Properties of core-EP matrices and binary relationships
[EN] In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with A and by means of it, some properties and equivalent conditions of core-EP matrices can be obtained. Also, properties of MPD, DMP, and CMP inverses are studied and we prove that...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/220590 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/220590 |
| Access Level: | acceso abierto |
| Palabra clave: | EP matrix Core EP matrix CMP-inverse Binary relation |
| Sumario: | [EN] In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with A and by means of it, some properties and equivalent conditions of core-EP matrices can be obtained. Also, properties of MPD, DMP, and CMP inverses are studied and we prove that in the class of core-EP matrices, DMP, MPD, and Drazin inverses are the same. Moreover, DMP and MPD binary relation orders are introduced and the relationship between these orders and other binary relation orders are considered. |
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