3 papers
math.OC2020
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
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…
math.OC2017
On a conjecture in second-order optimality conditions
R. Behling, G. Haeser, A. Ramos +1
In this paper we deal with optimality conditions that can be verified by a nonlinear optimization algorithm, where only a single Lagrange multiplier is avaliable. In particular, we…