摘要
在预条件矩阵Pα=(I+Sα)和Pαβ=(I+Sαβ)的基础上提出一个新的预条件矩阵为P^αβ=(I+S^αβ)的预条件AOR迭代法,建立了新的预条件AOR迭代法与经典的AOR迭代法的比较定理,数值试验表明预条件AOR迭代法更为有效.
This paper proposes a new preconditioned AOR iterative method with the preconditioned matrix P^αβ=(I+S^αβ) under the preconditioned matrices Pα=(I+Sα) and Pαβ=(I+Sαβ).The comparison theorems are established between the new preconditioned AOR iterative method and the classical AOR iterative method.Numerical experiments are used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method.
出处
《湖北民族学院学报（自然科学版）》
CAS
2012年第1期39-44,共6页
Journal of Hubei Minzu University(Natural Science Edition)
基金
内蒙古自然科学基金项目(2011MS0114)
关键词
计算数学
预条件
线性方程组
AOR迭代法
谱半径
L-矩阵
computational mathematics
preconditioner
linear systems
AOR iterative method
spectral radius
L-matrix
