Globally Convergent Interior Point Methods for Variational Inequalities in Unbounded Sets

Globally Convergent Interior Point Methods for Variational Inequalities in Unbounded Sets

下载PDF

导出

摘要 The finite-dimensional variational inequality problem (VIP) has been studied extensively in the literature because of its successful applications in many fields such as economics, transportation, regional science and operations research. Barker and Pang[1] have given an excellent survey of theories, methods and applications of VIPs.

作者徐庆于波冯果忱李荣华

出处《Northeastern Mathematical Journal》 CSCD 2002年第1期9-12,共4页 东北数学（英文版）

基金 The NNSF (10071031) of China and National 973 Project.

关键词 variational inequality homotopy method interior point method variational inequality, homotopy method, interior point method

分类号 O221.5 [理学—运筹学与控制论]

引文网络
相关文献

参考文献3

1Y. B. Zhao,J. Y. Han,H. D. Qi.Exceptional Families and Existence Theorems for Variational Inequality Problems[J].Journal of Optimization Theory and Applications.1999(2)
2Z. Lin,Y. Li.Homotopy Method for Solving Variational Inequalities[J].Journal of Optimization Theory and Applications.1999(1)
3Patrick T. Harker,Jong-Shi Pang.Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications[J].Mathematical Programming (-).1990(1-3)

1徐庆,于波.Homotopy Method for Non-convex Programming in Unbonded Set[J].Northeastern Mathematical Journal,2005,21(1):25-31. 被引量：4
2Gaohang Yu,Lutai Guan,Zengxin Wei.A Globally Convergent Polak-Ribiere-Polyak Conjugate Gradient Method with Armijo-Type Line Search[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2006,15(4):357-366. 被引量：11
3陈中文,韩继业,韩乔明.A GLOBALLY CONVERGENT TRUST REGION ALGORITHM FOR OPTIMIZATION WITH GENERAL CONSTRAINTS AND SIMPLE BOUNDS[J].Acta Mathematicae Applicatae Sinica,1999,15(4):425-432. 被引量：3
4戴彧虹,袁亚湘.A class of globally convergent conjugate gradient methods[J].Science China Mathematics,2003,46(2):251-261. 被引量：6
5XizYoushen,YeDazhen.An Algorithm for Solving a Class of Transportation Problems[J].The Journal of China Universities of Posts and Telecommunications,1997,4(2):72-75.
6游兆永,陈小君.A CONTINUATION-INTERVAL METHOD FOR NONLINEAR SYSTEMS[J].Chinese Science Bulletin,1988,33(4):270-273.
7Ding-guo Pu (Department of Mathematics, Tongji University, Shanghai 200331, China).GLOBALLY CONVERGENT INEXACT GENERALIZED NEWTON METHODS WITH DECREASING NORM OF THE GRADIENT[J].Journal of Computational Mathematics,2002,20(3):289-300.
8田蔚文,张连生,董炳华,濮定国.AN ALGORITHM TO MINIMIZED LOCALLY LIPSCHITZIAN FUNCTION[J].Numerical Mathematics A Journal of Chinese Universities(English Series),1996,5(1):31-48.
9J.B.ROSEN,薛国良.A GLOBALLY CONVERGENT ALGORITHM FOR THE EUCLIDEAN MULTIPLICITY LOCATION PROBLEM[J].Acta Mathematicae Applicatae Sinica,1992,8(4):357-366.
10郑士明.A SIMPLE ITERATIVE PROCEDURE FOR FINDING ALL ZEROS OF A POLYNOMIAL WITHOUT REPEATED EVALUATION[J].Numerical Mathematics A Journal of Chinese Universities(English Series),1996,5(2):234-240.

Northeastern Mathematical Journal

2002年第1期

浏览历史

内容加载中请稍等...

Globally Convergent Interior Point Methods for Variational Inequalities in Unbounded Sets

参考文献3

相关作者

相关机构

相关主题

浏览历史