2014-07-292012-02-072011-10-27SANTOS, 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.http://repositorio.bc.ufg.br/tede/handle/tde/1946This 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.application/pdfAcesso AbertoMétodo do GradienteMétodo do Gradiente ProjetadoFunções Convexas GeneralizadasGradient MethodGradient Projection MethodGeneralized Convex FunctionsMétod do Gradiente; Métod do Gradiente Projetado; Funções Convexas GeneralizadasCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICADissertação