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Testing Nelder-Mead Based Repulsion Algorithms for Multiple Roots of Nonlinear Systems via a Two-Level Factorial Design of Experiments

2015Journal article Open access
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dc.contributor.authorRamadas, Gisela C. V.
dc.contributor.authorRocha, Ana Maria A. C.
dc.contributor.authorFernandes, Edite M. G. P.
dc.date.accessioned2016-01-21T09:50:53Z
dc.date.available2016-01-21T09:50:53Z
dc.date.issued2015
dc.description.abstractThis 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.pt_PT
dc.identifier.doi10.1371/journal.pone.0121844pt_PT
dc.identifier.issn1932-6203
dc.identifier.urihttp://hdl.handle.net/10400.22/7435
dc.language.isoengpt_PT
dc.publisherPlospt_PT
dc.relation2014 - Strategic Project
dc.relation2014 - Strategic Project
dc.relation.ispartofseriesPlos One;Vol. 10, n. 4
dc.subjectAlgorithmspt_PT
dc.subjectNonlinear systemspt_PT
dc.subjectExperimental designpt_PT
dc.subjectFactorial designpt_PT
dc.subjectAnalysis of variancept_PT
dc.subjectReflectionpt_PT
dc.subjectNeurophysiologypt_PT
dc.subjectOptimizationpt_PT
dc.titleTesting Nelder-Mead Based Repulsion Algorithms for Multiple Roots of Nonlinear Systems via a Two-Level Factorial Design of Experimentspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitle2014 - Strategic Project
oaire.awardTitle2014 - Strategic Project
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FEME%2FUI0615%2F2014/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FEEI%2FUI0319%2F2014/PT
oaire.citation.titlePlos Onept_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
person.familyNameGonçalves Vieira Ramadas
person.givenNameGisela Cristina
person.identifier.ciencia-id1718-5E35-4A69
person.identifier.orcid0000-0003-3883-2964
person.identifier.scopus-author-id54403520900
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication5b7d05da-a26f-4253-b821-a051a98d6aa8
relation.isAuthorOfPublication.latestForDiscovery5b7d05da-a26f-4253-b821-a051a98d6aa8
relation.isProjectOfPublication4b1de141-8d22-4b4f-a101-231ecf6b2b8f
relation.isProjectOfPublication5cbb350e-aafe-4302-bec0-cdfbb42b0591
relation.isProjectOfPublication.latestForDiscovery5cbb350e-aafe-4302-bec0-cdfbb42b0591

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