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Finding the minimum of a multivariate real polynomial is a well-known hard problem with various applications.
Geometric programming: Theory and application
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How good are convex hull algorithms?
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There are significantly more nonegative polynomials than sums of squares
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Lower bounds for a polynomial on a basic closed semialgebraic set using geometric programming, 2013
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SOSTOOLS: Sum of squares optimization toolbox for MATLAB
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Amoebas, nonnegative polynomials and sums of squares supported on circuits
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Relative Entropy Relaxations for Signomial Optimization
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ECOS: An SOCP solver for embedded systems
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CVXPY: A Python-embedded modeling language for convex optimization
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Amoebas, nonnegative polynomials and sums of squares supported on circuits
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Lower bounds for polynomials with simplex newton polytopes based on geometric programming
S. Iliman and T. de Wolff · 2016
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M. Dressler, S. Iliman, and T. de Wolff · 2017
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A Positivstellensatz for Sums of Nonnegative Circuit Polynomials
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POEM: Effective methods in polynomial optimization, version 0.1.1.0
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