The Drazin inverse of the sum of two matrices and its applications

被引：68

作者：

Yang, Hu ^{[1
]}

Liu, Xifu ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 05期

关键词：

Index; Drazin inverse; Partitioned matrix; Generalized Schur complement; PERTURBATION; REPRESENTATIONS;

D O I：

10.1016/j.cam.2010.08.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a representation of (P + Q)(D) such that PQP = 0, PQ(2) = 0 is given, which recovers the case PQ = 0 studied by Hartwig et al. [R.E. Hartwig, G. Wang, Y. Wei, Some additive results on Drazin inverse, Linear Algebra Appl., 322(2001)207-217]. Furthermore, we apply our results to establish the representations for the Drazin inverses of a 2 x 2 partitioned matrix M = (A B C D), where A and D are square matrices. Finally, two numerical examples are given to illustrate our results. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1412 / 1417

页数：6

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