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A linear programming reformulation of the standard quadratic optimization problem

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Author Info
Klerk, E. de
Pasechnik, D.V. (Tilburg University, Center for Economic Research)

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Abstract

The problem of minimizing a quadratic form over the standard simplex is known as the standard quadratic optimization problem (SQO). It is NPhard, and contains the maximum stable set problem in graphs as a special case. In this note we show that the SQO problem may be reformulated as an (exponentially sized) linear program.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 24.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:200524

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. NESTEROV, Yu, 2003. "Random walk in a simplex and quadratic optimization over convex polytopes," CORE Discussion Papers 2003071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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