ABOUT THE GROUP INVERSE AND MOORE-PENROSE INVERSE OF A PRODUCT

被引：32

作者：

GOUVEIA, MC ^{[1
]}

PUYSTJENS, R ^{[1
]}

机构：

[1] STATE UNIV GHENT,SEMINARIE ALGEBRA FUNCTIONAALANAL,B-9000 GHENT,BELGIUM

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1991年 / 150卷

关键词：

D O I：

10.1016/0024-3795(91)90180-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a matrix over a ring. Suppose that P, Q, P', and Q' are matrices over the ring such that P'PA = A = AQQ'. If A has group inverse A#, then PAQ has a group inverse iff AA#QPA + 1 - AA# is invertible. An analogous result for Moore-Penrose inverses is also given.

引用

页码：361 / 369

页数：9