A note on the Drazin inverse of an anti-triangular matrix

被引：70
|
作者：
Deng, Chunyuan [2 ]
Wei, Yimin [1 ,3 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[3] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Generalized Drazin inverse; Anti-triangular matrix; Block matrix; SINGULAR LINEAR-SYSTEMS; KRYLOV SUBSPACE METHODS; REPRESENTATIONS; PRECONDITIONERS; EQUATIONS;
D O I：
10.1016/j.laa.2009.06.030
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 under some conditions. Moreover, some particular cases of these results are also considered. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：1910 / 1922
页数：13
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