Group inverse for the block matrices with an invertible subblock

被引：52

作者：

Bu, Changjiang ^{[1
]}

Li, Min ^{[1
]}

Zhang, Kuize ^{[1
]}

Zheng, Lan ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 01期

关键词：

Skew field; Group inverse; Invertible subblock; {1}-Inverse; DRAZIN INVERSE; REPRESENTATIONS;

D O I：

10.1016/j.amc.2009.04.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M = ((A B)(C D)) (A is square) be a square block matrix with an invertible subblock over a skew field K. In this paper, we give the necessary and sufficient conditions for the existence as well as the expressions of the group inverse for M under some conditions. Published by Elsevier Inc.

引用

页码：132 / 139

页数：8

共 20 条

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