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math.AG2013
Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares
Grigoriy Blekherman, Sadik Iliman, Martina Kubitzke
We study dimensions of the faces of the cone of nonnegative polynomials and the cone of sums of squares; we show that there are dimensional differences between corresponding faces…
math.AG2013★ 2 cited
Low Dimensional Test Sets for Nonnegativity of Even Symmetric Forms
Sadik Iliman, Timo de Wolff
An important theorem by Timofte states that nonnegativity of real -variate symmetric polynomials of degree can be decided at test sets given by all points with at most $\lfl…