Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/30834
Título: | Multiple roots of systems of equations by repulsion merit functions |
Autor(es): | Ramadas, Gisela C. V. Fernandes, Edite Manuela da G. P. Rocha, Ana Maria A. C. |
Palavras-chave: | System of equations Multiple roots Penalty function Repulsion Harmony search |
Data: | 2014 |
Editora: | Springer International Publishing AG |
Revista: | Lecture Notes in Computer Science |
Resumo(s): | In this paper we address the problem of computing multiple roots of a system of nonlinear equations through the global optimization of an appropriate merit function. The search procedure for a global min- imizer of the merit function is carried out by a metaheuristic, known as harmony search, which does not require any derivative information. The multiple roots of the system are sequentially determined along several ite- rations of a single run, where the merit function is accordingly modified by penalty terms that aim to create repulsion areas around previously computed minimizers. A repulsion algorithm based on a multiplicative kind penalty function is proposed. Preliminary numerical experiments with a benchmark set of problems show the effectiveness of the proposed method. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/30834 |
ISBN: | 978-3-319-09128-0 |
DOI: | 10.1007/978-3-319-09129-7_10 |
ISSN: | 0302-9743 |
Versão da editora: | www.springerlink.com |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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LNCS_8580_126–139.pdf | 502,91 kB | Adobe PDF | Ver/Abrir |