Structured pseudospectra for nonlinear eigenvalue problems

T. Wagenknecht; W. Michiels; K. Green

doi:10.1016/j.cam.2006.12.007

Structured pseudospectra for nonlinear eigenvalue problems

T. Wagenknecht, W. Michiels, K. Green

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems 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. © 2007 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	245-259
Journal	Journal of computational and applied mathematics
Volume	212
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2006.12.007
Publication status	Published - 2008

Bibliographical note

Structured pseudospectra for nonlinear eigenvalue problems

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/j.cam.2006.12.007

Persistent URL (handle)

Persistent link

Cite this

@article{df8df3b338604bec8f18ac961d69672d,

title = "Structured pseudospectra for nonlinear eigenvalue problems",

abstract = "In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems 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. {\textcopyright} 2007 Elsevier B.V. All rights reserved.",

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

note = "Structured pseudospectra for nonlinear eigenvalue problems",

year = "2008",

doi = "10.1016/j.cam.2006.12.007",

language = "English",

volume = "212",

pages = "245--259",

journal = "Journal of computational and applied mathematics",

issn = "0377-0427",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Structured pseudospectra for nonlinear eigenvalue problems

AU - Wagenknecht, T.

AU - Michiels, W.

AU - Green, K.

N1 - Structured pseudospectra for nonlinear eigenvalue problems

PY - 2008

Y1 - 2008

N2 - In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems 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. © 2007 Elsevier B.V. All rights reserved.

AB - In this paper we introduce structured pseudospectra for nonlinear eigenvalue problems 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. © 2007 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.cam.2006.12.007

DO - 10.1016/j.cam.2006.12.007

M3 - Article

SN - 0377-0427

VL - 212

SP - 245

EP - 259

JO - Journal of computational and applied mathematics

JF - Journal of computational and applied mathematics

IS - 2

ER -

Structured pseudospectra for nonlinear eigenvalue problems

Abstract

Bibliographical note

UN SDGs

Access to Document

Persistent URL (handle)

Fingerprint

Cite this