| 参数凸二次规划的线性稳定性 |
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| 引用本文： | 王明征,夏尊铨,张立卫.参数凸二次规划的线性稳定性[J].运筹学学报,2003,7(1):11-18. |
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| 作者姓名： | 王明征 夏尊铨 张立卫 |
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| 作者单位： | 大连理工大学应用数学系,大连,116024 |
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| 基金项目： | by The Founds of Young Scientists of China,No.10001007,The Research Foundations of of DUT No.3004-888N01 and Research Foundations of Young Teachers of DUT.2003. |
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| 摘 要： | 本文研究参数凸二次规划的最优解集的稳定性。首先给出参数数学规划的方向线性稳定的定义，然后利用集值映射的微分理论证明线性约束参数凸二次规划是线性稳定的。
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| 关 键 词： | 参数凸二次规划 线性稳定性 集值映射 方向导数 Hausdorff度量 最优解 可微性 |
On Linear Stability of Parametric Convex Quadratic Programming |
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| MINGZHENG WANG ZUNQUAN XIA LIWEI ZHANG.On Linear Stability of Parametric Convex Quadratic Programming[J].OR Transactions,2003,7(1):11-18. |
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| Authors: | MINGZHENG WANG ZUNQUAN XIA LIWEI ZHANG |
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| Abstract: | We consider the optimal set mapping S(x) associated with a parametric convex quadratic programming problem depending on a parameter vector x. In this paper, we give a definition of directionally linear stability for parametric mathematical programming problems, and prove that a class of linear constrained parametric convex quadratic programming is linear stable by means of the differentiable theory, in the sense of Tyurin (1965) and Banks & Jacobs (1970), of set-valued mappings. |
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| Keywords: | Set-valued mapping directional derivative linear stable convex quadratic programming |
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