Reverse order laws for generalized inverses of multiple matrix products

被引：32
|
作者：
Wei, MS [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 293卷 / 1-3期
关键词：
g-inverse; reflexive g-inverse; product of multiple matrices; multiple product singular value decomposition;
D O I：
10.1016/S0024-3795(99)00053-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study reverse order laws for generalized inverses and reflexive generalized inverses of the products of multiple matrices A((l)), ..., A((n)) and the products of generalized inverses and reflexive generalized inverses of A((n)), ..., A((l)). By applying the multiple product singular value decomposition, we obtain necessary and sufficient conditions for one side inclusion relation of reverse order law for generalized inverses, and necessary and sufficient conditions of reverse order law for reflexive generalized inverses. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：273 / 288
页数：16
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