ON THE GROUP INVERSE FOR THE SUM OF MATRICES

被引：3

作者：

Bu, Changjiang ^{[1
]}

Zhou, Xiuqing ^{[1
]}

Ma, Liang ^{[1
]}

Zhou, Jiang ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Sci, Harbin 150001, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2014年 / 96卷 / 01期

基金：

美国国家科学基金会;

关键词：

group inverse; group invertibility; skew field; BLOCK MATRICES; DRAZIN-INVERSES; SKEW FIELDS;

D O I：

10.1017/S144678871300061X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K-mxn denote the set of all m x n matrices over a skew field K. In this paper, we give a necessary and sufficient condition for the existence of the group inverse of P + Q and its representation under the condition PQ = 0, where P, Q is an element of K-nxn. In addition, in view of the natural characters of block matrices, we give the existence and representation for the group inverse of P + Q and P + Q + R under some conditions, where P, Q, R is an element of K-nxn.

引用

页码：36 / 43

页数：8

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