1 citations · 1 across the 1 of their papers we have counts for
4 papers
On the Structure of Higher Order Voronoi Cells
Juan Enrique Martínez-Legaz, Vera Roshchina, Maxim Todorov
The classic Voronoi cells can be generalized to a higher-order version by considering the cells of points for which a given -element subset of the set of sites consists of the $…
Non-polyhedral extensions of the Frank-and-Wolfe theorem
J. E. Martinez-Legaz, D. Noll, W. Sosa
In 1956 Marguerite Frank and Paul Wolfe proved that a quadratic function which is bounded below on a polyhedron attains its infimum on . In this work we search for larger cl…
An additive subfamily of enlargements of a maximally monotone operator
Regina Burachik, Juan Enrique Martínez-Legaz, Mahboubeh Rezaie +1
We introduce a subfamily of additive enlargements of a maximally monotone operator. Our definition is inspired by the early work of Simon Fitzpatrick. These enlargements constitute…
New results on q-positivity
Y. García Ramos, J. E. Martínez-Legaz, S. Simons
In this paper we discuss symmetrically self-dual spaces, which are simply real vector spaces with a symmetric bilinear form. Certain subsets of the space will be called q-positive,…