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
2406-0933
ISBN
License
CC-BY