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Structured pseudospectra for matrix functions

Research output: Working paperWorking paper and Preprints

  • T Wagenknecht
  • W Michiels
  • K Green
Original languageEnglish
Publication date6 Dec 2005
StatePublished

Abstract

In this paper we introduce structured pseudospectra for analytic matrix functions and derive computable formulae. The results are applied to the sensitivity analysis of the eigenvalues of a second-order system arising from structural dynamics and of a time-delay system arising from laser physics. In the former case, a comparison is made with the results obtained in the framework of random eigenvalue problems

Additional information

Additional information: Submitted to Elsevier preprint Sponsorship: EPSRC GR/535684/01; Belgian Federal Science Policy Office

Documents

  • Sps pp

    Preprint (usually an early version) , 2 MB, PDF-document

Research areas

  • pseudospectra, robustness, structured singular values

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