定常二级迭代法与其外迭代法收敛性的比较  

Comparison results about stationary two-stage iterative methods and outer iterative methods

作　　者：薛秋芳[1,2] 高兴宝[1] 刘晓光[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]西安理工大学理学院应用数学系,西安710054

出　　处：《计算机工程与应用》2014年第8期11-15,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.61273311,No.61173094)

摘　　要：研究了定常二级迭代法的收敛性,得到了定常二级迭代法与其外迭代收敛率的比较定理。结果表明外迭代的收敛速度一般快于定常二级迭代法,还给出了H-矩阵迭代法的比较结论。最后,数值例子验证了结论。In this paper, the convergence rate of stationary two-stage iterative methods is studied. Comparison results about the convergence rate of stationary two-stage iterative methods and their outer iterative methods are obtained. It is shown that the outer iterative methods are faster than the stationary two-stage iterative methods with the mild splittings. For the splittings of H-matrices, comparison results are also gotten. Finally, the obtained results are illustrated by the example.

关 键 词：定常二级迭代法 外迭代法 不可约矩阵 H-矩阵 谱半径 

分 类 号：O241.6[理学—计算数学]