| 一类关于非光滑全局优化的双参数填充函数 |
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| 引用本文： | 张莹,徐应涛,钟以维.一类关于非光滑全局优化的双参数填充函数[J].应用数学,2008,21(3). |
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| 作者姓名： | 张莹 徐应涛 钟以维 |
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| 作者单位： | 1. 浙江师范大学数理与信息工程学院,浙江,金华,321004
2. 浙江广播电视大学三门学院,浙江,三门,317100 |
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| 摘 要： | 为在有界闭集上寻找非光滑函数的全局极小点,本文在文献12]的基础上提出了一个改进的填充函数定义,然后给出了一个新的双参数填充函数.讨论了所给填充函数的理论和数值性质并设计了相应的算法.分析表明所给填充函数对参数的选择优于相关文献中的结果.数值实验表明,本文所给出的新的填充函数算法是有效的.
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| 关 键 词： | 非光滑优化 全局优化 填充函数 广义梯度 方向导数 Nonsmooth optimization Global optimization Filled function Generalized gradient Directional derivative 非光滑 全局优化 双参数 填充函数 Global Optimization efficiency filled function method choice parameters better known results Theoretical numerical properties solution algorithm paper modified concept |
A Two-parameter New Filled Function for Nonsmooth Global Optimization |
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| ZHANG Ying,XU Ying-tao,ZHONG Yi-wei.A Two-parameter New Filled Function for Nonsmooth Global Optimization[J].Mathematica Applicata,2008,21(3). |
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| Authors: | ZHANG Ying XU Ying-tao ZHONG Yi-wei |
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| Abstract: | For finding a global minimizer of a nonsmooth function on a closed bounded domain,this paper gives a modified concept of a filled function based on 12].Then a two-parameter filled function is proposed.Theoretical and numerical properties of the proposed filled function are investigated and corresponding solution algorithm is proposed.The choice of the parameters is better than known results in literatures.Numerical results obtained indicate the efficiency of the proposed new filled function method. |
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| Keywords: | Nonsmooth optimization Global optimization Filled function Generalized gradient Directional derivative |
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