English

On G-Drazin inverses of Finite Potent Endomorphisms and Arbitrary Square Matrices

Rings and Algebras 2020-07-07 v2

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.

Keywords

Cite

@article{arxiv.2003.05308,
  title  = {On G-Drazin inverses of Finite Potent Endomorphisms and Arbitrary Square Matrices},
  author = {Fernando Pablos Romo},
  journal= {arXiv preprint arXiv:2003.05308},
  year   = {2020}
}

Comments

17 pages