| C1,1半定规划的二阶最优性条件 |
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| 引用本文： | 赵文会,高岩,戴天晟.C1,1半定规划的二阶最优性条件[J].运筹学学报,2008,12(3). |
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| 作者姓名： | 赵文会 高岩 戴天晟 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金，上海市高等学校青年科学基金，Doctor foundation of Shanghai University of Electric Power |
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| 摘 要： | 研究了C1,1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.
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| 关 键 词： | 运筹学 半定规化 最优性条件 1函数类 非光滑分析 拟可微分析 |
Second-order Optimality Conditions for C1,1 Semidefinite Programming |
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| Zhao Wenhui,Gao Yan,Dai Tiansheng.Second-order Optimality Conditions for C1,1 Semidefinite Programming[J].OR Transactions,2008,12(3). |
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| Authors: | Zhao Wenhui Gao Yan Dai Tiansheng |
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| Abstract: | In this paper we study C1,1 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. |
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| Keywords: | C1 Operations research semidefinite programming optimality conditions C1 1 functions nonsmooth analysis quasidifferential calculus |
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