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求解变分不等式的一种双投影算法 被引量:2

A Double Projection Method for Solving Variational Inequalities
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摘要 该文在有限维欧式空间中提出一种新的双投影算法,其给定的超平面与以往的不同,在给予适当的条件假设下,建立算法的收敛性并作出收敛率分析.最后给出数值实验结果. In this paper,we introduce a new method for solving variational inequalities.The method uses a new hyperplane which differs from known ones.Under some mild conditions,we prove that the sequence produced by our method globally converges to a solution.Further-more,the convergence rate of the iteration sequence is established.Numerical experiments are reported in section 5.
作者 胡雨贤 Hu Yuxian(Department of Mathematics,College of Science,Sichuan Normal University,Chengdu 610066)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2019年第6期1492-1498,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(11871359)~~
关键词 变分不等式 双投影算法 超平面 收敛 Variational inequalities Double projection method Hyperplane Convergence
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