摘要
对于系数矩阵为不可约的L-矩阵的大型线性方程组,本文给出了一类新的预条件AOR迭代法,并证明其在给定的条件下是收敛的,数值例子证明解的有效性.
In this paper,we present a new preconditioned AOR-type iterative method for solving the linear system, where coefficient matrix is an irreducible L-matrix. And give some theorems and corollaries to show that the new pre-conditioned AOR iterative method is convergence under the given condition.Numerical example verifies validity.
出处
《内蒙古民族大学学报(自然科学版)》
2013年第2期135-138,共4页
Journal of Inner Mongolia Minzu University:Natural Sciences
基金
内蒙古自然科学基金资助项目(2010MS0114)
关键词
AOR迭代法
L-矩阵
收敛性
谱半径
AOR iterative method
L-Matrices
Convergence
Spectral radius