37 citations · 143 across the 21 of their papers we have counts for
22 papers
The method of ellipcenters with momentum and relaxation for convex quadratic minimization
Roger Behling, Vincent Guigues, Harry Oviedo
The method of ellipcenters (ME) is a recent technique developed for unconstrained minimization. Its iteration relies only on first order information and consists of building a suit…
The Method of Ellipcenters for strongly convex minimization
Roger Behling, Ramyro Correa, Eduarda Ferreira +1
This work is about ME, the Method of Ellipcenters. ME was recently introduced by these very authors as a first order accelerated scheme for unconstrained minimization. Its iterates…
New operator designs for Halpern iterations with explicit rates under Hölder error bounds
Pablo Barros, Vincent Guigues, Roger Behling +1
We investigate the asymptotic behavior of Halpern-type iterations applied to quasi-nonexpansive operators arising in best approximation problems over the intersection of finitely m…
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…
Basis pursuit by inconsistent alternating projections
Roger Behling, Yunier Bello-Cruz, Luiz-Rafael Santos +1
Basis pursuit is the problem of finding a vector with smallest -norm among the solutions of a given linear system of equations. It is a well-known convex relaxation of the…
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…