Representations for the Drazin inverse of 2 x 2 block-operator matrix with singular Schur complement

被引：30
作者：
Deng, Chunyuan [3 ]
Wei, Yimin [1 ,2 ]
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, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Drazin inverse; Group inverse; Schur complement; QUOTIENT IDENTITY; BOUNDED OPERATORS; PERTURBATION; INDEX; SUM;
D O I：
10.1016/j.laa.2011.04.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present formulae for the Drazin inverse of 2 x 2 block-operator matrix with generalized Schur complement being Drazin invertible. Moreover, necessary and sufficient conditions for the existence as well as the expressions for the group inverse are obtained. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2766 / 2783
页数：18
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