RESTRICTED ADDITIVE SCHWARZ METHOD FOR A KIND OF NONLINEAR COMPLEMENTARITY PROBLEM  

作　　者：Hongru Xu Kekun Huang Shuilian Xie Zhe Sun 

机构地区：[1]School of Mathematics, Jiaying University, Meizhou 514015, China [2]College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China

出　　处：《Journal of Computational Mathematics》2014年第5期547-559,共13页计算数学（英文）

基　　金：The authors would like to thank the anonymous referees for their valuable suggestions and comments, which improved the paper greatly. The work was supported by Natural Science Foundation of Guangdong Province,China （Grant No.S2012040007993） and Educational Commission of Guangdong Province, China （Grant No. 2012LYM_0122）, NNSF of China （Grand No.11126147）, NNSF of China （Grand No.11201197） and NNSF of China （Grand No.11271069）.

摘　　要：In this paper, a new Schwarz method called restricted additive Schwarz method （RAS） is presented and analyzed for a kind of nonlinear complementarity problem （NCP）. The method is proved to be convergent by using weighted maximum norm. Besides, the effect of overlap on RAS is also considered. Some preliminary numerical results are reported to compare the performance of RAS and other known methods for NCP.In this paper, a new Schwarz method called restricted additive Schwarz method （RAS） is presented and analyzed for a kind of nonlinear complementarity problem （NCP）. The method is proved to be convergent by using weighted maximum norm. Besides, the effect of overlap on RAS is also considered. Some preliminary numerical results are reported to compare the performance of RAS and other known methods for NCP.

关 键 词：Nonlinear complementarity problem Nonlinear source term Restricted addi-tive Schwarz method Weighted max norm. 

分 类 号：O221.2[理学—运筹学与控制论] O175[理学—数学]