%0 Journal Article
%T ON SOME NEW CRITERIA OF CONVERGENCE OF THE GAUSS-SEIDEL ITERATION<br>关于Gauss-Seidel迭代收敛的新判据
%A 廖晓昕
%J 计算数学
%D 1979
%I 
%X In this paper, we consider some new criteria of convergence of the Gauss-Seidel iteration, the estimation of its speed of convergence, and the method to cheek the condition of these criteria. Four theorems are proved. These new criteria allow three norms of the coefficient matrix A of the equation X=AX+b to be greater than 1. They are applicable to wider situations than ather criteria now in common use and are easy to be check. In addition, the estimation of the speed of convergence is more accurate.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=849F75B3DFFD35F1&yid=8C8371356FB4C85C&vid=CA4FD0336C81A37A&iid=0B39A22176CE99FB&sid=F260CE035846B3B8&eid=73579BC9CFB2D787&journal_id=0254-7791&journal_name=计算数学&referenced_num=7&reference_num=0