Explicit representations of the Drazin inverse of block matrix and modified matrix

被引：29

作者：

Cvetkovic-Ilic, Dragana S. ^{[2
]}

Chen, Jianbiao ^{[1
]}

Xu, Zhaoliang ^{[1
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 200135, Peoples R China

[2] Univ Nis, Fac Math & Sci, Nish 18000, Serbia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2009年 / 57卷 / 04期

关键词：

Drazin inverse; modified matrix; index; block matrix;

D O I：

10.1080/03081080701772830

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new result on the Drazin inverse of 2 x 2 block matrix MA[AD BC] where A and C are square matrices are presented. extended in the case when D=O. the well-known representation for the Drazin inverse of M, given by Hartwig, Meyer and Rose in 1977, respectively, Using that new result, an explicit representation for the Drazin inverse of a modified matrix P+RS and its generalized matrix PQ + RS are also presented.

引用

页码：355 / 364

页数：10

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