|Table of Contents|

Generalization of Generalized Eigenvalue Theorems to Pseudospectra Theorems

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

Issue:
2005年01期
Page:
113-115
Research Field:
Publishing date:

Info

Title:
Generalization of Generalized Eigenvalue Theorems to Pseudospectra Theorems
Author(s):
LI Bao-cheng SUN Zheng
School of Sciences, NUST, Nanjing 210094,China
Keywords:
genera lized eigenvalues pseudospectra matrix pencils
PACS:
O177.7
DOI:
-
Abstract:
E igenvalues, more generally, spectra, are an imperfect too l for analyzing nonnorm almatrices and operators. As a natura l extension of the idea o f spectra, pseudospectra is a new too l for nonnorma l system. Th is paper d iscussed five theo rem s invo lv ing E-pseudospectra. E ach generalizes a fam iliar generalized e igenvalue theorem. In the pract ical applications o f high ly nonnorm alm atrices, these theoremsm ay be more useful than the ir generalized e igenva lue special cases andm ay prov idemore descriptive inform at ion.

References:

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Last Update: 2013-03-03