Z-矩阵的预条件块AOR(BAOR)迭代法(英文)  

Preconditioned Block AOR(BAOR) Iterative Method For Z-matrices

作　　者：杨顺枫 李耀堂[2] 程军[3] 

机构地区：[1]云南教育出版社,云南昆明650034 [2]云南大学数学系,云南昆明650091 [3]曲靖师范学院教师教育学院,云南曲靖655011

出　　处：《曲靖师范学院学报》2011年第3期1-7,共7页Journal of Qujing Normal University

基　　金：国家自然科学基金项目(30770500)

摘　　要：为求解线性方程组Ax=b,人们提出了许多预条件因子,并给出对应的预条件方法.给出两个新预条件因子,在系数矩阵为Z-矩阵的条件下,探讨对应预条件AOR迭代法的收敛性质和收敛速度.最后,依据给出数值算例,验证所得定理.In order to solve the linear system Ax=b,many preconditioned iterative methods with different preconditioners have been proposed by researchers.In this paper,we propose two new preconditioners,which are applied to BAOR iterative method.Meanwhile,some convergence properties and comparison results are presented when the coefficient matrix A is a Z-matrix.Furthermore,numerical examples are given to illustrate our results.

关 键 词：BAOR迭代法 块预条件因子 预条件BAOR迭代法 Z-矩阵 M-矩阵 

分 类 号：O151.21[理学—数学]