Generalized spectral radius and its max algebra version

DOI10.1016/j.laa.2012.09.024zbMath1281.15009OpenAlexW2136053730MaRDI QIDQ389566

Aljoša Peperko, Vladimír Müller

Publication date: 21 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.09.024

zbMATH Keywords

continuitytracegeneralized spectral radiusjoint spectral radiusmax algebraHausdorff distanceBerger-Wang formulamax-tracemaximum cycle geometric meanSchur-Hadamard product

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Max-plus and related algebras (15A80)

Related Items (12)

On the Bonsall cone spectral radius and the approximate point spectrum ⋮ Lower spectral radius and spectral mapping theorem for suprema preserving mappings ⋮ Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Perron-Frobenius theory for some classes of nonnegative tensors in the max algebra ⋮ Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ On the numerical ranges of matrices in max algebra ⋮ Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius ⋮ Uniform boundedness principle for nonlinear operators on cones of functions ⋮ On the spectrum in max algebra ⋮ Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces ⋮ Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

Cites Work

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• Performance evaluation of (max,+) automata

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