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Research Article | Open Access

On the Drazin inverse of anti-triangular block matrices

Daochang Zhang1,2, Dijana Mosić3, Liangyun Chen1( )
School of Mathematics and Statistics, Northeast Normal University, Changchun, China
College of Sciences, Northeast Electric Power University, Jilin, China
Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia
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Abstract

Our aim is to present new expressions for the Drazin inverse of anti-triangular block matrices under some circumstances. Applying the established new formulae for anti-triangular block matrices, we derive explicit representations for the Drazin inverse of a 2×2 complex block matrix under corresponding assumptions. We extend several well known results in the literature in this way.

Keywords

Drazin inverseblock matrixanti-triangular block matrixindex

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Electronic Research Archive
Volume 30 Issue 7,
July 2022
Pages 2428-2445
DOI: 10.3934/era.2022124

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Cite this article:
Zhang D, Mosić D, Chen L. On the Drazin inverse of anti-triangular block matrices. Electronic Research Archive, 2022, 30(7): 2428-2445. https://doi.org/10.3934/era.2022124

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Received: 28 August 2021
Revised: 17 January 2022
Accepted: 20 January 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

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