14 citations · 48 across the 28 of their papers we have counts for
4 papers · 1 filter
Schur functions for approximation problems
Nadezda Sukhorukova, Julien Ugon
In this paper we propose a new approach to least squares approximation problems. This approach is based on partitioning and Schur function. The nature of this approach is combinato…
The linkedness of cubical polytopes
Hoa Thi Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. The paper is concerned with the linkedness of the graphs of cubical polytopes. A gra…
Alternance Theorems and Chebyshev Splines Approximation
Jean-Pierre Crouzeix, Nadezda Sukhorukova, Julien Ugon
One of the purposes in this paper is to provide a better understanding of the alternance property which occurs in Chebyshev polynomial approximation and piecewise polynomial approx…
Connectivity of cubical polytopes
Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. We deal with the connectivity of the graphs of cubical polytopes. We first establish…