求解强单调变分不等式组的一种自适应投影算法  

A Self-adaption Projection Algorithm for System of Strongly Monotone Variational Inequalities

作　　者：郑海燕[1] 赵世莲[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《绵阳师范学院学报》2013年第2期17-21,共5页Journal of Mianyang Teachers＇ College

基　　金：教育部科学技术重点项目(211163);四川省青年科技基金(2012JQ0032)

摘　　要：自适应投影算法是求解强单调变分不等式的一种重要方法,在自然科学中的诸多领域有着广泛的应用.利用自适应投影算法来求解强单调变分不等式组.从理论上证明了这种算法的收敛性,结果推广了He,Yang,Meng和Han的结论.Self - adaption projection algorithm is an attractive method for solving strongly monotone variational inequalities, it can be applied to a large number of fields of natural science. In this paper, the system of strongly monotone variational inequalities by using a selfadaptive projection method is studied. Theoretically, the convergence of this algorithm is proved. The results presented in this paper extend corresponding results of He, Yang, Meng and Han.

关 键 词：变分不等式组 投影算法 全局收敛性 

分 类 号：O221[理学—运筹学与控制论]