模大于1的Gauss—Seidel迭代法的收敛准则

A Criterion for the Convergence of the Gauss—Seidel Iteration that Allows Three Norms of A Greater Than 1

本文利用 Jacobi 迭代矩阵 A 的元素的平方给出 Gauss—Seidel 迭代法收敛的新准则,它允许‖A‖>1。

A new criterion for the convergence of the Gauss—Seidel iteration is presented and the rate of the convergence estimated.This criterion allows three norms of matrix A in the eqnation X =AX+bgreater than 1.