| 求解非线性互补问题的一个雅可比光滑化方法 |
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| 引用本文： | 范斌,马昌凤.求解非线性互补问题的一个雅可比光滑化方法[J].福建师范大学学报(自然科学版),2012,28(3):26-31. |
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| 作者姓名： | 范斌 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,福建福州,350007 |
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| 摘 要： | 提出了一个新的NCP光滑逼近函数,并利用这一光滑逼近函数建立一个求解非线性互补问题的雅可比光滑化方法.在适当假设下证明了算法的全局和局部超线性收敛性.数值实验结果表明所提出算法是有效的.
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| 关 键 词： | 非线性互补问题 光滑逼近函数 雅可比光滑化方法 全局收敛性 二次收敛性 |
A New Jacobian Smoothing Method for Solving Nonlinear Complementarity Problem |
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| FAN Bin
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MA Chang-feng.A New Jacobian Smoothing Method for Solving Nonlinear Complementarity Problem[J].Journal of Fujian Teachers University(Natural Science),2012,28(3):26-31. |
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| Authors: | FAN Bin MA Chang-feng |
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| Institution: | (School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China) |
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| Abstract: | One develops a new smoothing approximation function of nonlinear complementarity problem(denoted by NCP).A new Jacobian smoothing method is proposed for solving NCP based on the new smoothing function.The proposed algorithm is globally and locally quadratically convergent under suitable conditions.Some numerical results show that this method is effective. |
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| Keywords: | nonlinear complementarity problem smoothing approximation functioin Jacobian smoothing method global convergence quadratic convergence |
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