极大值函数的二阶方向导数  

Second order directional derivatives for max type functions

作　　者：孟凡文[1] 高岩[1] 夏尊铨[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》1998年第6期621-624,共4页Journal of Dalian University of Technology

摘　　要：对有限个光滑函数的极大值函数引入了一有效指标集，利用线性不等式组的相容性给出了这一有效指标集的生成算法，从而得到这一类非光滑函数Ｃｈａｎｅｙ二阶广义方向导数的精确计算方法．A class of nonsmooth functions being the piecewise maximum of finite smooth functions is investigated. Effective index sets of max type functions are introduced. According to the compatibility of a linear inequality system, an algorithm for determining the effective index set of a max type function is proposed. An exact formula of generalized second order directional derivatives in the sense of Chaney for max type functions is also given.

关 键 词：非线性规划 广义导数 极大值函数 方向导数 

分 类 号：O221.2[理学—运筹学与控制论]