New characterizations of weak group matrices-Reference-Cited by-同舟云学术

New characterizations of weak group matrices

Published:2023 Issue:2 Volume:37 Page:457-466
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Zhou Mengmeng¹,Chen Jianlong²,Thome Néstor³

Affiliation:

1. College of Information Engineering, Nanjing Xiaozhuang University, Nanjing, Jiangsu, China

2. School of Mathematics, Southeast University, Nanjing, Jiangsu, China

3. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain

Abstract

In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is an arbitrary positive integer. Firstly, some new characterizations of weak group matrices are investigated by means of core-EP decomposition. Secondly, we study new equivalent conditions of the weak group matrix by using commutator and rank equalities. Finally, the relationships between {m, k}-core EP matrices, k-EP matrices and weak group matrices are given.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference22 articles.

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