On ε-spectra and stability radii

Grammont, Laurence; Largillier, Alain

doi:10.1016/s0377-0427(02)00480-6

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Cited by 6 publications

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“…It is interesting to note here that the similar partition that we have used to obtain μ 3 , but in different setting, was considered in for estimating pseudospectra in Euclidian norm.…”

Section: Applicationsmentioning

confidence: 99%

Pseudospectra localizations and their applications

Kostić

Cvetković

Cvetkovic

2015

Numerical Linear Algebra App

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Usefulness of spectral localizations in analysis of various matrix properties, such as stability of dynamical systems, has led us to derive a pseudospectra localization technique using the ideas that come from diagonally dominant matrices. In such way, many theoretical and practical applications of pseudospectra (robust stability, transient behavior, nonnormal dynamics, etc.) can be linked with specific relationships between matrix entries. This allows one to understand certain phenomena that occur in practice better, as we show for the realistic model of soil energetic food web. The novelty of the presented results, therefore, lies not only in new mathematical formulations but also in the conceptual sense because it links stability with empirical data and their uncertainty limitations.

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“…It is interesting to note here that the similar partition that we have used to obtain μ 3 , but in different setting, was considered in for estimating pseudospectra in Euclidian norm.…”

Section: Applicationsmentioning

confidence: 99%