Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A quadratic eigenproblem in the analysis of a time delay system
Institut Computational Mathematics, TU Braunschweig.ORCID iD: 0000-0001-9443-8772
2006 (English)In: Proceedings in Applied Mathematics and Mechanics: PAMM, ISSN 1617-7061, E-ISSN 1617-7061, Vol. 6, no 1, 63-66 p.Article in journal (Refereed) Published
Abstract [en]

In this work we solve a quadratic eigenvalue problem occurring in a method to compute the set of delays of a linear time delay system (TDS) such that the system has an imaginary eigenvalue. The computationally dominating part of the method is to find all eigenvalues z of modulus one of the quadratic eigenvalue problem

Because of its origin in the vectorization of a Lyapunov type matrix equation, the quadratic eigenvalue problem is, even for moderate size problems, of very large size. We show one way to treat this problem by exploiting the Lyapunov type structure of the quadratic eigenvalue problem when constructing an iterative solver. More precisely, we show that the shift-invert operation for the companion form of the quadratic eigenvalue problem can be efficiently computed by solving a Sylvester equation. The usefulness of this exploitation is demonstrated with an example.

Place, publisher, year, edition, pages
2006. Vol. 6, no 1, 63-66 p.
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-53367DOI: 10.1002/pamm.200610017OAI: oai:DiVA.org:kth-53367DiVA: diva2:469996
Conference
GAMM Annual Meeting 2006. Berlin, Germany. March 27th - 31st 2006
Note
QC 20120531Available from: 2011-12-27 Created: 2011-12-27 Last updated: 2017-12-08Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Jarlebring, Elias

Search in DiVA

By author/editor
Jarlebring, Elias
In the same journal
Proceedings in Applied Mathematics and Mechanics: PAMM
Computer and Information Science

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 30 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf