3 papers
math.OC2024
A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods
M. Marques Alves, Dirk A. Lorenz, Emanuele Naldi
In this work we apply the recently introduced framework of degenerate preconditioned proximal point algorithms to the hybrid proximal extragradient (HPE) method for maximal monoton…
math.OC2017
On the convergence rate of the scaled proximal decomposition on the graph of a maximal monotone operator (SPDG) algorithm
S. Costa Lima, M. Marques Alves
Relying on fixed point techniques, Mahey, Oualibouch and Tao introduced the scaled proximal decomposition on the graph of a maximal monotone operator (SPDG) algorithm and analyzed…
math.OC2016
Iteration-complexity of a Rockafellar's proximal method of multipliers for convex programming based on second-order approximations
M. Marques Alves, R. D. C. Monteiro, Benar F. Svaiter
This paper studies the iteration-complexity of a new primal-dual algorithm based on Rockafellar's proximal method of multipliers (PMM) for solving smooth convex programming problem…