解变分不等式的两种新的投影算法  

Two New Projection Algorithms for Solving Variational Inequalities

作　　者：郑莲[1] 苟清明[1] 

机构地区：[1]长江师范学院数学与计算机科学学院,重庆涪陵408100

出　　处：《西南师范大学学报（自然科学版）》2013年第8期25-28,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市教委重点资助项目(kj111309)

摘　　要：运用Armijo型线性搜寻程序构造了一类新的超平面.借助这些超平面,运用不同的投影方式,建立了一类新的二次投影算法和自适性投影算法.在较弱的条件下,这些算法是全局收敛的.数值试验证明这些新算法是有效的.A class of new hyperplanes are obtained by an Armijo-type linesearch procedure.By the hyperplanes and using different projection way,a class of new double projection algorithms and self-adaptive ones are proposed.They are proved to be globally convergent to a solution of the variational inequality problem under weak condition.Numerical experiments prove that new algorithms are valid.

关 键 词：变分不等式 二次投影算法 自适性投影算法 收敛性 

分 类 号：O177.91[理学—数学]