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ABSTRACT
The aim of this work is to offer necessary and sufficient conditions for the coincidence of the Drazin inverse and the DMP inverses of finite square complex matrices. This characterization is deduced from statements valid for finite potent endomorphisms and, in particular, several properties of matrices and generalized inverses are given.
Acknowledgments
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 Spanish Government research projects MTM2015-66760-P and PGC2018-099599-B-I00 and the Regional Government of Castile and Leon research project J416/463AC03.