| 不可微凸规划问题Lagrange乘子的存在性与值函数的次可微性 |
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| 引用本文： | 龚六堂.不可微凸规划问题Lagrange乘子的存在性与值函数的次可微性[J].数学杂志,1998(3). |
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| 作者姓名： | 龚六堂 |
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| 作者单位： | 武汉大学 |
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| 摘 要： | 本文讨论了一类非光滑凸规划问题，给出了Ｌａｇｒａｎｇｅ乘子的存在性与值函数的次可微性的关系和乘子存在的充分条件。
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| 关 键 词： | 凸规划，Lagrange乘子，值函数，正则条件 |
EXISTENCE OF THE LAGRANGE MULTIPLIER AND THE SUBDIFFERENTIABILITY OF THE VALUE FUNCTION FOR THE NONSMOOTH CONVEX PROGRAM |
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| Gong Liutang.EXISTENCE OF THE LAGRANGE MULTIPLIER AND THE SUBDIFFERENTIABILITY OF THE VALUE FUNCTION FOR THE NONSMOOTH CONVEX PROGRAM[J].Journal of Mathematics,1998(3). |
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| Authors: | Gong Liutang |
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| Abstract: | In this paper, we discuss a class of nonsmooth convex program , give the relations between the existence of the Lagrange multiplier and the subdifferentiability of the value functio; also , present the sufficient con- ditions for the exiatence of the multiplier. |
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| Keywords: | convex program Lagrange multiplier value function regularoity |
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