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Volume 21, Issue 6
A New Smoothing Equations Approach to the Nonlinear Complementarity Problems

Chang-Feng Ma, Pu-Yan Nie & Guo-Ping Liang

J. Comp. Math., 21 (2003), pp. 747-758.

Published online: 2003-12

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  • Abstract

The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by construction a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm.

  • Keywords

Nonlinear complementarity problem, Smoothing Newton method, Global convergence, Superlinear convergence.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-747, author = {Ma , Chang-FengNie , Pu-Yan and Liang , Guo-Ping}, title = {A New Smoothing Equations Approach to the Nonlinear Complementarity Problems}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {6}, pages = {747--758}, abstract = {

The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by construction a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10232.html} }
TY - JOUR T1 - A New Smoothing Equations Approach to the Nonlinear Complementarity Problems AU - Ma , Chang-Feng AU - Nie , Pu-Yan AU - Liang , Guo-Ping JO - Journal of Computational Mathematics VL - 6 SP - 747 EP - 758 PY - 2003 DA - 2003/12 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10232.html KW - Nonlinear complementarity problem, Smoothing Newton method, Global convergence, Superlinear convergence. AB -

The nonlinear complementarity problem can be reformulated as a nonsmooth equation. In this paper we propose a new smoothing Newton algorithm for the solution of the nonlinear complementarity problem by construction a new smoothing approximation function. Global and local superlinear convergence results of the algorithm are obtained under suitable conditions. Numerical experiments confirm the good theoretical properties of the algorithm.

Chang-Feng Ma, Pu-Yan Nie & Guo-Ping Liang. (1970). A New Smoothing Equations Approach to the Nonlinear Complementarity Problems. Journal of Computational Mathematics. 21 (6). 747-758. doi:
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