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

被引：28
|
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
收藏
页码：355 / 364
页数：10
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