10 Feb 02:37
[Reliable Computing] New papers and books on interval arithmetic
This new paper should be of interest to list readers:
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@Article{Rump:2012:VBL,
author = "Siegfried M. Rump",
title = "Verified Bounds for Least Squares Problems and
Underdetermined Linear Systems",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "33",
number = "1",
pages = "130--148",
month = "????",
year = "2012",
CODEN = "SJMAEL",
DOI = "http://dx.doi.org/10.1137/110840248",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
bibdate = "Thu Feb 9 08:15:52 MST 2012",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/33/1;
http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/simax/resource/1/sjmael/v33/i1/p130_s1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Matrix Analysis and Applications",
keywords = "interval arithmetic",
onlinedate = "January 13, 2012",
}
In shorter form, here are pointers to some other recent (2011--date)
books and papers that I've recorded:
Warwick Tucker
Validated numerics: a short introduction to rigorous computations
ISBN 0-691-14781-7, 978-0-691-14781-9
Modern computer arithmeticRichard P. Brent and Paul Zimmermann
ISBN 0-521-19469-5, 978-0-521-19469-3
B. T{\'o}th and J. Fern{\'a}ndez
Interval methods for single and bi-objective optimization problems ---
applied to competitive facility location model
ISBN 3-8383-6624-7, 978-3-8383-6624-1
Katsuhisa Ozaki and Takeshi Ogita and Shin'ichi Oishi and Siegfried
M. Rump
Error-free transformations of matrix multiplication by using fast
routines of matrix multiplication and its applications
http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=59&issue=1&spage=95
Hung T. Nguyen and Vladik Kreinovich and Berlin Wu
Computing statistics under interval and fuzzy uncertainty:
applications to computer science and engineering
ISBN 3-642-24904-3, 978-3-642-24904-4
Michel Colman and Annie Cuyt and Joris {Van Deun}
Validated computation of certain hypergeometric functions
http://dx.doi.org/10.1145/2049673.2049675
Ulrich Kulisch and Van Snyder
The exact dot product as basic tool for long interval arithmetic
http://dx.doi.org/10.1007/s00607-010-0127-7
Ulrich Kulisch
Very fast and exact accumulation of products
http://dx.doi.org/10.1007/s00607-010-0131-y
Katsuhisa Ozaki and Takeshi Ogita and Shin'ichi Oishi and Siegfried
M. Rump
Error-free transformations of matrix multiplication by using fast
routines of matrix multiplication and its applications
http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=59&issue=1&spage=95
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