Publisher DOI: 10.7494/OpMath.2018.38.6.849
Title: Circulant matrices: Norm, powers, and positivity
Language: English
Authors: Lindner, Marko  
Issue Date: 2018
Publisher: AGH Univ. of Science and Technology Press
Source: Opuscula Mathematica 6 (38): 849-857 (2018)
Abstract (english): 
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.
ISSN: 0860-2727
Institute: Mathematik E-10 
Document Type: Article
Journal: Opuscula mathematica 
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