Some results on core EP Drazin matrices and partial isometries

[EN] In this paper, by using the core EP inverse and the Drazin inverse which are two well known generalized inverses, a new class of matrices entitled core EP Drazin matrices (shortly, matrices) is introduced. This class contains the set of all EP matrices and also the set of normal matrices. Some...

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Detalles Bibliográficos
Autores: Aghamollaei, Gholamreza, Mortezaei, Mahdiyeh, Mosic, Dijana, Thome, Néstor|||0000-0001-5328-6637
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::91e3a79a6ce6e09b97e619803da77427
Acceso en línea:https://riunet.upv.es/handle/10251/236105
Access Level:acceso embargado
Palabra clave:Core EP inverse
Drazin inverse
Moore-Penrose inverse
Partial isometry
Inde
Descripción
Sumario:[EN] In this paper, by using the core EP inverse and the Drazin inverse which are two well known generalized inverses, a new class of matrices entitled core EP Drazin matrices (shortly, matrices) is introduced. This class contains the set of all EP matrices and also the set of normal matrices. Some algebraic properties of these matrices are also investigated. Moreover, some results about the Drazin inverse and the core EP inverse of partial isometries are derived, and using them, some conditions for which partial isometries are CEPD, are obtained. To illustrate the main results, some numerical examples are given.