8 citations · 24 across the 17 of their papers we have counts for
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Lopsided Approximation of Amoebas
Jens Forsgård, Laura Felicia Matusevich, Nathan Mehlhop +1
The amoeba of a Laurent polynomial is the image of the corresponding hypersurface under the coordinatewise log absolute value map. In this article, we demonstrate that a theoretica…
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…
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…
Imaginary projections of polynomials
Thorsten Jörgens, Thorsten Theobald, Timo de Wolff
We introduce the imaginary projection of a multivariate polynomial as the projection of the variety of onto its imaginary part, $\mathcal{I}(f) \…