Relationships between different sets involving group and Drazin projectors and nonnegativity
This paper deals with nonnegativity of matrices and their group or Drazin inverses. Firstly, the nonnegativity of a square matrix A, its group inverse A# and its group projector AA# is used to define different sets for which relationships and characterizations are given. Next, an extension of the pr...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2013 |
| 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:10251/60360 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/60360 |
| Access Level: | acceso abierto |
| Palavra-chave: | Drazin inverse Group inverse Core-nilpotent Nonnegativity MATEMATICA APLICADA |
| Resumo: | This paper deals with nonnegativity of matrices and their group or Drazin inverses. Firstly, the nonnegativity of a square matrix A, its group inverse A# and its group projector AA# is used to define different sets for which relationships and characterizations are given. Next, an extension of the previous results for index greater than 1 is presented. Similar sets are introduced and studied for Drazin inverses and Drazin projectors considering the core-nilpotent decomposition. In addition, the results are applied to study the {l}-Drazin periodic matrices for l greater than or equal to 1. |
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