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Properties of a family of merit functions and a merit function method for the NCP

โœ Scribed by Li-yong Lu; Zheng-hai Huang; Sheng-long Hu

Book ID
107500967
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2010
Tongue
English
Weight
191 KB
Volume
25
Category
Article
ISSN
1005-1031

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๐Ÿ“œ SIMILAR VOLUMES

Properties of a family of generalized NC
Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems
โœ Sheng-Long Hu; Zheng-Hai Huang; Jein-Shan Chen ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 804 KB

In this paper, we propose a new family of NCP-functions and the corresponding merit functions, which are the generalization of some popular NCP-functions and the related merit functions. We show that the new NCP-functions and the corresponding merit functions possess a system of favorite properties.

The convergence of a one-step smoothing
The convergence of a one-step smoothing Newton method for -NCP based on a new smoothing NCP-function
โœ Changfeng Ma; Xiaohong Chen ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

The nonlinear complementarity problem (denoted by NCP(F)) can be reformulated as the solution of a nonsmooth system of equations. By introducing a new smoothing NCP-function, the problem is approximated by a family of parameterized smooth equations. A one-step smoothing Newton method is proposed for