USA", classification = "921.5; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Boundary value problems; Differential equations; Eigenvalues and eigenfunctions; Fixed point theorems; Football team ranking problem; Game theory; Matrix eigenvalue determination; Nonlinear equations; Nonlinear maps; Paired comparisons; Perron--Frobenius theorem; Uneven paired competitions", } @Article{Macki:1993:MMH, author = "Jack W. Macki and Paolo Nistri and Pietro Zecca", title = "Mathematical Models for Hysteresis", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "94--123", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "47H30 (34C15 34K15 47N20 93A30)", MRnumber = "94b:47088", MRreviewer = "Martin Brokate", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The various existing classical models for hysteresis, Preisach, Ishlinskii, and Duhem-Madelung, are surveyed, as well more modern treatments by contemporary workers. In this survey hysteresis is characterized as a special type of memory-based relation between an input signal and an output signal. The emphasis is on a clear mathematical description of the formulation and properties of each model. In addition, the authors try to make the reader aware of the many open questions in the study of hysteresis.", acknowledgement = ack-nhfb, affiliation = "Univ of Alberta", affiliationaddress = "Edmonton, Alberta, Can", classification = "921.6; 931.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Differential equations; Differential inclusions; Hysteresis; Hysteresis models; Mathematical models; Memory-based input-output relations; Ordinary differential equations; Partial differential equations; Periodic solutions", } @Article{Cohen:1993:ESG, author = "Joel E. Cohen", title = "Erratum: {``Subadditivity, generalized products of random matrices and operations research''} [{SIAM} Rev. {\bf 30} ({1988}), no. 1, 69--86 and {MR} 89g:60300]", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "124--124", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60K30 (58F11 90B15)", MRnumber = "94c:60166", bibdate = "Fri Oct 27 14:56:19 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See \cite{Cohen:1988:SGP}.", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dold:1993:NIP, author = "J. W. Dold", title = "A note on integral properties of periodic orbits", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "125--129", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34C25 (34C15 70H05 70K99)", MRnumber = "93m:34057", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "For the class of periodic functions $u(x)$ that can be associated with closed orbits in the $(u, u\PRM)$ phase-plane described by a differential equation of the form $u\PRM^2 = p-F(u)$, around some local minimum of $F(u)$, a useful integral expression is obtained for any derivative with respect to the parameter $p$ of any suitably differentiable function of $u$ and $p$ integrated over one period in $x$. That is, an expression is found for $(d/dp)^k \int_0\+\lambda(p)\/ f(u, p)\,dx$, where $\lambda(p)$ is the period. Some illustrative examples are presented concerning relationships between moments of $u(x)$ and some forms of the function $F(u)$.", acknowledgement = ack-nhfb, affiliation = "Univ of Bristol", affiliationaddress = "Bristol, Engl", classification = "921.2; 921.6; 931.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Differential equations; Hamiltonian systems; Integral expressions; Mathematical models; Mechanics; Orbits; Periodic functions; Periodic orbits; Phase planes", } @Article{Carey:1993:GAQ, author = "G. F. Carey and H. T. Dinh", title = "A grid anomaly in quadrilateral elements", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "130--134", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65N30 (65N50)", MRnumber = "1 207 802", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bailey:1993:CFF, author = "David H. Bailey", title = "Computational Frameworks for the {Fast Fourier Tranform} ({Charles Van Loan})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "142--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bojadziev:1993:SNP, author = "George Bojadziev", title = "Systems of Nonlinear Partial Differential Equations, Applications to Biology and Engineering ({Anthony {W}. Leung})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "143--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bryant:1993:WCQ, author = "Peter J. Bryant", title = "Weak Chaos and Quasi-Regular Patterns ({G. M. Zaslavsky, R. Z. Sagdeev, D. A. Usikov, and A. A. Chernikov})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "145--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Carlin:1993:TSI, author = "Bradley P. Carlin", title = "Tools for Statistical Inference: Observed Data and Data Augmentation Methods ({Martin {A}. Tanner})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "146--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cybenko:1993:CCC, author = "George Cybenko", title = "Computation and Cognition ({C. William Gear, ed.})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "147--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Flury:1993:UGP, author = "Bernard Flury", title = "A User's Guide to Principal Components ({Edward Jackson})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "148--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Harter:1993:OSI, author = "H. Leon Harter", title = "Order Statistics and Inference: Estimation Methods ({N Balakrishnan and A. Clifford Cohen})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "149--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Heij:1993:ILS, author = "Christiaan Heij", title = "Implicit Linear Systems ({J. D. Aplevich})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "150--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hersh:1993:EMV, author = "Reuben Hersh", title = "Ethnomathematics: {A} Multicultural View of Mathematical Ideas ({Marcia Ascher})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "151--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kan:1993:PAP, author = "A. H. G. Rinnooy Kan and A. {van Vliet}", title = "Probabilistic Analysis of Packing and Partitioning Algorithms ({E. G. Coffman, Jr. and George S. Lueker})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "153--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kirchgassner:1993:IFE, author = "Klaus Kirchgassner", title = "Instabilities and Fronts in Extended Systems ({Pierre Collet and Jean-Pierre Eckmann})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "154--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kowalik:1993:NLA, author = "Janusz S. Kowalik and Karel Zikan", title = "Numerical Linear Algebra and Optimization: Vol. 1 ({Philip E. Gill, Walter Murray, and Margaret {H}. Wright})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "155--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mawhin:1993:NLP, author = "Jean Mawhin", title = "Non-Linear Phenomena in Science and Engineering ({George Rowlands})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "158--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McCabe:1993:HCF, author = "J. H. McCabe", title = "History of Continued Fractions and {Pad{\'e}} Approximants ({Claude Brezinski})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "159--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ramm:1993:SWD, author = "A. G. Ramm", title = "Short-Wavelength Diffraction Theory ({V. M. Babic and V. S. Buldyrev})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "161--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yoh-Han:1993:SPR, author = "Pao Yoh-Han", title = "Statistical Pattern Recognition ({Keinosuke Fukunaga})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "161--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Reddy:1993:MSF, author = "J. N. Reddy", title = "Mechanics of Solids and Fluids ({Franz Ziegler})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "164--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Roysam:1993:CVH, author = "Badrinath Roysam", title = "Computational Vision ({Harry Wechsler})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "165--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rukhin:1993:BEE, author = "Andrew Rukhin", title = "{Bayesian} Estimation and Experimental Design in Linear Regression Models ({Jurgen Pilz})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "166--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Seydel:1993:AMD, author = "Rudiger Seydel", title = "The Art of Modeling Dynamic Systems: Forecasting for Chaos, Randomness, and Determinism ({Foster Morrison})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "167--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stewart:1993:TMA, author = "G. W. Stewart", title = "Topics in Matrix Analysis ({Roger {A}. Horn and Charles {R} Johnson})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "168--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Urbas:1993:RTQ, author = "John Urbas", title = "Regularity Theory for Quasilinear Elliptic Systems and {Monge--Ampere} Equations in Two Dimensions ({Friedmar Schulz})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "169--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wetterling:1993:POS, author = "Wolfgang Wetterling", title = "Parametric Optimization: Singularities, Pathfollowing and Jumps ({J. Guddat and F. Guerra Vasquez with H. Th. Jongen})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "172--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Whitaker:1993:ITP, author = "Stephen Whitaker", title = "Interfacial Transport Phenomena ({John {C}. Slattery})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "172--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Willoughby:1993:NMG, author = "Ralph A. Willoughby", title = "Numerical Mathematics ({Gunther Hammerline and Karl-Heinz Hoffman; Larry Schumaker, trans.})", journal = j-SIAM-REVIEW, volume = "35", number = "1", pages = "174--??", month = mar, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rockafellar:1993:LMO, author = "R. Tyrrell Rockafellar", title = "{Lagrange} Multipliers and Optimality", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "183--238", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "49-02 (49N15 90C30)", MRnumber = "94h:49004", MRreviewer = "Hubertus Th. Jongen", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Lagrange multipliers used to be viewed as auxiliary variables introduced in a problem of constrained minimization in order to write first-order optimality conditions formally as a system of equations. Modern applications, with their emphasis on numerical methods and more complicated side conditions than equations, have demanded deeper understanding of the concept and how it fits into a larger theoretical picture. A major line of research has been the nonsmooth geometry of one-sided tangent and normal vectors to the set of points satisfying the given constraints. Another has been the game-theoretic role of multiplier vectors as solutions to a dual problem. Interpretations as generalized derivatives of the optimal value with respect to problem parameters have also been explored. Lagrange multipliers are now being seen as arising from a general rule for the subdifferentiation of a nonsmooth objective function which allows black-and-white constraints to be replaced by penalty expressions. This paper traces such themes in the current theory of Lagrange multipliers, providing along the way a free-standing exposition of basic nonsmooth analysis as motivated by and applied to this subject.", acknowledgement = ack-nhfb, affiliation = "Univ of Washington", affiliationaddress = "Seattle, WA, USA", classification = "921.5; 921.6; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Augmented Lagrangian; Constraint qualifications; Constraint theory; Dual problems; Game theory; Geometry; Lagrange multipliers; Mathematical programming; Nonsmooth analysis; Normal cones; Numerical methods; Optimization; Saddle points; Subgradients; Vectors", } @Article{Bertozzi:1993:MRG, author = "Andrea Bertozzi and James McKenna", title = "Multidimensional Residues, Generating Functions, and Their Application to Queueing Networks", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "239--268", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "32A27 (60K25 90B22)", MRnumber = "95c:32005", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper has two goals: the first is to introduce applied mathematicians to a new technique involving several complex variable residue theory. This is a multidimensional extension of a well-known result for functions of one complex variable [P. Griffiths and J. Harris, Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978] that yields useful asymptotic information when applied to generating functions. The authors begin by reviewing the residue theory of one complex variable, noting that there are useful sets of relationships between the residues of certain rational functions. They use the one-dimensional theory to rederive and extend a well-known result of Koenigsberg [P. G. Harrison, Oper. Res., 33 (1985), pp. 464-468]. These relationships, to a degree, can be found for residues of the analogous rational functions of several complex variables. The second goal is to apply these tools to the study of product from queueing networks. It is well known that for generating functions of a single variable, residue theory turns out to be a very powerful tool for studying the asymptotic behavior of the coefficients. In this paper, the authors investigate how these ideas extend to the study of multidimensional generating functions. Then they demonstrate these techniques on generating functions which arise from the theory of product from queueing networks. In particular, they compute explicitly the generating function of the partition function for a variety of networks. Then, using these generating functions, they demonstrate the utility and limitations of these techniques.", acknowledgement = ack-nhfb, affiliation = "Princeton Univ", affiliationaddress = "Princeton, NJ, USA", classification = "922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Analogous rational functions; Asymptotic analysis; Complex variable residue theory; Describing functions; Generating functions; Multidimensional residues; Partition functions; Queueing theory", } @Article{Sigman:1993:RRP, author = "Karl Sigman and Ronald W. Wolff", title = "A Review of Regenerative Processes", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "269--288", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60K05 (60J05 60K25)", MRnumber = "94a:60126", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The authors present an expository review of the theory of regenerative processes starting with the more traditional notions and then moving on to some of the more recent and modern developments. First, classical regenerative processes are defined and some of their properties are reviewed. This includes discussion of time averages, weak and total variation convergence, and stationary versions of processes. Through examples, limitations of the classical definition are illustrated, and a more general definition is introduced, where cycle lengths are independently and identically distributed, but the cycles themselves are permitted to be dependent. Then the connection between this definition and Harris-recurrent Markov chains is shown, and both discrete and continuous-time processes, which turn out to have one-dependent cycles are discussed. In general, these continuous-time processes also have one-dependent cycle lengths, and hence are not regenerative, even by the more general definition. Some one-dependent continuous-time processes turn out to have independently and identically distributed cycle lengths, when looked at appropriately. The authors briefly discuss some recent work on this as well as briefly illustrate the connection between regenerative processes and the method of renovation found in the Russian literature. Finally, the most general notion of regenerative, synchronous processes are discussed and a general tightness result is given.", acknowledgement = ack-nhfb, affiliation = "Columbia Univ", affiliationaddress = "New York City, NY, USA", classification = "921.6; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Continuous time processes; Convergence of numerical methods; Cycle lengths; Discrete time processes; Ergodicity; Harris recurrent Markov chains; Numerical methods; Probability; Regenerative processes; Time averages; Variation convergence", } @Article{Miles:1993:EBR, author = "John Miles", title = "The electric bell revisited", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "289--293", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "78A55 (34C15 34C99)", MRnumber = "94c:78009", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A model of the electric bell is analyzed on the assumption of weak hysteresis of the magnet. The solution in the joint limit $r\uparrow1$ and $\tau\downarrow0$, where r is the coefficient of restitution for the impact at the bell and $\tau$ is a measure of the hysteretic work, tends to a member of the one-parameter family of solutions of a model for which $1-r = \tau = 0$. Explicit results are obtained for the period and impact velocity as functions of $(1-r^2)/\tau$. The incorporation of weak, linear damping is considered briefly.", acknowledgement = ack-nhfb, affiliation = "Univ of California, San Diego", affiliationaddress = "La Jolla, CA, USA", classification = "701.2; 704.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Bells; Coefficient of restitution; Damping; Electric bells; Electric equipment; Joint limit; Limit cycle; Magnetic hysteresis; Magnets; Mathematical models; Numerical methods; Phase plane", } @Article{Lengyel:1993:CIW, author = "Tam{\'a}s Lengyel", title = "A combinatorial identity and the {World Series}", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "294--297", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "05A19 (60C05)", MRnumber = "94a:05013", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "In this note the author gives a simple probabilistic proof of a combinatorial identity by calculating the winning probability in the World Series. The winning probabilities and the expected length of the championship series are given by the applications of the identity and its generalization.", acknowledgement = ack-nhfb, affiliation = "Occidental Coll", affiliationaddress = "Los Angeles, CA, USA", classification = "921.4; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Asymptotic identities; Championship series; Combinatorial identities; Combinatorial mathematics; Expected length; Probability; Winning probabilities; World Series", } @Article{Aref:1993:RBC, author = "Hassan Aref", title = "Review: {{\booktitle{Transition to Chaos: The Orbit Diagram and the Mandelbrot Set}}, with Robert L. Devaney}", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "308--309", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Sep 10 07:17:32 MDT 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://link.aip.org/link/siread/v35/i2/p308/s1; http://www.jstor.org/stable/2133149", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Beran:1993:SIG, author = "Rudolf Beran", title = "Statistical Intervals: {A} Guide for Practitioners ({Gerald {J} Hahn and William {Q}. Meeker})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "309--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Blanchard:1993:IRF, author = "Paul Blanchard", title = "Iteration of Rational Functions ({Alan {F}. Beardon})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "310--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Brewster:1993:IWC, author = "M. E. Brewster", title = "An Introduction to Wavelets ({Charles {K}. Chui})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "312--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dupac:1993:AAS, author = "Vaclav Dupac", title = "Adaptive Algorithms and Stochastic Approximations ({A Benveniste, M. Metivier, and P. Priouret})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "313--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Brown:1993:JGS, author = "Bryson Brown", title = "A Journey into Gravity and Spacetime ({John {A}. Wheeler})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "314--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Duren:1993:IFY, author = "Peter Duren", title = "Inequalities: Fifty Years on from {Hardy}, {Littlewood} and {Polya} ({W. Norrie Everitt, ed.})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "315--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Oct 24 17:19:27 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Figotin:1993:STR, author = "Alex Figotin", title = "Spectral Theory of Random Schr{\"o}dinger Operators ({Rene Carmona and Jean Lacroix})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "316--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Fix:1993:SCM, author = "George J. Fix", title = "Scientific Computations on Mathematical Problems and Conjectures ({Richard {S}. Varga})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "318--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Heyman:1993:SMQ, author = "Daniel P. Heyman", title = "Stochastic Models in Queueing Theory ({J. Medhi})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "320--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hughes:1993:OPG, author = "John F. Hughes", title = "Oriented Projective Geometry: {A} Framework for Geometric Computations ({Jorge Stolfi})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "321--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kenkel:1993:MEP, author = "N. C. Kenkel", title = "Mathematical Ecology of Plant Species Competition: {A} Class of Deterministic Models for Binary Mixtures of Plant Genotypes ({Anthony {G}. Pakes and {R}. {A}. Maller})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "323--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Klosek:1993:MPI, author = "Malgorzta M. Klosek", title = "{Markov} Processes: An Introduction for Physical Scientists ({Daniel {T}. Gillespie})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "324--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Joag-dev:1993:FEP, author = "Kumar Joag-dev", title = "Functional Equations in Probability Theory ({B. Ramachandran and Ka-Sing Lau})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "325--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lenstra:1993:URA, author = "Arjen K. Lenstra", title = "Uses of Randomness in Algorithms and Protocols ({Joe Kilian})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "326--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McGrath:1993:PIE, author = "Joseph McGrath", title = "A Primer on Integral Equations of the First Kind: The Problem of Deconvolution and Unfolding ({G. Milton Wing assisted by John D. Zahrt})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "328--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mitchell:1993:VSC, author = "John C. Mitchell", title = "Verification of Sequential and Concurrent Programs ({Krzysztof R. Apt and Ernst-Rudiger Olderog})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "330--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Orlik:1993:MAN, author = "Peter Orlik", title = "Matroid Applications ({Neil White, ed.})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "331--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Panagiotopoulos:1993:CMU, author = "P. D. Panagiotopoulos", title = "Convex Models of Uncertainty in Applied Mechanics ({Yakov Ben-Haim and Isaac Elishakoff})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "331--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Perry:1993:LFL, author = "Nigel Perry", title = "Lazy Functional Languages: Abstract Interpretation and Compilation ({Geoffrey Burn})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "332--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ratiu:1993:TMR, author = "Tudor Ratiu", title = "Tensors and Manifolds ({Robert {H}. Wasserman})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "334--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Schattschneider:1993:CSI, author = "Doris Schattschneider", title = "Crystalline Symmetries: An Informal Mathematical Introduction ({Marjorie Senechal})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "335--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Simo:1993:MHF, author = "J. C. Simo", title = "Mixed and Hybrid Finite Element Methods ({Franco Brezzi and Michel Fortin})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "336--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sinha:1993:MSS, author = "Bikas Kumar Sinha", title = "Minimax Solutions in Sampling from Finite Populations ({Siegfried Gabler})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "339--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sulsky:1993:MDC, author = "Deborah Sulsky", title = "Multigrid and Defect Correction for the Steady {Navier--Stokes} Equations Applications to Aerodynamics ({Barry Koren})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "340--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Synowiec:1993:IHS, author = "John A. Synowiec", title = "Introduction to {Hilbert} Spaces with Applications ({Lokenath Debnath and Piotr Mikusinski})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "341--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tadjbakhsh:1993:SSE, author = "Iradj Tadjbakhsh", title = "Strength of Structural Elements ({Z. Brzoska, Z. Kaczkowski, J. Lipka, Z. Olesiak, and M. Zyczkowski})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "342--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Vogt:1993:QMA, author = "Andrew Vogt", title = "Quantum Mechanics, Algebras and Distributions ({D. A. Dubin and M. A. Hennings})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "343--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Walnut:1993:WTT, author = "David F. Walnut", title = "Wavelets: {A} Tutorial in Theory and Applications ({Charles {K} Chui, ed.})", journal = j-SIAM-REVIEW, volume = "35", number = "2", pages = "345--??", month = jun, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pritchard:1993:MMR, author = "W. G. Pritchard", title = "Mathematical Models of Running", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "359--379", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "76Z99 (70F99)", MRnumber = "1 234 636", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A number of mathematical theories to describe the momentum and energy balances associated with running have been advocated since the pioneering work of the British biologist A. V. Hill in the 1920s. Since the various models lead to quite different conclusions and predictions about the balances with running, it is instructive to examine critically the assumptions underlying them. So, for example, depending on the model employed, it has been predicted that, for a sprinter, the relative expenditure of energy in overcoming air resistance lies somewhere in the range of 2 to 16\%. This wide range of values derives from the various estimates of the propulsive force exerted during sprinting, indicating just how disparate the predictions among the models are. In the early 1970s Keller built on the ideas of Hill to develop a complete theoretical model for competitive running in which the goal of the athlete is to cover the race distance in a minimum amount of time (subject to certain constraints on the runner.) While the Hill-Keller model provides only a first approximation, in that no attempt is made to model separately the anaerobic and the aerobic pathways for energy conversion and only the simplest model for the resistance to motion is considered, it nevertheless gives a good overall representation of the world running records from 60 yds. to 10 km. Based on a careful appraisal of the various models, it is suggested here that approximately 3\% of a sprinter's effort is spent on overcoming air resistance, a figure that is supported by an independent estimate derived from the long jump. An interesting consequences of the analysis is the feature that the benefits of sprinting at altitude cannot be accounted for wholly by the reduced air density, suggesting that there may be some physiological benefit to sprinting at altitude. As a special application of the estimate for the cost of overcoming air resistance, an appraisal has been made of the series of 100 m races run at the U. S. Olympic Trials in 1988 in which Florence Griffin-Joyner set a new world record. This record has been treated with great suspicion in the athletics community because of a questionable wind-gauge reading. It is shown here that the record was almost certainly wind aided, with a trailing wind of 4 ms\+-1\/ or more.", acknowledgement = ack-nhfb, affiliation = "Pennsylvania State Univ", affiliationaddress = "University Park, PA, USA", classification = "461.9; 921.6; 922.2; 943.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Air resistance; Altitude; Approximation theory; Estimation; Forecasting; Mathematical models; Models for running; Motion control; Physiological factors in running; Physiology; Propulsive force; Runner; Running; Sprinter; Wind effects", } @Article{Hettich:1993:SIP, author = "R. Hettich and K. O. Kortanek", title = "Semi-Infinite Programming: Theory, Methods, and Applications", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "380--429", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C34 (90-02)", MRnumber = "94g:90152", MRreviewer = "Hubertus Th. Jongen", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Starting from a number of motivating and abundant applications in Section 2, including control of robots, eigenvalue computations, mechanical stress of materials, and statistical design, the authors describe a class of optimization problems which are referred to as semi-infinite, because their constraints bound functions of a finite number of variables on a whole region. In Sections 3-5, first-and second-order optimality conditions are derived for general non-linear problems as well as a procedure for reducing the problem locally to one with only finitely many constraints. Another main effort for achieving simplification is through duality in Section 6. There, algebraic properties of finite linear programming are brought to bear on theory in semi-infinite programming. Section 7 treats numerical methods based on either discretization or local reduction with the emphasis on the design of superlinearly convergent (SQP-type) methods. Taking this differentiable point of view, this paper can be considered to be complementary to the review of given by Polak [SIAM Rev., 29 (1987), pp. 21-89] on the nondifferentiable approach. The last, short section briefly reviews some work done on parametric problems.", acknowledgement = ack-nhfb, affiliation = "Univ of Trier", affiliationaddress = "Trier, Ger", classification = "723.5; 731.1; 921.5; 922.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Algorithms for functional approximation; Approximation theory; Constraint theory; Discretization; Duality theory; Finite linear programming; Linearization; Mathematical models; Mathematical programming; Nonlinear programming; Optimal systems; Optimality condition; Parametric analysis; Semi-infinite programming; Superlinearly convergent methods", } @Article{Watkins:1993:SPE, author = "David S. Watkins", title = "Some Perspectives on the Eigenvalue Problem", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "430--471", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F15 (65D32 65F25)", MRnumber = "94h:65039", MRreviewer = "E. Kreyszig", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This expository paper explores the relationships among a number of algorithms for solving eigenvalue problems, including the power method, subspace iteration, the QR algorithm, and the Arnoldi and symmetric Lanczos algorithms. The symmetric Lanczos algorithm is shown to be identical to the three-term recursion (Stieltjes procedure) for computing orthogonal polynomials with respect to a measure on the real line. The connection between measures on the line and symmetric tridiagonal (Jacobi) matrices is investigated. If such a matrix is transformed by a step of the QR algorithm, there is a corresponding transformation in the measure. The tridiagonal matrices are also exploited for the construction of Gaussian quadrature formulas for measures on the line. The developments on the real line are replicated with suitable modifications on the unit circle via Lanczos-like procedures for unitary operators. The best-known procedure of this type is the recursion of Szego for computing orthogonal polynomials on the unit circle. The approach taken in this paper is to develop recursions that compute orthogonal Laurent polynomials (rational functions) rather than polynomials. These recursions are then modified to yield the Szego recursion.", acknowledgement = ack-nhfb, affiliation = "Washington State Univ", affiliationaddress = "Pullman, WA, USA", classification = "731.1; 921.1; 921.3; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Arnoldi; Eigenvalues and eigenfunctions; Invariant subspace; Lanczos; Mathematical transformations; Matrix algebra; Orthogonal polynomials; Polynomials; qr algorithm; Quadrature; Recursive functions; Self adjoint; Spectral theorem; Unitary", } @Article{Miller:1993:ERG, author = "Allen R. Miller and Emanuel Vegh", title = "Exact result for the grazing angle of specular reflection from a sphere", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "472--480", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "51M04", MRnumber = "94h:51034", MRreviewer = "E. J. F. Primrose", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kabamba:1993:NNA, author = "Pierre T. Kabamba", title = "A note on navigation accuracy", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "481--487", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "86A99 (51N20)", MRnumber = "94m:86008", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ahlbrandt:1993:ICV, author = "Calvin D. Ahlbrandt", title = "Introduction to the Calculus of Variations ({U. Brechtken-Mandersheid})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "506--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Alfeld:1993:ZSI, author = "Peter Alfeld", title = "{Zweidimensionale Spline-Interpolation-Algorithmen (H. Spath)}", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "507--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Al-Khayyal:1993:GOA, author = "Faiz A. Al-Khayyal and Panos M. Pardalos", title = "Global Optimization ({Aimo Torn and Antanas Zilinskas})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "509--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Athreya:1993:CTD, author = "Krisha B. Athreya", title = "The Construction Theory of Denumerable {Markov} Processes ({Xiang-qun Yang})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "510--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cinlar:1993:SFS, author = "Erhan Cinlar", title = "Stochastic Flows and Stochastic Differential Equations ({Hiroshi Kunita})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "513--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Durrett:1993:MCN, author = "Rick Durrett", title = "From {Markov} Chains to Nonequilibrium Particle Systems ({Mu Fa Chen})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "514--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Falk:1993:MFE, author = "Richard S. Falk", title = "Mixed and Finite Element Methods ({Franco Brezzi and Michel Fortin})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "515--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Farin:1993:GMN, author = "G. Farin", title = "Geometric Modelling for Numerically Controlled Machining ({K Marciniak})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "517--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Fink:1993:OES, author = "A. M. Fink", title = "Optimality and Equilibria in Stochastic Games ({F. Thuijsman})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "518--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Fishburn:1993:CPO, author = "Peter C. Fishburn", title = "Combinatorics and Partially Ordered Sets: Dimension Theory ({William {T}. Trotter})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "519--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gardiner:1993:FMC, author = "Judith D. Gardiner", title = "Fundamentals of Matrix Computations ({David {S}. Watkins})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "520--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gray:1993:EMD, author = "J. Brian Gray", title = "Exploratory and Multivariate Data Analysis ({Michel Jambu})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "521--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Haake:1993:FSI, author = "F. Haake", title = "Foundations of Synergetics {II}, Complex Patterns ({A. S. Mikhailov and A. Yu. Loskutov})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "524--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Horn:1993:FCO, author = "Paul S. Horn", title = "A First Course in Order Statistics ({Barry {C}. Arnold, {N} Balakrishnan and {H}. {N}. Nagaraja})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "525--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kallenberg:1993:LCM, author = "Olav Kallenberg", title = "Lectures on the Coupling Method ({Torgny Lindvall})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "525--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Keating:1993:QSC, author = "J. P. Keating", title = "Quantum Signatures of Chaos ({Fritz Haake})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "527--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kung:1993:MDK, author = "Joseph P. S. Kung", title = "Matroid Decomposition ({K. Truemper})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "529--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Leveque:1993:AFE, author = "R. J. Leveque", title = "Adaptive Finite Element Solution Algorithm for the {Euler} Equations ({R. A. Shapiro})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "531--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pitman:1993:CMB, author = "Jim Pitman", title = "Continuous Martingales and {Brownian} Motion ({Daniel Revuz and Marc Yor})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "532--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ralston:1993:MAA, author = "Anthony Ralston", title = "Microcomputer Algorithms, Action from Algebra ({John {P} Killingbeck})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "533--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Schreiber:1993:VLS, author = "Robert Schreiber", title = "Very Large Scale Computation in the 21st Century ({Jill {P} Mesirov, ed.})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "534--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Singpurwalla:1993:SAR, author = "Nozer D. Singpurwalla", title = "Statistical Analysis of Reliability Data ({M. J. Crowder, A. C. Kimber, R. L. Smith, T. J. Sweeting})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "535--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tannenbaum:1993:OCR, author = "Allen Tannenbaum", title = "${H}^\infty$-Optimal Control and Related Minimax Design Problems ({Tamer Baser and Pierre Bernhard})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "538--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Vakakis:1993:TVI, author = "Alexander F. Vakakis", title = "Theory of Vibration {I} and {II} ({A. A. Shabana})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "540--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wolper:1993:AGC, author = "James S. Wolper", title = "Algebraic-Geometric Codes ({M. A. Tsfasman and S. G. Vladut})", journal = j-SIAM-REVIEW, volume = "35", number = "3", pages = "541--??", month = sep, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stewart:1993:EHS, author = "G. W. Stewart", title = "On the Early History of the Singular Value Decomposition", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "551--566", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "15-03 (01A55 01A60 15A18)", MRnumber = "94f:15001", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "This paper surveys the contributions of five mathematicians --- Eugenio Beltrami (1835-1899), Camille Jordan (1838-1921), James Joseph Sylvester (1814-1897), Erhard Schmidt (1876-1959), and Hermann Weyl (1885-1955) --- who were responsible for establishing the existence of the singular value decomposition and developing its theory.", acknowledgement = ack-nhfb, affiliation = "Univ of Maryland", affiliationaddress = "College Park, MD, USA", classification = "921.1; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Computational platforms; Determinants; Geometry; History; Integral equations; Linear algebra; Matrix algebra; Matrix decomposition; Quadratic form; Singular value decomposition", } @Article{Winter:1993:SCT, author = "Donald F. Winter", title = "On the Stem Curve of a Tall Palm in a Strong Wind", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "567--579", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "73K05 (73H05)", MRnumber = "94g:73028", bibdate = "Fri Oct 27 14:56:41 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", note = "See erratum \cite{Winter:1996:ERS}.", abstract = "Steady-state nonlinear differential equations governing the stem curve of a wind-loaded palm are derived and solved numerically. Comparisons are made between the computed results and data from photographs of a palm stem during an episode of Santa Ana winds. Three approximate solutions are also developed. Two of the solutions are based on linearization of the governing equations --- the first being expressible in terms of Airy functions and integrals. The third solution preserves the nonlinear terms in the problem and involves Jacobian elliptic functions and integrals.", acknowledgement = ack-nhfb, affiliation = "Univ of Redlands", affiliationaddress = "Redlands, CA, USA", classification = "443.1; 461.9; 742.1; 921.2; 921.6; 931.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Airy functions; Buckling; Canopy; Differential equations; Elasticity; Elliptic functions; Fracture; Linearization; Palm; Photography; Plants (botany); Speed; Stem curve; Vertical instability; Wind; Wind speeds", } @Article{Head:1993:ETD, author = "A. K. Head and S. D. Howison and J. R. Ockendon and S. P. Tighe", title = "An Equilibrium Theory of Dislocation Continua", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "580--609", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "73S10 (73B27)", MRnumber = "95a:73062", MRreviewer = "Cesare Davini", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "A homogenised model for elastic media containing large numbers of dislocations is described. First, discrete dislocations are discussed from the mathematical and crystallographical points of view, and their stress fields are calculated. These building blocks are averaged to construct a homogenised model in which the dislocation distribution is averaged to a number density tensor. Equilibrium configurations are then considered and it is proved that, in the absence of externally applied stresses, the only possible finite, simply connected distributions are ones in which all components of stress vanish everywhere. Some examples are given of these zero-stress everywhere (ZSE) distributions, and their geometrical interpretation is considered in terms of the plastic distortion tensor, which shows that they are equivalent to local rotations of the crystal lattice. Finally, some conjectures are made about the response of a cellular ZSE distribution to an applied stress, introducing the idea of `polarization' by analogy with electromagnetism, and a possible scenario is sketched for the large-scale deformations associated with plastic flow.", acknowledgement = ack-nhfb, affiliation = "Div of Materials Science and Technology", affiliationaddress = "Clayton, Aust", classification = "421; 531.2; 921.6; 931.1; 931.2; 933.1.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Continuum mechanics; Crystal lattices; Deformation; Dislocation plasticity theory; Dislocations (crystals); Elastic media; Electromagnetism; Equilibrium theory; Geometry; Homogenization; Mathematical models; Metals; Plastic distortion tensor; Plastic flow; Plasticity; Polarization; Stresses; Tensors; Zero-stress everywhere distributions", } @Article{Moses:1993:PEF, author = "Harry E. Moses and Reese T. Prosser", title = "Propagation of an Electromagnetic Field Through a Planar Slab", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "610--620", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "78A40", MRnumber = "94k:78017", MRreviewer = "John A. DeSanto", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The solution of Maxwell's equations describing the propagation of an electromagnetic pulse through a planar slab is derived from first principles using a straightforward time-dependent method. The result, valid for quite arbitrary incident pulses and quite arbitrary slab inhomogeneities, agrees with that obtained by time-independent methods, but uses more elementary methods.", acknowledgement = ack-nhfb, affiliation = "Boston Univ", affiliationaddress = "Boston, MA, USA", classification = "701; 711.1; 921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Differential equations; Electromagnetic field theory; Electromagnetic fields; Electromagnetic wave transmission; Incident pulse; Inhomogeneous medium; Inverse problems; Maxwell's equations; Planar slab; Time dependent methods", } @Article{Kijima:1993:NCR, author = "Masaaki Kijima", title = "Numerical calculation of ruin probabilities for skip-free {Markov} chains", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "621--624", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60J10", MRnumber = "94g:60124", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "Consider a homogeneous Markov chain taking values in $[0, 1,\ldots{}, N, N + 1]$, where states $0$ and $N + 1$ are absorbing and the probability of absorption at state $0$ prior to state $N + 1$, called the ruin probability, is of interest. It is shown that if the Markov chain is skip-free, then a simple bisection search can be applied to find the ruin probabilities. This procedure is numerically stable and considerably simpler than the matrix inversion and iteration method counterparts.", acknowledgement = ack-nhfb, affiliation = "Univ of Tsukuba", affiliationaddress = "Tokyo, Jpn", classification = "921.1; 921.6; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Absorbing states; Bisection search; Iterative methods; Matrix algebra; Matrix inversion; Probability; Ruin probability; Skip-free Markov chain; State space methods", } @Article{Eslami:1993:OSB, author = "Mansour Eslami", title = "Optimization of a stability bound", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "625--630", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "93D09 (34D20)", MRnumber = "94h:93060", MRreviewer = "Takehiro Mori", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "In this paper a method stemming form the Lyapunov technique is presented in order to construct the largest upper bound for allowable disturbance in a nonlinear system. In particular, the importance of choosing an appropriate Lyapunov function is emphasized in order to expedite this constructional method.", acknowledgement = ack-nhfb, affiliation = "Univ of Illinois at Chicago", affiliationaddress = "Chicago, IL, USA", classification = "731.1; 731.4; 921.1; 921.5", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Dynamic system; Eigenvalues and eigenfunctions; Lyapunov methods; Matrices; Matrix algebra; Nonlinear control systems; Optimization; Robustness (control systems); Stability bound; Stability robustness analysis; System stability; Systems analysis; Vectors", } @Article{Bullett:1993:RSP, author = "Shaun Bullett and Jaroslav Stark", title = "Renormalizing the simple pendulum", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "631--640", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "70-01 (33E05 70K99)", MRnumber = "94i:70001", MRreviewer = "Coraci P. Malta", bibdate = "Mon Jan 20 10:31:25 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", abstract = "The authors present an elementary scheme for calculating the period of oscillation or rotation of a simple pendulum. It is based on the invariance of the complete elliptic integral of the first kind under the arithmetic-geometric mean iteration. They explain how this scheme can be interpreted as an example of renormalization, a technique with many recent applications in both physics and applied mathematics.", acknowledgement = ack-nhfb, affiliation = "Queen Mary and Westfield Coll", affiliationaddress = "London, Engl", classification = "921.2; 921.3; 921.6; 931.1; 943.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Arithmetic-geometric mean; Elliptic integral; Equations of motion; Hamiltonian formalism; Integration; Iterative methods; Landen's transformation; Mathematical transformations; Oscillations; Pendulums; Renormalization; Rotation", } @Article{Agarwal:1993:DMB, author = "Ravi P. Agarwal", title = "The Double {Mellin--Barnes} Type Integrals and Their Applications to Convolution Theory ({Nguyen Thanh Hai and S. B. Yakubovich})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "652--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ball:1993:MEH, author = "Joseph A. Ball", title = "Minimum Entropy Hsubinfin Control ({D. Mustafa and K. Glover})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "652--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Burton:1993:CIE, author = "T. A. Burton", title = "A Course on Integral Equations ({A. C. Pipkin})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "655--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Campbell:1993:MSS, author = "Stephen L. Campbell", title = "Methods of Solving Singular Systems of Ordinary Differential Equations ({Y. Boyarintsev})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "656--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Danby:1993:ODE, author = "J. M. Anthony Danby", title = "Ordinary Differential Equations ({G. F. Carrier and E. E. Pearson})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "658--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Easton:1993:IHD, author = "Robert W. Easton", title = "Introduction to {Hamiltonian} Dynamical Systems and the {N}-Body Problem ({K. R. Meyer and G. R. Hall})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "659--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Fateman:1993:ADA, author = "Richard J. Fateman", title = "Automatic Differentiation of Algorithms: Theory, Implementation, and Application ({Andreas Griewank and George {F}. Corliss, eds.})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "659--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Fierro:1993:TLS, author = "Ricardo D. Fierro", title = "The Total Least Squares Problem: Computational Aspects and Analysis ({S. Van Huffel and J. Vandewalle})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "660--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gruendler:1993:NSP, author = "Joseph Gruendler", title = "Nonlinear Systems ({P. G. Drazin})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "662--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Goldstein:1993:ASE, author = "Jerome A. Goldstein", title = "Attractors for Semigroups and Evolution Equations ({Olga Ladyzhenskaya})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "664--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Heil:1993:TLW, author = "Christopher Heil", title = "Ten Lectures on Wavelets ({Ingrid Daubechies})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "666--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hurley:1993:GDC, author = "Mike Hurley", title = "The Global Dynamics of Cellular Automata ({Andrew Wuensche and Mike Lesser})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "669--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kushner:1993:SSD, author = "Harold Kushner", title = "Stability of Stochastic Differential Equations with Respect to Semi-martingales ({X. Mao})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "670--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Meyer:1993:PON, author = "Y. Meyer", title = "Pseudodifferential Operators and Nonlinear Partial Differential Equations ({M. E. Taylor})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "671--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Morris:1993:LCP, author = "Walter Morris", title = "The Linear Complementarity Problem ({R. W. Cottle, J.-S. Pang, and R. E. Stone})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "673--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Moskowitz:1993:ITR, author = "Ira S. Moskowitz", title = "Information Theory ({Robert {B}. Ash})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "674--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Olver:1993:GAP, author = "Peter J. Olver", title = "Geometrical Aspects of Partial Differential Equations ({V. V. Zharinov})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "675--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pimbley:1993:QTO, author = "Joe Pimbley", title = "Quantum Theory of the Optical and Electronic Properties of Semiconductors ({H. Haug and Stephan W. Koch})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "676--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Seifert:1993:OTD, author = "George Seifert", title = "Oscillation Theory of Delay Differential Equations ({I}. Gyori and {G}. Ladas) and Oscillation Theory of Neutral Differential Equations with Delay ({D. D. Bainov and D. P. Mishev})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "677--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Shippy:1993:BIA, author = "David J. Shippy", title = "The Boundary Integral Approach to Static and Dynamic Contact Problems ({H. Antes and P. D. Panagiotopoulos})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "678--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sloan:1993:RNG, author = "Ian H. Sloan", title = "Random Number Generation and Quasi-{Monte Carlo} Methods ({H. Niederreiter})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "680--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1993:RSM, author = "Frank Stenger", title = "Review: {{\em Sinc Methods for Quadrature and Differential Equations}}, by {J. Lund and K. L. Bowers}", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "682--683", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "URL: http://links.jstor.org/sici?sici=0036-1445%28199312%2935%3A4%3C682%3ASMFQAD%3E2.0.CO%3B2-F", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sommese:1993:IVA, author = "Andrew J. Sommese", title = "Ideals, Varieties, and Algorithms--An Introduction to Computational Algebraic Geometry and Commutative Algebra ({D. Cox, J. Little, and D. O'Shea})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "682--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stenger:1993:SMQ, author = "Frank Stenger", title = "Sinc Methods for Quadrature and Differential Equations ({J Lund and K. L. Bowers})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "682--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Terman:1993:PWP, author = "David Terman", title = "Patterns and Waves ({Peter Grindrod})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "683--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Vance:1993:KPA, author = "Pamela H. Vance", title = "Knapsack Problems: Algorithms and Computer Implementations ({S. Martello and P. Toth})", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "684--??", month = dec, year = "1993", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Mon Jan 20 09:29:37 MST 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tapia:1994:EKK, author = "R. A. Tapia and M. W. Trosset", title = "An Extension of the {Karush--Kuhn--Tucker} Necessity Conditions to Infinite Programming", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "1--17", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C30 (49K27 49N15)", MRnumber = "95a:90152", MRreviewer = "Edward J. Anderson", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", URL = "http://epubs.siam.org/22073.htm", abstract = "Under mild assumptions, the classical Karush--Kuhn--Tucker approach to Langrange multiplier theory is to extended to an infinite programming formulation. The main result generalizes the usual first-order necessity conditions to address problems in which the domain of the objective function is Hilbert space and the number of constraints is arbitrary. The result is used to obtain necessity conditions for a well-known problem from the statistical literature on probability density estimation.", acknowledgement = ack-nhfb, affiliation = "Rice Univ", affiliationaddress = "Houston, TX, USA", classification = "921; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Hilbert space; Karush--Kuhn--Tucker approach; Lagrange multiplier theory; Mathematical programming; Objective function; Probability; Probability density estimation; Statistical methods", } @Article{Spanier:1994:QRM, author = "Jerome Spanier and Earl H. Maize", title = "Quasi-Random Methods for Estimating Integrals Using Relatively Small Samples", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "18--44", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65C05 (65C20 65D30)", MRnumber = "95b:65013", MRreviewer = "Michael J. Evans", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", URL = "http://epubs.siam.org/22673.htm", abstract = "Much of the recent work dealing with quasi-random methods has been aimed at establishing the best possible asymptotic rates of convergence to zero of the error resulting when a finite-dimensional integral is replaced by a finite sum of integrand values. In contrast with this perspective to concentrate on asymptotic convergence rates, this paper emphasizes quasi-random methods that are effective for all sample sizes. Throughout the paper, the problem of estimating finite-dimensional integrals is used to illustrate the major ideas, although much of what is done applies equally to the problem of solving certain Fredholm integral equations. Some new techniques, based on error-reducing transformations of the integrand, are described that have been shown to be useful both in estimating high-dimensional integrals and in solving integral equations. These techniques illustrate the utility of carrying over to the quasi-Monte Carlo method certain devices that have proven to be very valuable in statistical (pseudorandom) Monte Carlo applications.", acknowledgement = ack-nhfb, affiliation = "Claremont Graduate Sch", affiliationaddress = "Claremont, CA, USA", classification = "921; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Asymptotic rate of convergence; Fredholm integral equations; Integral equations; Integral estimation quasi-random methods; Monte Carlo methods; Statistical methods", } @Article{El-Bakry:1994:SII, author = "A. S. El-Bakry and R. A. Tapia and Y. Zhang", title = "A Study of Indicators for Identifying Zero Variables in Interior-Point Methods", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "45--72", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C05", MRnumber = "95b:90047", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", URL = "http://epubs.siam.org/22277.htm", abstract = "This study is concerned with optimization problems where the only inequality constraints are nonnegativity constraints on the variables. In these problems, the ability to identify zero variables (binding constraints) early on in an iterative method is of considerable value and can be used to computational advantage. This work first gives a formal presentation of the notion of indicators for identifying zero variables, and then studies various indicators proposed in the literature for use with interior-point methods for linear programming. Both theory and experimentation are presented that speak strongly against the use of the variables as indicators; perhaps the most frequently used indicator in the literature. This study implies that an indicator proposed by Tapia is particularly effective in context of primal-dual interior-point method. The local rate of convergence for several indicators is also studied.", acknowledgement = ack-nhfb, affiliation = "Rice Univ", affiliationaddress = "Houston, TX, USA", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Indicator function; Interior point methods; Linear programming problems; Local rate of convergence; Mathematical programming; Primal-dual interior-point method", } @Article{Constantin:1994:GST, author = "Peter Constantin", title = "Geometric Statistics in Turbulence", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "73--98", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "76F05 (35Q30 76D05)", MRnumber = "95d:76057", MRreviewer = "P. L. Sulem", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", URL = "http://epubs.siam.org/24714.htm", abstract = "The author presents results regarding certain average properties of incompressible fluids derived from the equations of motion. The author estimates the average dissipation rate, the average dimension rate, the average dimension of level sets. The role played by the field of direction of vorticity in the three-dimensional Euler and Navier--Stokes equations is discussed and a class of two-dimensional equations that are useful models of incompressible dynamics is described. The author presents results concerning scaling exponents in turbulence.", acknowledgement = ack-nhfb, affiliation = "Univ of Chicago", affiliationaddress = "Chicago, IL, USA", classification = "631.1; 921; 922.1; 931", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Dynamics; Equations of motion; Incompressible dynamics; Incompressible fluids; Navier--Stokes equations; Statistical methods; Three-dimensional Euler equations; Turbulent flow", } @Article{Shapiro:1994:EPB, author = "Harold S. Shapiro and Max Tegmark", title = "An Elementary Proof that the Biharmonic {Green} Function of an Eccentric Ellipse Changes Sign", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "99--101", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35J40", MRnumber = "94m:35096", MRreviewer = "Yehuda Pinchover", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", URL = "http://epubs.siam.org/24859.htm", abstract = "P. R. Garabedian showed in 1951 that the Green function for the biharmonic boundary value problem with vanishing Dirichlet data changes sign in case the domain is a sufficiently eccentric ellipse. This refuted a conjecture made by J. Hadamard in 1908. The proof of Garabedian was based on kernel functions: the present note gives an elementary proof.", acknowledgement = ack-nhfb, affiliation = "Royal Inst of Tech", affiliationaddress = "Stockholm, Sweden", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Biharmonic boundary value problems; Boundary value problems; Dirichlet data changes; Green function; Laplace operator", } @Article{Chappell:1994:ODN, author = "David Chappell and Karen Dury", title = "On the Optimal Depletion of a Nonrenewable Natural Resource Under Conditions of Increasing Marginal Extraction Costs", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "102--106", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90A30", MRnumber = "1 267 052", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", URL = "http://epubs.siam.org/25107.htm", abstract = "The model analyzed in this paper is that of the optimal exploitation of a nonrenewable natural resource under the ownership of a monopolist who faces increasing marginal costs of extraction. Optimal depletion levels are derived under the criterion of maximizing discounted future profits. It is shown that the optimal steady state solution may not exhaust the resource totally. The usual sufficiency conditions for optimal control (concavity of the maximized Hamiltonian in the state variable) cannot be satisfied with the model. Hence a relatively new sufficiency condition is utilized.", acknowledgement = ack-nhfb, affiliation = "Sheffield Univ", affiliationaddress = "Sheffield, Engl", classification = "525; 911.1; 921.5", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Cost accounting; Marginal extraction costs; Natural resource exploitation; Natural resources; Nonrenewable natural resources; Optimization", } @Article{Barkley:1994:CCS, author = "Dwight Barkley", title = "Chemical Chaos ({Stephen {K}. Scott})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "116--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bluman:1994:IDM, author = "George Bluman", title = "Infinite Dimensional {Morse} Theory and Multiple Solution Problems ({K. C. Chang})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "116--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bressan:1994:MDE, author = "Alberto Bressan", title = "Multivalued Differential Equations ({Klaus Deimling and Walter de Gruyter})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "117--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Burdzy:1994:SAW, author = "Krzysztof Burdzy", title = "The Self-Avoiding Walk ({Neal Madras and Gordon Slade})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "119--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Castro:1994:SBN, author = "A. Castro", title = "Solvability and Bifurcations of Nonlinear Equations ({P Drabek})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "119--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chillingworth:1994:FDS, author = "D. R. J. Chillingworth", title = "Fundamentals of Dynamical Systems and Bifurcation ({M Medved})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "122--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Colton:1994:IPM, author = "David Colton", title = "Inverse Problems in the Mathematical Sciences ({Charles {W} Groetsch})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "123--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ellis:1994:CPP, author = "Steven P. Ellis", title = "A Course on Point Processes ({R.-D. Reiss})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "124--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ghandehari:1994:FCJ, author = "Mostafa Ghandehari", title = "Foundations of Coding ({J. Adamek})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "125--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gray:1994:GDG, author = "Jeremy J. Gray", title = "{Galois}' Dream-Group Theory and Differential Equations ({Michio Kuga})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "126--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hinton:1994:HDE, author = "Don Hinton", title = "Handbook of Differential Equations, Second Edition ({Daniel Zwillinger})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "126--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kenney:1994:UMR, author = "Charles Kenney and Roy Smith", title = "Uncertain Models and Robust Control ({A. Weinmann})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "127--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Key:1994:IPS, author = "Eric S. Key", title = "An Introduction to Probability and Stochastic Processes ({M.A Berger})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "128--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kocak:1994:DEL, author = "Huseyin Kocak", title = "Differential Equations Laboratory Workbook: {A} Collection of Experiments, Explorations and Modeling Projects for the Computer ({Robert {L}. Borrelli, Courtney Coleman, and William {E}. Boyce})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "129--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kupershmidt:1994:SEH, author = "B. A. Kupershmidt", title = "Soliton Equations and {Hamiltonian} Systems ({L. A. Dickey})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "130--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Leavens:1994:PRU, author = "Gary T. Leavens", title = "Programs, Recursion and Unbounded Choice ({Wim {H}. Hesselink})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "131--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Menaldi:1994:CMP, author = "Jose Luis Menaldi", title = "Controlled {Markov} Processes and Viscosity Solutions ({Wendell {H}. Fleming and {H}. Mete Soner})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "133--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Milton:1994:MML, author = "John Milton", title = "Mathematics in Medicine and the Life Sciences ({F. C. Hoppensteadt and C. S. Peskin})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "134--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mittelmann:1994:PSP, author = "H. Mittelmann", title = "{PLTMG}: {A} Software Package for Solving Elliptic Partial Differential Equations ({Randolph {E}. Bank})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "134--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Murdock:1994:PME, author = "James Murdock", title = "Perturbation Methods for Engineers and Scientists ({Alan {W} Bush})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "136--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Neuberger:1994:STA, author = "J. W. Neuberger", title = "Semigroup Theory with Applications to Systems and Control ({N U. Ahmed})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "137--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Renardy:1994:MTF, author = "Michael Renardy", title = "Mathematical Topics in Fluid Mechanics ({J. F. Rodrigues and A. Sequeira})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "139--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rizzo:1994:BIS, author = "Frank Rizzo", title = "Boundary Integral and Singularity Methods for Linearized Viscous Flow ({C. Pozrikidis})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "140--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Serfozo:1994:SSM, author = "Richard Serfozo", title = "Stationary Stochastic Models ({A. Brandt, P. Franken, and B. Lisek})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "141--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Shields:1994:PRP, author = "Paul C. Shields", title = "Probability, Random Processes, and Ergodic Properties ({Robert {M}. Gray})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "143--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Stewart:1994:SCS, author = "Ian Stewart", title = "Symmetry in Chaos--a Search for Pattern in Mathematics, Art, and Nature ({Michael Field and Martin Golubitsky})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "145--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Thron:1994:CFA, author = "W. J. Thron", title = "Continued Fractions with Applications ({Lisa Lorentzen and Haakon Waadeland})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "148--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yanik:1994:NRF, author = "Elizabeth Greenwell Yanik", title = "{Numerical Recipes in FORTRAN --- the Art of Scientific Computing, 2nd Ed. (W. H. Press, W. T. Vetterling, S. A. Teukolsky, and B. P. Flannery)}", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "149--149", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wasow:1994:SPM, author = "Wolfgang Wasow", title = "Singular Perturbation Methods for Ordinary Differential Equations ({Robert E. O'Malley, Jr.})", journal = j-SIAM-REVIEW, volume = "36", number = "1", pages = "149--??", month = mar, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev361.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Book:1994:ROP, author = "Ronald V. Book", title = "Relativizations of the {$P=?NP$} and other problems: developments in structural complexity theory", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "157--175", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "68Q15", MRnumber = "95f:68070", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", URL = "http://epubs.siam.org/23994.htm", abstract = "The notion of NP-completeness has helped researchers in several fields to argue that some problems are intrinsically difficult to solve computationally, even though proof of that is beyond the current state of our knowledge. The study of properties of complete sets and reducibilities has led to the development of a branch of complexity theory called structural complexity theory. This paper is a brief survey of recent results in structural complexity theory and is aimed at researchers who know something about computational complexity theory but do not work in structural complexity theory. To describe the theory in a way that gives the reader some concrete applications the results are described in terms of their relationship to $P=?NP$ and other problems.", acknowledgement = ack-nhfb, affiliation = "Univ of California", affiliationaddress = "Santa Barbara, CA, USA", classification = "921; C4240C (Computational complexity)", corpsource = "Dept. of Math., California Univ., Santa Barbara, CA, USA", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Applied mathematics; computational complexity; intrinsic difficulty; Mathematical techniques; NP-completeness; P=?NP problem; Polynomial time; Polynomials; Reducibilities; relativizations; Relativized computation; Structural complexity; structural complexity theory", treatment = "T Theoretical or Mathematical", } @Article{Wollkind:1994:WNS, author = "David J. Wollkind and Valipuram S. Manoranjan and Limin Zhang", title = "Weakly nonlinear stability analyses of prototype reaction-diffusion model equations", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "176--214", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35K57 (35B35 76E30 92D40)", MRnumber = "95d:35090", MRreviewer = "Yoshio Yamada", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", abstract = "Comparisons are made between the results obtained by the application of various methods of weakly nonlinear stability analysis to several prototype reaction-diffusion equations which among them reproduce most of the salient features representative of such investigations of model systems for dissipative phenomena. Emphasis is placed upon the subtleties involved in scaling this equations and deducing asymptotically valid solutions. Phenomenological interpretations of the bifurcation behaviour of the model equation are offered, based on the pattern formational aspects of convective instabilities in hydrodynamics, morphological instabilities in solidification and diffusive instabilities in ecology.", acknowledgement = ack-nhfb, affiliation = "Washington State Univ", affiliationaddress = "Pullman, WA, USA", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Bifurcation behavior; Chemical reactions; Diffusion; Dissipative structures; Mathematical techniques; Nonlinear equations; Nonlinear stability analysis; Pattern formation; Reaction diffusion equations; Stability", } @Article{Nazareth:1994:NCP, author = "J. L. Nazareth", title = "The {Newton} and {Cauchy} Perspectives on Computational Nonlinear Optimization", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "215--225", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C30 (65K05)", MRnumber = "95b:90119", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", URL = "http://epubs.siam.org/24004.htm", abstract = "The methods of Newton and Cauchy provide complementary perspectives on computational nonlinear optimization, and a study of the interplay between these two classical approaches sheds new light on other more recent methods for minimizing a nonlinear function. A coherent picture (Newton\slash Cauchy framework) emerges at the root level, which relates the basic methods of the subject to one another and reveals some promising directions for further algorithmic development. By way of illustration, a particular algorithm motivated by the framework is formulated and studied numerically.", acknowledgement = ack-nhfb, affiliation = "Washington State Univ", affiliationaddress = "Pullman, WA, USA", classification = "921.5", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Affine reduction; Cauchy method; Conjugate gradients; Mathematical models; Mathematical techniques; Newton method; Nonlinear equations; Nonlinear optimization; Optimization; Variable metric", } @Article{Stuart:1994:MPN, author = "A. M. Stuart and A. R. Humphries", title = "Model Problems in Numerical Stability Theory for Initial Value Problems", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "226--257", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65L20 (34C35 34D05 65L06)", MRnumber = "95c:65126", MRreviewer = "Alexander Ostermann", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", URL = "http://epubs.siam.org/24014.htm", abstract = "In the past numerical stability theory for initial value problems in ordinary differential equations has propagation mechanisms in stiff problems a question modeled effectively by contractive linear or nonlinear problems. While this has resulted in a coherent and self-contained body of knowledge, it has never been entirely clear to what extent this theory is relevant for problems exhibiting more complicating dynamics. This on-going work is unified and in particular, striking similarities between this new developing stability theory and the classical linear and nonlinear stability theories are emphasized. The classical theories of A, B and algebraic stability for Runge--Kutta methods are briefly reviewed: the dynamics of solutions within the classes of equations to which these theories apply-linear decay and contractive problems --- are studied. Four other categories of equations-gradient, dissipative, conservative and Hamiltonian systems --- are considered. Relationships and differences between the possible dynamics in each category, which range from multiple competing equilibria to chaotic solutions, are highlighted. Runge--Kutta schemes that preserves the dynamical structures of the underlying problem are sought and indications of a strong relationship between the developing stability theory for these new categories and the classical existing stability theory for the older problems are given. Algebraic stability in particular, is seen to play a central role. It should be emphasized that in all cases the class of methods for which a coherent and complete numerical stability theory exists given a structural assumption on the initial value problem, is often considerably smaller than the class of method found to be effective in practice. Nonetheless it is arguable that it is valuable to develop such stability theories to provide a firm theoretical framework in which to interpret existing methods and to formulate goals in the construction of new methods. Furthermore, there are indications that the theory of algebraic stability may sometimes be useful in the analysis of error control codes which are not stable in a fixed step implementation this work is described.", acknowledgement = ack-nhfb, affiliation = "Stanford Univ", affiliationaddress = "Stanford, CA, USA", classification = "921", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Contractivity; Differential equations; Dissipativity; Gradient systems; Hamiltonian systems; Initial value problems; Linear decay; Mathematical techniques; Numerical methods; Numerical stability theory; Runge Kutta methods; Stability", } @Article{Nievergelt:1994:TLS, author = "Yves Nievergelt", title = "Total Least Squares: State-of-the-Art Regression in Numerical Analysis", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "258--264", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F20", MRnumber = "95a:65077", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", URL = "http://epubs.siam.org/25606.htm", abstract = "Total least squares regression (TLS) fits a line to data where errors may occur in both the dependent and independent variables. In higher dimensions, TLS fits hyperplane to such data. The elementary algorithm presented here fits readily in a first course in numerical linear algebra.", acknowledgement = ack-nhfb, affiliation = "Eastern Washington Univ", affiliationaddress = "Cheney, WA, USA", classification = "921.1; 921.6; 922.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algebra; Algorithms; Least squares approximations; Numerical analysis; Regression analysis; Singular value decomposition; Total least squares", } @Article{Banks:1994:SHM, author = "John Banks and Valentina Dragan", title = "{Smale}'s Horseshoe Map via Ternary Numbers", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "265--271", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "58F13 (26A18 58F03 58F20)", MRnumber = "95a:58079", bibdate = "Fri Oct 27 15:26:43 2000", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", URL = "http://epubs.siam.org/25625.htm", abstract = "Smale's horseshoe map become a standard example in the study of discrete dynamical systems. Smale's horseshoe map occurs in a wide range of physical problem with chaotic dynamics on an invariant set. Its chaotic behaviour is usually shown by first conjugating it to the two-sided shift map. The author give a more elementary treatment of a special, but typical case. The only technical background needed is the Cantor set and its ternary representation.", acknowledgement = ack-nhfb, affiliation = "La Trobe Univ", affiliationaddress = "Bundoora, Aust", classification = "921; 921.6; 931.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Cantor set; Chaos theory; Dense orbit; Dense periodic points; Dynamical systems; Dynamics; Mapping; Mathematical techniques; Numerical analysis; Smale's horseshoe; Ternary numbers", } @Article{Gerlach:1994:ACN, author = "J{\"u}rgen Gerlach", title = "Accelerated Convergence in {Newton}'s Method", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "272--276", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65H10 (65B99)", MRnumber = "95e:65053", MRreviewer = "Carl T. Kelley", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", URL = "http://epubs.siam.org/25467.htm", abstract = "Newton's method is based on a linear approximation of the function whose roots are to be determined taken at the current point, and the resulting algorithm is known to converge quadratically. In a procedure to increase the rate of convergence the author modifies the target function in such a way that Newton's Method applied to the modified function will yield a faster rate of convergence.", acknowledgement = ack-nhfb, affiliation = "Radford Univ", affiliationaddress = "Radford, VA, USA", classification = "921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Convergence of numerical methods; Mathematical techniques; Newton method; Rate of convergence", } @Article{Abraham:1994:ECJ, author = "R. H. Abraham", title = "Encounter with Chaos ({J. Peinke, J. Parisi, O. E. Roessler, and R. Stoop})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "288--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Aebi:1994:SED, author = "R. Aebi", title = "Schr{\"o}dinger Equations and Diffusion Theory ({Masao Nagasawa})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "288--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Aizicovici:1994:AEE, author = "S. Aizicovici", title = "Abstract Evolution Equations, Periodic Problems and Applications ({Daniel Daners and Pablo Koch Medina})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "289--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Agarwal:1994:CNI, author = "R. P. Agarwal", title = "Classical and New Inequalities in Analysis ({D. S. Mitrinovic, J. E. Pecaric, and A. M. Fink})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "290--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Arms:1994:LMJ, author = "J. M. Arms", title = "Lectures on Mechanics ({J. E. Marsden})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "290--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Braden:1994:HWM, author = "B. Braden", title = "Handbook of Writing for the Mathematical Sciences ({Nicholas {J} Higham})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "291--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bryant:1994:NAV, author = "P. J. Bryant", title = "Nonlinearities in Action ({A. V. Gaponov-Grekhov and M. I. Rabinovich})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "292--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Caflisch:1994:VDP, author = "R. E. Caflisch", title = "Vortex Dynamics ({P. G. Saffman})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "293--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Choudhury:1994:DBJ, author = "S. R. Choudhury", title = "Dynamics and Bifurcations ({Jack {K}. Hale and Huseyin Kocak})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "297--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Colombeau:1994:MDA, author = "J.-F Colombeau", title = "Multiplication of Distributions and Applications to Partial Differential Equations ({M. Oberguggenberger})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "299--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cullum:1994:NML, author = "J. Cullum", title = "Numerical Methods for Large Eigenvalue Problems ({Youcef Saad})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "301--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dinwoodie:1994:LDT, author = "I. H. Dinwoodie", title = "Large Deviations Techniques and Applications ({Amir Dembo and Ofer Zeitouni})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "303--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Laha:1994:ISM, author = "R. G. Laha", title = "Identifiability in Stochastic Models ({B. L. S. Prakasa Rao})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "304--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mahaffy:1994:DCM, author = "J. M. Mahaffy", title = "The Dynamics of Cellular Motility ({M. Murase})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "307--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mattson:1994:ECC, author = "H. F. Mattson", title = "Error Correcting Codes-Theory and Applications ({Alain Poli and Llorenc Huguet})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "309--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mladineo:1994:MBM, author = "R. Hunter Mladineo", title = "Model Building in Mathematical Programming ({H. P. Williams})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "313--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Notz:1994:OED, author = "W. I. Notz", title = "Optimum Experimental Designs ({A. C. Atkinson and A. N. Donev})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "315--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Robertson:1994:CTM, author = "J. B. Robertson", title = "Continuous-Time {Markov} Chains ({W. J. Anderson})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "316--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rogers:1994:MPC, author = "R. C. Rogers", title = "Mathematical Problems of Classical Nonlinear Electromagnetic Theory ({Frederick Bloom})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "317--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Schmidt:1994:SPT, author = "D. S. Schmidt", title = "{Scientific Programmer's Toolkit} --- {Turbo Pascal} Edition ({M. H. Bellby, R. D. Harding, and M. R. Manning})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "319--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Scott:1994:HNA, author = "L. Ridgway Scott", title = "Handbook of Numerical Analysis, Volume {II}. Finite Element Methods (Part {I}) ({P. G. Ciarlet and J. L. Lions, eds.})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "320--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Selgrade:1994:DSI, author = "J. F. Selgrade", title = "Dynamical Systems: an Introduction with Applications in Economics and Biology ({Pierre N. V. Tu})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "321--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sturmfels:1994:GBC, author = "B. Sturmfels", title = "{Groebner} Bases --- a Computational Approach to Commutative Algebra ({Thomas Becker and Volker Weispfenning})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "322--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Vanderbauwhede:1994:TBT, author = "A. Vanderbauwhede", title = "Topics in Bifurcation Theory and Applications ({Gerard Iooss and Moritz Adelmeyer})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "323--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Xu:1994:MSI, author = "Y. Xu and W. Lin", title = "Methods of Singular Integral Equations ({A. Dzhuraev})", journal = j-SIAM-REVIEW, volume = "36", number = "2", pages = "324--??", month = jun, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev362.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Blows:1994:BLC, author = "T. R. Blows and L. M. Perko", title = "Bifurcation of Limit Cycles from Centers and Separatrix Cycles of Planar Analytic Systems", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "341--376", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "58F14 (34C05 34C23 58F21 58F30)", MRnumber = "95g:58155", MRreviewer = "Carmen Chicone", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/363-1.htm", abstract = "This paper presents a survey of results on the bifurcation of limit cycles from centers and separatrix cycles of perturbed planar analytic systems and contributes some new results on the bifurcation of multiple limit cycles from centers and on the multiplicity of separatrix cycles of such systems. The basic theme throughout the paper is that the number, positions, and multiplicities of the limit cycles that bifurcate under perturbations are related to the number, positions, and multiplicities of the zeros of the Melnikov function for the system. The general theory is illustrated by a number of examples from the literature, some of which are extended to include new results.", acknowledgement = ack-nhfb, affiliation = "Northern Arizona Univ", affiliationaddress = "Flagstaff, AZ, USA", classification = "921.1; 921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Approximation theory; Bifurcation; Convergence of numerical methods; Differential equations; Limit cycles; Melnikov function; Perturbation techniques; Planar analytic systems; Polynomials; Qualitative behavior; Separatrix; Theory", } @Article{Jawerth:1994:OWB, author = "Bj{\"o}rn Jawerth and Wim Sweldens", title = "An Overview of Wavelet Based Multiresolution Analyses", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "377--412", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "42-02 (42C15)", MRnumber = "95f:42002", MRreviewer = "Marius Mitrea", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/24402.htm", abstract = "In this paper an overview of wavelet based multiresolution analyses is presented. First, the continuous wavelet transform in its simplest form is discussed. Then, the definition of a multiresolution analysis is given and how wavelets fit into it is shown. The authors take a closer look at orthogonal, biorthogonal and semiorthogonal wavelets. The fast wavelet transform, wavelets on an interval, multidimensional wavelets and wavelet packets are discussed. Several examples of wavelet families are introduced and compared. Finally, the essentials of two major applications are outlined: data compression and compression of linear operators.", acknowledgement = ack-nhfb, affiliation = "Univ of South Carolina", affiliationaddress = "Columbia, SC, USA", classification = "723.2; 921.3; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Approximation theory; Compression of linear operators; Data compression; Mathematical operators; Mathematical transformations; Multiresolution analyses; Signal processing; Waveform analysis; Wavelet; Wavelet transform", } @Article{OMalley:1994:SPE, author = "Robert E. {O'Malley, Jr.}", title = "On Singular Perturbations, Especially Matching", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "413--414", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34E15", MRnumber = "1 292 643", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25788.htm", abstract = "Discussed is a collection of essays designed to help whoever is interested in developing and applying the basic ideas of singular perturbations to new and significant scientific problems. Historical discussion is also integrated. The emphasis is directed to the asymptotic matching approximations as follows; (1) rudimentary nineteenth-century examples arising in many fields; (2) expansion procedures for the Navier--Stokes equations for high and low Reynolds numbers; (3) debates whether matching needs an overlap hypothesis; (4) simpler boundary function method which can often be easily employed.", acknowledgement = ack-nhfb, affiliation = "Univ of Washington", affiliationaddress = "Seattle, WA, USA", classification = "921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Applied mathematics; Approximation theory; Asymptotic matching of approximations; Computational methods; Equations of motion; Essays; Navier Stokes equations; Perturbation techniques; Reynolds number; Singular perturbation; Symposium; Technical presentations; Theory", } @Article{VanDyke:1994:NCR, author = "Milton {Van Dyke}", title = "{Nineteenth-Century} Roots of the Boundary-Layer Idea", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "415--424", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "76-03 (01A55 34E05 76D30)", MRnumber = "95e:76001", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25789.htm", abstract = "Ludwig Prandtl is properly credited with the development of the boundary-layer idea in viscous flow, which was generalized to the method of matched asymptotic expansions. However, the idea of matching a global and a local approximation was previously applied to specific problems in the nineteenth century by a number of well-known natural philosophers, starting with Laplace in 1805. The author summarizes their applications in hydrostatics, hydrodynamics, elasticity, electrostatics, and acoustics, with particular attention to the process of matching.", acknowledgement = ack-nhfb, affiliation = "Stanford Univ", affiliationaddress = "Stanford, CA, USA", classification = "421; 631.1; 631.2; 701.1; 751.1; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Acoustics; Approximation theory; Boundary layers; Elasticity; Electrostatics; Hydrodynamics; Hydrostatics; Matched asymptotic expansions; Perturbation techniques; Singular perturbations; Viscous flow", } @Article{Cole:1994:DPT, author = "Julian D. Cole", title = "The Development of Perturbation Theory at {GALCIT}", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "425--430", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34E15 (01A60 34-03 35B20 35B25)", MRnumber = "1 292 645", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25790.htm", abstract = "Caltech was founded through the collaboration of three persons one of them is Robert A. Millikan who later transferred to GALCIT. This school is doing researches on the development of perturbation theory. The study done by Caltech and GALCIT is concerned specifically in drawing out systematically laminar solutions of the Navier--Stokes equation. The group also considered other kinds of perturbation problems. A list of books containing the developments of the study is included.", acknowledgement = ack-nhfb, affiliation = "Rensselaer Polytechnic Inst", affiliationaddress = "Troy, NY, USA", classification = "631.1; 641.1; 921.2; 921.6; 931.1; 931.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Boundary layers; Boundary value problems; Compressible flow; Damping; Differential equations; Equations of motion; Integral equations; Linear equation; Modification; Navier Stokes equations; Oscillations; Perturbation techniques; Theory; Thermal effects; Viscosity", } @Article{Eckhaus:1994:FCM, author = "Wiktor Eckhaus", title = "Fundamental Concepts of Matching", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "431--439", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34E15 (03H05)", MRnumber = "95g:34076", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25791.htm", abstract = "The author reviews the foundations of the two mainstreams in matching: the intermediate matching and the asymptotic matching principles and the interrelations between the two procedures are discussed.", acknowledgement = ack-nhfb, affiliation = "Univ of Utrecht", affiliationaddress = "Neth", classification = "921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Applied sciences; Asymptotic matching; Boundary layers; Intermediate matching; Interrelations; Mathematical models; Numerical methods; Perturbation techniques; Singular perturbations; Theory", } @Article{Vasilieva:1994:DSP, author = "A. B. Vasilieva", title = "On the Development of Singular Perturbation Theory at {Moscow State University} and Elsewhere", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "440--452", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "34E15 (01A65 34-03)", MRnumber = "95h:34079", MRreviewer = "H. C. Howard", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25729.htm", abstract = "Systematic study of singularly perturbed systems originated in the Soviet Union. Tikhonov was the first one to develop the initial value problem in two equations. I. S. Gradstein followed and he considered linear equations and systems. He had pupils who worked with him while Tikhonov do not. B. Vasilieva investigated the derivatives of the solutions of Tikhonov's equations, while Vosolov derived the averaging method. Only a small development was done by the others who treated the problem. The most significant work was done by A. J. Ralinin. Belyanin tackled semiconductor devices by describing them in equations. He considered one-dimensional and two-dimensional models of diodes.", acknowledgement = ack-nhfb, affiliation = "Moscow State Univ", affiliationaddress = "Moscow, Russia", classification = "714.2; 731.1; 921.1; 921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Approximation theory; Averaging method; Boundary function method; Computational methods; Convergence of numerical methods; Differential equations; Eigenvalues and eigenfunctions; Finite difference method; Iterative methods; Jacobian matrix; Matrix algebra; Numerical methods; Optimal control systems; Perturbation techniques; Semiconductor devices; Singular perturbation theory; Surveys", } @Article{Chen:1994:VSE, author = "Goong Chen and Philip J. Morris and Jian-Xin Zhou", title = "Visualization of Special Eigenmode Shapes of a Vibrating Elliptical Membrane", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "453--469", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "73D30 (35J05 65N25 73K10 73V20)", MRnumber = "95g:73020", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/23332.htm", abstract = "Analysis of eigenfunctions and eigenvalues of the Laplacian is important in the understanding of distributed parameter vibration systems and quantum mechanics. The elliptical domain is advantageous for such work because it allows the explicit representation of eigenfunctions as products of the Mathieu functions. In [Ann. Phys., 9 (1960), pp. 24-75], Keller and Rubinow used wave propagation, geometrical optics, and WKB methods to show that two special types of eigenmodes, whispering gallery and bouncing ball modes, exist on a general convex domain, and they illustrated the case of an elliptical domain. In this paper, we develop a numerical package of the Mathieu and modified Mathieu functions to actually construct profiles of a sequence of eigenfunctions in order to visualize such special eigenmodes and others. In the process, we have also been able to observe a new type of transition state named `focusing modes' herein, which seem to have a complementary behavior to the bouncing ball modes. Numerical eigenvalues are tabulated for comparison and some discussions on the `focusing modes' are presented.", acknowledgement = ack-nhfb, affiliation = "Texas A\&M Univ", affiliationaddress = "College Station, TX, USA", classification = "741.1; 751.1; 921.1; 931.1; 931.4", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Acoustics; Bouncing ball and focusing modes; Distributed parameter vibration systems; Eigenmodes; Eigenvalues and eigenfunctions; Estimation; Geometrical optics; Laplacian; Mathieu functions; Membranes; Oscillations; Quantum mechanics; Quantum theory; Vibrating elliptical membrane; Vibrations (mechanical); Visualization; Wave propagation; Wentzel Kramers Brillouin method; Whispering gallery", xxauthor = "Goong Chen and Philip J. Morris and Jianxin Zhou", } @Article{Wolper:1994:TPA, author = "James S. Wolper", title = "Turn Performance of Aircraft", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "470--473", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "76G25 (93A30)", MRnumber = "1 292 649", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25697.htm", abstract = "The turn radius of an aircraft is calculated as a function of load factor, simplifying the problem of determining the airspeed and angle of bank for a minimum radius turn.", acknowledgement = ack-nhfb, affiliation = "Idaho State Univ", affiliationaddress = "Pocatello, ID, USA", classification = "651.1; 652.1; 921.6; 931.5", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Aircraft; Aircraft performance; Angle of bank; Antigravitation magnets; Calculations; Flight dynamics; Gravitation; Lift; Load factor; Magnets; Performance; Rotors; Speed; Turbomachine blades; Turn radius; Wings", } @Article{Seliktar:1994:FHW, author = "Miriam Seliktar and Chris Rorres", title = "The Flow of Hot Water from a Distant Hot-Water Tank", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "474--479", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "80A20 (35Q99)", MRnumber = "95e:80003", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/25826.htm", abstract = "When turning on a hot-water faucet, there is an expected delay in the arrival of the hot water because the cold water in the pipe between the hot-water tank and the faucet must first run out. However, there is an additional delay caused by the cold pipe cooling the incoming hot water. This note analyzes this phenomenon, with specific emphasis on how the thermal coupling between the pipe and the fluid influences the additional delay.", acknowledgement = ack-nhfb, affiliation = "Villanova Univ", affiliationaddress = "Villanova, PA, USA", classification = "619.1; 619.2; 631.1; 641.2; 921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Ambient temperature; Asymptotic analysis; Cooling; Differential equations; Faucet; Flow of water; Heat transfer; Mathematical models; Partial differential equations; Temperature; Thermal coupling; Water; Water piping systems; Water tanks", } @Article{Olek:1994:ASM, author = "Shmuel Olek", title = "An Accurate Solution to the Multispecies {Lotka--Volterra} Equations", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "480--488", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "92D25", MRnumber = "95e:92017", bibdate = "Fri Dec 4 21:58:29 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", URL = "http://epubs.siam.org/24342.htm", abstract = "The decomposition method is applied to the solution of the Lotka--Volterra equations modelling the dynamic behaviour of an arbitrary number of species. The analytical solution derived is an infinite power series for each species, where the n term is given by a recurrence relation. As particular examples, the cases of one, two, and three species are considered. For these cases, comparisons between the present semi-analytical solution and a fully numerical solution (or an exact one for one species) show excellent agreement.", acknowledgement = ack-nhfb, affiliation = "Israel Electric Corp Ltd", affiliationaddress = "Haifa, Isr", classification = "731.1; 802.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Approximation theory; Chemical reactions; Computational methods; Decomposition; Dynamic response; Infinite power series; Lotka Volterra equations; Mathematical models; Nonlinear control systems; Numerical solution; Recurrence relation; Runge Kutta Verner method; Semi analytical solution; Species dynamics", } @Article{Athanasopoulos:1994:MPA, author = "B. D. Athanasopoulos", title = "Moments in Probability and Approximation Theory ({George {A} Anastassiou})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "501--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Beck:1994:MMN, author = "J. V. Beck", title = "The Mollification Method and the Numerical Solution of Ill-Posed Problems ({Diego A. Murio})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "502--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Oct 24 12:50:43 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bickel:1994:IBN, author = "P. J. Bickel", title = "Information Bounds and Nonparametric Maximum Likelihood Estimation ({Piet Groeneboom and Jon {A}. Wellner})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "503--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Devaney:1994:CDL, author = "R. L. Devaney", title = "Complex Dynamics ({Lennart Carleson and Theodore W. Gamelin})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "504--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Devaney:1994:RIC, author = "R. L. Devaney", title = "Rational Iteration: Complex Analytic Dynamical Systems ({Norbert Steinmetz})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "504--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Engl:1994:RMI, author = "H. W. Engl", title = "Regularization Methods for Ill-Posed Problems ({V. A. Morozow})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "505--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Farebrother:1994:PMC, author = "R. W. Farebrother", title = "{Pitman}'s Measure of Closeness --- {A} Comparison of Statistical Estimators ({Jerome P. Keating, Robert L. Mason, and Pranab K. Sen})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "507--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:27:00 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Glass:1994:IMC, author = "E. Glass", title = "An Introduction to Mathematical Cosmology ({J. N. Islam})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "507--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hanke:1994:CIL, author = "M. Hanke", title = "Convergence of Iterations for Linear Equations ({Olavi Nevanlinna})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "508--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kieffer:1994:EIT, author = "J. Kieffer", title = "Elements of Information Theory ({Thomas {M}. Cover and Joy {A} Thomas})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "509--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Knight:1994:SAB, author = "F. Knight", title = "Some Aspects of {Brownian} Motion, Part 1 ({Marc Vor})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "511--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{King:1994:MMJ, author = "J. T. King", title = "Multigrid Methods ({James {H}. Bramble})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "512--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Novak:1994:IBC, author = "E. Novak", title = "Information-Based Complexity ({Joseph {F}. Traub, {G}. {W} Wasilkowski, and {H}. Wozniakowski})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "514--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Palmore:1994:CDF, author = "J. Palmore", title = "Chaos, Dynamics and Fractals: an Algorithmic Approach to Deterministic Chaos ({J. L. McCauley})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "515--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pardalos:1994:OSG, author = "P. M. Pardalos", title = "Optimization Software Guide ({Jorge {J}. More and Stephen {J} Wright})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "518--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Raoult:1994:EDE, author = "A. Raoult", title = "Elliptic Differential Equations ({W. Hackbusch})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "518--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sivaganesan:1994:PII, author = "S. Sivaganesan", title = "Predictive Inference: an Introduction ({Seymour Geisser})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "519--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sleeman:1994:IAE, author = "B. D. Sleeman", title = "Inverse Acoustic and Electromagnetic Scattering Theory ({D Colton and R. Kress})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "520--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Trummer:1994:CTP, author = "M. R. Trummer", title = "The {Cauchy} Transform, Potential Theory and Conformal Mapping ({Steven R. Bell})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "523--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tutschke:1994:TTK, author = "W. Tutschke", title = "Transformations, Transmutations, and Kernel Functions, Vol. 1 ({H. Begehr and R. P. Gilbert})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "524--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wasilkowski:1994:CCD, author = "G. W. Wasilkowski", title = "The Computational Complexity of Differential and Integral Equations: an Information-Based Approach ({Arthur {G}. Werschulz})", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "525--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wickerhauser:1994:BRW, author = "Mladen Victor Wickerhauser", title = "Book Review: {{\em Wavelets: Algorithms and Applications} by Yves Meyer}", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "526--528", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wickerhauser-m-victor.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", note = "Book review", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Gardner:1994:WAA, author = "W. Gardner", title = "Wavelets: Algorithms and Applications ({Yves Meyer}): Author's Comment", journal = j-SIAM-REVIEW, volume = "36", number = "3", pages = "528--??", month = sep, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev363.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Casey:1994:SCE, author = "Stephen D. Casey and David F. Walnut", title = "Systems of Convolution Equations, Deconvolution, {Shannon} Sampling, and the Wavelet and {Gabor} Transforms", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "537--577", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "94A12 (42C15 45E10 68U05 94A11)", MRnumber = "95j:94006", MRreviewer = "Peter A. McCoy", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://epubs.siam.org/24616.htm", abstract = "A theory for solving the convolution equation $s = f \times \mu$ was proposed recently. This study aims to describe the strongly coprime condition and give examples of sets of strongly coprime sensors and their deconvolution for functions in one dimension. It will be shown how the theory can work with the Shannon Sampling Theorem. Since the purpose of deconvolution is greater signal resolution, it will also be shown how data compression and analysis are implemented in coordination with the deconvolution methods described above. Finally, several applications of the theory are considered.", acknowledgement = ack-nhfb, affiliation = "American Univ", affiliationaddress = "Washington, DC, USA", classification = "703.2; 723.2; 731.1; 732.2; 921.3; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Approximation theory; Convolution equations; Data compression; Data reduction; Deconvolution; Digital filters; Digital to analog conversion; Functions; Gabor transforms; Interpolation; Linear translation invariant systems; Mathematical models; Nyquist diagrams; Sampling; Sensors; Shannon sampling; Signal processing; Wavelet transforms", } @Article{Babuska:1994:VFE, author = "Ivo Babu{\v{s}}ka and Manil Suri", title = "The $p$ and $h$-$p$ versions of the finite element method, basic principles and properties", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "578--632", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65N30 (73V05)", MRnumber = "96d:65184", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://epubs.siam.org/23906.htm", abstract = "In the classical form of the finite element method called the h version, piecewise polynomials of fixed degree $p$ are used and the mesh size $h$ is decreased for accuracy. In this paper, we discuss the fundamental theoretical ideas behind the relatively recent $p$ version and $h$-$p$ version. In the $p$ version, a fixed mesh is used and $p$ is allowed to increase. The $h$-$p$ version combines both approaches. The authors describe and explain the basic properties and characteristics of these newer versions, especially in areas where their behavior is significantly different from that of the $h$ version. Simplified proofs of key concepts are included and computational illustrations of several results are provided. A benchmark comparison between the various versions in included.", acknowledgement = ack-nhfb, affiliation = "Univ of Maryland Coll Park", affiliationaddress = "College Park, MD, USA", classification = "723.1; 723.5; 921.1; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Codes (symbols); Computational fluid dynamics; Computer software; Finite element method; H-p version; H-version; P-version; Piecewise polynomials; Polynomials", } @Article{Robinson:1994:PVC, author = "F. N. H. Robinson", title = "{Poynting}'s vector. Comments on a recent paper by {C. Jeffries: {``A new conservation law for classical electrodynamics''} [{SIAM} Rev. {\bf 34} ({1992}), no. 3, 386--405 and {MR} 93i:78005]. With a reply by Jeffries}", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "633--637", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "78A25 (78A40)", MRnumber = "96f:78003", MRreviewer = "Philip Huddleston", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://epubs.siam.org/25039.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jeffries:1994:PVC, author = "Clark Jeffries", title = "{Poynting}'s Vector: Comments on a Recent Paper by {Clark Jeffries}: Response to a Commentary by {F. N. H. Robinson}", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "638--641", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://epubs.siam.org/25583.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ng:1994:SCO, author = "Kevin Y. K. Ng", title = "Symbolic Computations in Operations Research", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "642--648 (or 642--647??)", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "68Q40 (90-04)", MRnumber = "1 306 926", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://epubs.siam.org/26153.htm", abstract = "While symbolic computation is enjoying success in its applications towards engineering and physical sciences, its application in operations research is still in an infancy stage. The purpose of this article is to demonstrate the use of symbolic manipulations for the automatic generation of solutions necessary for theoretical and practical analyses of operations research problems. The advantage of symbolic computations is that it enables one to eliminate a good deal of the drudgery (and errors) of formal manipulations in establishing closed form solutions.", acknowledgement = ack-nhfb, affiliation = "Univ of Ottawa", affiliationaddress = "Ottawa, Ont, Can", classification = "721.1; 912.3; 913.1; 921.1; 921.6; 922.1; C1290 (Applications of systems theory); C7310 (Mathematics computing)", corpsource = "Oper. Res. and Anal., Department of Nat. Defence, Ottawa, Ont., Canada", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Boolean algebra; Computation theory; Computational analysis; Computer algebra; Computer software; formal manipulations; Mathematical models; Numerical analysis; operations research; Operations research; Production; Reliability; symbol manipulation; Symbolic computation; symbolic computation", treatment = "P Practical", } @Article{Nield:1994:OEF, author = "D. A. Nield", title = "Odd-Even Factorization Results for Eigenvalue Problems", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "649--651", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "15A18 (34A30 34B05)", MRnumber = "95h:15017", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", abstract = "It is demonstrated that, in each of two problems which involve physical symmetry, the appropriate eigenvalue equation factorizes into two equations, one of which corresponds to solutions which are even functions of the independent variable, and the other to solutions which are odd functions. The first situation involves a two-point boundary value problem and a linear differential equation. The second involves the eigenvalue problem for a matrix which is symmetric about both of its diagonals.", acknowledgement = ack-nhfb, affiliation = "Univ of Auckland", affiliationaddress = "Auckland, New Zealand", classification = "601.3; 641.2; 921.1; 921.2; 921.6; 931.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Benard convection; Boundary conditions; Boundary value problems; Buckling; Eigenvalue problems; Eigenvalues and eigenfunctions; Functions; Heat convection; Loads (forces); Matrix algebra; Mechanisms; Odd-even factorization; Rayleigh number; Vibrations (mechanical)", } @Article{Angus:1994:PIT, author = "John E. Angus", title = "The Probability Integral Transform and Related Results", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "652--654", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "62E15", MRnumber = "95h:62018", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/36/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://epubs.siam.org/26453.htm", abstract = "A simple proof of the probability integral transform theorem in probability and statistics is given that depends only on probabilistic concepts and elementary properties of continuous functions. This proof yields the theorem in its fullest generality. A similar theorem that forms the basis for the inverse method of random number generation is also discussed and contrasted to the probability integral transform theorem. Typical applications are discussed. Despite their generality and far reaching consequences, these theorems are remarkable in their simplicity and ease of proof.", acknowledgement = ack-nhfb, affiliation = "Claremont Graduate Sch", affiliationaddress = "Claremont, CA, USA", classification = "921.2; 921.3; 921.6; 922.1; 922.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Cumulative distribution function; Functions; Integral equations; Inverse problems; Mathematical transformations; Pivot functions; Probability; Probability integral transform; Random number generation; Statistical inference; Statistics", } @Article{Wolkowicz:1994:PS, author = "H. Wolkowicz", title = "Problem Solution 93-17", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "657--659", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", fjournal = "SIAM Review", } @Article{Burckel:1994:HCD, author = "R. B. Burckel", title = "A History of Complex Dynamics from {Schroeder} to {Fatou} and {Julia} ({Daniel {S}. Alexander})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "663--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chafee:1994:NOD, author = "N. Chafee", title = "Nonlinear Ordinary Differential Equations ({R. Grimshaw})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "664--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chang:1994:TLM, author = "T. C. Chang", title = "The Theory of Linear Models ({Bent Jorgensen})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "665--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chang:1994:LSM, author = "T. C. Chang", title = "Large Sample Methods in Statistics: An Introduction with Applications ({Pranab {K}. Sen and Julio {M}. Singer})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "666--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Churchill:1994:IPT, author = "R. Churchill", title = "Invertible Point Transformations and Nonlinear Differential Equations ({Willi-Hans Steeb})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "666--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cottle:1994:LPR, author = "R. W. Cottle", title = "Linear Programs and Related Problems ({Evar {D}. Nering and Albert {W}. Tucker})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "666--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Duncan:1994:NMS, author = "T. E. Duncan", title = "Numerical Methods for Stochastic Control Problems in Continuous Time ({Harold {J}. Kushner and Paul {G}. Dupuis})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "668--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Fenstad:1994:HTP, author = "J. E. Fenstad", title = "{Hilbert}'s Tenth Problem ({Y. V. Matiyasevich})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "669--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:27:05 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hockett:1994:QTD, author = "K. Hockett", title = "Qualitative Theory of Dynamical Systems ({L. Dingjun and T. Libang})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "671--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Howison:1994:REE, author = "R. C. Howison", title = "{Russian--English, English--Russian Dictionary on Probability, Statistics, and Combinatorics} ({K. A. Borovkov})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "672--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kincaid:1994:NCU, author = "D. R. Kincaid", title = "Numerical Computation Using {C} ({Robert Glassey})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "672--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McArthur:1994:RNM, author = "K. M. McArthur", title = "Review: {{\em Numerical Methods Based on {Sinc} and Analytic Functions}} ({Frank Stenger})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "673--674", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/siamreview.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", URL = "http://links.jstor.org/sici?sici=0036-1445%28199412%2936%3A4%3C673%3ANMBOSA%3E2.0.CO%3B2-J", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{McArthur:1994:NMB, author = "K. M. McArthur", title = "Numerical Methods Based on Sinc and Analytic Functions ({Frank Stenger})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "673--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Meyer:1994:AIT, author = "G. H. Meyer", title = "Applied Integral Transforms ({M. Ya. Antimirov, A. A. Kolyshin, and Remi Vaillancourt})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "674--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pavel:1994:FNM, author = "N. H. Pavel", title = "Functional and Numerical Methods in Viscoplasticity ({I. R. Ionescu and M. Sofonea})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "675--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Senechal:1994:VMM, author = "M. Senechal", title = "The Visual Mind ({M. Emmer, ed.})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "676--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sivaganesan:1994:IBB, author = "S. Sivaganesan", title = "An Introduction to the Bootstrap ({Bradley Efron and Robert {J} Tibshirani})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "677--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{vanderVorst:1994:PNA, author = "H. van der Vorst", title = "Parallel Numerical Algorithms ({T. L. Freeman and C. Phillips})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "678--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Whittle:1994:OMB, author = "G. Whittle", title = "Oriented Matroids ({A. Bjorner, M. Las Vergnas, B. Sturmfels, N. White, and G. Ziegler})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "679--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yakowitz:1994:TSA, author = "S. Yakowitz", title = "Time Series Analysis of Higher Order Crossings ({B. Kedem})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "680--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ye:1994:IPP, author = "Y. Ye", title = "Interior-Point Polynomial Algorithms in Convex Programming ({Y. Nesterov and A. Nemirovskii})", journal = j-SIAM-REVIEW, volume = "36", number = "4", pages = "682--??", month = dec, year = "1994", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev364.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Heijmans:1995:MMM, author = "Henk J. A. M. Heijmans", title = "Mathematical Morphology: {A} Modern Approach in Image Processing Based on Algebra and Geometry", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "1--36", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "68U10 (06B99 52B55)", MRnumber = "96g:68146", MRreviewer = "Gilbert Crombez", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/23546.htm", abstract = "Mathematical morphology is a theory of image transformations and image functionals which is based on set-theoretical, geometrical, and topological concepts. The methodology is particularly useful for the analysis of the geometrical structure in an image. The main goal of this paper is to give an impression of the underlying philosophy and the mathematical theories which are relevant to this field. The following topics are discussed: introduction to mathematical morphology; generalization to complete lattices; morphological filters and their construction by iteration; geometrical aspects of morphology (e.g., convexity, distance, geodesic operators, granulometries, metric dilations, distance transform, cost functions); and extension of binary operators to grey-scale images.", acknowledgement = ack-nhfb, affiliation = "Cent for Mathematics and Computer Science", affiliationaddress = "Amsterdam, Neth", classification = "721.1; 723.2; 921.1; 921.3; 921.4; 921.6; B6140C (Optical information, image and video signal processing); C1250 (Pattern recognition)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algebra; algebra; Binary operator extension; binary operators; Binary sequences; Boolean functions; complete lattices; Complete lattices; Convex set; convexity; cost functions; distance transform; Gauge function; geodesic operators; Geometry; geometry; granulometries; Granulometry; grey-scale images; Hit or miss operator; Image analysis; Image functionals; image processing; Image processing; Image transformation theory; image transformations; Iterative methods; Mathematical morphology; mathematical morphology; Mathematical operators; Mathematical transformations; metric dilations; Morphological filters; morphological filters; Set theory; Topology", treatment = "T Theoretical or Mathematical", } @Article{Saari:1995:CEA, author = "Donald G. Saari", title = "A Chaotic Exploration of Aggregation Paradoxes", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "37--52", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90A08 (58F40)", MRnumber = "97a:90008", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/25849.htm", abstract = "Paradoxes from statistics and decision sciences form amusing, yet intriguing mathematical puzzles. On deeper examination, they constitute serious problems that could cause us, unintentionally, to adopt inferior alternatives. It is indicated here how ideas from `dynamical chaos' and orbits of symmetry groups can be modified and combined to create a mathematical theory to understand, classify, and find new properties of these puzzling phenomena.", acknowledgement = ack-nhfb, affiliation = "Northwestern Univ", affiliationaddress = "Evanston, IL, USA", classification = "721.1; 921; 921.6; 922.1; 922.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Aggregation paradox; Chaos theory; Computation theory; Decision theory; Kruskal-Wallis test; Mathematical techniques; Positional voting; Probability; Statistical methods", } @Article{Horgan:1995:APS, author = "C. O. Horgan", title = "Anti-plane Shear Deformations in Linear and Nonlinear Solid Mechanics", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "53--81", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "73-02 (35Q72 73C02 73C50 73G05)", MRnumber = "96b:73002", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/26520.htm", abstract = "Anti-plane shear deformations are one of the simplest classes of deformations that solids can undergo. In anti-plane shear of a cylindrical body, the displacement is parallel to the generators of the cylinder and is independent of the axial coordinate. Thus anti-plane shear, with just a single scalar axial displacement field, may be viewed as complementary to the more complicated plane strain deformation. Because of its relative analytic simplicity compared with plane problems, the anti-plane shear problem plays a useful role as a pilot problem, within which various aspects of solutions in solid mechanics may be examined in a particularly simple setting. In this review article, modern developments concerning the anti-plane shear model and its applications are described for both linear and nonlinear solid mechanics.", acknowledgement = ack-nhfb, affiliation = "Univ of Virginia", affiliationaddress = "Charlottesville, VA, USA", classification = "421; 921.2; 921.6; 931.1; 931.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Antiplane shear deformations; Cylinders (shapes); Displacement; Hyperbolic equations; Mathematical models; Mechanics; Partial differential equations; Quasilinear elliptic equations; Shear deformation; Solid mechanics; Solids; Strain", } @Article{Vasko:1995:OCC, author = "Francis J. Vasko and Kenneth L. Stott", title = "Optimizing Continuous {Caster} Product Dimensions: An Example of a Nonlinear Design Problem in the Steel Industry", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "82--84", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C90", MRnumber = "95m:90153", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/26136.htm", abstract = "A continuous casting machine is used in the steel industry to transform liquid steel into semifinished pieces of steel which are further processed through rolling mills to their final dimensions. When the product of the continuous casting process is a rectangular piece of steel it is referred to as a bloom, a billet, or a slab depending on size and aspect ratio (width\slash thickness). The problem of determining the optimal cross-sectional dimensions is formulated as a nonlinear programming problem and solved using the software package EUREKA.", acknowledgement = ack-nhfb, affiliation = "Kutztown Univ", affiliationaddress = "Kutztown, PA, USA", classification = "534.2; 545.3; 723.1; 913.1; 921.5", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Aspect ratio; Computer software; Continuous casting; Continuous casting machine; Iron and steel industry; Nonlinear design problem; Nonlinear programming; Optimization; Problem solving; Product design; Product dimensions; Steel", } @Article{Benjamin:1995:SRR, author = "Arthur T. Benjamin", title = "Sensible Rules for Remembering Duals --- The {S}-{O}-{B} Method", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "85--87", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C05", MRnumber = "1 327 718", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/26452.htm", abstract = "A linear program (LP) is a problem of maximizing or minimizing a linear function subject to linear equality or inequality constraints. Associated with any LP is a dual LP with many important properties. It is demonstrated here how the dual LP arises naturally from the original LP, and a method for creating the dual that is very easy to remember is provided.", acknowledgement = ack-nhfb, affiliation = "Harvey Mudd Coll", affiliationaddress = "Claremont, CA, USA", classification = "921.1; 921.5; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Constraint theory; Duality; Functions; Linear function; Linear programming; Lower bound; Matrix algebra; Optimization; Upper bound; Vectors", } @Article{Keller:1995:HMS, author = "Joseph B. Keller", title = "How Many Shuffles to Mix a Deck?", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "88--89", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60C05 (60F05)", MRnumber = "96b:60018", MRreviewer = "Demetrios L. Antzoulakos", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/26629.htm", abstract = "A simple probabilistic model is devised to determine the number of shuffles required for the bottom card of a deck to become uniformly distributed with a specified tolerance. This number is a lower bound on the number of shuffles needed for the entire deck to be randomly mixed.", acknowledgement = ack-nhfb, affiliation = "Stanford Univ", affiliationaddress = "Stanford, CA, USA", classification = "921.6; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Calculations; Card deck; Lower bound; Mathematical models; Number of shuffles; Probabilistic model; Probability; Random mixing; Random processes", } @Article{Deutsch:1995:RLS, author = "Sid Deutsch", title = "A Resonant Line Structure Consisting of Rational Right Triangles", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "90--92", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "51M04", MRnumber = "96e:51019", MRreviewer = "H. W. Guggenheimer", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/27020.htm", abstract = "A resonant structure made out of transmission lines is considered. Resonance is achieved as a result of the time delay experienced by a signal as it propagates along the lines. It turns out that the resonant configuration forms right triangles, all of whose side lengths are rational.", acknowledgement = ack-nhfb, affiliation = "Univ of South Florida", affiliationaddress = "Tampa, FL, USA", classification = "703.1; 706.2; 711.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Delay lines; Electric lines; Electromagnetic wave propagation; Frequencies; Rational right triangles; Resonance; Resonant line structure; Signal propagation; Time delay; Transmission line theory; Velocity", } @Article{Bagnara:1995:UPC, author = "Roberto Bagnara", title = "A Unified Proof for the Convergence of {Jacobi} and {Gauss--Seidel} Methods", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "93--97", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65F10", MRnumber = "96a:65038", MRreviewer = "L. W. Ehrlich", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/1; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", URL = "http://epubs.siam.org/25266.htm", abstract = "We present a new unified proof for the convergence of both the Jacobi and the Gauss--Seidel methods for solving systems of linear equations under the criterion of either (a) strict diagonal dominance of the matrix, or (b) diagonal dominance and irreducibility of the matrix. These results are well known. The proof for criterion (a) makes use of Gersgorin's theorem, while the proof for criterion (b) uses Taussky' theorem that extends Gersgorin's work. Hence the topic is interesting for teaching purposes.", acknowledgement = ack-nhfb, affiliation = "Universita di Pisa", affiliationaddress = "Pisa, Italy", classification = "721.1; 921.1; 921.6; B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dipartimento di Inf., Pisa Univ., Italy", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "convergence; Convergence of numerical methods; Eigenvalues and eigenfunctions; Gauss Seidel methods; Gauss--Seidel methods; Gersgorin's theorem; Iterative methods; Jacobi method; Jacobi methods; Jacobian matrices; linear algebra; linear equations; Linear equations; matrix; Matrix algebra; Matrix irreducibility; Numerical methods; Permutation matrix; Taussky's theorem; Theorem proving; unified proof", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Anonymous:1995:PSa, author = "Anonymous", title = "Problems and Solutions", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "98--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kocic:1995:GBN, author = "V. L. Kocic and G. Ladas and Ravi P. Agarwal", title = "Global Behavior of Nonlinear Difference Equations", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "114--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ahuja:1995:NF, author = "R. K. Ahuja and T. L. Magnanti and J. B. Orlin and Michael O. Ball", title = "Network Flows", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "115--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ribenboim:1995:CC, author = "P. Ribenboim and J. W. S. Cassels", title = "{Catalan}'s Conjecture", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "116--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:27:09 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pruss:1995:EIE, author = "J. Pruss and C. Corduneanu", title = "Evolutionary Integral Equations and Applications", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "117--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Castrigiano:1995:CT, author = "Domenico P. L. Castrigiano and Sandra A. Hayes and David Chillingworth", title = "Catastrophe Theory", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "118--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Zegeling:1995:MGM, author = "P. A. Zegeling and Thomas K. DeLillo", title = "Moving-Grid Methods for Time-Dependent Partial Differential Equations", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "120--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bakonyi:1995:SAS, author = "M. Bakonyi and T. Constantinescu and A. E. Frazho", title = "{Schur}'s Algorithm and Several Applications", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "121--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Fri Oct 27 15:27:12 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Shampine:1995:NSO, author = "L. F. Shampine and I. Gladwell", title = "Numerical Solution of Ordinary Differential Equations", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "122--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rubinstein:1995:PDE, author = "I. Rubinstein and L. Rubinstein and Ronald B. Guenther", title = "Partial Differential Equations in Classical Mathematical Physics", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "123--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ting:1995:VVF, author = "L. Ting and R. Klein and Max D. Gunzburger", title = "Viscous Vortical Flows", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "124--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Shasha:1995:CPC, author = "Dennis Shasha and Glen Richard Hall", title = "Codes, Puzzles, and Conspiracy", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "127--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{ORourke:1995:CGC, author = "J. O'Rourke and Christoph M. Hoffmann", title = "Computational Geometry in {C}", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "128--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lorenz:1995:EC, author = "E. N. Lorenz and Philip Holmes", title = "The Essence of Chaos", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "129--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Jurek:1995:OLD, author = "Z. J. Jurek and J. D. Mason and W. N. Hudson", title = "Operator-Limit Distributions in Probability Theory", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "131--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Heck:1995:IM, author = "Andre Heck and Wolfram Koepf", title = "Introduction to {Maple}", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "132--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bridges:1995:STE, author = "Thomas Bridges and Jacques E. Furter and Kenneth R. Meyer", title = "Singularity Theory and Equivariant Symplectic Maps", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "135--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kwapien:1995:RSS, author = "Stanislaw Kwapien and Wojbar A. Woyczynski and Philip Protter", title = "Random Series and Stochastic Integrals: Single and Multiple", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "135--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anile:1995:RMN, author = "A. M. Anile and J. K. Hunter and P. Pantano and G. Russo and Jeffrey Rauch", title = "Ray Methods for Nonlinear Waves in Fluids and Plasmas", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "136--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Holmgren:1995:FCD, author = "R. A. Holmgren and James T. Sandefur", title = "A First Course in Discrete Dynamical Systems", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "137--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Yakubov:1995:CRF, author = "S. Yakubov and Hans Triebel", title = "Completeness of Root Functions of Regular Differential Operators", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "138--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:SCa, author = "Anonymous", title = "Selected Collections", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "139--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:Ca, author = "Anonymous", title = "Chronicle", journal = j-SIAM-REVIEW, volume = "37", number = "1", pages = "142--??", month = mar, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev371.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dongarra:1995:SLL, author = "Jack J. Dongarra and David W. Walker", title = "Software Libraries for Linear Algebra Computations on High Performance Computers", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "151--180", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65-04 (65F05 65Y05)", MRnumber = "96d:65004", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", URL = "http://epubs.siam.org/25458.htm", abstract = "This paper discusses the design of linear algebra libraries for high performance computers. Particular emphasis is placed on the development of scalable algorithms for multiple instruction multiple data (MIMD) distributed memory concurrent computers. A brief description of the EISPACK, LINPACK, and LAPACK libraries is given, followed by an outline of ScaLAPACK, which is a distributed memory version of LAPACK currently under development. The importance of block-partitioned algorithms in reducing the frequency of data movement between different levels of hierarchical memory is stressed. The use of such algorithms helps reduce the message startup costs on distributed memory concurrent computers. Other key ideas in our approach are the use of distributed versions of the Level 2 and Level 3 basic linear algebra subprograms (BLAS) as computational building blocks, and the use of basic linear algebra communication subprograms (BLACS) as communication building blocks. Together the distributed BLAS and the BLACS can be used to construct higher-level algorithms, and hide many details of the parallelism from the application developer. The block-cyclic data distribution is described and adopted as a good way of distributing block-partitioned matrices. Block-partitioned versions of the Cholesky and LU factorizations are presented, and optimization issues associated with the implementation of the LU factorization algorithm on distributed memory concurrent computers are discussed, together with its performance on the Intel Delta system. Finally, approaches to the design of library interfaces are reviewed.", acknowledgement = ack-nhfb, affiliation = "Univ of Tennessee", affiliationaddress = "Knoxville, TN, USA", classification = "721.1; 722.4; 723.1; 723.2; 921.1; 921.5; C4140 (Linear algebra); C6110B (Software engineering techniques); C6150N (Distributed systems software); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Basic linear algebra subprograms; Block cyclic data distribution; block-cyclic data distribution; block-partitioned algorithms; block-partitioned matrices; Cholesky factorizations; Computational methods; Computer architecture; Computer software; Data transfer; Distributed memory concurrent computers; distributed memory systems; Factorization; High performance computers; Intel Delta system; Interfaces (computer); library interfaces; Linear algebra; linear algebra; linear algebra computations; LU factorization; mathematics computing; Message startup costs; MIMD distributed memory concurrent computers; Multiple instruction multiple data; multiple instruction multiple data; Optimization; parallel processing; Parallel processing systems; Performance; scalable algorithms; ScaLAPACK; software libraries; Subroutines", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Hartl:1995:SMP, author = "Richard F. Hartl and Suresh P. Sethi and Raymond G. Vickson", title = "A Survey of the Maximum Principles for Optimal Control Problems with State Constraints", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "181--218", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "49K15 (49J15)", MRnumber = "96j:49019", MRreviewer = "Andrei V. Dmitruk", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", URL = "http://epubs.siam.org/23508.htm", abstract = "This paper gives a survey of the various forms of Pontryagin's maximum principle for optimal control problems with state variable inequality constraints. The relations between the different sets of optimality conditions arising in these forms are shown. Furthermore, the application of these maximum principle conditions is demonstrated by solving some illustrative examples.", acknowledgement = ack-nhfb, affiliation = "Otto-Von-Guericke-Universitat Magdeburg", affiliationaddress = "Magdeburg, Ger", classification = "731.1; 921.2; 921.5; C1310 (Control system analysis and synthesis methods); C1330 (Optimal control)", corpsource = "Fakultat fur Wirtschaftswissenschaft, Otto-Von-Guericke-Univ., Magdeburg, Germany", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Constraint theory; constraint theory; Control constraints; control constraints; control system analysis; Control theory; jump condition; Maximum principle; maximum principle; Mixed constraints; necessary condition; optimal control; Optimal control systems; Pontryagin maximum principle; state constraints; State constraints; State variable inequality constraints; sufficient condition; Variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Levi:1995:SIL, author = "Mark Levi and Warren Weckesser", title = "Stabilization of the Inverted Linearized Pendulum by High Frequency Vibrations", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "219--223", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "70K20 (34C15 70Q05)", MRnumber = "96g:70027", MRreviewer = "A. Ya. Savchenko", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", URL = "http://epubs.siam.org/26260.htm", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1310 (Control system analysis and synthesis methods); C1320 (Stability in control theory); C1340K (Nonlinear control systems)", corpsource = "Dept. of Math. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "SIAM Review", keywords = "elliptic rotation; high frequency vibrations; hyperbolic rotation; inverted linearized pendulum; linear algebra; matrix algebra; nonlinear dynamical systems; pendulums; stability; stabilization; suspension; vibrations", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1995:FCM, author = "K. Veseli{\'c}", title = "Finite catenary and the method of {Lagrange}", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "224--229", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "70C20 (49-01 49S05)", MRnumber = "96d:70009", MRreviewer = "Ll. G. Chambers", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", URL = "http://epubs.siam.org/23998.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C1390 (Other topics in control theory)", corpsource = "Fernuniversitat, Hagen, Germany", fjournal = "SIAM Review", keywords = "constrained minimisation; constraint theory; finite catenary; gravity; Lagrange function; mechanical engineering; minimisation; optimisation; stable equilibrium", treatment = "T Theoretical or Mathematical", } @Article{Mathis:1995:NPA, author = "Frank H. Mathis and Lenora Jane Mathis", title = "A Nonlinear Programming Algorithm for Hospital Management", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "230--234", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C90", MRnumber = "1 343 214", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/2; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", URL = "http://epubs.siam.org/23719.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C1290L (Systems theory applications in biology and medicine); C7140 (Medical administration)", corpsource = "Dept. of Math., Baylor Univ., Waco, TX, USA", fjournal = "SIAM Review", keywords = "charge structure selection; elementary sorting; health care; hospital management; Kuhn--Tucker theory; management; medical administrative data processing; nonlinear programming; reimbursements", treatment = "T Theoretical or Mathematical", } @Article{Rousseau:1995:PS, author = "Cecil C. Rousseau and Otto G. Ruehr", title = "Problems and solutions", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "235--250", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", abstract = "This article presents several problems in applied mathematics. Such problems are motivated by questions from science and industry. The problems are first described, then the corresponding solutions are presented.", acknowledgement = ack-nhfb, affiliation = "Univ of Memphis", classification = "921.1; 921.2; 921.3; 921.6; 922.1", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Bessel functions; Boundary value problems; Differential equations; Eigenvalues and eigenfunctions; Euclidean distance; Fourier transforms; Integral equations; Integral transform; Integration; Joeplitz matrix; Matrix algebra; Multiple access adder channels; Number theory; Numerical analysis; Numerical methods; Polynomials; Problem solving; Random processes; Runge Kutta initial value problem; Vandermonde determinant", } @Article{Logan:1995:INP, author = "J. D. Logan and Karen Ames", title = "An Introduction to Nonlinear Partial Differential Equations", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "251--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Pryce:1995:NSS, author = "John D. Pryce and Alan L. Andrew", title = "Numerical Solution of {Sturm--Liouville} Problems", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "252--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Janacek:1995:TSF, author = "Gareth Janacek and Louise Swift and David F. Findley", title = "Time Series: Forecasting, Simulation, Applications", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "253--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Konopelchenko:1995:IMI, author = "B. G. Konopelchenko and J. D. Gibbon", title = "Introduction to Multidimensional Integrable Equations", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "257--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Grenander:1995:GPT, author = "U. Grenander and Daniel Keenan", title = "General Pattern Theory: {A} Mathematical Study of Regular Structures", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "258--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Janssen:1995:NSR, author = "A. Janssen and D. M. Mason and Jana Jureckova", title = "Non-Standard Rank Tests", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "261--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Davis:1995:MMO, author = "M. H. A. Davis and Suzanne Lenhart", title = "{Markov} Models and Optimization", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "262--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rodino:1995:LPD, author = "Luigi Rodino and Otto Liess", title = "Linear Partial Differential Operators in {Gevrey} Spaces", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "263--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Knupp:1995:FGG, author = "P. Knupp and S. Steinberg and C. Wayne Mastin", title = "Fundamentals of Grid Generation", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "264--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ghoussoub:1995:DPM, author = "N. Ghoussoub and Jean Mawhin", title = "Duality and Perturbation Methods in Critical Point Theory", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "265--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rude:1995:MCT, author = "U. Rude and Steve McCormick", title = "Mathematical Computational Techniques for Multilevel Adaptive Methods", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "266--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chow:1995:NFB, author = "Shee-Nee Chow and Chengzhi Li and Duo Wang and Kenneth R. Meyer", title = "Normal Forms and Bifurcation of Planar Vector Fields", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "269--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tartar:1995:MFC, author = "M. E. Tartar and M. D. Lock and Guy Nason", title = "Model-Free Curve Estimation", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "270--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Eberle:1995:NSE, author = "Albrecht Eberle and Arthur Rizzi and Ernst Heinrich Hirschel and Paul D. Orkwis", title = "Numerical Solutions of the {Euler} Equations for Steady Flow Problems", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "271--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kloeden:1995:NSS, author = "Peter E. Kloeden and Eckhard Platen and Matthias Gelbrich and Werner Romisch", title = "Numerical Solution of Stochastic Differential Equations", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "272--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{deBoor:1995:BS, author = "C. de Boor and K. Hollig and S. Riemenschneider and Amos Ron", title = "Box Splines", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "275--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sanz-Serna:1995:NHP, author = "J. M. Sanz-Serna and M. P. Calvo and Robert D. Skeel", title = "Numerical {Hamiltonian} Problems", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "277--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Chossat:1995:CTP, author = "Pascal Chossat and Gerard Iooss and Juergen Scheurle", title = "The {Couette--Taylor} Problem", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "279--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Strogatz:1995:NDC, author = "Steven H. Strogatz and Douglas S. Shafer", title = "Nonlinear Dynamics and Chaos: With Applications to Physics Biology, Chemistry, and Engineering", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "280--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Cox:1995:FSH, author = "Earl Cox and Rod Taber", title = "The Fuzzy Systems Handbook: {A} Practitioner's Guide to Building, Using, and Maintaining Fuzzy Systems", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "281--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:SCb, author = "Anonymous", title = "Selected Collections", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "282--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:LEa, author = "Anonymous", title = "Later Editions", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "286--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:Cb, author = "Anonymous", title = "Chronicle", journal = j-SIAM-REVIEW, volume = "37", number = "2", pages = "288--??", month = jun, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev372.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Kailath:1995:DST, author = "Thomas Kailath and Ali H. Sayed", title = "Displacement Structure: Theory and Applications", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "297--386", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "15A23 (30C15 30E05 47A57)", MRnumber = "96h:15015", MRreviewer = "K. B. Datta", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", URL = "http://epubs.siam.org/24648.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Rosenthal:1995:CRM, author = "Jeffrey S. Rosenthal", title = "Convergence Rates for {Markov} Chains", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "387--405", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "60J10 (60B15)", MRnumber = "96h:60108", MRreviewer = "James Allen Fill", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", URL = "http://epubs.siam.org/26674.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Boersma:1995:GSP, author = "J. Boersma and J. Molenaar", title = "Geometry of the Shoulder of a Packaging Machine", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "406--422", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "53A05 (65Y25)", MRnumber = "96k:53007", MRreviewer = "Hellmuth Stachel", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", URL = "http://epubs.siam.org/27080.htm", abstract = "The shoulder of a packaging machine is a developable surface that guides the packing material without stretching or tearing. The shoulder is traditionally manufactured by bending a flexible plate along a given bending curve, also without stretching or tearing. In this paper, the shoulder geometry is described mathematically by methods from classical differential geometry. For a given bending curve the generating lines of the (developable) shoulder surface are completely specified. It is shown that the bending curve can be chosen such that the resulting shoulder contains a planar triangle. The special case of a conical shoulder is also discussed, and the underlying bending curve is determined explicitly.", acknowledgement = ack-nhfb, affiliation = "Eindhoven Univ of Technology", affiliationaddress = "Eindhoven, Neth", classification = "601; 694.2; 694.3; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Bending (forming); Cone; Conformal mapping; Developable surface; Geometry; Isometric mapping; Machine design; Mathematical techniques; Packaging machines; Packaging materials; Planar triangle; Plates (structural components); Shoulder", } @Article{Alessandrini:1995:MEN, author = "Stephen M. Alessandrini", title = "A Motivational Example for the Numerical Solution of Two-Point Boundary-Value Problems", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "423--427", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65L10 (34A45)", MRnumber = "96g:65071", MRreviewer = "I. Norman Katz", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", URL = "http://epubs.siam.org/27318.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Ortner:1995:SCW, author = "Norbert Ortner and Peter Wagner", title = "Series, the Convergence of which should be Interpreted in the Sense of {L}. Schwartz's Distributions", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "428--435", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "33Cxx (40G10 42B05 46F10)", MRnumber = "1 355 510", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", URL = "http://epubs.siam.org/27304.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Sahay:1995:SHR, author = "Pratap N. Sahay", title = "Spherical Harmonics Representation of an Inhomogeneous Plane Wave", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "436--438", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35C10", MRnumber = "1 355 511", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "http://epubs.siam.org/toc/siread/37/3; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", URL = "http://epubs.siam.org/27320.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:PSc, author = "Anonymous", title = "Problems and Solutions", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "439--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hjorth:1995:CIS, author = "J. S. Urban Hjorth and R. J. Beran", title = "Computer Intensive Statistical Methods", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "459--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mickens:1995:NFD, author = "Ronald E. Mickens and Ravi P. Agarwal", title = "Nonstandard Finite Difference Models of Differential Equations", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "459--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Hoschek:1995:CAG, author = "Josef Hoschek and Dieter Lasser and Len Bos", title = "Computer Aided Geometric Design", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "460--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{deMelo:1995:ODD, author = "W. de Melo and S. van Strien and K. M. Brucks", title = "One-dimensional Dynamics", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "461--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Dunn:1995:MCL, author = "G. Dunn and B. Everitt and A. Pickles and Wai Chan", title = "Modelling Covariances and Latent Variables Using {EQS}", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "462--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Lavine:1995:UI, author = "Shaughan Lavine and Frederick Gass", title = "Understanding the Infinite", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "464--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Axelsson:1995:ISM, author = "Owe Axelsson and Martin Hanke", title = "Iterative Solution Methods", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "466--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Besseling:1995:MMI, author = "J. F. Besseling and E. van der Giessen and K. S. Havner", title = "Mathematical Modelling of Inelastic Deformation", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "467--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Butkovskiy:1995:CDP, author = "A. G. Butkovskiy and L. M. Pustyl'nikov and Alan Jeffrey", title = "Characteristics of Distributed Parameter Systems", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "468--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Renardy:1995:IPD, author = "M. Renardy and R. C. Rogers and Philip Korman", title = "An Introduction to Partial Differential Equations", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "469--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Weiss:1995:AAR, author = "G. H. Weiss and Gregory F. Lawler", title = "Aspects and Applications of the Random Walk", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "470--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Vishik:1995:ABS, author = "M. I. Vishik and Alexander Mielke", title = "Asymptotic Behaviour of Solutions of Evolutionary Equations", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "471--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Brenner:1995:MTF, author = "Susanne C. Brenner and L. Ridgway Scott and Joseph E. Pasciak", title = "The Mathematical Theory of Finite Element Methods", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "472--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Wiggins:1995:NHI, author = "Stephen Wiggins and Kenneth J. Palmer", title = "Normally Hyperbolic Invariant Manifolds in Dynamical Systems", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "472--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Boehm:1995:GCG, author = "W. Boehm and H. Prautzsch and Jorg Peters", title = "Geometric Concepts for Geometric Design", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "473--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Glasserman:1995:MSD, author = "P. Glasserman and D. D. Yao and Alexander Shapiro", title = "Monotone Structure in Discrete-Event Systems", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "474--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Tuckey:1995:NMC, author = "Curtis Tuckey and Peter A. Loeb", title = "Nonstandard Methods in the Calculus of Variations", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "474--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Andersen:1995:SMB, author = "P. K. Andersen and O. Borgan and R. D. Gill and N. Keiding and Ian W. McKeague", title = "Statistical Models Based on Counting Processes", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "475--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Bensoussan:1995:RCI, author = "A. Bensoussan and G. {Da Prato} and M. Delfour and S. Mitter and D. L. Russell", title = "Representation and Control of Infinite Dimensional Systems, Vols. 1 and 2", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "476--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Shaked:1995:SOT, author = "Moshe Shaked and J. George Shanthikumar and Y. L. Tong", title = "Stochastic Orders and their Applications", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "477--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Boyd:1995:LMI, author = "S. Boyd and L. E. Ghaoui and E. Feron and V. Balakrishnan and V. A. Yakubovich", title = "Linear Matrix Inequalities in System and Control Theory", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "479--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Mishra:1995:AA, author = "B. Mishra and Franz Winkler", title = "Algorithmic Algebra", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "479--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:SCc, author = "Anonymous", title = "Selected Collections", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "481--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:LEb, author = "Anonymous", title = "Later Editions", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "484--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Anonymous:1995:Cc, author = "Anonymous", title = "Chronicle", journal = j-SIAM-REVIEW, volume = "37", number = "3", pages = "486--??", month = sep, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Tue May 13 16:55:17 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev373.htm", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Horgan:1995:KIT, author = "C. O. Horgan", title = "{Korn}'s Inequalities and Their Applications in Continuum Mechanics", journal = j-SIAM-REVIEW, volume = "37", number = "4", pages = "491--511", month = dec, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "73C02 (35Q72 76D05)", MRnumber = "96h:73014", bibdate = "Fri Oct 27 15:27:20 2000", bibsource = "Compendex database; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev374.htm", abstract = "Korn's inequalities have played a central role in the development of linear elasticity, not only in connection with the basic theoretical issues such as existence and uniqueness, but also in a variety of applications. The Korn inequalities, and other related inequalities for integrals of quadratic functionals, also arise in the analysis of viscous incompressible fluid flow. The dimensionless optimal constants appearing in these inequalities, the Korn constants, depend only on the shape of the domains of concern. Information on the geometric dependence of these constants is essential in applications. In this review article, we summarize the major results on Korn's inequalities for bounded domains in two and three dimensions, with emphasis on results concerning the Korn constants. Some applications in continuum mechanics are also described.", acknowledgement = ack-nhfb, affiliation = "Univ of Virginia", affiliationaddress = "Charlottesville, VA, USA", classification = "631.1; 723.5; 921.2; 921.6; 931.1; 931.2", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Boundary element method; Computational fluid dynamics; Computational geometry; Continuum mechanics; Elasticity; Integral equations; Integrals of quadratic functionals; Korn constants; Korn inequalities; Numerical analysis; Optimal constants; Optimization; Three dimensional; Two dimensional; Variational techniques; Viscous flow; Viscous incompressible fluid flow", } @Article{Chu:1995:ROR, author = "Moody T. Chu and Robert E. Funderlic and Gene H. Golub", title = "A Rank-One Reduction Formula and Its Applications to Matrix Factorizations", journal = j-SIAM-REVIEW, volume = "37", number = "4", pages = "512--530", month = dec, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "15A21 (15A23 65F30)", MRnumber = "96j:15007", MRreviewer = "George D. Poole", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev374.htm", URL = "http://epubs.siam.org/27264.htm", abstract = "Let $A \in R\+m\times n$ denote an arbitrary matrix. If $x \in R^n$ and $y \in R^m$ are vectors such that $\omega = y^T Ax \DNEQ 0$, then the matrix $B:= A - \omega\+-1\/ Axy^T A$ has rank exactly one less than the rank of $A$. This Wedderburn rank-one reduction formula is easy to prove, yet the idea is so powerful that perhaps all matrix factorizations can be derived from it. The formula also appears in places such as the positive definite secant updates BFGS and DFP as well as the ABS methods. By repeatedly applying the formula to reduce ranks, a biconjugation process analogous to the Gram--Schmidt process with oblique projections can be developed. This process provides a mechanism for constructing factorizations such as $LDM^T$, $QR$, and SVD under a common framework of a general biconjugate decomposition $V^T AU = \Omega$ that is diagonal and nonsingular. Two characterizations of biconjugation provide new insight into the Lanczos method and its breakdown. One characterization shows that the Lanczos algorithm (and the conjugate gradient method) is a special case of the rank-one process; in fact, these processes can be identified with the class of biconjugate direction methods so that history is pushed back by about twenty years.", acknowledgement = ack-nhfb, affiliation = "North Carolina State Univ", affiliationaddress = "Raleigh, NC, USA", classification = "921.1; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algorithms; Conjugate directions; Conjugate gradient method; Convergence of numerical methods; Gram--Schmidt process; Lanczos method; Linear algebra; lu factorization; Matrix algebra; Matrix decomposition; Matrix factorization; Numerical analysis; Numerical methods; Outer product expansion; qr factorization; Vectors; Wedderburn rank one reduction", } @Article{Ypma:1995:HDN, author = "Tjalling J. Ypma", title = "Historical Development of the {Newton--Raphson} Method", journal = j-SIAM-REVIEW, volume = "37", number = "4", pages = "531--551", month = dec, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "01A05 (65-03)", MRnumber = "97b:01003", MRreviewer = "M. Z. Nashed", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/37/4; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev374.htm", URL = "http://epubs.siam.org/23425.htm; http://link.aip.org/link/?SIR/37/531/1", abstract = "This expository paper traces the development of the Newton--Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first to give a general formulation, in terms of fluxional calculus, applicable to nonpolynomial equations. Simpson's extension of the method to systems of equations is exhibited.", acknowledgement = ack-nhfb, affiliation = "Western Washington Univ", affiliationaddress = "Bellingham, WA, USA", classification = "921.1; 921.2; 921.6", fjournal = "SIAM Review", journalabr = "SIAM Rev", keywords = "Algebra; Algorithms; Approximation theory; Differentiation (calculus); Finite difference method; Fluxional calculus; Isaac Newton; Iterative methods; Joseph Raphson; Linearization; Newton--Raphson method; Nonlinear algebraic equations; Nonlinear equations; Nonpolynomial equation; Polynomials; Secant method; Thomas Simpson", } @Article{Jerome:1995:APD, author = "Joseph W. Jerome", title = "The Approximation Problem for Drift-Diffusion Systems", journal = j-SIAM-REVIEW, volume = "37", number = "4", pages = "552--572", month = dec, year = "1995", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "35J65 (47H17 65N30)", MRnumber = "96h:35064", bibdate = "Fri Dec 4 21:36:27 MST 1998", bibsource = "