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Falseness of the finiteness property of the spectral subradius
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Title: Falseness of the finiteness property of the spectral subradius

Creator:

Czornik, Adam ; Jurgaś, Piotr

Date:

2007

Resource Type:

artykuł

Contributor:

Korbicz, Józef (1951- ) - red.

Group publication title:

AMCS, volume 17 (2007)

Abstract:

We prove that there exist infinitely may values of the real parameter ? 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 ? 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 ? that has described property. The problem of finding such values is still open.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:78646

DOI:

10.2478/v10006-007-0016-1

Pages:

173-178

Source:

AMCS, volume 17, number 2 (2007) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

finiteness property spectral subradius

Object collections:

Last modified:

Jul 14, 2025

In our library since:

Apr 2, 2024

Number of object content hits:

114

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/88400

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Edition name Date
Falseness of the finiteness property of the spectral subradius Jul 14, 2025

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