| 光滑方程组逼近双障碍问题 |
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| 引用本文： | 何郁波.光滑方程组逼近双障碍问题[J].桂林电子科技大学学报,2006,26(6):488-491. |
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| 作者姓名： | 何郁波 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金
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广西自然科学基金 |
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| 摘 要： | 将双障碍问题的求解转化成对其KKT系统的求解,本文对于双障碍问题KKT系统的求解采用先将KKT系统转化成一个非光滑的非线性方程组,然后构造新的光滑函数来逼近非线性方程组的方法.文中算法采用光滑牛顿算法,全局收敛性得到了证明,数值试验表明算法是有效的.
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| 关 键 词： | 双障碍问题 光滑牛顿法 全局收敛 Jacobian相容性 |
| 文章编号： | 1673-808X（2006）06-0488-04 |
| 收稿时间： | 2006-09-11 |
| 修稿时间： | 2006-09-11 |
A smoothing equations approach to the bi-obstacle problems |
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| HE Yu-bo.A smoothing equations approach to the bi-obstacle problems[J].Journal of Guilin Institute of Electronic Technology,2006,26(6):488-491. |
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| Authors: | HE Yu-bo |
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| Affiliation: | School of Mathematics and Computetional Science, Guilin University of Electronic Technology, Guilin 541004, China |
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| Abstract: | Bi-obstacle problem can be reformulated as it's KKT system.In this paper we first convert KKT system into a nonsmooth nonlinear equation and then construct a new smoothing approximation function for the nonsmooth nonlinear equation.We propose a smoothing Newton algorithm for the solution of bi-obstacle problem.Global convergence of the algorithm is obtained under suitable conditions.Numerical experiments confirm the good theoretical properties of the algorithm. |
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| Keywords: | bi-obstacle problem smoothing Newton method global convergence Jacobian consistency |
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