On reduced convex quadratic programming formulations of monotone linear complementarity problems

On reduced convex quadratic programming formulations of monotone linear complementarity problems

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Article ID: iaor2002963
Country: Germany
Volume: 90
Issue: 3
Start Page Number: 459
End Page Number: 473
Publication Date: Jan 2001
Journal: Mathematical Programming
Authors:
Keywords: complementarity
Abstract:

Techniques for transforming convex quadratic programs (QPs) into monotone linear complementarity problems (LCPs) and vice versa are well known. We describe a class of LCPs for which a reduced QP formulation – one that has fewer constraints than the ‘standard’ QP formulation – is available. We mention several instances of this class, including the known case in which the coefficient matrix in the LCP is symmetric.

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