|
|||||
|
|
| NLP问题解的二阶条件和Lipschitz连续性 | |
| 引用本文： | 余仲华.NLP问题解的二阶条件和Lipschitz连续性[J].北京理工大学学报,1990(Z3). |
| 作者姓名： | 余仲华 |
| 作者单位： | 北京理工大学应用数学系 |
| 摘 要： | 假定所讨论的数学规划问题其函数连续可微且有Lipschitz连续的梯度函数运用Clarke广义Jacobi矩阵,给出了非线性规划(NLP)问题解的二阶最优性必要条件二阶最优性充分条件及非线性参数规划问题解的Lipschitz连续性质,推广了王金德Fiacco的主要结果。 |
| 关 键 词： | 非线性规划/LipschitZ连续函数 Clarke广义Jacobi矩阵 非线性参数规划 严格局部最优解 孤立局部最优解 二阶最优性条件 |
The Second-Order Optimality Conditions and Lipschitzian Property of Solution for a Class of Nonlinear Programs |
|
| Yu Zhonghua.The Second-Order Optimality Conditions and Lipschitzian Property of Solution for a Class of Nonlinear Programs[J].Journal of Beijing Institute of Technology(Natural Science Edition),1990(Z3). | |
| Authors: | Yu Zhonghua |
| Institution: | Department of Applied Mathematics |
| Abstract: | It is assumed that functions in mathematical programs arc continuously differentiable and have Lipschitzian continuous gradient functions . By use of Clarke's generalized Jacobian matrix, the second -order efficient optimality condition, second-order sufficient optimality condition of minimizing solution for nonlinear programs , and the Lipschitzian continuous property of local minimizing solution for nonlinear parametric programs are given . Then the chief results of Wang Jinde and Fiacco are extended . |
| Keywords: | nonlinear programming / Lipschitzian continuous functions Clarke's generalized Jacobian matrix nonlinear parametric programming strictly local minimizing solution isolated local minimizing solution second-order optimality condition |
| 本文献已被 CNKI 等数据库收录！ | |