On the Drazin inverse of anti-triangular block matrices-Reference-Cited by-同舟云学术

On the Drazin inverse of anti-triangular block matrices

Published:2022 Issue:7 Volume:30 Page:2428-2445
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Zhang Daochang¹²,Mosić Dijana³,Chen Liangyun¹

Affiliation:

1. School of Mathematics and Statistics, Northeast Normal University, Changchun, China

2. College of Sciences, Northeast Electric Power University, Jilin, China

3. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia

Abstract

<abstract><p>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\times2 $ complex block matrix under corresponding assumptions. We extend several well known results in the literature in this way.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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