Some properties of the spectral radius of a set of matrices

• Autorzy: Adam Czornik , Piotr Jurgas
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

symmetric matrices; spectral subradius; spectral radius

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2006
• Tom: 16
• Numer: 2
• Strony: 183-188

Daty

wydano

2006

otrzymano

2005-08-10

poprawiono

2006-02-07

Twórcy

autor

Adam Czornik

• Department of Automatic Control, Silesian University of Technology, ul. Akademicka 16, 44-101 Gliwice, Poland

autor

Piotr Jurgas

• Department of Automatic Control, Silesian University of Technology, ul. Akademicka 16, 44-101 Gliwice, Poland

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