文献类型：期刊文献

英文题名：Perturbation analysis of the generalized Sylvester equation and the generalized Lyapunov equation

作者：Tang, Yaoping[2];Bao, Liang[1];Lin, Yiqin[2]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425100, Peoples R China

年份：2011

卷号：88

期号：2

起止页码：408

外文期刊名：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

收录：;EI(收录号：20131816267885);WOS:【SCI-EXPANDED(收录号:WOS:000286514900015)】；

基金：The authors would like to thank the anonymous referees for their helpful suggestions, which greatly improved the paper. The work is supported by the National Natural Science Foundation of China under grant 10801048 and the Natural Science Foundation of Hunan Province under grant 09JJ6014.

语种：英文

外文关键词：perturbation analysis; condition number; linear asymptotic bound; generalized Sylvester equation; generalized Lyapunov equation

摘要：This paper is devoted to the perturbation analysis for the generalized Sylvester equation and the generalized Lyapunov equation. The explicit expressions and upper bounds of normwise, mixed and componentwise condition numbers for these equations are presented. The results are illustrated by numerical examples.