| 求解P0-NCP的一步光滑牛顿法 |
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| 引用本文： | 张丽娜,谢亚君,马昌凤.求解P0-NCP的一步光滑牛顿法[J].西华大学学报(自然科学版),2011(2):60-63. |
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| 作者姓名： | 张丽娜 谢亚君 马昌凤 |
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| 作者单位： | 福建师范大学数学与计算机科学学院;福建江夏学院信息系 |
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| 基金项目： | 国家自然科学基金(11071041);福建省自然科学资金(2009J01002);福建江夏学院项目(2010C044) |
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| 摘 要： | 在将非线性互补问题转化为求解非光滑方程组的基础上,利用一个新的光滑NCP函数,构造新的价值函数,建立了求解P0函数的一步光滑牛顿法。在一定的条件下,证明了该算法的全局收敛性。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 光滑牛顿法 P0函数 全局收敛性 |
One-step Smoothing Newton Method for Solving Complementarity Problem with P0-NCP |
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| ZHANG Li-na,XIE Ya-jun,MA Chang-feng.One-step Smoothing Newton Method for Solving Complementarity Problem with P0-NCP[J].Journal of Xihua University:Natural Science Edition,2011(2):60-63. |
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| Authors: | ZHANG Li-na XIE Ya-jun MA Chang-feng |
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| Affiliation: | 1 (1.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007 China; 2.Information Department,Fujian jiangxia University,Fuzhou 350108 China) |
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| Abstract: | A nonlinear complementarity problem(denoted by(NCP(F))) can be reformulated as a nonsmooth equation.Based on a new smoothing function,the problem is approximated by a new smooth equation.The authors present a one-step smoothing Newton method for solving complementarity problem with P0-function.The algorithm is proved to be convergent globally.Some numerical results show that this method is effective. |
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| Keywords: | nonlinear complementarity problem smoothing Newton method P0-function global convergence |
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