相容次序矩阵的AOR方法的收敛性  

Convergence of the AOR for Consistently Ordered Matrix

作　　者：罗芳[1] 王振芳[1] 

机构地区：[1]山西大同大学数学与计算机科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2012年第1期1-2,24,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：文章讨论了系数矩阵为相容次序矩阵、Jacobi迭代矩阵的特征值在三种情形时对应的AOR方法的收敛条件,并给出了当Jacobi迭代矩阵特征值为纯虚数和实数时的最优因子的选取方法,最后通过实例进行分析。In this paper, the Condition of convergence of AOR iterative was discussed when the coefficient matrix of a linear system is a （1,1） consistently ordered matrix and the eigenvalues of its Jacobi matrix in three cases, and the optimum parameters of its AOR iterative method are given when the eigenvalues of its Jacobi matrix are all pure imaginares or are all real numbers. In adition, a examples is given for illustrating the results.

关 键 词：相容次序矩阵 AOR迭代法 SOR迭代法 最优参数 谱半径 

分 类 号：O241.6[理学—计算数学]