Some optimization reformulations of the extended linear complementarity problem

Some optimization reformulations of the extended linear complementarity problem

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Article ID: iaor20003701
Country: Netherlands
Volume: 13
Issue: 1/2/3
Start Page Number: 187
End Page Number: 200
Publication Date: Apr 1999
Journal: Computational Optimization and Applications
Authors:
Keywords: complementarity
Abstract:

We consider the extended linear complementarity problem (XLCP) introduced by Mangasarian and Pang, of which the horizontal and vertical linear complementarity problems are two special cases. We give some new sufficient conditions for every stationary point of the natural bilinear program associated with XLCP to be a solution of XLCP. We further propose some unconstrained and bound constrained reformulations for XLCP, and study the properties of their stationary points under assumptions similar to those for the bilinear program.

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