On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses

被引：2

作者：

Romo, Fernando Pablos ^{[1
,2
]}

机构：

[1] Univ Salamanca, Dept Matemat, Plaza Merced 1-4, Salamanca 37008, Spain

[2] Univ Salamanca, Inst Univ Fis Fundamental & Matemat, Plaza Merced 1-4, Salamanca 37008, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 19期

关键词：

Drazin inverse; DMP inverse; finite potent endomorphism; GENERALIZED INVERSE;

D O I：

10.1080/03081087.2020.1849004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to offer necessary and sufficient conditions for the coincidence of the Drazin inverse and the DMP inverses of finite square complex matrices. This characterization is deduced from statements valid for finite potent endomorphisms and, in particular, several properties of matrices and generalized inverses are given.

引用

页码：3617 / 3632

页数：16

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