重庆理工大学学报（自然科学版）2013，Vol.27Issue(6)：116-121,6.DOI:10.3969/j.issn.1674-8425(z).2013.06.025
结构型单调变分不等式的新邻近点交替方向法
A New Proximal Alternating Direction Method for Structure Monotone Variational Inequalities
摘要
Abstract
To solve monotone varaiational inequalities with separable structure,this paper used the iterates generated by the proximal alternating direction method to design a descent direction,and an appropriate step size along this descent direction is identified.By refining the descent direction in the descent step,and selecting the corresponding optimal step sizes,this article presents a new proximal alternating direction.Convergence of the new method is proved under mild assumptions.关键词
变分不等式/交替方向法/邻近点算法/下降方向Key words
variational inequalities / alternating direction method/ proximal point method /descent direction分类
数理科学引用本文复制引用
王艳艳..结构型单调变分不等式的新邻近点交替方向法[J].重庆理工大学学报（自然科学版）,2013,27(6):116-121,6.基金项目
国家自然科学基金资助项目(10871216,11171362) （10871216,11171362）
