| 求解非线性互补问题的一个新的光滑牛顿法 |
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| 引用本文： | 陈争,马昌凤. 求解非线性互补问题的一个新的光滑牛顿法[J]. 平顶山学院学报, 2012, 27(2): 1-5 |
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| 作者姓名： | 陈争 马昌凤 |
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| 作者单位： | 1. 福建江夏学院信息系,福建福州,350108
2. 福建师范大学数学与计算机科学学院,福建福州,350007 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金 |
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| 摘 要： | 通过利用带惩罚项的FB函数将非线性互补问题转化为等价的光滑方程组.并在此基础上提出了一个求解P0-函数非线性互补问题的光滑牛顿法,同时给出了算法的全局收敛性以及局部二次收敛性结果.数值实验表明所提出的算法是有效的.
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| 关 键 词： | 非线性互补问题 光滑牛顿法 全局收敛性 局部二次收敛性 |
A New Smooth Newton Method for Nonlinear Complementarity Problems |
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| CHEN Zheng,MA Chang-feng. A New Smooth Newton Method for Nonlinear Complementarity Problems[J]. Journal of Pingdingshan University, 2012, 27(2): 1-5 |
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| Authors: | CHEN Zheng MA Chang-feng |
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| Affiliation: | 1.Department of Information,Fujian Jiangxia University,Fuzhou,Fujian 350108,China; 2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou,Fujian 350007,China) |
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| Abstract: | The nonlinear complementarity problem can be reformulated as the solution of the equivalent smoothness equations based on the FB-function of a penalized term.In this paper,we present a smooth Newton method for solving nonlinear complementarity problem with P0-function.Under mild conditions,we give the global and local quadratic convergence results of the proposed algorithm.Numerical experiments indicate that the proposed method is quite effective. |
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| Keywords: | nonlinear complementarity problem smooth Newton method global convergence quadratic convergence |
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