线性方程组预条件AOR迭代法的一些改进结果  

Further Results on Pre-conditioned AOR Iterative Method for Linear Systems

作　　者：王学忠[1] 

机构地区：[1]河西学院数学与统计学院,甘肃张掖734000

出　　处：《河西学院学报》2011年第5期17-22,共6页Journal of Hexi University

摘　　要：本文运用I+βU作为预条件矩阵,讨论了预条件AOR迭代法的收敛性和谱半径的比较结果,并且改进了文[1]中的有关结果.理论和数值试验都表明了当0燮r燮ω燮1时,预条件Gauss-Seidel迭代法要优于预条件AOR迭代法.In this paper,we provide more comparison theorems on preconditioned AOR iterative method with preconditioner I＋βU for solving linear systems. Some recent results are improved. Comparison results and the numerical example show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than that of the preconditioned AOR iterative method.

关 键 词：Z-矩阵 AOR迭代法 预条件矩阵 收敛性 谱半径 

分 类 号：O151.26[理学—数学]