解具特殊系数矩阵线性代数方程组的预条件迭代法  

The Proconditioning Iterative Methods for the Solution of the Linear System With Special Coefficient Matric

作　　者：欧阳苗[1] 任彦[1] 

机构地区：[1]厦门理工学院管理科学系,福建厦门361005

出　　处：《太原师范学院学报（自然科学版）》2005年第4期12-14,32,共4页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章考虑具有更优特性的分块矩阵,(具有性质A的矩阵),给出了预条件Jacob i、G auss-Se ide l、对称G auss-Se ide l迭代矩阵与传统块Jacob i迭代矩阵二者特征值之间的关系,作为应用,选取某个恰当的预条件因子,在传统块Jacob i迭代法不收敛的情况下,预条件块迭代法能收敛.We discussed the blocked matrices with Property A,and we reduce the relation between preconditioning Jacobi, GS, SGS iterative matrices＇ and classical iterative matrices＇ eigenvalue~ As an application, when take some preconditioning iterative factor, the preconditioning iterative methods may converge quickly even if classical Jacobi iterative is divergent.

关 键 词：预条件方法 迭代方法 收敛 解线性代数方程组 

分 类 号：O241.6[理学—计算数学]