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Problemas de Otimização Quase Convexos: Método do Gradiente para Funções Escalares e Vetoriais

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Autor principal: SANTOS, Milton Gabriel Garcia dos
Data de publicació: 2011
Format: Master thesis
Idioma: por
Font: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tde/1946
Sumari: This work we study the convergence properties of the Gradient Method Designed and Descent Method for Multi-objective optimization. At first, our optimization problem is to minimize a real function of n-variables, continuously differentiable and restricted to a set of simple structure and add on the objective function of the hypothesis of pseudo-convexity or quasi-convexity. Then we consider the problem of unconstrained multi-objective optimization and add some hypotheses about the function vector, such as convexity or quasi-convexity, and is continuously differentiable. It is noteworthy that in both problems will be used to search for inexact Armijo over viable directions.