新的预条件AOR迭代方法和比较定理  

NEW PRECONDITIONED AOR ITERATIVE METHOD AND COMPARISON THEOREMS

作　　者：王楠楠[1] 赵建立[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《井冈山大学学报（自然科学版）》2011年第3期6-8,共3页Journal of Jinggangshan University (Natural Science)

基　　金：国家自然科学基金项目(10771073)

摘　　要：提出了一种新的预条件AOR迭代法,对其收敛性进行了分析,给出该预条件AOR迭代法与经典AOR迭代法之间的比较性定理。最后的数值例子说明该预条件要优于经典的AOR迭代法。A new preconditioned AOR iterative method was proposed. Based on the convergence analysis about the method,the comparison theorem between the new preconditioned AOR method and the classical AOR method was considered. Finally,the numerical example was shown that the new preconditioned method is better than the classical AOR method.

关 键 词：预条件 L-矩阵 AOR方法 SOR方法 

分 类 号：O241.6[理学—计算数学]