The weighted generalized inverses of a partitioned

被引：8

作者：

Wang, GR ^{[1
]}

Zheng, B

机构：

[1] Shanghai Normal Univ, Sch Math Sci, Shanghai 200234, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200436, Peoples R China

[3] Lanzhou Univ, Lanzhou 730000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 155卷 / 01期

关键词：

weighted generalized inverses; Moore-Penrose inverse; partitioned matrices; unified form;

D O I：

10.1016/s0096-3003(03)00772-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A constructive proof for the recursive representation of the weighted Moore-Penrose inverse of a partitioned matrix A = (U V) is given. Using the same thread of reasoning, similar results for A((1,3M)) and A((1,4N)) are derived. And all of these results can be represented by an unified form. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：221 / 233

页数：13

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