3 papers
math.OC2026
Elastically safeguarded augmented Lagrangian methods
Ernesto G. Birgin, Alberto De Marchi, Patrick Mehlitz
We investigate, theoretically and numerically, a class of elastically safeguarded augmented Lagrangian methods for nonlinear optimization problems with inequality and equality cons…
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…