Generalized Drazin inverses of anti-triangular block matrices

被引：34
|
作者：
Deng, Chun Yuan [1 ]
机构：
[1] S China Normal Univ, Coll Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 368卷 / 01期
关键词：
Drazin inverse; Additive result; Schur complement; Block matrix; REPRESENTATIONS; INDEX;
D O I：
10.1016/j.jmaa.2010.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give formulae for the generalized Drazin inverse M-d of an anti-triangular matrix M = ((A)(C) (B)(0)) in two different ways: one is to express M-d in terms of A(d) with arbitrary B and C. the other is to express M-d in terms of B-d and C-d with arbitrary A. Moreover, the results are applied to obtain generalized Drazin inverses of various structured matrices and some special cases are analyzed. (C) 2010 Elsevier Inc. All rights reserved.
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页码：1 / 8
页数：8
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