On linear combinations of generalized involutive matrices

被引：7
|
作者：
Liu, Xiaoji [2 ]
Wu, Lingling [2 ]
Benitez, Julio [1 ]
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia 46022, Spain
[2] Guangxi Univ Nationalities, Coll Math & Comp Sci, Nanning 530006, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2011年 / 59卷 / 11期
关键词：
generalized involutive matrices; CS decomposition; EP matrices; HYPERGENERALIZED PROJECTORS; CS DECOMPOSITION;
D O I：
10.1080/03081087.2010.496111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations when (aA + bB)(dagger) = aA + bB provided a, b is an element of C\{0} and A, B are n x n complex matrices such that A(dagger) = A and B(dagger) = B.
引用
收藏
页码：1221 / 1236
页数：16
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