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函数的次微分性质

郭兴明

郭兴明. 函数的次微分性质[J]. 应用数学和力学, 1996, 17(5): 427-432.
引用本文: 郭兴明. 函数的次微分性质[J]. 应用数学和力学, 1996, 17(5): 427-432.
Guo Xingming. Characteristics of Subdifferentials of Functions[J]. Applied Mathematics and Mechanics, 1996, 17(5): 427-432.
Citation: Guo Xingming. Characteristics of Subdifferentials of Functions[J]. Applied Mathematics and Mechanics, 1996, 17(5): 427-432.

函数的次微分性质

Characteristics of Subdifferentials of Functions

  • 摘要: 本文给出了函数的Fenchel次微分、Frechet次微分,Hadamard次微分,Gateaux次微分的一些重要性质,并对函数的性质尤其是凸性给出其次微分刻画。
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    [7] R.T.Rockafellar.Generalized directional derivatives and subgradients of nonconvex functions,Canad.J.Math.,(1980).257-280.
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    [13] V.F.Demyanov and L.V.Vasiler.Nondifferentiable Optimization.Inc.Publications Division,New Fork(1985).
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出版历程
  • 收稿日期:  1995-06-16
  • 刊出日期:  1996-05-15

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