矩阵分块的Gauss-Seidel迭代收敛的若干准则

SOME CONVERGENCE CRITRTA OF THE Gauss-Seidel ITERATION FOR LUMPE MATRIX

在矩阵分析中,矩阵的谱半径估计是一个重要的工具。在文[1]、[2]、[3]中先后讨论了矩阵分块的迭代法的收敛性。本文给出分块矩阵的Gauss-Seidel迭代收敛的判别准则及其敛速估计.

In this paper we give out two new estimative methods of convergence of Gauss-Seidel iteration for block matrix and the estimates of convergence speed.