Algorithms for solving the inverse problem associated with KAK = A(s+1)
[EN] In previous papers, the authors introduced and characterized a class of matrices called {K, s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all invol...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2017 |
| 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:10251/92205 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/92205 |
| Access Level: | acceso abierto |
| Palavra-chave: | Involutory matrix {K, s + 1}-potent matrix Spectrum Algorithm Inverse problem MATEMATICA APLICADA INGENIERIA TELEMATICA |
| Resumo: | [EN] In previous papers, the authors introduced and characterized a class of matrices called {K, s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all involutory matrices K satisfying KAs+1K = A for a given matrix A ¿ C n×n and a given natural number s. The cases s = 0 and s ¿ 1 are separately studied since they produce different situations. In addition, some examples are presented showing the numerical performance of the methods. |
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