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).