数学物理学报 ›› 2019, Vol. 39 ›› Issue (6): 1492-1498.

• 论文 • 上一篇    下一篇

求解变分不等式的一种双投影算法

胡雨贤()   

  1. 四川师范大学数学科学学院 成都 610066
  • 收稿日期:2019-01-03 出版日期:2019-12-26 发布日期:2019-12-28
  • 作者简介:胡雨贤, E-mail: 1257025189@qq.com
  • 基金资助:
    国家自然科学基金(11871359)

A Double Projection Method for Solving Variational Inequalities

Yuxian Hu()   

  1. Department of Mathematics, College of Science, Sichuan Normal University, Chengdu 610066
  • Received:2019-01-03 Online:2019-12-26 Published:2019-12-28
  • Supported by:
    NSFC(11871359)

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.

关键词: 变分不等式, 双投影算法, 超平面, 收敛

Abstract:

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. Furthermore, the convergence rate of the iteration sequence is established. Numerical experiments are reported in section 5.

Key words: Variational inequalities, Double projection method, Hyperplane, Convergence

中图分类号: 

  • O22