| OPTIMIZATION AND DUALITY OF CONE-D.C. PROGRAMMING |
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| 引用本文： | Yin Zhiwen,Li Yuanxi. OPTIMIZATION AND DUALITY OF CONE-D.C. PROGRAMMING[J]. 数学年刊B辑(英文版), 1995, 16(4): 501-510 |
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| 作者姓名： | Yin Zhiwen Li Yuanxi |
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| 作者单位： | Department of Statistics and Operations Research，Fudan University，Shanghai 200433，China. |
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| 摘 要： | ＯＰＴＩＭＩＺＡＴＩＯＮＡＮＤＤＵＡＬＩＴＹＯＦＣＯＮＥ－Ｄ．Ｃ．ＰＲＯＧＲＡＭＭＩＮＧ￥ＹＩＮＺＨＩＷＥＮ；ＬＩＹＵＡＮＸＩ（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓａｎｄＯｐｅｒａｔｉｏｎｓＲｅｓｅａｒｃｈ，ＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ，Ｓ...
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| 关 键 词： | ?directional derivate ε-subgradient Cone-d.c. function Optimality condition Duality theorem. |
| 收稿时间： | 1993-05-04 |
OPTIMIZATION AND DUALITY OF CONE-D.C. PROGRAMMING |
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| Yin Zhiwen and Li Yuanxi. OPTIMIZATION AND DUALITY OF CONE-D.C. PROGRAMMING[J]. Chinese Annals of Mathematics,Series B, 1995, 16(4): 501-510 |
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| Authors: | Yin Zhiwen and Li Yuanxi |
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| Affiliation: | Department of Statistics and OperationsResearch, Fudan University, Shanghai 200433, China. and Department of Statistics and OperationsResearch, Fudan University, Shanghai 200433, China. |
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| Abstract: | This paper gives the definitions and someproperties of$varepsilon$-directional derivate and $varepsilon$-subgrad-newlineients of cone-convexfunction. From them, the optimality conditions of local and globaloptimalpoint of unconstrained cone-d.c. programming are gained. At last,the dualitytheorems of this programming are presented. |
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| Keywords: | $varepsilon$-directional derivate $varepsilon$-subgradient Cone-d.c. function Optimality condition Duality theorem. |
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