| 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.[点击复制] |
| 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[点击复制] |
|
| |
|
|
| 本文已被：浏览 6525次 下载 7602次 |
| 凸集支撑函数的性质及其应用 |
| 刘普寅 |
|
(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 |
| DOI： |
| 投稿日期：1989-01-17 |
| 基金项目: |
|
| The Properties of the Support Functions of Convex Sets and Their Applications |
| Liu Puyin |
|
(Department of Applied Mathematics and System Engineering)
|
| Abstract: |
| A few useful properties of the support function of the convex set C are discussed in the paper. They are also applied to the study of the subdifferential of a function. Some interesting results about the subdifferential of a function are obtained. |
| Keywords: convex set,support function,subdifferential,closed convex function,indicator function,conjugate functions,subgradient |
|
|
