一类非对称矩阵SAOR迭代方法收敛的充要条件  

Sufficient and Necessary Conditions of the Convergence of the SAOR Iterative Method for Non-symmetric Matrices

作　　者：薛亚锋[1] 畅大为[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《牡丹江教育学院学报》2007年第4期136-137,共2页Journal of Mudanjiang College of Education

摘　　要：本文讨论了SAOR迭代方法的收敛性问题.得到了当系数矩阵为对角元素非零的相容次序矩阵,且Jacobi迭代矩阵的特征值都是纯虚数时SAOR方法收敛的充要条件.The article focuses on the convergence of the SAOR iterative method.When the coefficient matrix is consistently ordered matrix with non-zero diagonal elements,sufficient and necessary condition of the convergence of SAOR iterative method is given in the case that all eigenvalues of its Jacobi matrix are pure imaginary numbers.

关 键 词：SAOR迭代方法 相容次序矩阵 谱半径 

分 类 号：O241[理学—计算数学]