Extending EP matrices by means of recent generalized inverses
[EN] It is well known that a square complex matrix is called EP if it commutes with its Moore¿Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverse...
| 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:10251/219897 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/219897 |
| Access Level: | acceso abierto |
| Palabra clave: | Core EP inverse DMP inverse WG inverse EP matrix |
| Sumario: | [EN] It is well known that a square complex matrix is called EP if it commutes with its Moore¿Penrose inverse. In this paper, new classes of matrices which extend this concept are characterized. For that, we consider commutative equalities given by matrices of arbitrary index and generalized inverses recently investigated in the literature. More specifically, these classes are characterized by expressions of type AmX = XAm, where X is an outer inverse of a given complex square matrix A and m is an arbitrary positive integer. The relationships between the different classes of matrices are also analyzed. Finally, a picture presents an overview of the overall studied classes. |
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