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On the solution of NP-hard linear complementarity problems

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Abstract

In this paper two enumerative algorithms for the Linear Complementarity Problems (LCP) are discussed. These procedures exploit the equivalence of theLCP into a nonconvex quadratic and a bilinear programs. It is shown that these algorithms are efficient for processing NP-hardLCPs associated with reformulations of the Knapsack problem and should be recommended to solve difficultLCPs.

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Support for this author was provided by Instituto de Telecomunicações and byFCT under grant POCTI/35059/MAT/2000

Support for this author was provided byPRODEP under grant 4/5.3/PRODEP/00

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Júdice, J.J., Faustino, A.M. & Ribeiro, I.M. On the solution of NP-hard linear complementarity problems. Top 10, 125–145 (2002). https://doi.org/10.1007/BF02578944

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