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

Tetsuo Nishi, Siegfried Rump, Shin'Ichi Oishi

Research output: Chapter in Book/Report/Conference proceedingConference 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 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.

Original languageEnglish
Title of host publication2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings
Publication statusPublished - 2013 Dec 1
Event2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Dresden, Germany
Duration: 2013 Sep 82013 Sep 12

Publication series

Name2013 European Conference on Circuit Theory and Design, ECCTD 2013 - Proceedings

Conference

Conference2013 European Conference on Circuit Theory and Design, ECCTD 2013
CountryGermany
CityDresden
Period13/9/813/9/12

ASJC Scopus subject areas

  • Hardware and Architecture

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    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).