Explicit Formulae for the Generalized Drazin Inverse of Block Matrices over a Banach Algebra

被引：25

作者：

Zhang, Daochang ^{[1
]}

Mosic, Dijana ^{[2
]}

机构：

[1] Northeast Elect Power Univ, Coll Sci, Jilin, Jilin, Peoples R China

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

来源：

FILOMAT | 2018年 / 32卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Generalized Drazin inverse; block matrix; Banach algebra; PERTURBATION BOUNDS; OPERATORS; INDEX; SUM;

D O I：

10.2298/FIL1817907Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give expressions for the generalized Drazin inverse of a (2,2,0) block matrix over a Banach algebra under certain circumstances, utilizing which we derive the generalized Drazin inverse of a 2 x 2 block matrix in a Banach algebra under weaker restrictions. Our results generalize and unify several results in the literature.

引用

页码：5907 / 5917

页数：11

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