Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz-Schur forms

被引：10
|
作者：
Mosic, Dijana [1 ]
Djordjevic, Dragan S. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 413卷 / 01期
关键词：
Generalized Drazin inverse; Schur complement; Banachiewicz-Schur form; Block matrix; PARTITIONED MATRICES;
D O I：
10.1016/j.jmaa.2013.11.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce new expressions for the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra under some conditions. We generalized some recent results for Drazin inverse and group inverse of complex matrices. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：114 / 120
页数：7
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