Problemas de Otimização Quase Convexos: Método do Gradiente para Funções Escalares e Vetoriais
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2011-10-27
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Universidade Federal de Goiás
Resumo
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.
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Citação
SANTOS, Milton Gabriel Garcia dos. Optimization Problems Quasi-convex: Gradient Method for Vector and Scalar Functions. 2011. 57 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.