摘要
本文在[1~3]基础上,给出 SOR 迭代法更一般适用的收敛充分条件,并得到了误差估计式,对ω=1情况,改进了[1]的主要结果。
In this paper,we modified the main results of [1].we give several more general criteria of Convergence of SOR method. We assume that the Jacobi iterative matrix is given by B′=(b_(ij)~′) and () We proved: (1)(). then the SOR method converges. (2) If ω=1,(), then the Gauss-seidel mothod converges. (3)If ω=ω_0,(), then the SOR method converges. (4)If ω=1,(), then the Gauss-seidel method converg()s.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
1989年第1期23-27,共5页
Journal of Northeast Normal University(Natural Science Edition)
关键词
SOR迭代法
收敛性
误差
迭代法
SOR iterative method
Jacobi-Seidel iterative method
Jacobl iterative
matrix
error vector
error estimate