| 稳定的Lagrangian对偶性 |
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| 引用本文： | 黄龙光,司清亮.稳定的Lagrangian对偶性[J].河南师范大学学报(自然科学版),2009,37(4). |
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| 作者姓名： | 黄龙光 司清亮 |
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| 作者单位： | 1. 集美大学,理学院,福建,厦门,361021
2. 焦作师范高等专科学校,数学系,河南,焦作,454000 |
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| 摘 要： | 通过建立稳定的Farkas型引理的等价刻画,给出锥凸优化问题有关稳定的Lagrangian对偶性的充分必要条件,得到共轭函数的上图,函数的次微分和对偶锥及其集为弱*-闭等之间的相互关系.
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| 关 键 词： | C-凸映射 w*-闭 对偶锥 |
Stable Lagrangian Duality |
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| HUANG Long-guang,SI Qing-liang.Stable Lagrangian Duality[J].Journal of Henan Normal University(Natural Science),2009,37(4). |
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| Authors: | HUANG Long-guang SI Qing-liang |
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| Abstract: | It presents the necessary and sufficient condition of stable lagrangian duality in cone-convex optimization problems by establishing equivalent characterization for stable Farkas' lemma.The interrelationships among the epigraph of conjugate function,subdifferential of function,dual cone and w*-closed of set are shown. |
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| Keywords: | Cone-convex mapping w*-closed dual cone |
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