A note on the perturbation of the W-weighted Drazin inverse

被引：21

作者：

Wei, YM ^{[1
]}

Woo, CW

Lei, TG

机构：

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

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Natl Nat Sci Fdn China, Dept Math & Phys Sci, Beijing 100085, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 149卷 / 02期

基金：

中国国家自然科学基金;

关键词：

perturbation; W-weighted Drazin inverse; generalized Jordan canonical form;

D O I：

10.1016/S0096-3003(03)00150-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The perturbation bound is presented for the W-weighted Drazin inverse for a rectangular matrix under the weaker condition. The application to the singular linear equations is also given in this note. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：423 / 430

页数：8

共 12 条

[1] [Anonymous], 2002, APPL ANAL
[2] Campbell SL., 1991, Generalized inverse of linear transformations, Pitman, London (1979)
[3] CHEN X, 1992, J E CHINA NORM U NAT, V3, P20
[4] A DRAZIN INVERSE FOR RECTANGULAR MATRICES
CLINE, RE
GREVILLE, TNE
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1980, 29 (FEB) : 53 - 62
[5] A weighted Drazin inverse and applications
Rakocevic, V
Wei, YM
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 350 : 25 - 39
[6] The perturbation theory for the Drazin inverse and its applications II
Rakocevic, V
Wei, YM
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 2001, 70 : 189 - 197
[7] WANG G, 1997, J SHANGHAI TEACHERS, V26, P9
[8] Challenging problems on the perturbation of Drazin inverse
Wei, YM
Wu, HB
[J]. ANNALS OF OPERATIONS RESEARCH, 2001, 103 (1-4) : 371 - 378
[9] Wei YM, 1997, LINEAR ALGEBRA APPL, V258, P179
[10] A characterization for the W-weighted Drazin inverse and a Cramer rule for the W-weighted Drazin inverse solution
Wei, YM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 125 (2-3) : 303 - 310

← 1 2 →