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cs.SC2022
Exact SOHS decompositions of trigonometric univariate polynomials with Gaussian coefficients
Victor Magron, Mohab Safey El Din, Markus Schweighofer +1
Certifying the positivity of trigonometric polynomials is of first importance for design problems in discrete-time signal processing. It is well known from the Riesz-Fejéz spectral…
cs.SC2021
Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients
Victor Magron, Mohab Safey El Din, Trung-Hieu Vu
Assessing non-negativity of multivariate polynomials over the reals, through the computation of {\em certificates of non-negativity}, is a topical issue in polynomial optimization.…