| 一类非光滑优化的区间填充函数法 |
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| 引用本文： | 孙靖.一类非光滑优化的区间填充函数法[J].淮海工学院学报,2005,14(4):6-8. |
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| 作者姓名： | 孙靖 |
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| 作者单位： | 淮海工学院数理科学系,江苏连云港222005 |
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| 基金项目： | 淮海工学院自然科学基金资助项目（Z2004029） |
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| 摘 要： | 利用区间优化方法对非线性函数比较容易处理及算法的可靠性、收敛性均有保证的特点，用区间方法讨论了目标函数是弱半光滑的最小化问题．给出了填充函数的区间扩张，并提出了求解该非光滑优化问题的区间填充函数算法．定理表明该算法是收敛的、有效的．
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| 关 键 词： | 非光滑优化 填充函数 区间方法 |
| 文章编号： | 1672-6685(2005)04-0006-03 |
| 收稿时间： | 2005-04-26 |
| 修稿时间： | 2005-06-28 |
Interval Filled Function Method for Nonsmooth Optimization |
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| SUN Jing.Interval Filled Function Method for Nonsmooth Optimization[J].Journal of Huaihai Institute of Technology:Natural Sciences Edition,2005,14(4):6-8. |
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| Authors: | SUN Jing |
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| Affiliation: | Dept. of Mathematics and Physics, Huaihai Institute of Technology, Lianyungang 222005, China |
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| Abstract: | The interval optimization method can deal with non-linear functions easily and its relia-bility and convergence of the algorithm can be guaranteed. This paper adopts the interval method to discuss the minimum problem whose objective function is week semi-smooth, h gives an interval enclosure for filled function and presents an interval filled function algorithm to solve this nonsmooth optimization, Theorems show that the algorithm is eonvergent and efficient. |
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| Keywords: | nonsmooth optimization filled function interval method |
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