| 积分型总极值方法的最优性条件 |
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| 引用本文： | 黄文杰,范莉霞,朱环宇.积分型总极值方法的最优性条件[J].应用数学与计算数学学报,2007,21(1):106-110. |
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| 作者姓名： | 黄文杰 范莉霞 朱环宇 |
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| 作者单位： | 1. 上海大学理学院,上海,200444
2. 浙江嘉兴学院数学系,嘉兴,314001 |
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| 摘 要： | 郑权提出了求总极值问题的积分—水平集的概念性算法,同时给出了最优性条件.本文构造函数F(x),讨论了该函数的性质,证明求解原问题等价于求解方程F(c)=0的根.在文中给出了相应的总极值存在的最优性条件.
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| 关 键 词： | 总极值问题 积分-水平集算法 牛顿法 最优性条件 |
| 修稿时间： | 2006-03-14 |
Optimality Condition of Integral Global Optimization Method |
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| Huang Wenjie,Fan Lixia,Zhu Huanyu.Optimality Condition of Integral Global Optimization Method[J].Communication on Applied Mathematics and Computation,2007,21(1):106-110. |
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| Authors: | Huang Wenjie Fan Lixia Zhu Huanyu |
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| Affiliation: | 1. School of Science, Shanghai University, Shanghai 200444, China; 2. Department of Mathematics, Jiaxing University, Jiaxing 314001 China |
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| Abstract: | Zheng Quan proposed a conceptual algorithm of integral global optimiza- tion,and gained the optimality condition.In this paper a function F(x)has been used and its properties are been studied.Then,we prove the solution of the optimal problem is equal to finding the set of the roots of equation F(c)=0.Finnally The optimality condition was given. |
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| Keywords: | global optimization integral-level set Newton method optimality condition |
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