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Publication:2911833
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DOI10.1007/978-3-0348-0142-3_19zbMath1281.11031arXiv1008.4533OpenAlexW4231368143MaRDI QIDQ2911833

Bruce Reznick

Publication date: 3 September 2012

Published in: Notions of Positivity and the Geometry of Polynomials (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4533


zbMATH Keywords

sums of squaresconvex conespositive polynomialsconvex polynomialssums of higher powers


Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Forms of degree higher than two (11E76) Waring's problem and variants (11P05) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Real algebraic and real-analytic geometry (14P99)


Related Items (5)

Amoebas, nonnegative polynomials and sums of squares supported on circuits ⋮ Convexifying Positive Polynomials and Sums of Squares Approximation ⋮ DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization ⋮ On Sum of Squares Representation of Convex Forms and Generalized Cauchy--Schwarz Inequalities ⋮ On cones of nonnegative quartic forms




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