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Relationships of Pseudo-spectra of Dynamis Systems with Spectra of Its Perturbed Systems(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2004年02期
Page:
216-219
Research Field:
Publishing date:

Info

Title:
Relationships of Pseudo-spectra of Dynamis Systems with Spectra of Its Perturbed Systems
Author(s):
LI Bao-chengSUN Zheng
School of Sciences,NUST,Nanjing 210094,China
Keywords:
ordinary different ial equat ions perturbed systems waveform relaxation spectra pseudo-spect ra
PACS:
O19
DOI:
-
Abstract:
T he w aveform relaxat ion operator for many problems tends to be highly nonnormal, because the spect rum is not a good predictor of the behavior of the operator. The pseudo-spect ra of w aveform relaxation operators for ordinary differential equat ion systems are used, the spect ra of perturbed systems are proved to be pseu-dospectra of matrix pencils. An inclusion relat ionship between them is obtained. T he w ork here further confirms that the concept of pseu-dospectra is really a useful tool in scient ific computat ion for nonnormal systems.

References:

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[ 3] Trefet hen L N. Pseudospectra of linear operators[ J] . SIAM Rev iew , 1997, 39: 383~ 406.
[ 4] Reichel L, Trefethen L N. Eigenvalues ans pseudo-eig envalues of Toeplitz matrices [ J] . Linear Algebra Appl, 1992, 162~ 164: 153~ 185.
[ 5] Lumsdaine A, Wu D. Spectra and pseudospectra of waveform relaxation operators[ J] . SIAM J Sci Comput, 1997, 18: 286~ 304.

Memo

Memo:
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Last Update: 2013-03-11