The generalized spectral radius is strictly increasing

DOI10.1016/j.laa.2004.07.013zbMath1070.15007OpenAlexW2071916572MaRDI QIDQ1765909

Fabian R. Wirth

Publication date: 23 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.07.013

zbMATH Keywords

monotonicitystability radiusgeneralized spectral radiusjoint spectral radiusirreducibility

Mathematics Subject Classification ID

Robust stability (93D09) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (4)

Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius ⋮ Duality results for the joint spectral radius and transient behavior ⋮ Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms ⋮ Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms

Cites Work

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• The Lyapunov indicator of discrete inclusions. III
• Bounded semigroups of matrices
• Analysis of the local robustness of stability for flows
• The generalized spectral radius and extremal norms
• Convex Analysis
• Irreducible semigroups with multiplicative spectral radius

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