| 关于实对称带状矩阵逆特征值问题的广义Lanczos算法 |
| |
| 引用本文： | 李杰红. 关于实对称带状矩阵逆特征值问题的广义Lanczos算法[J]. 天津科技大学学报, 2011, 26(2): 75-78 |
| |
| 作者姓名： | 李杰红 |
| |
| 作者单位： | 天津科技大学理学院,天津,300457 |
| |
| 摘 要： | 针对实对称带状矩阵的逆特征值问题,提出了一种新的能适应重特征值逆问题算法-广义Lanczos算法.它是在块Lanczos算法、拟Lanczos算法的基础上的进一步扩张,通过实际计算验证,该算法简单且数值稳定.
|
| 关 键 词： | 特征值 逆问题 Lanczos算法 |
On the Generalized Lanczos Algorithm of Inverse Problem for Real Symmetric Band Matrix |
| |
| LI Jie-hong. On the Generalized Lanczos Algorithm of Inverse Problem for Real Symmetric Band Matrix[J]. Journal of Tianjin University of Science & Technology, 2011, 26(2): 75-78 |
| |
| Authors: | LI Jie-hong |
| |
| Affiliation: | LI Jie-hong(College of Science,Tianjin University of Science & Technology,Tianjin 300457,China) |
| |
| Abstract: | A new algorithm was generalized by Lanczos algorithm on the real symmetric band matrix of inverse problem.The generalized Lanczos algorithm can apply to multiple eigenvalue inverse problem.It is increased by block-Lanczos algo-rithm and quasi-Lanczos.Numerical results shows that the algorithm is simple and stable. |
| |
| Keywords: | eigenvalue inverse problem Lanczos algorithm |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
