FROM COMBINATORIAL OPTIMIZATION TO REAL ALGEBRAIC GEOMETRY AND BACK

Authors

  • Janez Povh Faculty of Information Studies in Novo mesto Ulica talcev 3, 8000 Novo mesto, Slovenia

Abstract

In this paper we explain the relations between combinatorial optimization and real algebraic geometry with a special focus to quadratic assignment problem. We demonstrate how to write a quadratic optimization problem over discrete feasible set as a linear optimization problem over the cone of completely positive matrices. The later formulation enables hierarchy of approximations which rely on results from polynomial optimization, a sub-field of real algebraic geometry.

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Published

2015-01-07

Issue

Volume 5 (2014), Number 2

Section

CRORR Journal Regular Issue

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