80 citations · 232 across the 22 of their papers we have counts for
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math.AG2016★ 1 cited
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…
math.AG2016
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…