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| 凸集支撑函数的性质及其应用 | |
| 引用本文： | 刘普寅.凸集支撑函数的性质及其应用[J].国防科技大学学报,1990,12(3):25-31. |
| 作者姓名： | 刘普寅 |
| 作者单位： | 国防科技大学系统工程与应用数学系 |
| 摘 要： | 本文讨论一个凸集C 的支撑函数的几个有用性质,并把这些性质应用于对函数次微分的研究,得到有关函数次微分的几个有趣结果。 |
| 关 键 词： | 凸集 支撑函数 次微分 闭凸函数 指示函数 共扼函数 次梯度 |
| 收稿时间： | 1989/1/17 0:00:00 |
The Properties of the Support Functions of Convex Sets and Their Applications |
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| Liu Puyin.The Properties of the Support Functions of Convex Sets and Their Applications[J].Journal of National University of Defense Technology,1990,12(3):25-31. | |
| Authors: | Liu Puyin |
| Institution: | Department of Applied Mathematics and System Engineering |
| Abstract: | A few useful properties of the support function of the convex set C arediscussed in the paper.They are also applied to the study of the subdifferentialof a function.Some interesting results about the subdifferential of a functionare obtained. |
| Keywords: | convex set support function subdifferential closed convex function indicator function conjugate functions subgradient |
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