15 citations · 47 across the 26 of their papers we have counts for
3 papers · 2 filters
Gram Spectrahedra
Lynn Chua, Daniel Plaumann, Rainer Sinn +1
Representations of nonnegative polynomials as sums of squares are central to real algebraic geometry and the subject of active research. The sum-of-squares representations of a giv…
Do Sums of Squares Dream of Free Resolutions?
Grigoriy Blekherman, Rainer Sinn, Mauricio Velasco
We associate to a real projective variety two convex cones which are fundamental in real algebraic geometry: the cone of quadratic forms nonnegative on , and the cone…
Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree
Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn +1
A celebrated result by Hilbert says that every real nonnegative ternary quartic is a sum of three squares. We show more generally that every nonnegative quadratic form on a real pr…