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Derivative-free nonlinear optimization filter simplex

dc.contributor.authorCorreia, Aldina
dc.contributor.authorMatias, João
dc.contributor.authorMestre, Pedro
dc.contributor.authorSerôdio, Carlos
dc.date.accessioned2013-08-26T11:15:12Z
dc.date.available2013-08-26T11:15:12Z
dc.date.issued2010
dc.description.abstractThe filter method is a technique for solving nonlinear programming problems. The filter algorithm has two phases in each iteration. The first one reduces a measure of infeasibility, while in the second the objective function value is reduced. In real optimization problems, usually the objective function is not differentiable or its derivatives are unknown. In these cases it becomes essential to use optimization methods where the calculation of the derivatives or the verification of their existence is not necessary: direct search methods or derivative-free methods are examples of such techniques. In this work we present a new direct search method, based on simplex methods, for general constrained optimization that combines the features of simplex and filter methods. This method neither computes nor approximates derivatives, penalty constants or Lagrange multipliers.por
dc.identifier.doi10.2478/v10006-010-0051-1pt_PT
dc.identifier.issn1641-876X
dc.identifier.urihttp://hdl.handle.net/10400.22/1852
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherUniversity of Zielona Gora Presspor
dc.relation.ispartofseriesInternational Journal of Applied Mathematics and Computer Science; Vol. 20, N.º4
dc.relation.publisherversionhttps://www.amcs.uz.zgora.pl/?action=paper&paper=521por
dc.subjectNonlinear constrained optimizationpor
dc.subjectFilter methodspor
dc.subjectDirect search methodspor
dc.titleDerivative-free nonlinear optimization filter simplexpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage688por
oaire.citation.issueNº 4
oaire.citation.startPage679por
oaire.citation.titleInternational Journal of Applied Mathematics and Computer Sciencepor
oaire.citation.volumeVol. 20por
rcaap.rightsopenAccesspor
rcaap.typearticlepor

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