A CONSTRAINT QUALIFICATION FOR CONVEX PROGRAMMING 被引量：1

A CONSTRAINT QUALIFICATION FOR CONVEX PROGRAMMING

导出

摘要 This paper derives a new constraint qualification for nondifferential convex programming problem, by using the distance between the feasible set and the perturbed feasible sets. If the feasible sot is bounded, then this constraint qualification is weaker than Stater's constrains qualification. This paper derives a new constraint qualification for nondifferential convex programming problem, by using the distance between the feasible set and the perturbed feasible sets. If the feasible sot is bounded, then this constraint qualification is weaker than Stater's constrains qualification.

作者李师正

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2000年第4期362-365,共4页 应用数学学报（英文版）

基金 the National Natural Science Foundation of China (No.19671053).

关键词 Constraint qualification convex programmin4 Constraint qualification, convex programmin4

分类号 O1 [理学—基础数学]

引文网络
相关文献

参考文献9

1J. P. Penot.A new constraint qualification condition[J]. Journal of Optimization Theory and Applications . 1986 (3)
2Henry Wolkowicz.Geometry of optimality conditions and constraint qualifications: The convex case[J]. Mathematical Programming . 1980 (1)
3F. J. Gould,Jon W. Tolle.Geometry of optimality conditions and constraint qualifications[J]. Mathematical Programming . 1972 (1)
4H. Wolkowicz.Geometry of Optimality Condition and Constraint Qualifications, the Convex Case. Mathematical Programming . 1980
5Li Shizheng.Necessary and Sufficient Conditions for Regularity of Constraints in Convex Programming. Optimization . 1992
6Mangasarian,O.L. Nonlinear programming . 1969
7D.W. Peterson.A Review of Constraint Qualifications in Finite-dimensional Spaces. SIAM Review . 1973
8F.J. Gould,J.W. Tolle.Geometry of Optimality Conditions and Constraint Qualifications. Mathematical Programming . 1972
9J.P. Penot.A New Constraint Qualification Condition. Jounal of Optimization Theory and Applications . 1986

同被引文献7

1Oliver Stein.How to solve a semi-infinite optimization problem[J].European Journal of Operational Research.2012(2)
2Xiaodong Fan,Caozong Cheng,Haijun Wang.Density of stable convex semi-infinite vector optimization problems[J].Operations Research Letters.2011(2)
3M.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)
4Marco López,Georg Still.Semi-infinite programming[J].European Journal of Operational Research.2006(2)
5Alexander Shapiro.On duality theory of convex semi-infinite programming[J].Optimization.2005(6)
6L. Shizheng.Necessary and sufficient conditions for regularity of constraints in convex programming[J].Optimization.1992(4)
7张长温.半无限规划的正则性[J].应用数学学报,2008,31(2):284-289. 被引量：1

引证文献1

1张长温,李师正.凸半无限规划正则性的刻画[J].应用数学学报,2014,37(4):735-744.

1LIU Guoshan,HAN Jiye (Institute of Aoolied Mathematics, Academia Sinica, Beijing 100080, China).OPTIMALITY CONDITIONS FOR NONCONVEX BILEVEL PROGRAMMING PROBLEMS[J].Systems Science and Mathematical Sciences,1997,10(2):183-192. 被引量：2
2陈忠,费浦生.PARALLEL MULTIPLICATIVE ITERATIVE METHODS FOR CONVEX PROGRAMMING[J].Acta Mathematica Scientia,1997,17(2):205-210.
3KE Yi-fen,MA Chang-feng.An accelerated augmented Lagrangian method for linearly constrained convex programming with the rate of convergence O(1/k^2)[J].Applied Mathematics(A Journal of Chinese Universities),2017,32(1):117-126. 被引量：1
4任志乾,于宗乐,陶俊勇,林武强.Efficient Method for Accelerated Reliability Qualification Testing[J].Journal of Donghua University(English Edition),2014,31(6):882-885.
5SHI Liang-sheng,YANG Jin-zhong.QUALIFICATION OF UNCERTAINTY FOR SIMULATING SOLUTE TRANSPORT IN THE HETEROGENEOUS MEDIA WITH SPARSE GRID COLLOCATION METHOD[J].Journal of Hydrodynamics,2009,21(6):779-789. 被引量：4
6ZHANGMeng-qin,LUYu-cheng,ZHANGBin-yong,YUJin-hua.Qualification Testof Chemical Cleaning Steam GeneratorSecondary Side for QNPP[J].Annual Report of China Institute of Atomic Energy,1999(0):42-43.
7李师正.A NEW DUAL PROBLEM FOR NONDIFFERENTIABLE CONVEX PROGRAMMING[J].Acta Mathematicae Applicatae Sinica,1990,6(4):370-372.
8唐恒永,赵玉芳.AN ALGORITHM FOR L-SHAPED CONVEX PROGRAMMING[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2004,13(1):81-93.
9Naima Charhouni,Mohammed Sallaou,Abdelaziz Arbaoui.Qualification of Three Analytical Wake Models[J].Journal of Mechanics Engineering and Automation,2016,6(4):205-211. 被引量：2
10Liu Yuzheng.RMB 800,000 Cash Deposit:Game Between Qualification and Capital[J].China's Foreign Trade,2011(1):52-53.

Acta Mathematicae Applicatae Sinica

2000年第4期

浏览历史

内容加载中请稍等...

A CONSTRAINT QUALIFICATION FOR CONVEX PROGRAMMING 被引量：1

参考文献9

同被引文献7

引证文献1

相关作者

相关机构

相关主题

浏览历史