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半无限规划的正则性 被引量:1

Regularity of Semi-infinite Programming
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摘要 本文讨论了半无限凸规划的Lagrange正则性,即最优解适合鞍点准则的充要条件.文中进而研究了正则点及约束函数的正则性. This paper considers Lagrangian regularity of semi-infinite convex programming, i.e., the necessary and sufficient conditions for the optimum solutions satisfying sad- dle point criteria. Further more, the regularities of a point and the constraint functions are presented.
作者 张长温
机构地区 济南大学理学院
出处 《应用数学学报》 CSCD 北大核心 2008年第2期284-289,共6页 Acta Mathematicae Applicatae Sinica
基金 黑龙江省自然科学基金(A-04-11)资助项目.
关键词 无限规划 鞍点准则 支撑超平面 上图 次微分 semi-infinite programming saddle point criteria support hyerplane epigraph subdifferential
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参考文献7

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同被引文献7

  • 1李师正.A CONSTRAINT QUALIFICATION FOR CONVEX PROGRAMMING[J].Acta Mathematicae Applicatae Sinica,2000,16(4):362-365. 被引量:1
  • 2Oliver Stein.How to solve a semi-infinite optimization problem[J].European Journal of Operational Research.2012(2)
  • 3Xiaodong Fan,Caozong Cheng,Haijun Wang.Density of stable convex semi-infinite vector optimization problems[J].Operations Research Letters.2011(2)
  • 4M.J. Cánovas,A.L. Dontchev,M.A. López,J. Parra.Isolated calmness of solution mappings in convex semi-infinite optimization[J].Journal of Mathematical Analysis and Applications.2008(2)
  • 5Marco López,Georg Still.Semi-infinite programming[J].European Journal of Operational Research.2006(2)
  • 6Alexander Shapiro.On duality theory of convex semi-infinite programming[J].Optimization.2005(6)
  • 7L. Shizheng.Necessary and sufficient conditions for regularity of constraints in convex programming[J].Optimization.1992(4)

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