14 citations · 34 across the 20 of their papers we have counts for
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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…
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…
Chebyshev multivariate polynomial approximation and point reduction procedure
Nadezda Sukhorukova, Julien Ugon, David Yost
The theory of Chebyshev (uniform) approximation for univariate polynomial and piecewise polynomial functions has been studied for decades. The optimality conditions are based on th…