https://orcid.org/0000-0003-3444-1800
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ABSTRACT
The aim of this work is to extend to finite potent endomorphisms the notion of G-Drazin inverse of a finite square matrix. Accordingly, we determine the structure and the properties of a G-Drazin inverse of a finite potent endomorphism and, as an application, we offer an algorithm to compute the explicit expression of all G-Drazin inverses of a finite square matrix.
Acknowledgements
The author would like to thank the anonymous reviewer for his/her valuable comments to improve the quality of the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work is partially supported by the Ministerio de Ciencia e Innovación – Spanish Government research projects nos. MTM2015-66760-P and PGC2018-099599-B-I00 and the Consejería de Educación, Junta de Castilla y León – Regional Government of Castile and Leon research project no. J416/463AC03.