A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS

A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS

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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Main Authors: Carrasco-Gutierrez,Carlos E., Sosa,Wilfredo
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2019
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457
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spelling oai:scielo:S0101-743820190003004572019-11-29A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONSCarrasco-Gutierrez,Carlos E.Sosa,Wilfredo Projected gradient type-method Power Iteration Method Symmetric matrix Discrete Dynamical System 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.info:eu-repo/semantics/openAccessSociedade Brasileira de Pesquisa OperacionalPesquisa Operacional v.39 n.3 20192019-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457en10.1590/0101-7438.2019.039.03.0457
institution SCIELO
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country Brasil
countrycode BR
component Revista
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databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Carrasco-Gutierrez,Carlos E.
Sosa,Wilfredo
spellingShingle Carrasco-Gutierrez,Carlos E.
Sosa,Wilfredo
A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
author_facet Carrasco-Gutierrez,Carlos E.
Sosa,Wilfredo
author_sort Carrasco-Gutierrez,Carlos E.
title A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
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 discrete dynamical system and its applications
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.
publisher Sociedade Brasileira de Pesquisa Operacional
publishDate 2019
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000300457
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AT sosawilfredo adiscretedynamicalsystemanditsapplications
AT carrascogutierrezcarlose discretedynamicalsystemanditsapplications
AT sosawilfredo discretedynamicalsystemanditsapplications
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