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

Published 16 Jan 2016 in math.OC | (1601.04118v2)

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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