Solving systems of nonlinear equations by harmony search

In this paper, we aim to analyze the performance of some variants of the harmony search (HS) metaheuristic when solving systems of nonlinear equations through the global optimization of an appropriate merit function. The HS metaheuristic draws its inspiration from an artistic process, the improvisat...

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Bibliographic Details
Main Author: Ramadas, Gisela C. V. (author)
Other Authors: Fernandes, Edite Manuela da G. P. (author)
Format: conferencePaper
Language:eng
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/1822/27238
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/27238
Description
Summary:In this paper, we aim to analyze the performance of some variants of the harmony search (HS) metaheuristic when solving systems of nonlinear equations through the global optimization of an appropriate merit function. The HS metaheuristic draws its inspiration from an artistic process, the improvisation process of musicians seeking a wonderful harmony. A new differential best HS algorithm, based on an improvisation operator that mimics the best harmony and uses a differential variation, is proposed. Computational experiments involving a well-known set of small-dimensional problems are presented.