1 citations · 1 across the 4 of their papers we have counts for
5 papers
A relative-error inexact ADMM splitting algorithm for convex optimization with inertial effects
M. Marques Alves, M. Geremia
We propose a new relative-error inexact version of the alternating direction method of multipliers (ADMM) for convex optimization. We prove the asymptotic convergence of our main a…
A strongly convergent inertial inexact proximal-point algorithm for monotone inclusions with applications to variational inequalities
M. Marques Alves, J. E. Navarro Caballero, M. Geremia +1
We propose an inertial variant of the strongly convergent inexact proximal-point (PP) method of Solodov and Svaiter (2000) for monotone inclusions. We prove strong convergence of o…
A relative-error inertial-relaxed inexact projective splitting algorithm
M. Marques Alves, Marina Geremia, Raul T. Marcavillaca
For solving structured monotone inclusion problems involving the sum of finitely many maximal monotone operators, we propose and study a relative-error inertial-relaxed inexact pro…
Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms
M. Marques Alves, Jonathan Eckstein, Marina Geremia +1
This paper derives new inexact variants of the Douglas-Rachford splitting method for maximal monotone operators and the alternating direction method of multipliers (ADMM) for conve…
Iteration complexity of an inexact Douglas-Rachford method and of a Douglas-Rachford-Tseng's F-B four-operator splitting method for solving monotone inclusions
M. Marques Alves, M. Geremia
In this paper, we propose and study the iteration complexity of an inexact Douglas-Rachford splitting (DRS) method and a Douglas-Rachford-Tseng's forward-backward (F-B) splitting m…