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math.OC2024
The link between -norm approximation and effective Positivstellensatze for the hypercube
Etienne de Klerk, Juan Vera Lizcano
The Schmüdgen's Positivstellensatz gives a certificate to verify positivity of a strictly positive polynomial on a compact, basic, semi-algebraic set $\mathbf{K} \subset \math…
math.OC2024
Optimization-Aided Construction of Multivariate Chebyshev Polynomials
Mareike Dressler, Simon Foucart, Mioara Joldes +3
This article is concerned with an extension of univariate Chebyshev polynomials of the first kind to the multivariate setting, where one chases best approximants to specific monomi…