activity
20192026
most citedPrimal-dual splittings as fixed point iterations in the range of linear operators

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2026

Inexact Warped Resolvent iterations

Raul T. Marcavillaca, Fernando Roldan

In this paper we aim to solve structured monotone inclusions using inexact warped resolvents evaluated under a relative-error criterion. The resulting algorithms admit a geometric…

math.OC2022

Four Operator Splitting via a Forward-Backward-Half-Forward Algorithm with Line Search

Luis Briceño-Arias, Fernando Roldán

In this article we provide a splitting method for solving monotone inclusions in a real Hilbert space involving four operators: a maximally monotone, a monotone-Lipschitzian, a coc…

math.OC2021

Resolvent of the parallel composition and proximity operator of the infimal postcomposition

Luis Briceño-Arias, Fernando Roldán

In this paper we provide the resolvent computation of the parallel composition of a maximally monotone operator by a linear operator under mild assumptions. Connections with a modi…

math.OC2021

Forward-partial inverse-half-forward splitting algorithm for solving monotone inclusions

Luis M. Briceño-Arias, Jinjian Chen, Fernando Roldán +1

In this paper we provide a splitting algorithm for solving coupled monotone inclusions in a real Hilbert space involving the sum of a normal cone to a vector subspace, a maximally…

math.OC2021

Split-Douglas-Rachford algorithm for composite monotone inclusions and Split-ADMM

Luis M. Briceño-Arias, Fernando Roldán

In this paper we provide a generalization of the Douglas-Rachford splitting (DRS) and the primal-dual algorithm (Vu 2013, Condat 2013) for solving monotone inclusions in a real Hil…

math.OC2019★ 1 cited

Primal-dual splittings as fixed point iterations in the range of linear operators

Luis Briceño-Arias, Fernando Roldán

In this paper we study the relaxed primal-dual algorithm for solving composite monotone inclusions in real Hilbert spaces with critical preconditioners. Our approach is based in ne…