A note on simple nonzero finite generalized singular values

Ma, Wei
Bai, Zheng-Jian
白正简

Open link

DOI

10.1016/j.laa.2012.12.035

Publisher

ELSEVIER SCIENCE INC

ISSN

0024-3795

Abstract

National Natural Science Foundation of China [11271308]; Natural Science Foundation of Fujian Province of China for Distinguished Young Scholars [2010J06002]; NCETIn this paper, we study the sensitivity and second order perturbation expansions of simple nonzero finite generalized singular values of a complex matrix pair, which is analytically dependent on several parameters. Our results generalize the perturbation analysis given by Sun (1988) [20] for simple nonzero singular values. (C) 2013 Elsevier Inc. All rights reserved