一类不可约Z-矩阵的预条件AOR迭代法  

A new preconditioned AOR iterative method for irreducible Z-matrices

作　　者：赵桐[1] 韩海山[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古自治区通辽028000

出　　处：《哈尔滨商业大学学报（自然科学版）》2015年第1期105-107,共3页Journal of Harbin University of Commerce：Natural Sciences Edition

摘　　要：对于系数矩阵为不可约的Z-矩阵的大型线性方程组,给出了一类新的预条件AOR迭代法,并证明其在给定的条件下是收敛的,数值例子证明解的有效性.This paper presented a new preconditioned AOR - type iterative method for solving the linear system, where coefficient matrix was an irreducible Z-matrix. And some theorems and corollaries were given to show that the new preconditioned A0R iterative method was convergence under the given condition. Numerical example verifies the validity.

关 键 词：预条件 Z-矩阵 AOR迭代法 收敛性 

分 类 号：O29[理学—应用数学]