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The spectral norm of a circulant matrix
University of Tampere, Finland.
University of Tampere, Finland.
Tampere University of Technology, Finland.
Luleå University of Technology, Department of Arts, Communication and Education, Education, Language, and Teaching.ORCID iD: 0000-0002-7494-4632
2018 (English)In: JP Journal of Algebra, Number Theory and Applications, ISSN 0972-5555, Vol. 40, no 4, p. 495-500Article in journal (Refereed) Published
Abstract [en]

Let  be the corresponding circulant matrix, and denote the spectral norm. We prove that if the matrix (entrywise), i.e., if

for all

where the latter index is modulo n, then

 We apply this result to the case when  is defined by a linear recursion of order two.

Place, publisher, year, edition, pages
PUSHPA PUBLISHING HOUSE , 2018. Vol. 40, no 4, p. 495-500
Keywords [en]
circulant matrix, spectral norm, Horadam sequence
National Category
Mathematics Didactics
Research subject
Mathematics Education
Identifiers
URN: urn:nbn:se:ltu:diva-70673DOI: 10.17654/NT040040495ISI: 000453670300006OAI: oai:DiVA.org:ltu-70673DiVA, id: diva2:1243197
Note

Validerad;2018;Nivå 2;2018-09-03 (andbra)

Available from: 2018-08-30 Created: 2018-08-30 Last updated: 2019-01-30Bibliographically approved

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No full text in DiVA

Other links

Publisher's full texthttp://www.pphmj.com/journals/articles/1774.htm

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Tossavainen, Timo

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  • apa
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  • ieee
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  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • text
  • asciidoc
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