JOR迭代法的收敛性  

Convergence for JOR Iterative Method

作　　者：袁玉波[1] 高中喜[2] 黄廷祝[2] 刘福体[2] 

机构地区：[1]西安交通大学理学院,西安710049 [2]电子科技大学应用数学学院,成都6100541

出　　处：《电子科技大学学报》2003年第6期790-792,共3页Journal of University of Electronic Science and Technology of China

摘　　要：基于双严格对角占优的概念,针对线性方程组在求解时常用的JOR迭代方法,给出了JOR迭代矩阵谱半径新的上界及迭代法的收敛性准则,不仅适用于严格对角占优矩阵,还适用于双严格对角占优矩阵类,对相应迭代阵谱半径的估计更精确且扩大了JOR方法收敛参数的选取范围,并用数值例子说明了所给结果的优越性。JOR iterations for solving large linear system are studied. Based on the concept of the doubly diagonal dominance, an new upper bound for the spectral radius and convergence of JOR iterations are presented. Results obtained improve the known corresponding results and are suited to extended matrices. Finally, a numerical example is given for illustrating advantage of results in this paper.

关 键 词：收敛性 双严格对角占优 JOR迭代法 谱半径 

分 类 号：O241.6[理学—计算数学] O151.2[理学—数学]