|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)||Journal or Series Name:||Opuscula mathematica||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.||URI:||http://hdl.handle.net/11420/3028||ISSN:||0860-2727||Institute:||Mathematik E-10||Type:||(wissenschaftlicher) Artikel|
|Appears in Collections:||Publications without fulltext|
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