Presentation	2013-03-14 A consideration on the generation of extremely ill-conditioned matrices Tetsuo NISHI, Siegfried M. RUMP, Shin'ichi OISHI,
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Abstract(in English)	We investigate the upper bound of the condition number of an integer matrix A=[a_]with |a_|≦μ. Concerning this problem the absolute upper bound was given by Guggenheimer et al. However it is not known whether this upper bound is really attainable or not. In this paper we exainine two problems; (i)the relation among two coefficients P_1 and P_ of the characteristic polynomial of AA^T and the upper bound of the condition number of A. and (ii)the attainable maximum condition number by very small matrices.
Keyword(in Japanese)	(See Japanese page)
Keyword(in English)	extremely ill-conditioned integer matrix / upper bound of condition number / Hadamard matrix / Hadamard's inequality
Paper #	NLP2012-149
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Committee	NLP
Conference Date	2013/3/7(1days)
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Registration To	Nonlinear Problems (NLP)
Language	ENG
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	A consideration on the generation of extremely ill-conditioned matrices
Sub Title (in English)
Keyword(1)	extremely ill-conditioned integer matrix
Keyword(2)	upper bound of condition number
Keyword(3)	Hadamard matrix
Keyword(4)	Hadamard's inequality
1st Author's Name	Tetsuo NISHI
1st Author's Affiliation	School of Science and Engineering, Waseda University()
2nd Author's Name	Siegfried 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	2013-03-14
Paper #	NLP2012-149
Volume (vol)	vol.112
Number (no)	487
Page	pp.pp.-
#Pages	6
Date of Issue