Title :
A consideration on the condition number of extremely ill-conditioned matrices
Author :
Nishi, Tomoki ; Rump, Siegfried ; Oishi, Shuji
Author_Institution :
Sch. of Sci. & Eng., Waseda Univ., Tokyo, Japan
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 AAT, 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.
Keywords :
polynomial matrices; Cond2(A) lower bound; Cond2(A) upper bound; characteristic polynomial; extremely ill-conditioned matrix condition number; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; Linear matrix inequalities; Polynomials; Reliability engineering; Upper bound;
Conference_Titel :
Circuit Theory and Design (ECCTD), 2013 European Conference on
Conference_Location :
Dresden
DOI :
10.1109/ECCTD.2013.6662260
