Further Results on the Generalized Drazin Inverse of Block Matrices in Banach Algebras

被引：8

作者：

Kolundzija, Milica Z. ^{[1
]}

Mosic, Dijana ^{[1
]}

Djordjevic, Dragan S. ^{[1
]}

机构：

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 02期

关键词：

Generalized Drazin inverse; Schur complement; Block matrix; PARTITIONED MATRICES; REPRESENTATIONS;

D O I：

10.1007/s40840-014-0032-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The objective of this paper is to derive formulae for the generalized Drazin inverse of a block matrix in a Banach algebra under different conditions. Let relative to the idempotent and be generalized Drazin invertible. The formulae for the generalized Drazin inverse are obtained under the more general case that the generalized Schur complement is generalized Drazin invertible, which covers the cases that is Drazin invertible, is group invertible, or is equal to zero. Thus, recent results on the Drazin inverse of block matrices and block-operator matrices are extended to a more general setting.

引用

页码：483 / 498

页数：16

共 25 条

[1]

[Anonymous], 1979, Generalized inverses of linear transformations

[2] Generalized inverses of partitioned matrices in Banachiewicz-Schur form [J].