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math.AG2023
Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits
Mareike Dressler, Salma Kuhlmann, Moritz Schick
In this article, we combine sums of squares (SOS) and sums of nonnegative circuit (SONC) forms, two independent nonnegativity certificates for real homogeneous polynomials. We cons…
math.AG2023
Intermediate Cones between the Cones of Positive Semidefinite Forms and Sums of Squares
Charu Goel, Sarah Hess, Salma Kuhlmann
The cone () of all positive semidefinite (PSD) real forms in variables of degree contains the subcone of those that…