A consideration on the condition number of extremely ill-conditioned matrices

Tetsuo Nishi; Siegfried Rump; Shin'Ichi Oishi

A consideration on the condition number of extremely ill-conditioned matrices

Tetsuo Nishi, Siegfried Rump, Shin'Ichi Oishi

School of Fundamental Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

As for a matrix A we examine two problems: (a) To find the upper and the lower bound of Cond₂(A) in terms of two coefficients p₁ and p_n-1 (see Section 2) of the characteristic polynomial of AA ^T, and (b) proof of existence of a matrix A having considerably larger condition number than that obtained in the previous papers. The connection between (a) and (b) is illustrated.

Original language	English
Title of host publication	2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings
Publication status	Published - 2013 Dec 1
Event	2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Dresden, Germany Duration: 2013 Sept 8 → 2013 Sept 12

Publication series

Name	2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings

Conference

Conference	2013 European Conference on Circuit Theory and Design, ECCTD 2013
Country/Territory	Germany
City	Dresden
Period	13/9/8 → 13/9/12

ASJC Scopus subject areas

Hardware and Architecture

Cite this

A consideration on the condition number of extremely ill-conditioned matrices. / Nishi, Tetsuo; Rump, Siegfried; Oishi, Shin'Ichi.

2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings. 2013. 6662260 (2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nishi, T, Rump, S & Oishi, SI 2013, A consideration on the condition number of extremely ill-conditioned matrices. in 2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings., 6662260, 2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings, 2013 European Conference on Circuit Theory and Design, ECCTD 2013, Dresden, Germany, 13/9/8.

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AU - Rump, Siegfried

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N2 - As for a matrix A we examine two problems: (a) To find the upper and the lower bound of Cond2(A) in terms of two coefficients p1 and pn-1 (see Section 2) of the characteristic polynomial of AA T, and (b) proof of existence of a matrix A having considerably larger condition number than that obtained in the previous papers. The connection between (a) and (b) is illustrated.

AB - As for a matrix A we examine two problems: (a) To find the upper and the lower bound of Cond2(A) in terms of two coefficients p1 and pn-1 (see Section 2) of the characteristic polynomial of AA T, and (b) proof of existence of a matrix A having considerably larger condition number than that obtained in the previous papers. The connection between (a) and (b) is illustrated.

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Y2 - 8 September 2013 through 12 September 2013

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A consideration on the condition number of extremely ill-conditioned matrices

Abstract

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Conference

ASJC Scopus subject areas

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