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math.OC2025
Active-set Newton-MR methods for nonconvex optimization problems with bound constraints
Ernesto G. Birgin, Geovani N. Grapiglia, Diaulas S. Marcondes
This paper presents active-set methods for minimizing nonconvex twice-continuously differentiable functions subject to bound constraints. Within the faces of the feasible set, we e…
math.OC2025
Optimization of centroidal Voronoi tessellations
Ernesto G. Birgin, Juan S. C. Franco, Antoine Laurain
In this paper, we investigate the optimization of Centroidal Voronoi Tessellations (CVT) under geometric constraints. For this purpose, we minimize a linear combination of the stan…
math.OC2019
Complexity and performance of an Augmented Lagrangian algorithm
E. G. Birgin, J. M. Martínez
Algencan is a well established safeguarded Augmented Lagrangian algorithm introduced in [R. Andreani, E. G. Birgin, J. M. Mart\'ınez and M. L. Schuverdt, On Augmented Lagrangian me…