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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Detalles Bibliográficos
Autor: Pablos Romo, Fernando
Tipo de recurso: artículo
Estado:Versión actualizada desde la publicación
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/164136
Acceso en línea:http://hdl.handle.net/10366/164136
Access Level:acceso abierto
Palabra clave:Drazin inverse
DMP inverse
Finite potent endomorphism
12 Matemáticas
Descripción
Sumario:[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.