Further results on the representation of the Drazin inverse of a 2 x 2 block matrix

被引：35

作者：

Dopazo, E. ^{[1
]}

Martinez-Serrano, M. F. ^{[1
]}

机构：

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 08期

关键词：

Drazin inverse; Block matrix; Index; INDEX;

D O I：

10.1016/j.laa.2009.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish an explicit representation of the Drazin inverse of a 2 x 2 block matrix M = [GRAPHICS] , where A and D are square matrices, in terms of the Drazin inverses of A and D. First, we give a formula for the Drazin inverse of M with the blocks satisfying the conditions BC = 0. BDC = 0, and BD2 = 0. Further, we derive representations of the Drazin inverse of M under less restrictive conditions than those found in the current literature. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1896 / 1904

页数：9

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