On G-Drazin inverses of finite potent endomorphisms and arbitrary square matrices
[EN] The aim of this work is to extend to finite potent endomorphisms the notion of G-Drazin inverse of a finite square matrix. Accordingly, we determine the structure and the properties of a G-Drazin inverse of a finite potent endomorphism and, as an application, we offer an algorithm to compute th...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/164135 |
| Acceso en línea: | http://hdl.handle.net/10366/164135 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite potent endomorphism Arbitrary square matrices G-Drazin inverse Generalized inverse of matrices 12 Matemáticas |
| Sumario: | [EN] The aim of this work is to extend to finite potent endomorphisms the notion of G-Drazin inverse of a finite square matrix. Accordingly, we determine the structure and the properties of a G-Drazin inverse of a finite potent endomorphism and, as an application, we offer an algorithm to compute the explicit expression of all G-Drazin inverses of a finite square matrix. |
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