Structured pseudospectra for matrix functions

T Wagenknecht; W Michiels; K Green

Structured pseudospectra for matrix functions

T Wagenknecht, W Michiels, K Green

Department of Engineering Mathematics

Research output: Working paper

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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 language	English
Publication status	Published - 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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Sps ppSubmitted manuscript, 2.24 MB

http://hdl.handle.net/1983/328

Cite this

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AU - Michiels, W

AU - Green, K

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N2 - 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

AB - 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

KW - pseudospectra

KW - robustness

KW - structured singular values

M3 - Working paper

BT - Structured pseudospectra for matrix functions

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Structured pseudospectra for matrix functions

Abstract

Bibliographical note

Keywords

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Cite this