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Circulant matrices: Norm, powers, and positivity
Publikationstyp
Journal Article
Date Issued
2018
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Volume
38
Issue
6
Start Page
849
End Page
857
Citation
Opuscula Mathematica 6 (38): 849-857 (2018)
Publisher DOI
Scopus ID
Publisher
AGH Univ. of Science and Technology Press
In their recent paper “The spectral norm of a Horadam circulant matrix”, Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix C equals the modulus of its row/column sum. We improve on their sufficient condition until we have a necessary one. Our results connect the above problem to positivity of sufficiently high powers of the matrix C>C. We then generalize the result to complex circulant matrices.
DDC Class
510: Mathematik