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正则Lipschitz规划的一阶最优性条件和最弱约束规格
引用本文:胡林. 正则Lipschitz规划的一阶最优性条件和最弱约束规格[J]. 北京理工大学学报, 1993, 0(Z1)
作者姓名:胡林
作者单位:北京理工大学应用数学系 北京
摘    要:
讨论了正则的Lipschitz规划的一阶最优性条件,其主要研究工具是局部Lipschitz函数的广义梯度.给出了无等式约束的正则Lipschitz规划的一阶约束规格,并且证明了这种约束规格是最弱的。

关 键 词:非线性规划  正则化/Lipschitz规划  广义梯度  最优性条件  约束规格

First-Order Optimality Conditions and Weakest Constraint Qualifications for Regular Lipschitz Programming Problems
Hu Lin. First-Order Optimality Conditions and Weakest Constraint Qualifications for Regular Lipschitz Programming Problems[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 1993, 0(Z1)
Authors:Hu Lin
Abstract:
Gives a discussion on the first-order optimality conditions for regular Lipschitz programming problems. The main tool applied in this study is the concept of generalized gradient of locally Lipschitz function.First-order constraint qualifications are given which are weakest for a point to be a local minimizer for regular Lipschitz programming problems without equality constraints.
Keywords:non-linear programming  regularization/Lipschitz programming  generalized gradient  optimality condition  constraint qualification
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