A note on additive formulas for the Drazin inverse of matrices and block representations

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Date

2024

Authors

Ilić, Ivana
Stanišev, Ivana
Višnjić, Jelena

Journal Title

Journal ISSN

Volume Title

Publisher

University of Niš, Faculty of Sciences and Mathematics

Source

Filomat

Volume

38

Issue

26

Abstract

In this paper, we investigate the additive properties of the Drazin inverse for complex matrices. We derive new additive formulas for the Drazin inverse, which generalize some previous results on the subject. Furthermore, we give a new representation for the Drazin inverse of a block matrix, which extends some known representations.

Description

Keywords

Drazin inverse, Block matrix, Additive formula

Citation

DOI

10.2298/FIL2426009I

Scopus

ISSN

0354-5180
2406-0933

ISBN

License

CC-BY

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