Condition numbers and structured perturbation of the W-weighted Drazin inverse

被引：9

作者：

Lei, TG

Wei, YM ^{[1
]}

Woo, CW

机构：

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

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

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 165卷 / 01期

基金：

中国国家自然科学基金;

关键词：

condition number; W-weighted Drazin inverse; perturbation;

D O I：

10.1016/j.amc.2004.04.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give the explicit condition number formulas for the W-weighted Drazin inverse of a rectangular matrix. We also present the structured perturbation of the W-weighted Drazin inverse, and consider the perturbation for the W-weighted Drazin inverse of a rectangular matrix and give an explicit expression for the W-weighted Drazin inverse of a perturbed matrix under some certain conditions. Finally, we discuss the minimum quality of the condition number. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：185 / 194

页数：10

共 13 条

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