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单调变分不等式问题求解的一个迭代方法 被引量:1

A Iterative Method for Solving Monotone Variational Inequality Problems
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摘要 研究单调变分不等式问题求解的一个迭代方法.对任何初始点,方法通过求解强单调变分不等式子问题产生的迭代序列均收敛于问题的解.在适当条件下给出了方法的收敛率. A iterative method for solving monotone variational inequality problems is proposed. By solving strongly monotone variational inequality subproblems, this method generates a iterative sequence which, for any starting point, convergents to a solution of the variational inequality problem. Under suitable conditions,the convergence the of the method is given.
出处 《云南大学学报(自然科学版)》 CAS CSCD 1998年第S2期283-286,共4页 Journal of Yunnan University(Natural Sciences Edition)
关键词 变分不等式问题 迭代方法 收敛性 variational inequality problem, iterative method, convergence
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参考文献3

  • 1Kouichi Taji,Masao Fukushima,Toshihide Ibaraki. A globally convergent Newton method for solving strongly monotone variational inequalities[J] 1993,Mathematical Programming(1-3):369~383
  • 2Masao Fukushima. Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems[J] 1992,Mathematical Programming(1-3):99~110
  • 3Patrick T. Harker,Jong-Shi Pang. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications[J] 1990,Mathematical Programming(1-3):161~220

同被引文献4

  • 1郭喜,陈国庆,金莲.变分不等式的一种光滑化牛顿法[J].内蒙古大学学报(自然科学版),2006,37(1):13-18. 被引量:2
  • 2Gao Mingzhe.On Heisenberg's inequality[J].Math.Anal.Appl,1999(234):727-734.
  • 3YUE Li.Self-adaptive Operator Splitting Methods for General Monotone Variational Inequalities[J].Jourmal of Qufu Normal University,2006(1):72-76.
  • 4王森.关于WFS的收敛性[J].山西大学学报:自然科学版,1983,(3):21-23.

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