关于Demyanov d-正则和cd-正则函数类的研究  

On families of Demyanov's d regular function and cd regular function

作　　者：高岩[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《大连理工大学学报》1999年第3期348-351,共4页Journal of Dalian University of Technology

基　　金：辽宁省博士起动基金

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。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.

关 键 词：最佳化 拟微分 d正则函数 cd正则函数 

分 类 号：O224[理学—运筹学与控制论]