Ruijuan Liu, Li Dong, Jingyong Tang, "The Properties of a New Smoothing Function and a Modified Smoothing Newton Method for the P0-NCP," WSEAS Transactions on Systems, vol. 17, pp. 228-236, 2018, DOI:
Ruijuan Liu, Li Dong, Jingyong Tang. The Properties of a New Smoothing Function and a Modified Smoothing Newton Method for the P0-NCP.
WSEAS Transactions on Systems. 2018;17:228-236.
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 17, 2018
The Properties of a New Smoothing Function and a Modified Smoothing Newton Method for the P0-NCP
Authors: , ,
Abstract: In this paper we introduce a new smoothing function which has many nice properties. Based on this function, a smoothing Newton method is proposed to solve the nonlinear complementarity problem with P0-function (denoted by P0-NCP). Our method adopts a variant merit function. Moreover, we use a modified Newton equation to obtain the search direction. Under suitable assumptions, we show that the proposed method is globally and locally quadratically convergent. Some preliminary computational results are reported.
Keywords:
nonlinear complementarity problem, smoothing function, smoothing Newton method, global convergence, quadratic convergence
Pages: 228-236 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #25 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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