Falseness of the finiteness property of the spectral subradius

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

Abstrakty

EN

We prove that there exist infinitely may values of the real parameter α for which the exact value of the spectral subradius of the set of two matrices (one matrix with ones above and on the diagonal and zeros elsewhere, and one matrix with α below and on the diagonal and zeros elsewhere, both matrices having two rows and two columns) cannot be calculated in a finite number of steps. Our proof uses only elementary facts from the theory of formal languages and from linear algebra, but it is not constructive because we do not show any explicit value of α that has described property. The problem of finding such values is still open.

Słowa kluczowe

EN

finiteness property; spectral subradius

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 2
• Strony: 173-178

Daty

wydano

2007

otrzymano

2006-01-19

poprawiono

2006-11-02

(nieznana)

2007-02-23

Twórcy

autor

Adam Czornik

• Department of Automatic Control, Silesian University of Technology, ul. Akademicka 17, 44–101 Gliwice, Poland

autor

Piotr Jurgas

• Polish-Japanese Institute of Information Technology, ul. Aleja Legionów 2, 41–902 Bytom, Poland

Bibliografia

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