A DISCRETE DYNAMICAL SYSTEM AND ITS APPLICATIONS
Carlos Enrique Carrasco‐GutierrezCatholic University of Brasilia, BrazilWilfredo SosaCatholic University of Brasilia, Brazil
2019en
ABI
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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Cited by 40 references