改进的高斯-赛德尔迭代法的收敛性分析

摘要

本文讨论了改进的高斯-赛德尔迭代法的收敛性。在严格对角占优的L-矩阵条件下,该预条件加快了高斯-赛德尔迭代法的收敛速度,而且在该预条件下高斯-赛德尔迭代法的谱半径是单调下降的。最后用数值例子说明本文得出的结论。%In this papert,he convergence analysis for a new preconditioned Gauss-Seidel iterative method was discussed.If the matrix is the strictly dominant L-matrixt,he convergence rate of the preconditioned Gauss-Seidel iterative method is faster than one of the