Autor:

Czornik, Adam ; Jurgaś, Piotr

Współtwórca:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Tytuł:

Some properties of the spectral radius of a set of matrices

Tytuł publikacji grupowej:

AMCS, Volume 16 (2006)

Temat i słowa kluczowe:

spectral radius ; spectral subradius ; symmetric matrices

Abstract:

In this paper we show new formulas for the spectral radius and the spectral subradius of a set of matrices. The advantage of our results is that we express the spectral radius of any set of matrices by the spectral radius of a set of symmetric positive definite matrices. In particular, in one of our formulas the spectral radius is expressed by singular eigenvalues of matrices, whereas in the existing results it is expressed by eigenvalues.In this paper we show new formulas for the spectral radius and the spectral subradius of a set of matrices. ; The advantage of our results is that we express the spectral radius of any set of matrices by the spectral radius of a set of symmetric positive definite matrices. In particular, in one of our formulas the spectral radius is expressed by singular eigenvalues of matrices, whereas in the existing results it is expressed by eigenvalues.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2006

Typ zasobu:

artykuł

Strony:

183-188

Źródło:

AMCS, volume 16, number 2 (2006) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

kliknij tutaj, żeby przejść

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego