Bounds for joint spectral radii of a set of nonnegative matrices

DOI10.1134/S0001434610010025zbMath1202.15022OpenAlexW2088643973MaRDI QIDQ1957006

Yurii A. Al'pin

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610010025

zbMATH Keywords

nonnegative matricesmax algebraidempotent algebraidempotent semifieldidempotent semiringspectral max-radiusupper and lower joint spectral radius

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Max-plus and related algebras (15A80)

Related Items (1)

Comparison of max-plus automata and joint spectral radius of tropical matrices

Cites Work

• Bounds for the Perron root using max eigenvalues
• On the max version of the generalized spectral radius theorem
• Asymptotic behaviour of the partition function
• On the regularity of de Rham curves
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