文献类型：期刊文献

中文题名：TWO-STEP MODULUS-BASED SYNCHRONOUS MULTISPLITTING ITERATION METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS

英文题名：TWO-STEP MODULUS-BASED SYNCHRONOUS MULTISPLITTING ITERATION METHODS FOR LINEAR COMPLEMENTARITY PROBLEMS

作者：Lili Zhang[1,2]

第一作者：张丽丽;Lili Zhang

机构：[1]LSEC. ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;[2]School of Mathematics and Information Science, Henan University of Economics and Law,Zhengzhou 450046, China

第一机构：LSEC. ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

年份：2015

卷号：0

期号：1

起止页码：100-112

中文期刊名：计算数学：英文版

外文期刊名：Journal of Computational Mathematics

收录：Scopus;CSCD:【CSCD2015_2016】；PubMed;

语种：中文

中文关键词：多分裂迭代法;线性互补问题;模量;同步;对称系数;计算时间;收敛定理;收敛理论

外文关键词：Linear complementarity problem, Modulus-based method, Matrix multisplit-ring, Convergence.

摘要：为了在处理器之中减少通讯并且改进计算，为解决线性补充问题预定，我们在场一个二拍子的圆舞基于模量的同步 multisplitting 重复方法和相应对称的基于模量的 multisplitting 松驰方法。集中定理被证实系统矩阵是否是一个 H+ 矩阵，它改进存在集中理论。数字结果证明对称的基于模量的 multisplitting 松驰方法在实际实现是有效的。[从作者抽象]
To reduce the communication among processors and improve the computing time for solving linear complementarity problems, we present a two-step modulus-based syn- chronous multisplitting iteration method and the corresponding symmetric modulus-based multisplitting relaxation methods. The convergence theorems are established when the system matrix is an H＋-matrix, which improve the existing convergence theory. Numeri- cal results show that the symmetric modulus-based multisplitting relaxation methods are effective in actual implementation.