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Research Article | Open Access

Further characterizations of the m-weak group inverse of a complex matrix

Wanlin Jiang1, Kezheng Zuo2( )
School of Science and Technology, College of Arts and Science of Hubei Normal University, Huangshi, 435109, China
School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
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Abstract

In this paper, we introduce certain different characterizations and several new properties of the m-weak group inverse of a complex matrix. Also, the relationship between the m-weak group inverse and a nonsingular bordered matrix is established as well as the Cramer's rule for the solution of the restricted matrix equation that depends on the m-weak group inverse.

Keywords

weak group inversem-weak group inversecore-EP inversecore-EP decomposition
CLC number: 15A09

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 17369-17392
DOI: 10.3934/math.2022957

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Cite this article:
Jiang W, Zuo K. Further characterizations of the m-weak group inverse of a complex matrix. AIMS Mathematics, 2022, 7(9): 17369-17392. https://doi.org/10.3934/math.2022957

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Received: 25 February 2022
Revised: 08 May 2022
Accepted: 20 May 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)