Block representations of the generalized Drazin inverse

被引：9

作者：

Mosic, Dijana ^{[1
]}

Djordjevic, Dragan S. ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 331卷

关键词：

Generalized Drazin inverse; Generalized Schur complement; Block matrix; BANACH-ALGEBRAS; SCHUR COMPLEMENT; 2; MATRICES; SUM;

D O I：

10.1016/j.amc.2018.03.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under specific conditions, we develop new formulae for the generalized Drazin inverse of a block matrix in Banach algebras. Also, we present necessary and sufficient conditions for the existence and the expression of the group inverse of a block matrix. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：200 / 209

页数：10

共 50 条

[1] A NOTE ON THE REPRESENTATIONS FOR THE GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES
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[J]. Acta Mathematica Scientia, 2015, (06) : 1483 - 1491
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