Some results on the generalized Drazin inverse of operator matrices

被引：30

作者：

Deng, Chunyuan ^{[2
]}

Cvetkovic-Ilic, Dragana S. ^{[3
]}

Wei, Yimin ^{[1
,4
]}

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] Univ Nis, Dept Math, Fac Sci & Math, Nish 18000, Serbia

[4] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2010年 / 58卷 / 04期

基金：

中国国家自然科学基金;

关键词：

generalized Drazin inverse; Schur complement; block matrix; REPRESENTATIONS; CONTINUITY; INDEX;

D O I：

10.1080/03081080902722642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The generalized Drazin inverse M-d of a 2 x 2 operator matrix [GRAPHICS] is considered, where A is an element of B(X) and D is an element of B(Y) are generalized Drazin invertible. Expressions for the generalized Drazin inverse M-d of operator matrix M in terms of the individual blocks A, B, C, D, A(d) and D-d are derived under some conditions.

引用

页码：503 / 521

页数：19

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