SOR迭代法收敛的充分条件

Some Sufficient Conditions on the Convergence of SOR Iteration

该文给出松驰因子ω满足条件 0<ω<1时,线性方程组 Ax=bSOR迭代法收敛的一些充分条件,这些结果是严格对角占优判别法的推广。

This paper gives some sufficient conditions on the con-vergence of SOR iteration for systems of linear equations Ax=bwith relaxation factor 0<ω<1. These conditions are the generaliza-tion of the diagonally dominate criterious.