新的预条件AOR迭代法和新的比较定理  

New preconditioned AOR iterative method and comparison theorems

作　　者：常岩磊[1] 张国凤[1] 赵景余[1] 

机构地区：[1]兰州大学数学与统计学院,兰州730000

出　　处：《兰州大学学报（自然科学版）》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)

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.

关 键 词：M-矩阵 预条件 AOR迭代方法 SOR迭代方法 收敛性 

分 类 号：O241.81[理学—计算数学]