摘要
主要研究了线性方程组Ax=b的迭代解法的收敛性,其中A为中心对称的M-阵。特别的,本文的迭代格式是基于矩阵A的中心对称分裂,推导这些方法的主要工具是中心对称矩阵的可约性,目的是减少计算量。
In this paper, the convergence of iterative methods for the linear system Ax=b is investigated, where A is a centrosymmetric M-matrix. The iterative scheme in the paper is particularly based on the centrosymmetric splitting of the matrix A. These methods, originated mainly from the reducibility of the centrosymmetric matrices, are aimed at reduction of the computation.
出处
《长沙交通学院学报》
2005年第2期1-4,共4页
Journal of Changsha Communications University
基金
湖南省教育厅优秀青年基金资助项目(04B006)
关键词
中心对称
M-阵
正则分裂
迭代方法
centrosymmetric
M-matrices
regular splitting
iterative methods
