activity
20072024
most citedCircumcentering the Douglas--Rachford method

37 citations · 166 across the 23 of their papers we have counts for

collaborators

23 papers

math.OC2024

A Proximal Gradient Method with an Explicit Line search for Multiobjective Optimization

Yunier Bello-Cruz, J. G. Melo, L. F. Prudente +1

We present a proximal gradient method for solving convex multiobjective optimization problems, where each objective function is the sum of two convex functions, with one assumed to…

math.OC2021★ 5 cited

Circumcentric directions of cones

Roger Behling, Yunier Bello-Cruz, Hugo Lara-Urdaneta +2

Generalized circumcenters have been recently introduced and employed to speed up classical projection-type methods for solving feasibility problems. In this note, circumcenters are…

math.OC2020★ 11 cited

Infeasibility and error bound imply finite convergence of alternating projections

Roger Behling, Yunier Bello-Cruz, Luiz-Rafael Santos

This paper combines two ingredients in order to get a rather surprising result on one of the most studied, elegant and powerful tools for solving convex feasibility problems, the m…

math.OC2020★ 13 cited

The circumcentered-reflection method achieves better rates than alternating projections

Reza Arefidamghani, Roger Behling, Yunier Bello-Cruz +2

We study the convergence rate of the Circumcentered-Reflection Method (CRM) for solving the convex feasibility problem and compare it with the Method of Alternating Projections (MA…

math.OC2020★ 18 cited

On the Circumcentered-Reflection Method for the Convex Feasibility Problem

Roger Behling, Yunier Bello-Cruz, Luiz-Rafael Santos

The ancient concept of circumcenter has recently given birth to the Circumcentered-Reflection method (CRM). CRM was first employed to solve best approximation problems involving af…

math.OC2019★ 15 cited

The Block-wise Circumcentered-Reflection Method

Roger Behling, J. -Yunier Bello-Cruz, Luiz-Rafael Santos

The elementary Euclidean concept of circumcenter has recently been employed to improve two aspects of the classical Douglas--Rachford method for projecting onto the intersection of…