线性块SOR二级迭代法的收敛性质

Block SOR Two-stage Iterative Methods For Solution of Linear Systems

内迭代次数充分大时,求解非奇异线性方程组的块SOR二级迭代法与经典的块SOR方法有相同的收敛性和大致相等的收敛速度.因此,用于块SOR方法有效的松弛因子,同样可有效地用于块SOR二级迭代法.

When inner iteration number is large enough, the block SOR two-stage iterative methods for solution of nonsingular linear systems possess the same convergence and almost equal convergence rate to classical SOR methods. An active relaxation factor on block SOR methods,hence,can also be effectively used to block SOR two-stage iterative methods.