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math.OC2020
An algorithm for best generalised rational approximation of continuous functions
R. Díaz Millán, Nadezda Sukhorukova, Julien Ugon
The motivation of this paper is the development of an optimisation method for solving optimisation problems appearing in Chebyshev rational and generalised rational approximation p…
math.OC2019
Uniqueness of solutions in multivariate Chebyshev approximation problems
Vera Roshchina, Nadia Sukhorukova, Julien Ugon
We study the solution set to multivariate Chebyshev approximation problem, focussing on the ill-posed case when the uniqueness of solutions can not be established via strict polyno…