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arXiv · 1601.04118

Approximating the maximum of a polynomial over a polytope: Handelman decomposition and continuous generating functions

Jesús De Loera·Brandon Dutra·Matthias Köppe
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Abstract

We investigate a way to approximate the maximum of a polynomial over a polytopal region by using Handelman's polynomial decomposition and continuous multivariate generating functions. The maximization problem is NP-hard, but our approximation methods will run in polynomial time when the dimension is fixed.

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Jesús De Loera, Brandon Dutra, Matthias Köppe. 2016-01-16. Approximating the maximum of a polynomial over a polytope: Handelman decomposition and continuous generating functions. https://arxiv.org/abs/1601.04118

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