Presentation	2010/6/14 CAS2010-3 Some properties and generation methods of integer matrices with large condition number Tetsuo NISHI, Siegflied M. RUMP, Shin'ichi OISHI,
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Abstract(in English)	We study about an ill-conditioned integer matrix A = [α_] with |α_| ≦ μ. Let n be the order of A. We first give some upper bounds of the condition number of A in terms of Σ_α^2_, μ and n. Next we point out some problems arising in the previous generation methods of extremely ill-conditioned matrices. Finally to solve the above problems we propose a desirable singular value distribution of ill-conditioned benchmark matrices and give partial solutions to them.
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Keyword(in English)	ill-conditioned integer matrix / condition number / verified numerical computation / singular value distribution
Paper #	CAS2010-3
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Committee	CAS
Conference Date	2010/6/14(1days)
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Registration To	Circuits and Systems (CAS)
Language	ENG
Title (in Japanese)	(See Japanese page)
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Title (in English)	CAS2010-3 Some properties and generation methods of integer matrices with large condition number
Sub Title (in English)
Keyword(1)	ill-conditioned integer matrix
Keyword(2)	condition number
Keyword(3)	verified numerical computation
Keyword(4)	singular value distribution
1st Author's Name	Tetsuo NISHI
1st Author's Affiliation	School of Science and Engineering, Waseda University()
2nd Author's Name	Siegflied M. RUMP
2nd Author's Affiliation	Hamburg University of Technology
3rd Author's Name	Shin'ichi OISHI
3rd Author's Affiliation	School of Science and Engineering, Waseda University
Date	2010/6/14
Paper #	CAS2010-3
Volume (vol)	vol.110
Number (no)	86
Page	pp.pp.-
#Pages	6
Date of Issue