A note on additive results for the Drazin inverse

被引：30

作者：

Wei, Yi-min ^{[1
,2
]}

Deng, Chun-yuan ^{[3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[3] S China Normal Univ, Coll Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2011年 / 59卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Drazin inverse; additive result; commutativity; eigenvalue; PERTURBATION BOUNDS; EIGENVALUES; MATRIX; REPRESENTATIONS; OPERATORS; SUM;

D O I：

10.1080/03081087.2010.496110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For two square matrices that commute, we present some additive results for the Drazin inverse. We also give the application to relative perturbation of eigenvalues when the perturbed matrix commutes with the original matrix and perturbation bounds of the Drazin inverse.

引用

页码：1319 / 1329

页数：11