A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS

Detalhes bibliográficos
Autor(a) principal: Carrasco-Gutierrez,Carlos E.
Data de Publicação: 2019
Outros Autores: Sosa,Wilfredo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Pesquisa operacional (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457
Resumo: ABSTRACT The main goal of this manuscript is to introduce a discrete dynamical system defined by symmetric matrices and a real parameter. By construction, we rediscovery the Power Iteration Method from the Projected Gradient Method. Convergence of the discrete dynamical system solution is established. Finally, we consider two applications, the first one consists in find a solution of non linear equation problem and the other one consists in verifies the optimality conditions when we solve quadratic optimization problems over linear equality constraints.
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spelling A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONSProjected gradient type-methodPower Iteration MethodSymmetric matrixDiscrete Dynamical SystemABSTRACT The main goal of this manuscript is to introduce a discrete dynamical system defined by symmetric matrices and a real parameter. By construction, we rediscovery the Power Iteration Method from the Projected Gradient Method. Convergence of the discrete dynamical system solution is established. Finally, we consider two applications, the first one consists in find a solution of non linear equation problem and the other one consists in verifies the optimality conditions when we solve quadratic optimization problems over linear equality constraints.Sociedade Brasileira de Pesquisa Operacional2019-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457Pesquisa Operacional v.39 n.3 2019reponame:Pesquisa operacional (Online)instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)instacron:SOBRAPO10.1590/0101-7438.2019.039.03.0457info:eu-repo/semantics/openAccessCarrasco-Gutierrez,Carlos E.Sosa,Wilfredoeng2019-11-29T00:00:00Zoai:scielo:S0101-74382019000300457Revistahttp://www.scielo.br/popehttps://old.scielo.br/oai/scielo-oai.php||sobrapo@sobrapo.org.br1678-51420101-7438opendoar:2019-11-29T00:00Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)false
dc.title.none.fl_str_mv A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
title A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
spellingShingle A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
Carrasco-Gutierrez,Carlos E.
Projected gradient type-method
Power Iteration Method
Symmetric matrix
Discrete Dynamical System
title_short A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
title_full A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
title_fullStr A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
title_full_unstemmed A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
title_sort A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
author Carrasco-Gutierrez,Carlos E.
author_facet Carrasco-Gutierrez,Carlos E.
Sosa,Wilfredo
author_role author
author2 Sosa,Wilfredo
author2_role author
dc.contributor.author.fl_str_mv Carrasco-Gutierrez,Carlos E.
Sosa,Wilfredo
dc.subject.por.fl_str_mv Projected gradient type-method
Power Iteration Method
Symmetric matrix
Discrete Dynamical System
topic Projected gradient type-method
Power Iteration Method
Symmetric matrix
Discrete Dynamical System
description ABSTRACT The main goal of this manuscript is to introduce a discrete dynamical system defined by symmetric matrices and a real parameter. By construction, we rediscovery the Power Iteration Method from the Projected Gradient Method. Convergence of the discrete dynamical system solution is established. Finally, we consider two applications, the first one consists in find a solution of non linear equation problem and the other one consists in verifies the optimality conditions when we solve quadratic optimization problems over linear equality constraints.
publishDate 2019
dc.date.none.fl_str_mv 2019-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/0101-7438.2019.039.03.0457
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Pesquisa Operacional
publisher.none.fl_str_mv Sociedade Brasileira de Pesquisa Operacional
dc.source.none.fl_str_mv Pesquisa Operacional v.39 n.3 2019
reponame:Pesquisa operacional (Online)
instname:Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)
instacron:SOBRAPO
instname_str Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)
instacron_str SOBRAPO
institution SOBRAPO
reponame_str Pesquisa operacional (Online)
collection Pesquisa operacional (Online)
repository.name.fl_str_mv Pesquisa operacional (Online) - Sociedade Brasileira de Pesquisa Operacional (SOBRAPO)
repository.mail.fl_str_mv ||sobrapo@sobrapo.org.br
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