Representations of the Moore-Penrose inverse for a class of 2-by-2 block operator valued partial matrices

被引：22
|
作者：
Deng, Chun Yuan [1 ]
Du, Hong Ke [2 ]
机构：
[1] S China Normal Univ, Coll Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2010年 / 58卷 / 01期
关键词：
positive operator; Moore-Penrose inverse; projection; GENERALIZED INVERSES; RANGE INCLUSION; A(T; S)((2));
D O I：
10.1080/03081080801980457
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain necessary and sufficient conditions for 2-by-2 block operator valued triangular matrices to be Moore-Penrose (MP) invertible and give new representations of such MP inverses in terms of the individual blocks.
引用
收藏
页码：15 / 26
页数：12
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