求解非线性互补问题的一类加速的两步模基矩阵分裂迭代法  

Accelerated two-step modulus-based matrix splitting iteration method to solve the nonlinear complementarity problem

作　　者：程冰[1] 王广彬 谭福平[2] CHENG Bing;WANG Guangbin;TAN Fuping(School of Science and Information,Qingdao Agricultural University,Qingdao 266109,Shandong,China;College of Sciences,Shanghai University,Shanghai 20044,China)

机构地区：[1]青岛农业大学理学与信息科学学院,山东青岛266109 [2]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2022年第6期1106-1112,共7页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(12171307);山东高校科技计划资助项目(J16LI04);青岛农业大学高层次人才资助项目(1120068)。

摘　　要：建立了求解非线性互补问题的一类加速的两步模基矩阵分裂迭代法.当系数矩阵是具有正对角元的H-矩阵时,证明了此方法是收敛的.数值实验表明,该方法是行之有效的.In this paper,we construct an accelerated two-step modulus-based matrix splitting iteration method based on multiple splittings of the system matrix for the nonlinear complementarity problem.And we prove its convergence when the system matrix is an H-matrix with positive diagonal elements.Numerical experiments show that the proposed method is efficient.

关 键 词：两步迭代法 矩阵分裂 非线性互补 

分 类 号：O241.8[理学—计算数学]