Title
A consideration on the condition number of extremely ill-conditioned matrices
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.
Year
DOI
Venue
2013
10.1109/ECCTD.2013.6662260
Circuit Theory and Design
Keywords
Field
DocType
polynomial matrices,Cond2(A) lower bound,Cond2(A) upper bound,characteristic polynomial,extremely ill-conditioned matrix condition number
Characteristic polynomial,Discrete mathematics,Condition number,Matrix analysis,Polynomial matrix,Matrix (mathematics),Upper and lower bounds,Matrix polynomial,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Tetsuo Nishi110315.66
Siegfried M. Rump2774102.83
Shin'ichi Oishi328037.14