C^(1，1)半定规划的二阶最优性条件(英文)  

Second-order Optimality Conditions for C^(1,1) Semidefinite Programming

作　　者：赵文会[1] 高岩[2] 戴天晟[2] 

机构地区：[1]上海电力学院管文学院,上海200090 [2]上海理工大学管理学院,上海200093

出　　处：《运筹学学报》2008年第3期1-12,共12页Operations Research Transactions

基　　金：National Science foundation of China(10671126);Shanghai Higher Education Outstanding Young Professor(sdl07038);Doctor foundation of Shanghai University of Electric Power(F06028).

摘　　要：研究了C^(1,1)函数类的半定规划问题,其中的目标函数是连续可微的,其梯度是拟可微的.利用拟可微分析分别给出了二阶必要条件和二阶充分条件.In this paper we study C^1,1 semidefinite programming problems, where the objective functions are continuous differentiable and their gradients are quasidifferentiable. Second-order necessary and sufficient optimality conditions in terms of quasidifferential are derived.

关 键 词：运筹学 半定规化 最优性条件 C^1 1函数类 非光滑分析 拟可微分析 

分 类 号：O221[理学—运筹学与控制论] O172.2[理学—数学]