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most citedHow to Integrate a Polynomial over a Simplex

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math.OC2005★ 3 cited

FPTAS for mixed-integer polynomial optimization with a fixed number of variables

Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe +1

We show the existence of an FPTAS for the problem of maximizing a non-negative polynomial over mixed-integer sets in convex polytopes, when the number of variables is fixed.