On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses

[EN] 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...

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Detalhes bibliográficos
Autor: Pablos Romo, Fernando
Tipo de documento: artigo
Estado:Versión actualizada desde la publicación
Data de publicação:2022
País:España
Recursos:Universidad de Salamanca (USAL)
Repositório:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/164136
Acesso em linha:http://hdl.handle.net/10366/164136
Access Level:Acceso aberto
Palavra-chave:Drazin inverse
DMP inverse
Finite potent endomorphism
12 Matemáticas
Descrição
Resumo:[EN] 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.