Structured pseudospectra for matrix functions

T Wagenknecht, W Michiels, K Green

Research output: Working paperWorking paper and Preprints

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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
Original languageEnglish
Publication statusPublished - 6 Dec 2005

Bibliographical note

Additional information: Submitted to Elsevier preprint

Sponsorship: EPSRC GR/535684/01;
Belgian Federal Science Policy Office

Keywords

  • pseudospectra
  • robustness
  • structured singular values

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