Gauss-Seidel迭代法收敛的新准则

Sufficient condition for convergence of the Gauss-Seidel iteration

给出了当‖ B‖F =∑ni=1b2i ≥ 1 ,b2i =∑nj=1|bij|2 ,i=1 ,n时 ,Gauss-Seidel迭代法收敛的充分条件 。

In this paper, we give the sufficient condition for convergence of the Gauss\|Seidel iteration, it allows \{\%‖B‖\-F≥1\%.\} At the same time, we also give the estimation for the rate of convergence.