| 相容次序矩阵AOR迭代收敛的充要条件 |
| |
| 引用本文： | 高树玲,畅大为.相容次序矩阵AOR迭代收敛的充要条件[J].纺织高校基础科学学报,2009,22(2):229-231. |
| |
| 作者姓名： | 高树玲 畅大为 |
| |
| 作者单位： | 1. 陕西师范大学,数学与信息科学学院,陕西,西安,710062;周口师范学院,数学系,河南,周口,466001
2. 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 讨论了A为大型稀疏非奇异矩阵的线性方程组Ax=b的AOR迭代求解问题.在系数矩阵A为对角元素非零的(1,1)相容次序矩阵且其相应的Jacobi矩阵的特征值的平方数均为纯虚数或零的情况下,得到了AOR方法收敛的充要条件.并给出一个数值例子对结论作以说明.
|
| 关 键 词： | 相容次序矩阵 AOR迭代法 谱半径 |
A sufficient and necessary condition of the AOR iterative method for consistently ordered matrices |
| |
| GAO Shu-ling,CHANG Da-wei.A sufficient and necessary condition of the AOR iterative method for consistently ordered matrices[J].Basic Sciences Journal of Textile Universities,2009,22(2):229-231. |
| |
| Authors: | GAO Shu-ling CHANG Da-wei |
| |
| Abstract: | The AOR iterative method for solving linear systems of the form Ax=b is discussed,where A is a large sparse nonsingular matrix.A sufficient and necessary cndition of the AOR iterative method is given in the case that the cofficient matrix A is(1,1) consistently ordered matrix and all square of the eigenvalues of its Jacobi matrix are pure imaginaries or zeroes.In addition,a numerical example is given for illustrating the results. |
| |
| Keywords: | consistently ordered matrix AOR iterative method spectral radius |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
