| 动力学系统伪谱与扰动系统谱的关系 |
| |
| 引用本文： | 李宝成,孙峥. 动力学系统伪谱与扰动系统谱的关系[J]. 南京理工大学学报(自然科学版), 2004, 28(2): 216-219 |
| |
| 作者姓名： | 李宝成 孙峥 |
| |
| 作者单位： | 南京理工大学,理学院,江苏,南京,210094;南京理工大学,理学院,江苏,南京,210094 |
| |
| 摘 要： | 波形松弛算子通常是高度非正规的。这时，采用传统的谱概念来研究算子和迭代法的特性就会遇到困难。利用常微分方程系统波形松弛算子的伪谱，证明扰动系统波形松弛算子的谱是矩阵束伪谱，并给出扰动系统的谱通常包含在未扰动系统的伪谱中，从而进一步证实了在非正规系统中伪谱确实是一个有用的科学计算工具。
|
| 关 键 词： | 常微分方程 扰动系统 波形松弛 谱 伪谱 |
| 文章编号： | 1005-9830(2004)02-0216-04 |
| 修稿时间： | 2002-07-08 |
Relationships of Pseudo-spectra of Dynamis Systems with Spectra of Its Perturbed Systems |
| |
| LI Bao-cheng,SUN Zheng. Relationships of Pseudo-spectra of Dynamis Systems with Spectra of Its Perturbed Systems[J]. Journal of Nanjing University of Science and Technology(Nature Science), 2004, 28(2): 216-219 |
| |
| Authors: | LI Bao-cheng SUN Zheng |
| |
| Abstract: | The waveform relaxation operator for many problems tends to be highly nonnormal,because the spectrum is not a good predictor of the behavior of the operator.The pseudo-spectra of waveform relaxation operators for ordinary differential equation systems are used,the spectra of perturbed systems are proved to be pseu-dospectra of matrix pencils.An inclusion relationship between them is obtained. The work here further confirms that the concept of pseu-dospectra is really a useful tool in scientific computation for nonnormal systems. |
| |
| Keywords: | ordinary differential equations perturbed systems waveform relaxation spectra pseudo-spectra |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
