| 关于集合\partial_uf(X)的结构与计算 |
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| 引用本文： | 杨庆之.关于集合\partial_uf(X)的结构与计算[J].系统科学与数学,1995,15(4):289-294. |
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| 作者姓名： | 杨庆之 |
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| 作者单位： | 中国科学院应用数学研究所 |
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| 摘 要： | 集会\partial_ｕｆ（Ｘ）在非光滑规划的最优性判定条件中起着重要作用。本文探讨了ｕｆ（ｘ）的结构，给出了计算方案及与函数正则性的关系，最后给出了主要定理的几个应用实例．
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| 关 键 词： | 非光滑规划 广义梯度 正则性 |
ON THE STRVCTURE AND COMPUTATION OF THE SET \partial_uf(x) |
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| YANG QING-ZHI.ON THE STRVCTURE AND COMPUTATION OF THE SET \partial_uf(x)[J].Journal of Systems Science and Mathematical Sciences,1995,15(4):289-294. |
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| Authors: | YANG QING-ZHI |
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| Institution: | Inetitute of Applied Mathematics,Academia Silica,Beijing 100080 |
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| Abstract: | The set \partial_uf(x)plaes an important role in the optimal criterion of nonsmooth programming.This paper looks into its structure and gives a method to compute it and gets a relation between it and the regularity of a function. Filially several applications of the main theoretical results are given. |
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| Keywords: | Nonsmooth programming generalized gradient regularity |
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