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.
引用
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页码：1 / 8
页数：8
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