一类拟可微函数在一点处可微性判别及在不可微优化中的应用  

Determining Differentiability at a Point fora Class of Quasidifferentiable Functions and Applications

作　　者：高岩 

出　　处：《东北重型机械学院学报》1997年第3期263-267,共5页

基　　金：机械工业部跨世纪人才专项基金资助课题

摘　　要：对于拟微分为有限点集凸包的拟可微函数 ,给出了判别其在任一点处是否可微的一种算法 .将此算法作为不可微优化的子算法 ,可得到不可微优化的一种可执行算法 .特别指出 ,所讨论的函数类包含光滑函数的极大值复合函数 .An algorithm for determining the Gteax differentiability for a class of quasidifferentiable functions whose quasidifferentials are convex hulls of finite number of points is presented. If the algorithm is regarded as a subalgorithm embedded into a certain algorithm minimizing this class of nondifferentiable functions, one can obtain an implementable algorithm minimizing this class of nondifferentiable functions. It is pointed out that the algorithm is particularly sutiable for smooth composition of max-type functions.

关 键 词：不可微优化 拟可微函数 极大值 可微性判别 

分 类 号：O224[理学—运筹学与控制论]