2026-04-062026-04-062026-02-20NUNES, Iago Victor Pires de Souza. Métodos Quasi-Newton proximais para problemas de otimização composta. 2026. 52 f. Dissertação (Mestrado em Matemática) – Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, 2026.https://repositorio.bc.ufg.br/tede/handle/tede/15177In this work, we analyze the proximal quasi-Newton method and its accelerated version to solve composite optimization problems. The study of the non-accelerated version is based on the reference [17], while the accelerated version is based on [3]. It is shown that the classical method obtains a convergence rate of O(1/k), i.e., for a given precision ε > 0, the method generates an iteration xk such that F (xk) − F (x∗) < ε in at most O(1/ε) iterations, where x∗ is a global minimizer of the problem mentioned above. For the accelerated version we obtain a better convergence rate of O(1/k2).Acesso AbertoOtimização MatemáticaMathematical OptimizationCIENCIAS EXATAS E DA TERRA::MATEMATICADissertação