| 函数凸扩张存在的特征 |
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| 引用本文： | 林国琛.函数凸扩张存在的特征[J].厦门理工学院学报,2010,18(1):21-23. |
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| 作者姓名： | 林国琛 |
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| 作者单位： | 厦门理工学院数理系,福建,厦门,361024 |
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| 基金项目： | 厦门理工学院科技项目(YKJ08014R) |
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| 摘 要： | 将凸函数次微分的概念稍加改变,引入一般函数次微分并借助凸化方法得到函数的凸扩张存在的充分必要条件,借助凸分析原理对优化问题展开了研究.
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| 关 键 词： | 次微分 凸化函数 凸扩张 |
Characteristic of Existence of Convex Extensions of Functions |
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| LIN Guo-chen.Characteristic of Existence of Convex Extensions of Functions[J].Journal of Xiamen University of Technology,2010,18(1):21-23. |
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| Authors: | LIN Guo-chen |
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| Institution: | Department of Mathematics and Physics/a>;Xiamen University of Technology/a>;Xiamen 361024/a>;China |
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| Abstract: | In the paper,we change the notion of subdifferential of convex functions slightly,introduce a new subdifferential of general functions and obtain sufficient and necessary conditions of existence of convex extensions by convexification,we can then study optimization problems by convex analysis. |
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| Keywords: | subdifferential convexification function convex extension |
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