2 citations · 2 across the 3 of their papers we have counts for
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math.AG2014
Gap vectors of real projective varieties
Grigoriy Blekherman, Sadik Iliman, Martina Juhnke-Kubitzke +1
Let be a totally real, non-degenerate, projective variety and let be a generic set of points. Let be the cone of nonnegativ…
math.OC2014
Lower Bounds for Polynomials with Simplex Newton Polytopes Based on Geometric Programming
Sadik Iliman, Timo de Wolff
In this article, we propose a geometric programming method in order to compute lower bounds for real polynomials. We provide new sufficient conditions for polynomials to be nonnega…
math.AG2014
Amoebas, Nonnegative Polynomials and Sums of Squares Supported on Circuits
Sadik Iliman, Timo de Wolff
We completely characterize sections of the cones of nonnegative polynomials, convex polynomials and sums of squares with polynomials supported on circuits, a genuine class of spars…