| uv-理论在一类半无限最小化问题的应用 |
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| 引用本文： | 王炜,夏尊铨,庞丽萍.uv-理论在一类半无限最小化问题的应用[J].运筹学学报,2004,8(3):29-38. |
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| 作者姓名： | 王炜 夏尊铨 庞丽萍 |
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| 作者单位： | DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024,China |
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| 基金项目： | WassupportedbytheStateFoundationsofPh.D.UnitsfromtheMinistryofEducation(20020141013)
NSFofChina(10001007)
ResearchFoundationofDUT(2002-03),3004888No1 |
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| 摘 要： | Lemarechal,Oustry和Sagastizabal(2000)提出的uv分解理论为解决非光滑函数的高阶展开提供了一种新的途径，并将此理论应用于研究具有有限个约束的非线性规划的精确罚函数．本文将这一研究推广到具有无限约束的一类半无限规划的问题上，并给出了与这类最小化问题的精确罚函数的U-Lagrange函数有关的某些结果．
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| 关 键 词： | uv-分解 半无限规划 非光滑函数 u-Lagrange函数 罚函数法 凸分析 |
An Application of the uv-Theory to a Class of Semi-Infinite Minimization Problems |
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| Abstract.An Application of the uv-Theory to a Class of Semi-Infinite Minimization Problems[J].OR Transactions,2004,8(3):29-38. |
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| Authors: | Abstract |
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| Abstract: | In this paper, some results on the uv-decomposition of an exact penalty function in NLP, due to Lemarechal, Oustry and Sagastizabal (2000), are extended to a class of semi-infinite minimization problems. Some properties of the uv-decomposition and u-Lagrangian of an exact penalty function of a semi-infinite minimization problem are given. |
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| Keywords: | OR nonsmooth optimization uv-decomposition u-Lagrangian penalty function semi-infinite programming convex analysis |
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