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math.AG2016
A Positivstellensatz for Sums of Nonnegative Circuit Polynomials
Mareike Dressler, Sadik Iliman, Timo de Wolff
Recently, the second and the third author developed sums of nonnegative circuit polynomials (SONC) as a new certificate of nonnegativity for real polynomials, which is independent…
math.OC2016
An Approach to Constrained Polynomial Optimization via Nonnegative Circuit Polynomials and Geometric Programming
Mareike Dressler, Sadik Iliman, Timo de Wolff
In this article we combine two developments in polynomial optimization. On the one hand, we consider nonnegativity certificates based on sums of nonnegative circuit polynomials, wh…