| 求解非线性互补问题的自适应光滑信赖域方法 |
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| 引用本文： | 董建新,王希云.求解非线性互补问题的自适应光滑信赖域方法[J].西南民族学院学报(自然科学版),2009,35(5):973-977. |
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| 作者姓名： | 董建新 王希云 |
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| 作者单位： | 太原科技大学应用科学学院,太原,030024 |
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| 摘 要： | 本文利用Fischer-Burmeister函数将非线性互补问题转化为非线性方程组，再利用Kanzow光滑逼迫函数构造光滑算予，将NCP问题转化为优化问题，然后给出了一种求解非线性互补问题的自适应光滑信赖域方法，并证明了该算法在一定条件下的全局收敛性．
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| 关 键 词： | 非线性互补问题 自适应 光滑 信赖域 全局收敛性 |
A smoothing self-trust region method for the NCP(F) |
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| DONG Jian-xin,WANG Xi-yun.A smoothing self-trust region method for the NCP(F)[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(5):973-977. |
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| Authors: | DONG Jian-xin WANG Xi-yun |
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| Institution: | (School of Applied Sciences, Taiyuan University of Science and Technology, Taiyuan 030024, P.R.C. ) |
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| Abstract: | By using the Fischer-Burmeister function to reformulate the nonlinear complementarity problem（NCP） as a system of semismooth equations and using Kanzow＇s smooth approximation function to construct the smooth operator, we propose a smoothing self-trust region method for nonlinear complementarity problem and prove that this algorithm is globally convergent. |
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| Keywords: | nonlinear complementarity problem smoothing self-trust region method global convergence |
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