摘要
对系数矩阵为严格双α-对角占优矩阵的情况,推广了解线性方程组的AOR迭代法,获得了AOR方法收敛的实用条件。推广了已有结果,并用数值例子说明了本文结论的实用性。
In this paper, AOR iteration method for solving linear system is studied when coefficient matrix is doubly a-diagonal strictly dominance, and a practical sufficient condition for the convergence of the AOR method is given. The existing result was extended, and a numerical example is given for illustrating the advantage of the result.
出处
《长春理工大学学报（自然科学版）》
2012年第1期171-173,共3页
Journal of Changchun University of Science and Technology(Natural Science Edition)
基金
辽宁省教育厅高校科研项目(2004F100)
国家青年科学基金(61104058)
关键词
严格双α-对角占优矩阵
AOR迭代法
收敛性定理
doubly a-diagonal strictly dominance matrix
AOR iteration method
convergence theorem
