| 非线性互补问题的水平值估计算法 |
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| 引用本文： | 嵇萍,吴军荣,施翔,王乐,黎建辉.非线性互补问题的水平值估计算法[J].应用数学与计算数学学报,2008,22(2). |
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| 作者姓名： | 嵇萍 吴军荣 施翔 王乐 黎建辉 |
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| 作者单位： | 上海大学理学院数学系,上海,200444 |
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| 摘 要： | 本文研究非线性互补问题（NCP）的求解算法，先将NCP转化为约束全局优化问题（CGOP），然后直接移植求解问题（CGOP）的水平值估计算法^4,5]来求解问题（NCP）．文章证明了算法对于NCP是收敛的，数值实验说明了算法的有效性．
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| 关 键 词： | 非线性互补问题 约束全局优化问题 水平值估计算法 |
A Level-value Estimation Method for Nonlinear Complementarity Problem |
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| Ji Ping,Wu Junrong,Shi Xiang,Wang Le,Li Jianhui.A Level-value Estimation Method for Nonlinear Complementarity Problem[J].Communication on Applied Mathematics and Computation,2008,22(2). |
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| Authors: | Ji Ping Wu Junrong Shi Xiang Wang Le Li Jianhui |
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| Institution: | Ji Ping~1 Wu Junrong~1 Shi Xiang~1 Wang Le~1 Li Jianhui~1 Department of Mathematics,Shanghai University,Shanghai 200444,China |
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| Abstract: | We study the method for solving the nonlinear complementarity problem in this paper.Firstly,we reformulate the NCP as a constrained global optimization problem(CGOP),then we can solve the NCP by using the level-value estimation method for GCOP which is proposed in4,5].We prove that the algorithm is convergence for finding the solutions of NCP,and we illustrate it is efficientibility by the numerical experiments. |
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| Keywords: | nonlinear complementarity problem constrained global optimization the level-value estimation method |
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