3 papers
math.OC2025
Introducing the method of ellipcenters, a new first order technique for unconstrained optimization
Roger Behling, Ramyro Aquines Correa, Eduarda Ferreira Zanatta +1
In this paper, we introduce the Method of Ellipcenters (ME) for unconstrained minimization. At the cost of two gradients per iteration and a line search, we compute the next iterat…
math.OC2025
Parallel Polyhedral Projection Method for the Convex Feasibility Problem
Pablo Barros, Roger Behling, Vincent Guigues
In this paper, we introduce and study the Parallel Polyhedral Projection Method (3PM) and the Approximate Parallel Polyhedral Projection Method (A3PM) for finding a point in the in…
math.OC2025
Parallelizing the Circumcentered-Reflection Method
Pablo Barros, Roger Behling, Vincent Guigues +1
This paper introduces the Parallelized Circumcentered Reflection Method (P-CRM), a circumcentric approach that parallelizes the Circumcentered Reflection Method (CRM) for solving C…