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On Drazin-Moore-Penrose inverses of finite potent endomorphisms

2019/05/06 by Fernando Pablos Romo
Computer Science · Mathematics · Engineering · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #graph theory and CDMA systems

paper · doi:10.1080/03081087.2019.1612834

Abstract

The aim of this work is to extend to finite potent endomorphisms the notion of the Drazin-Moore-Penrose inverse of a finite matrix. Several properties of this generalized inverse are proved that are also valid for some infinite matrices. Moreover, Drazin-Reflexive inverses associated with arbitrary reflexive generalized inverses of a finite potent endomorphism are introduced.

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