A max version of the generalized spectral radius theorem

DOI10.1016/j.laa.2006.02.014zbMath1108.15009OpenAlexW2090423234MaRDI QIDQ852656

Yung-Yih Lur

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.02.014

zbMATH Keywords

joint spectral radiusmax algebramaximum circuit geometric mean

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

Generalized spectral radius and its max algebra version ⋮ On the numerical ranges of matrices in max algebra ⋮ The analytic hierarchy process, max algebra and multi-objective optimisation ⋮ Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius ⋮ On the max version of the generalized spectral radius theorem ⋮ On the continuity of the generalized spectral radius in max algebra ⋮ Spectral properties of matrix polynomials in the max algebra ⋮ \(P_{\max}^1\) and \(S_{\max}\) properties and asymptotic stability in the max algebra ⋮ Inequalities for the spectral radius of non-negative functions ⋮ Continuity of the generalized spectral radius in max algebra ⋮ Asymptotic formulae and inequalities for point spectrum in max algebra

Cites Work

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• Max-algebra and pairwise comparison matrices
• The generalized spectral-radius theorem: An analytic-geometric proof
• On the power method in max algebra
• The power algorithm in max algebra
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• Matrix Analysis
• Constructive stability and asymptotic stability of dynamical systems
• The perron root of a weighted geometric mean of nonneagative matrices
• Pattern Properties and Spectral Inequalities in Max Algebra
• Modifying the power method in max algebra

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