Dual core-EP generalized inverse and a new decomposition
[EN] In this work, we introduce a new type of generalized inverse called dual core-EP generalized inverse (in short, DCEPGI) for dual square matrices. We analyse the existence and uniqueness of the DCEPGI inverse and its compact formula using dual Drazin and dual MP inverse. Moreover, some character...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::4baea5cc2d400fc583aa3cb6e9520adc |
| Acesso em linha: | https://riunet.upv.es/handle/10251/234790 |
| Access Level: | acceso embargado |
| Palavra-chave: | Dual matrix Dual Moore-Penrose inverse Dual Drazin inverse Dual core-EP inverse Dual core-EP decomposition |
| Resumo: | [EN] In this work, we introduce a new type of generalized inverse called dual core-EP generalized inverse (in short, DCEPGI) for dual square matrices. We analyse the existence and uniqueness of the DCEPGI inverse and its compact formula using dual Drazin and dual MP inverse. Moreover, some characterizations using core-EP decomposition are obtained. We present a new dual matrix decomposition named the dual core-EP decomposition for square dual matrices. In addition, some relationships with other dual generalized inverses are established. As an application, solutions to system of linear dual equations are derived. |
|---|