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A Semidefinite Hierarchy for Disjointly Constrained Multilinear Programming
[article]
2016
arXiv
pre-print
Disjointly constrained multilinear programming concerns the problem of maximizing a multilinear function on the product of finitely many disjoint polyhedra. While maximizing a linear function on a polytope (linear programming) is known to be solvable in polynomial time, even bilinear programming is NP-hard. Based on a reformulation of the problem in terms of sum-of-squares polynomials, we study a hierarchy of semidefinite relaxations to the problem. It follows from the general theory that the
arXiv:1603.03634v1
fatcat:happcknkmzacfbb4q2c774zxky