| 关于Demyanov d—正则和cd—正则函数类的研究 |
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| 引用本文： | 高岩.关于Demyanov d—正则和cd—正则函数类的研究[J].大连理工大学学报,1999,39(3):348-351. |
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| 作者姓名： | 高岩 |
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| 作者单位： | 大连理工大学应用数学系 |
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| 摘 要： | Ｄｅｍｙａｎｏｖ分别对两类称为ｄ－正则和ｃｄ－正则的非光滑函数建立了Ｃｌａｒｋｅ广义梯度和拟微分之间的关系，证明了ｄ－正则函数和ｃｄ－正则函数的光滑复合分别是ｄ－正则函数和ｃｄ－正则函数，有限个非线性函数的极大值函数ｃｄ－正则函数。
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| 关 键 词： | 最佳化 拟微分 d正则函数 cd正则函数 |
On families of Demyanov's d regular function and cd regular function |
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| GAO\ Yan.On families of Demyanov's d regular function and cd regular function[J].Journal of Dalian University of Technology,1999,39(3):348-351. |
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| Authors: | GAO\ Yan |
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| Abstract: | Demyanov proposed the relations between Clarke generalized gradient and quasidifferential for a d regular function and a cd regular function respectively. In this paper, the following results are obtained: the smooth composition of d regular (or cd regular) functions is also d regular (or cd regular). The maximum of a finite number of affine functions is cd regular. |
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| Keywords: | optimization/nondifferentiable optimization quasidifferential Clarke generalized gradient |
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