奇异p-循环阵块AOR迭代的半收敛性  

Semiconvergence of block AOR method for singular linear systems with p-cyclic matrices

作　　者：康锋艳[1] 畅大为[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2010年第4期389-392,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(60671063)

摘　　要：讨论了用块AOR迭代法解决线性方程组的系数矩阵为奇异p-循环阵的半收敛性问题.首先用外插迭代给出了用块AOR迭代法解线性方程组系数阵为奇异p-循环阵半收敛的一些充分条件,然后在合理的假设条件下给出一个数值例子对结论加以验证.Semieonvergence of the block AOR method for solving singular linear systems with p-cyclic matrices is discussed. First, extrapolation iterative method is applied to obtain some sufficieent conditions for the semiconver- gence of the block AOR method for solving a general p-cyclic singular systems. Then based on some reasonable assumption, a numerical example is given for illustrating the restdts.

关 键 词：奇异线性方程组 p-循环阵 块AOR方法 半收敛性 外插迭代 

分 类 号：O241.6[理学—计算数学]