块迭代解法收敛性的判别条件

On some criteria for the convergence of block iterative methods

给出了一般ｎ阶线性方程组的几个基本块迭代解法——ＢＪ、ＢＧＳ、ＢＳＯＲ、ＢＪＯＲ、ＢＡＯＲ及ＢＳＡＯＲ迭代解法收敛的一些判别条件．这些条件为上述迭代法收敛性的判定提供了实用判据．

Some sufficient coditions for the convergence of block interative methods for solving general n dimensional linear systems are given. These conditions provide practical criteria for judging the convergence of these iterative methods.