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《Mathematics in Practice and Theory》 2013-17
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A Globally Convergent Algorithm for Solving the K-K-T Points of a Class of Nonlinear Programming Problems

LIU Chun-hong;LI Jian-hua;Guang Hua College,Chang Chun University;College of Mathematics,Luoyang Normal University;  
In this paper,based on a set of unbounded conditions,we propose a efficient globally convergent algorithm for solving the K-K-T points of a class of nonlinear programming problems.Under suitable conditions,we give the convergence proof of the algorithm.Our results extend the previous ones in the Uterature to unbounded region and enlarge the solvable scope of the algorithm in this paper.
【Fund】: 河南省自然科学基金(122300410261)
【CateGory Index】: O221.2
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Chinese Journal Full-text Database 5 Hits
1 SU Meng-long (College of Mathematics Science,Luoyang Normal University,Luoyang,Henan,471000) L(?) Xian-rui (College of Mathematics,Jilin University,Changchun,130012);Solving a Class of Nonlinear Programming Problems via a Homotopy Continuation Method[J];东北数学(英文版);2008-03
2 LU Yong-jie,SONG Dai-cai(School of Science,Liaoning University of Petroleum & Chemical Technology,Fushun Liaoning 113001,P.R.China);A New Continuous Method for Solving Convex Programming Problems[J];Journal of Liaoning University of Petroleum & Chemical Technology;2006-01
3 LIN Zheng-hua+1, SONG Dai-cai+2, ZHAO Li-qin+1 (1.Dept. of Math.,Jilin Univ.,Changchun 130023, China;2.Dept. of Math.,Fushun Petroleum Institute,Fushun 113001,China);;A CONTINUATION METHOD FOR SOLVING THE K-K-T POINTS OF GENERAL NONCONVEX PROGRAMMING PROBLEMS[J];Applied Mathematics A Journal of Chinese Universities;2002-02
4 YU Wen-bo~1,FAN Shu-ping~2(1.Nanchang Branch of South Institute of Metallurage,Nanchang 330013,China;2.Department of Mathematics,Nanchang University,Nanchang 330047,China);THE DISCUSSION ABOUT THE SMOOTH ROUTE TRACKING SOLUTION TO THE NONLINEAR PROGRAMMING PROBLEM[J];Journal of Nanchang University(Natural Science);2003-04
5 Shen Peiping,Zhang Kecun,Gao Yuelin (School of Sciences, Xi′an Jiaotong University, Xi′an 710049, China);New Method for Nonconvex Nonlinear Programming with Box Constraints[J];Journal of Xi'an Jiaotong University;2002-10
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