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

Publikationstyp
Conference Paper
Date Issued
2013
Sprache
English
Author(s)
Nishi, Tetsuo  
Rump, Siegfried M.  orcid-logo
Oishi, Shin’ichi  
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/6046
Article Number
6662260
Citation
2013 European Conference on Circuit Theory and Design (ECCTD) : 8 - 12 Sept. 2013, Dresden, Germany / [sponsors: Technische Universität Dresden, Fakultät Elektrotechnik und Informationstechnik ...]. - Piscataway, NJ : IEEE, 2013. - Art.-Nr. 6662260
Contribution to Conference
2013 European Conference on Circuit Theory and Design, ECCTD 2013  
Publisher DOI
10.1109/ECCTD.2013.6662260
Scopus ID
2-s2.0-84892651689
Publisher
IEEE
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. © 2013 TU Dresden.
DDC Class
600: Technik
620: Ingenieurwissenschaften