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Numerical Linear Algebra with ApplicationsVolume 23, Issue 2, 1 March 2016, Pages 356-372

Pseudospectra localizations and their applications(Article)

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  • aDepartment of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, 21000, Serbia
  • bFaculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, Novi Sad, 21000, Serbia

Abstract

Summary: 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. Copyright © 2015 John Wiley & Sons, Ltd.

Author keywords

Diagonal dominanceDistance to instabilityEcosystems modelingLocalizationPseudospectraRobust stability
  • ISSN: 10705325
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1002/nla.2028
  • Document Type: Article
  • Publisher: John Wiley and Sons Ltd

  Kostić, V.R.; Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, Serbia;
© Copyright 2016 Elsevier B.V., All rights reserved.

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