About the von Neumann regularity of triangular block matrices

被引：25

作者：

Patrício, P

Puystjens, P

机构：

[1] Univ Minho, Ctr Matemat, P-4710257 Braga, Portugal

[2] State Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 332卷

关键词：

block matrices over rings; von Neumann regularity; triangular Toeplitz matrices;

D O I：

10.1016/S0024-3795(01)00295-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient conditions are given for the von Neumann regularity of triangular block matrices with von Neumann regular diagonal blocks over arbitrary rings. This leads to the characterization of the von Neumann regularity of a class of triangular Toeplitz matrices over arbitrary rings. Some special results and a new algorithm are derived for triangular Toeplitz matrices over commutative rings. Finally, the Drazin invertibility of some companion matrices over arbitrary rings is considered, as an application. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：485 / 502

页数：18