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.
出处
《纺织高校基础科学学报》
CAS
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)
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
singular linear systems
p-cyclic matrices
block AOR method
semiconvergence
extrapolated iterativemethod
