2022-10-102022-10-102013-05-20GODOI, G. H. Algoritmo proximal inexato tipo descida para otimização suave. 2013. 59 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.http://repositorio.bc.ufg.br/tede/handle/tede/12362The proximal method is a standard regularization approach in optimization. In this work we focus on a stopping rule of this algorithm, when smoothness is present, so that Newton-like method can be used to solve the subproblems. The basis for our stopping test is a "sufficient" decrease in the objective function where we establish the convergence of the algorithm obtained.Attribution-NonCommercial-NoDerivatives 4.0 InternationalMétodo proximalAlgoritmo quase-Newton e análise convexaProximal methodQuasi-Newton algorithm and aonvex analysisCIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADA::FISICA MATEMATICADissertação