- Tytuł:
- Circulant matrices: norm, powers, and positivity
- Autorzy:
- Lindner, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/255337.pdf
- Data publikacji:
- 2018
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
spectral norm
circulant matrix
eventually positive semigroups - Opis:
- 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 CTC. We then generalize the result to complex circulant matrices.
- Źródło:
-
Opuscula Mathematica; 2018, 38, 6; 849-857
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł