liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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
Reliable Method for the Evaluation of Commuting Matrices
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1998 (English)Report (Other academic)
Abstract [en]

In this paper, we study the characteristics of matrices that commute with a given matrix A. It appears that these are related to the null space of a well-structured matrix. More precisely, any matrix R that commutes with A has its vectorized column in the null space of that well-structured matrix. Hence, the problem of finding such matrix R is equivalent to that of obtaining a representation of a basis for that space. From a numerical point of view, we propose a low cost and robust procedure for computing a basis for the "commuting" null space.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1998. , 9 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2012
Keyword [en]
Matrix commutation, Null space, Kronecker product
Keyword [sv]
Maskinelement Servomekanismer Automation, Algebra Linjär Multilinjär
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55630ISRN: LiTH-ISY-R- 2012OAI: oai:DiVA.org:liu-55630DiVA: diva2:316281
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-12Bibliographically approved

Open Access in DiVA

Reliable Method for the Evaluation of Commuting Matrices(168 kB)60 downloads
File information
File name FULLTEXT02.pdfFile size 168 kBChecksum SHA-512
714240235bda4b9fcfec23c5af3e62130dc7ad6dab135188bd4cb5b8347b1229dacf9d0ffc5ea23c26db69043bee826745a6de66dd3e93b8c3026001931762bc
Type fulltextMimetype application/pdf
fulltext(419 kB)52 downloads
File information
File name FULLTEXT01.psFile size 419 kBChecksum SHA-512
d562e120a7797ca52ae7a52a9298c3a276cbc8d613c71ca76de5abe41223b39f17bd1d5c935ed3c3e84955974b952f32d7660ff4b916aed77ee40c48ca004382
Type fulltextMimetype application/postscript

By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 112 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 59 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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