Test Sets for Nonnegativity of Polynomials Invariant under a Finite Reflection Group

Jose Acevedo, Mauricio Velasco

A set $S\subset {\mathbb{R}}^n$ is a nonnegativity witness for a set $U$ of real homogeneous polynomials if $F$ in $U$ is nonnegative on ${\mathbb{R}}^n$ if and only if it is nonnegati…