Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/57918
Título: | Finding multiple roots of systems of nonlinear equations by a hybrid harmony search-based multistart method |
Autor(es): | Ramadas, Gisela C. V. Fernandes, Edite Manuela da G. P. Rocha, Ana Maria A. C. |
Palavras-chave: | Differential evolution Harmony search Multistart Nonlinear equations |
Data: | 2018 |
Editora: | Natural Sciences Publishing |
Revista: | Applied Mathematics and Information Sciences |
Resumo(s): | A multistart (MS) clustering technique to compute multiple roots of a system of nonlinear equations through the global optimization of an appropriate merit function is presented. The search procedure that is invoked to converge to a root, starting from a randomly generated point inside the search space, is a new variant of the harmony search (HS) metaheuristic. The HS draws its inspiration from an artistic process, the improvisation process of musicians seeking a wonderful harmony. The new hybrid HS algorithm is based on an improvisation operator that mimics the best harmony and uses the idea of a differential variation, borrowed from the differential evolution algorithm. Computational experiments involving a benchmark set of small and large dimensional problems with multiple roots are presented. The results show that the proposed hybrid HS-based MS algorithm is effective in locating multiple roots and competitive when compared with other metaheuristics. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/57918 |
DOI: | 10.18576/amis/120102 |
ISSN: | 1935-0090 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CAlg - Artigos em revistas internacionais / Papers in international journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Ramadas_AMIS.pdf | 784,48 kB | Adobe PDF | Ver/Abrir |