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Research Article | Open Access

Further characterizations of the weak core inverse of matrices and the weak core matrix

Zhimei Fu, Kezheng Zuo( ), Yang Chen
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
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Abstract

The present paper is devoted to characterizing the weak core inverse and the weak core matrix using the core-EP decomposition. Some new characterizations of the weak core inverse are presented by using its range space, null space and matrix equations. Additionally, we give several new representations and properties of the weak core inverse. Finally, we consider several equivalent conditions for a matrix to be a weak core matrix.

Keywords

weak core inverseweak core matricescore-EP decompositionrange spacenull space
CLC number: 15A09

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 3630-3647
DOI: 10.3934/math.2022200

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Cite this article:
Fu Z, Zuo K, Chen Y. Further characterizations of the weak core inverse of matrices and the weak core matrix. AIMS Mathematics, 2022, 7(3): 3630-3647. https://doi.org/10.3934/math.2022200

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Received: 22 September 2021
Accepted: 16 November 2021
Published: 15 March 2021
©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)