青岛大学学报（自然科学版）2017，Vol.30Issue(4)：1-4,9,5.DOI:10.3969/j.issn.1006-1037.2017.11.01
求解单调变分不等式的投影算法
Projection Method for Solving Monotone Variational Inequality Problems
摘要
Abstract
A projection algorithm with a new search direction for solving variational inequality problems is proposed.The search direction is beneficial for algorithm not converges to zero when the iterative points produced by the algorithm converges to the optimal solution and makes the distance from each iterative points to the optimal solution is strictly monotonically decreasing.It is proved that the iteration sequence converges to a solution of variational inequality globally under the conditions that function is monotone and continuous.Some numerical experiments are reported to illustrate the efficiency of the method.关键词
单调/变分不等式/投影算法Key words
monotone/variational inequality/projection method分类
数理科学引用本文复制引用
谷云霞,田志远,纪洪霞..求解单调变分不等式的投影算法[J].青岛大学学报（自然科学版）,2017,30(4):1-4,9,5.基金项目
国家自然科学基金(批准号:11601252)资助 （批准号:11601252）
山东省自然科学基金(批准号:ZR2016AM29)资助. （批准号:ZR2016AM29）
