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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Bibliographic Details
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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