Computational Optimization and Applications

, Volume 50, Issue 1, pp 49–73 | Cite as

A new class of penalized NCP-functions and its properties

  • J.-S. Chen
  • Z.-H. Huang
  • C.-Y. She


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.


NCP-function Penalized Bounded level sets Error bounds 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsNational Taiwan Normal UniversityTaipeiTaiwan
  2. 2.Department of MathematicsTianjin UniversityTianjinChina

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