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

116 Downloads (Pure)

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

Access to Document

Sps ppSubmitted manuscript, 2.24 MB

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

Handle.net

Persistent link

Cite this

@techreport{7d91c677774e4fc0922566dcca44efa9,

title = "Structured pseudospectra for matrix functions",

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",

keywords = "pseudospectra, robustness, structured singular values",

author = "T Wagenknecht and W Michiels and K Green",

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

year = "2005",

month = dec,

day = "6",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Structured pseudospectra for matrix functions

AU - Wagenknecht, T

AU - Michiels, W

AU - Green, K

N1 - Additional information: Submitted to Elsevier preprint Sponsorship: EPSRC GR/535684/01; Belgian Federal Science Policy Office

PY - 2005/12/6

Y1 - 2005/12/6

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

ER -

Structured pseudospectra for matrix functions

Abstract

Bibliographical note

Keywords

Access to Document

Handle.net

Fingerprint

Cite this