@Article{Lindner2018,
author = "Lindner, Marko",
title = "Circulant matrices: norm, powers, and positivity",
journal = "Opuscula Math.",
year = "2018",
volume = "38",
number = "6",
pages = "849--857",
doi = "https://doi.org/10.7494/OpMath.2018.38.6.849",
url = "https://doi.org/10.7494/OpMath.2018.38.6.849",
abstract = "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 \({\bf C}\) 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 \({\bf C^\top C}\). We then generalize the result to complex circulant matrices.",
keywords = "spectral norm, circulant matrix, eventually positive semigroups",
issn = "1232-9274"
}