Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares:

DOI10.1093/imrn/rnu202zbMath1387.13010arXiv1305.0642OpenAlexW2950684196MaRDI QIDQ3196585

Martina Juhnke-Kubitzke, Grigoriy Blekherman, Sadik Iliman

Publication date: 29 October 2015

Published in: Springer INdAM Series, International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0642

Mathematics Subject Classification ID

Quadratic programming (90C20) Semialgebraic sets and related spaces (14P10) Real polynomials: location of zeros (26C10) Ideals and multiplicative ideal theory in commutative rings (13A15) Real algebraic and real-analytic geometry (14P99)

Related Items (6)

Sums of squares and quadratic persistence on real projective varieties ⋮ Extremal cubics on the circle and the 2-sphere ⋮ Real zeros of SONC polynomials ⋮ An SOS counterexample to an inequality of symmetric functions ⋮ Sums of squares and varieties of minimal degree ⋮ Gap vectors of real projective varieties

Cites Work

• Nonnegative polynomials and sums of squares
• Algebraic boundaries of Hilbert’s SOS cones
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