A power penalty method for linear complementarity problems

A power penalty method for linear complementarity problems

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Article ID: iaor20091395
Country: Netherlands
Volume: 36
Issue: 2
Start Page Number: 211
End Page Number: 214
Publication Date: Mar 2008
Journal: Operations Research Letters
Authors: ,
Keywords: linear complementarity
Abstract:

We propose a power penalty approach to a linear complementarity problem (LCP) in ℝn based on approximating the LCP by a nonlinear equation. We prove that the solution to this equation converges to that of the LCP at an exponential rate when the penalty parameter tends to infinity.

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