您的位置:首页  > 论文页面

一种预条件对角占优矩阵的构造方法

发表时间:2013-07-15  浏览量:1298  下载量:363
全部作者: 王学忠
作者单位: 河西学院数学与统计学院
摘 要: 当线性方程组的系数矩阵是严格对角占优矩阵时,大部分迭代法都收敛;当它不是对角占优矩阵时,预条件技术常被采用。当系数矩阵是H-矩阵时,一种构造预条件矩阵P和Q的方法被提出,把一个非对角占优的矩阵转化为严格对角占优矩阵。数值例子也证明了所提方法是可行的。
关 键 词: 计算数学;迭代法;H-矩阵;预条件矩阵;对角占优矩阵
Title: A technique for constructing preconditioned diagonally dominant matrices
Author: WANG Xuezhong
Organization: School of Mathematics and Statistics, Hexi University
Abstract: Most iterative methods converge when the coefficient matrix of linear systems is a strictly diagonally dominant matrix. When coefficient matrix is not diagonally dominant matrix, preconditioned techniques can be employed. This paper presented a method to establish appropriate preconditioned matrices P and Q when coefficient matrix was an H-matrix, in order to transform a non-diagonally dominant matrix into a diagonally dominant matrix. Numerical example also showed the effectiveness of this method.
Key words: computational mathematics; iterative method; H-matrix; preconditioned matrix; diagonally dominant matrix
发表期数: 2013年7月第13期
引用格式: 王学忠. 一种预条件对角占优矩阵的构造方法[J]. 中国科技论文在线精品论文,2013,6(13):1227-1231.
 
0 评论数 0
暂无评论
友情链接