Real roots of nonlinear systems of equations through a metaheuristic algorithm

This article describes the use of a numeric strategy to perform a metaheuristic optimization for finding the real roots of a nonlinear equation system. A theorem that shows why it can be treated as an optimization problem is shown. Some two-, three-, and fiveequationsystems are used as examples of t...

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Autores:
Amaya, Iván
Cruz, Jorge
Correa, Rodrigo
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/40446
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/40446
http://bdigital.unal.edu.co/30543/
Palabra clave:
nonlinear equations
optimization methods
particle swarm optimization
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Amaya, Iván26796d1a-0895-4f38-9148-2b2c06596858300Cruz, Jorge99ea9935-81cf-40b0-a8f7-8dfa73e595c9300Correa, Rodrigo45253210-6ef4-4d6f-acb1-0c37bb9874243002019-06-28T09:33:48Z2019-06-28T09:33:48Z2011https://repositorio.unal.edu.co/handle/unal/40446http://bdigital.unal.edu.co/30543/This article describes the use of a numeric strategy to perform a metaheuristic optimization for finding the real roots of a nonlinear equation system. A theorem that shows why it can be treated as an optimization problem is shown. Some two-, three-, and fiveequationsystems are used as examples of the strategy.application/pdfspaUniversidad Nacional de Colombia Sede Medellínhttp://revistas.unal.edu.co/index.php/dyna/article/view/29383Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaDyna; Vol. 78, núm. 170 (2011); 15-23 DYNA; Vol. 78, núm. 170 (2011); 15-23 2346-2183 0012-7353Amaya, Iván and Cruz, Jorge and Correa, Rodrigo (2011) Real roots of nonlinear systems of equations through a metaheuristic algorithm. Dyna; Vol. 78, núm. 170 (2011); 15-23 DYNA; Vol. 78, núm. 170 (2011); 15-23 2346-2183 0012-7353 .Real roots of nonlinear systems of equations through a metaheuristic algorithmArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTnonlinear equationsoptimization methodsparticle swarm optimizationORIGINAL29383-105920-1-PB.pdfapplication/pdf1156930https://repositorio.unal.edu.co/bitstream/unal/40446/1/29383-105920-1-PB.pdf4d16dc4bc791989e7773787fce11bc1dMD51THUMBNAIL29383-105920-1-PB.pdf.jpg29383-105920-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg9017https://repositorio.unal.edu.co/bitstream/unal/40446/2/29383-105920-1-PB.pdf.jpg7de6695014ab9b1217a4cab56bc0a116MD52unal/40446oai:repositorio.unal.edu.co:unal/404462023-01-28 23:05:09.282Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Real roots of nonlinear systems of equations through a metaheuristic algorithm
title Real roots of nonlinear systems of equations through a metaheuristic algorithm
spellingShingle Real roots of nonlinear systems of equations through a metaheuristic algorithm
nonlinear equations
optimization methods
particle swarm optimization
title_short Real roots of nonlinear systems of equations through a metaheuristic algorithm
title_full Real roots of nonlinear systems of equations through a metaheuristic algorithm
title_fullStr Real roots of nonlinear systems of equations through a metaheuristic algorithm
title_full_unstemmed Real roots of nonlinear systems of equations through a metaheuristic algorithm
title_sort Real roots of nonlinear systems of equations through a metaheuristic algorithm
dc.creator.fl_str_mv Amaya, Iván
Cruz, Jorge
Correa, Rodrigo
dc.contributor.author.spa.fl_str_mv Amaya, Iván
Cruz, Jorge
Correa, Rodrigo
dc.subject.proposal.spa.fl_str_mv nonlinear equations
optimization methods
particle swarm optimization
topic nonlinear equations
optimization methods
particle swarm optimization
description This article describes the use of a numeric strategy to perform a metaheuristic optimization for finding the real roots of a nonlinear equation system. A theorem that shows why it can be treated as an optimization problem is shown. Some two-, three-, and fiveequationsystems are used as examples of the strategy.
publishDate 2011
dc.date.issued.spa.fl_str_mv 2011
dc.date.accessioned.spa.fl_str_mv 2019-06-28T09:33:48Z
dc.date.available.spa.fl_str_mv 2019-06-28T09:33:48Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/40446
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/30543/
url https://repositorio.unal.edu.co/handle/unal/40446
http://bdigital.unal.edu.co/30543/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/dyna/article/view/29383
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Dyna
Dyna
dc.relation.ispartofseries.none.fl_str_mv Dyna; Vol. 78, núm. 170 (2011); 15-23 DYNA; Vol. 78, núm. 170 (2011); 15-23 2346-2183 0012-7353
dc.relation.references.spa.fl_str_mv Amaya, Iván and Cruz, Jorge and Correa, Rodrigo (2011) Real roots of nonlinear systems of equations through a metaheuristic algorithm. Dyna; Vol. 78, núm. 170 (2011); 15-23 DYNA; Vol. 78, núm. 170 (2011); 15-23 2346-2183 0012-7353 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia Sede Medellín
institution Universidad Nacional de Colombia
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