| 求解非线性互补问题的雅可比光滑牛顿法 |
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| 引用本文： | 何婵,马昌凤. 求解非线性互补问题的雅可比光滑牛顿法[J]. 福建师范大学学报(自然科学版), 2009, 25(1) |
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| 作者姓名： | 何婵 马昌凤 |
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| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院,广西,桂林,541004
2. 福建师范大学数学与计算机科学学院,福建,福州,350108 |
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| 基金项目： | 国家自然科学基金，广西自然科学基金 |
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| 摘 要： | 针对非线性互补问题,提出了基于其等价半光滑方程的雅可比光滑牛顿算法,并在适当条件下获得了全局收敛性结果.数值实验表明,该算法是有效的.
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| 关 键 词： | 非线性互补问题 雅可比光滑牛顿法 全局收敛性 |
A Jacobian Smoothing Newton Method for Solving Nonlinear Complementarity Problems |
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| HE Chan,MA Chang-feng. A Jacobian Smoothing Newton Method for Solving Nonlinear Complementarity Problems[J]. Journal of Fujian Teachers University(Natural Science), 2009, 25(1) |
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| Authors: | HE Chan MA Chang-feng |
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| Affiliation: | 1.School of Mathematics and Computing Science;Guilin University of Electronic Technology;Guilin 541004;China;2.School of Mathematics and Computer Science;Fujian Normal University;Fuzhou 350108;China |
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| Abstract: | A Jacobian smoothing Newton algorithm for the solution of the nonlinear complementarity problems is proposed.The algorithm is based on a reformulation of a semismooth system of equations. Global convergence results of the proposed method are obtained. Numerical experiments confirm the good theoretical properties of the algorithm. |
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| Keywords: | nonlinear complementarity problem Jacobian smoothing Newton method global convergence |
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