| 求解大型非对称特征问题的块Arnoldi方法 |
| |
| 引用本文： | 戴华.求解大型非对称特征问题的块Arnoldi方法[J].南京航空航天大学学报,1987(1). |
| |
| 作者姓名： | 戴华 |
| |
| 摘 要： | 本文提出了计算大型非对称矩阵若干个模最大或模最小特征值以及相应特征向量的块Arnoldi方法。研究了块Arnoldi方法的收敛率,推广了Saad关于Arnoldi方法收敛率的一些结果,给出了块Arnoldi方法收敛率的一些估计。提出并讨论了由该方法所产生的数值结果。
|
| 关 键 词： | 计算数学 矩阵分析 特征值 迭代法 |
The Block Arnoldi Method for Solving Large Unsymmetric Eigenproblems |
| |
| Dai Hua.The Block Arnoldi Method for Solving Large Unsymmetric Eigenproblems[J].Journal of Nanjing University of Aeronautics & Astronautics,1987(1). |
| |
| Authors: | Dai Hua |
| |
| Abstract: | In this paper, we present a block Arnoldi method for computing a few of the greatest modulus or least modulus eigenvalues and corresponding eigenvectors of a large unsymmetric matrix and consider the rate of convergence of the block Arnoldi method. Some results of Saad describing the rate of convergence of Arnoldi's method are extended to the block Arnold! method. Some estimates of the rate of convergence of the block Arnoldi method are given. The results of numerical experiments conducted with this method are presented and discussed. |
| |
| Keywords: | computational mathematics matrix analysis characteristic value iteration method |
| 本文献已被 CNKI 等数据库收录！ |
