On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with H_(+) -Matrices  

作　　者：Rui Li Yan Wang Junfeng Yin 

机构地区：[1]School of Mathematical Sciences,Tongji University,Shanghai 200092,China [2]College of Mathematics Physics and Information Engineering,Jiaxing University,Zhejiang 314001,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2018年第1期128-139,共12页高等学校计算数学学报（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(No.11271289,11701221);the Fundamental Research Funds for the Central Universities.

摘　　要：We propose the two-step modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems.The corresponding convergence the-ory is established when the system matrix is an H_(+)-matrix.Theoretical analysis gives the choice of parameter matrix involved based on the H-compatible splitting of the sys-tem matrix.Moreover,in actual implementation,the choices of iterative parameters for two-step modulus-based accelerated overrelaxation methods are studied.Numeri-cal experiments show that the method is efficient and further verify the convergence theorems.

关 键 词：Nonlinear complementarity problems two-step modulus-based matrix splitting meth-ods H_(+)-matrix H-compatible splitting 

分 类 号：O17[理学—数学]