A note on the reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products

被引：0

作者：

Liu, Xifu ^{[1
]}

Yang, Hu ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2011年 / 22卷

关键词：

Reverse order law; Maximal and minimal ranks; Generalized inverse; Generalized Schur complement; GENERALIZED INVERSES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the equivalent conditions for the inclusions A(n){1,2,i}...A(2){1,2,i}A(1){1,2,i} subset of (A(1)A(2)...A(n)){1,2,i} (i = 3,4) presented in [B. Zheng and Z. Xiong. The reverse order laws for {1,2,3}- and {1,2,4}-inverses of multiple matrix products. Linear Multilinear Algebra, 58:765-782, 2010.], we show that for i is an element of {3,4}, A(n){1,2,i}...A(2){1,2,i}A(1){1,2,i} = (A(1)A(2)...A(n)){1,2,i} is equivalent to A(n){1,2,i}...A(2){1, 2,i}A(1){1,2,i} subset of (A(1)A(2)...A(n)){1,2,i}.

引用

页码：620 / 629

页数：10

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