Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/39053

TitleTesting Nelder-Mead based repulsion algorithms for multiple roots of nonlinear systems via a two-level factorial design of experiments
Author(s)Ramadas, Gisela C. V.
Rocha, Ana Maria A. C.
Fernandes, Edite Manuela da G. P.
Issue date2015
PublisherPublic Library of Science (PLOS)
JournalPloS one
CitationRamadas, G. C. V., Rocha, A. M. A. C., & Fernandes, E. M. G. P. (2015). Testing Nelder-Mead Based Repulsion Algorithms for Multiple Roots of Nonlinear Systems via a Two-Level Factorial Design of Experiments. PLoS ONE, 10(4). doi: 10.1371/journal.pone.0121844
Abstract(s)This paper addresses the challenging task of computing multiple roots of a system of nonlinear equations. A repulsion algorithm that invokes the Nelder-Mead (N-M) local search method and uses a penalty-type merit function based on the error function, known as 'erf', is presented. In the N-M algorithm context, different strategies are proposed to enhance the quality of the solutions and improve the overall efficiency. The main goal of this paper is to use a two-level factorial design of experiments to analyze the statistical significance of the observed differences in selected performance criteria produced when testing different strategies in the N-M based repulsion algorithm. The main goal of this paper is to use a two-level factorial design of experiments to analyze the statistical significance of the observed differences in selected performance criteria produced when testing different strategies in the N-M based repulsion algorithm.
TypeArticle
URIhttp://hdl.handle.net/1822/39053
DOI10.1371/journal.pone.0121844
ISSN1932-6203
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CAlg - Artigos em revistas internacionais/Papers in international journals

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