| 确定分块SOR迭代法收敛域的一般方法 |
| |
| 引用本文： | 李春光 刘人丽. 确定分块SOR迭代法收敛域的一般方法[J]. 四川师范大学学报(自然科学版), 1997, 20(2): 44-53 |
| |
| 作者姓名： | 李春光 刘人丽 |
| |
| 作者单位： | [1]宁夏农学院计算中心 [2]四川师范大学数学系 |
| |
| 摘 要： | 本文利用判定多项式的全部根位于单位圆内的Ｓｃｈｕｒ准则，给出了一个确定ｐ－循环矩阵ＳＯＲ迭代法的收敛域的一般方法，该方法具有广泛的适用性，作为例子，本文较简洁地将迄今为止有关ＳＯＲ收敛域的已知结果统一了起来，此外，本文给出的方法容易推广到广义相容次序矩阵的ＳＯＲ，以及ＳＳＯＲ和ＭＳＯＲ方法的收敛域问题中去。
|
| 关 键 词： | 循环矩阵 线性代数方程组 SOR迭代法 收敛域 |
A GENERAL METHOD OF DETERMINATION FOR THE PRECISE CONVERGENCE DOMAINS OF THE BLOCK SOR METHODS |
| |
| Li Chunguang. A GENERAL METHOD OF DETERMINATION FOR THE PRECISE CONVERGENCE DOMAINS OF THE BLOCK SOR METHODS[J]. Journal of Sichuan Normal University(Natural Science), 1997, 20(2): 44-53 |
| |
| Authors: | Li Chunguang |
| |
| Abstract: | In this paper, a general method for finding the precise convergence domains of the block SOR methods associated with the p cyclic matrices is given. The method is essentially based on the properties of the Schur polynomials. As applications of the method, some known results on the SOR convergence domains are treated simply and unifiedly. As a general method, it might be applied to the convergence of the SOR methods of GCO matrices, and to the SSOR and MSOR methods. |
| |
| Keywords: | Convergence domains The SOR method p cyclic matrices Schur polynomials. |
| 本文献已被 CNKI 维普 等数据库收录！ |
