The Dual Cone Of Sums Of Non-Negative Circuit Polynomials

Mareike Dressler,Helen Naumann,Thorsten Theobald

ADVANCES IN GEOMETRY（2021）

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摘要

For a non-empty, finite subset A subset of N-0(n) let C-sonc(A) is an element of R[x(1),..., x(n)] be the cone of sums of non-negative circuit polynomials with support A. We derive a representation of the dual cone (C-sonc(A))* and deduce an optimality criterion for sums of non-negative circuit polynomials in polynomial optimization.

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关键词

Positive polynomials, non-negative circuit polynomials, dual cone, polynomial optimization

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