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

Ilić, Ivana; Stanišev, Ivana; Višnjić, Jelena

doi:10.2298/FIL2426009I

Article Restricted access M22

Ilic et al. - Filomat.pdf (214.95KB)

2024

Ilić, Ivana
Stanišev, Ivana
Višnjić, Jelena

University of Niš, Faculty of Sciences and Mathematics

Filomat

9009

9023

English

M22 - Paper in a prominent international journal

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.

Drazin inverse, Block matrix, Additive formula

DOI

10.2298/FIL2426009I

ISSN

2406-0933
0354-5180

URI

https://repozitorijum.tfbor.bg.ac.rs/handle/...

Scopus

OpenCitations

dc.rights.license	CC-BY
dc.identifier.issn	2406-0933
dc.identifier.doi	10.2298/FIL2426009I
dc.identifier.uri	https://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5952
dc.description.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.
dc.language.iso	en
dc.publisher	University of Niš, Faculty of Sciences and Mathematics
dc.source	Filomat
dc.subject	Drazin inverse
dc.subject	Block matrix
dc.subject	Additive formula
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.title	A note on additive formulas for the Drazin inverse of matrices and block representations
dc.type	article
dc.type.version	publishedVersion
dc.citation.volume	38
dc.citation.issue	26
dc.citation.spage	9009
dc.citation.epage	9023
dc.citation.rank	M22
dc.creator	Ilić, Ivana
dc.creator	Stanišev, Ivana
dc.creator	Višnjić, Jelena
dc.date.accessioned	2025-01-15T08:49:29Z
dc.date.available	2025-01-15T08:49:29Z
dc.date.issued	2024
dc.identifier.issn	0354-5180


A note on additive formulas for the Drazin inverse of matrices and block representations	1


Ilic et al. - Filomat.pdf	0