标题:
H-矩阵的预条件对角占优性Preconditioned Diagonally Dominant Properties of H-Matrix
作者:
王学忠, 李晓梅
关键字:
迭代法, H-矩阵, 预条件矩阵, 对角占优性Iterative Method; H-Matrix; Preconditioned Matrix; Diagonally Dominant Properties
期刊名称:
《Pure Mathematics》, Vol.2 No.1, 2012-01-16
摘要:
对于线性方程组Ax=b ，当A是严格对角占优矩阵时大部分迭代法都收敛。当A不是对角占优矩阵时，预条件技术常被采用。本文给出了一种选取预条件矩阵P和Q的方法，把一个非对角占优的H-矩阵转化为严格对角占优矩阵。数值例子也说明了该方法的有效性。
It is well-known that most iterative methods converge for linear system whose coefficient matrix A is strictly diagonally dominant. When A is not diagonally dominant, preconditioned techniques can be em- ployed. This paper presents a method to establish appropriate preconditioned matrices P and Q for transfor- ming an H-matrix which is non-diagonally dominant matrix into the diagonally dominant matrix. Numerical examples also show the effectiveness of this method.