A new class of penalized NCP‐functions and its properties

A new class of penalized NCP‐functions and its properties

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Article ID: iaor20117972
Volume: 50
Issue: 1
Start Page Number: 49
End Page Number: 73
Publication Date: Sep 2011
Journal: Computational Optimization and Applications
Authors: , ,
Keywords: programming: linear
Abstract:

In this paper, we consider a class of penalized NCP‐functions, which includes several existing well‐known NCP‐functions as special cases. The merit function induced by this class of NCP‐functions is shown to have bounded level sets and provide error bounds under mild conditions. A derivative free algorithm is also proposed, its global convergence is proved and numerical performance compared with those based on some existing NCP‐functions is reported.

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