| 非线性互补问题的光滑逼近法 |
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| 引用本文： | 张修梅,蒋利华. 非线性互补问题的光滑逼近法[J]. 安徽大学学报(自然科学版), 2012, 36(2): 24-28 |
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| 作者姓名： | 张修梅 蒋利华 |
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| 作者单位： | 1. 上海交通大学数学系,上海,200240
2. 安徽理工大学理学院,安徽淮南,232001 |
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| 基金项目： | 国家自然科学基金资助项目(10971137) |
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| 摘 要： | 基于非线性互补问题(NCP(F))的等价变形,构造非线性互补问题的一个光滑逼近函数,把非线性互补问题等价变形为非线性方程组问题加以求解,建立了求解非线性互补问题的一个光滑逼近算法,并在一定条件下证明该算法的全局收敛性.
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| 关 键 词： | 非线性互补问题(NCP(F)) 光滑逼近 全局收敛性 |
A smoothing approximation algorithm for nonlinear complementarity problems |
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| ZHANG Xiu-mei , JIANG Li-hua. A smoothing approximation algorithm for nonlinear complementarity problems[J]. Journal of Anhui University(Natural Sciences), 2012, 36(2): 24-28 |
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| Authors: | ZHANG Xiu-mei JIANG Li-hua |
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| Affiliation: | 1.Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China; 2.Department of Mathematics and Physics,Anhui University of Science and Technology,Huainan 232001,China) |
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| Abstract: | In order to solve nonlinear complementarity problems,we constructed a smoothing approximation function.Then we found a smoothing approximation algorithm for nonlinear complementarity problems based on its equivalent nonsmooth equations.Under suitable conditions,we got the global convergence of the algorithm. |
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| Keywords: | nonlinear complementarity problem NCP(F) smoothing approximation global convergence |
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