摘要
在已有算法的基础上,进一步研究了基于松弛模系同步块多分裂多参数的迭代法.当系统矩阵为块H+-矩阵时,给出了较弱条件下的收敛结果.此结果为最佳松弛参数的选择提供了保障.
Based on the existing algorithms,we further study relaxed modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problem.Furthermore,we give the weaker convergence results of our new method in this paper when the system matrix is a block H+-matrix.Therefore,our results provide a guarantee for the optimal relaxation parameters.
作者
张理涛
张国辉
赵莹超
ZHANG Litao;ZHANG Guohui;ZHAO Yinchao(College of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,Henan Province,China;Henan Province Synergy Innovation Center of Aviation Economic Development,Zhengzhou 450015,China;School of Management Engineering, Zhengzhou University of Aeronautics,Zhengzhou 450015,China;Public Art Teaching,Zhengzhon University of Aeronautics,Zhengzhou 450015,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2018年第6期684-693,共10页
Journal of Zhejiang University（Science Edition）
基金
Supported by the National Natural Science Foundation of China(11226337,11501525)
Excellent Youth Foundation of Science&Technology Innovation of Henan Province(184100510001,184100510004)
Science&Technology Innovation Talents in Universities of Henan Province(16HASTIT040,17HASTIT012)
Aeronautical Science Foundation of China(2016ZG55019,2017ZD55014)
关键词
松弛模系法
线性互补问题
块分裂
块H+矩阵
同步多分裂
relaxed modulus-based method
linear complementarity problem
block splitting
block H+-matrix
synchronous multisplitting
作者简介
ZHANG Litao(1980—),ORCID:http://orcid.org/0000-0002-6087-8611,male,doctor,associate professor,the fields of interest are numerical algebra and scientific computing,E-mail:litaozhang@163.com.
