Rank equalities related to the generalized inverse AT,S(2) with applications

被引：6

作者：

Wang, Qing-Wen ^{[1
]}

Song, Guang-Jing ^{[1
]}

Lin, Chun-Yan ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Shandong Finance Univ, Sch Stat & Sci, Jinan 250014, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 205卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Rank; Linear matrix expression; Moore-Penrose inverse; Drazin inverse; Weighted Moore-Penrose inverse; Block matrix;

D O I：

10.1016/j.amc.2008.08.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variety of rank formulas of some matrix expressions and certain partitioned matrices with respect to the generalized inverse A(T,S)((2)) are established. Some necessary and sufficient conditions are given by using the rank formulas presented in this paper for two, three and four ordered matrices to be independent in the generalized inverse Ad(T,S)((2)). As special cases, necessary and sufficient conditions are derived for two, three and four ordered matrices to be independent in the weighted Moore-Penrose inverse and the Drazin inverse. Some known results can be regarded as the special cases of the results in this paper. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：370 / 382

页数：13

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