Generalized core inverses of matrices
[EN] n this paper, we introduce two new generalized inverses of matrices, namely, the < i, m >-core inverse and the (j, m)-core inverse. The < i, m >-core inverse of a complex matrix extends the notions of the core inverse defined by Baksalary and Trenkler [1] and the cor...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/140254 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/140254 |
| Access Level: | acceso abierto |
| Palavra-chave: | < i, m > -core inverse (j, m)-core inverse Core inverse DMP-inverse Core-EP inverse MATEMATICA APLICADA |
| Resumo: | [EN] n this paper, we introduce two new generalized inverses of matrices, namely, the < i, m >-core inverse and the (j, m)-core inverse. The < i, m >-core inverse of a complex matrix extends the notions of the core inverse defined by Baksalary and Trenkler [1] and the core-EP inverse defined by Manjunatha Prasad and Mohana [10]. The (j, m)-core inverse of a complex matrix extends the notions of the core inverse and the DMP-inverse defined by Malik and Thome [9]. Moreover, the formulae and properties of these two new concepts are investigated by using matrix decompositions and matrix powers. |
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