基于块分裂求解线性互补问题的新模系同步多分裂方法（英文）  

New modulus-based synchronous multisplitting methods based on block splittingfor linear complementarity problems

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)

机构地区：[1]郑州航空工业管理学院理学院,河南郑州450015 [2]河南师范大学数学与信息科学学院,河南新乡453007 [3]航空经济发展河南省协同创新中心,河南郑州450015 [4]郑州航空工业管理学院管理工程学院,河南郑州450015 [5]郑州航空工业管理学院公共艺术教学部,河南郑州450015

出　　处：《浙江大学学报（理学版）》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)

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.

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 

分 类 号：O241[理学—计算数学]