Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero

被引：0

作者：

González, NC

Koliha, JJ

Wei, YM

机构：

[1] Univ Politecn Madrid, Fac Informat, Dept Matemat Aplicada, E-28660 Madrid, Spain

[2] Univ Melbourne, Dept Math & Stat, Melbourne, Vic, Australia

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 312卷 / 1-3期

关键词：

eigenprojection; Drazin inverse; perturbation bounds; EP matrices;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A(pi) denote the eigenprojection of a matrix A corresponding to the eigenvalue 0. We characterize matrices B such that B-pi = A(pi) ,and derive from the results: (1) error bounds for the Drazin inverse of a perturbation, (2) improvement of error bounds given recently by Wei [10], Wei and Wang [11] and Castro Gonzalez et al. [4], and (3) a new characterization of EP matrices. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：181 / 189

页数：9

共 11 条

[1]

CAMPBELL S. L., 1979, Generalized inverses of linear transformations

[2]

Campbell S.L, 1980, Linear and Multilinear Algebra, V8, P265

[3] CONTINUITY PROPERTIES OF DRAZIN PSEUDOINVERSE [J].