摘要
提出了一种新的预处理矩阵,并研究了新的预处理AOR迭代法的收敛性,建立了新的预处理AOR法与(I+S)下AOR迭代法以及和经典AOR迭代法之间的比较定理.数值例子验证了定理的正确性并说明了这种方法的有效性.
A new preconditioned matrix was proposed, the convergence of the new preconditioned AOR iterative method was discussed and some new comparison theorems between two different preconditioned AOR methods and between the new preconditioned AOR method and the classical AOR iterative method were established. Finally, numerical experiments were used to demonstrate the feasibility and effectiveness of the new preconditioned AOR iterative method.
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第1期112-114,共3页
Journal of Lanzhou University(Natural Sciences)
基金
教育部"春晖计划"项目(Z2005-2-62002)
回国留学人员基金项目(教外司留[2005]546)