Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Piecewise Polyhedral Formulations for a Multilinear Term   In this paper, we present a mixed-integer linear programming (MILP)
formulation of a piecewise, polyhedral relaxation (PPR) of a multilinear term
using its convex hull representation. Based on the solution of the PPR, we also
present a MILP formulation whose solutions are feasible for nonconvex,
multilinear equations. We then present computational results showing the
effectiveness of proposed formulations on instances of standard benchmarks of
nonlinear programs (NLPs) with multilinear terms and compare the proposed
formulation with a traditional formulation that is built by recursively
relaxing bilinear groupings of multilinear terms.

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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int