求解增广线性系统的局部多分裂迭代法(英文)  

A Local-multisplitting Iterative Method for Solving the Augmented Linear Systems

作　　者：温瑞萍[1] 高月琴[1] 任孚鲛[1] 

机构地区：[1]太原师范学院数学系,山西太原030012

出　　处：《应用数学》2013年第2期380-388,共9页Mathematica Applicata

基　　金：Supported by the NSF of China (11071184);the NSF of Shanxi Province (20120110156);the Science and Technology Development Project of Higher Education in Shanxi (20101112)

摘　　要：为了在高性能计算机上求解增广线性系统,基于并行多分裂的两种技巧,本文提出一种局部多分裂迭代格式,给出当增广线性系统的矩阵为M -矩阵和HIn this paper,we present a local-multisplitting iterative method based on two kinds of multi-splitting techniques for the augmented linear systems.The convergence of the new splitting iterative method are studied when the coefficient matrix of the augmented linear systems is an M-matrix and an H-matrix.Finally,we discuss the eigenvalues of preconditioned matrix.

关 键 词：局部多分裂迭代 增广线性系统 收敛性 

分 类 号：O241.6[理学—计算数学]