On matrix powers in max-algebra

DOI10.1016/j.laa.2006.09.027zbMath1131.15008OpenAlexW2095988315MaRDI QIDQ869906

Peter Butkovic, Raymond Cuninghame-Green

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.027

zbMATH Keywords

eigenvalueeigenvectoreigenspacemax-algebrasemiringirreducible matrixmatrix powersmax-plus operators

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Max-plus and related algebras (15A80)

Related Items (8)

Max algebraic powers of irreducible matrices in the periodic regime: an application of cyclic classes ⋮ On the \(\lambda \)-robustness of matrices over fuzzy algebra ⋮ The robustness of interval fuzzy matrices ⋮ Two cores of a nonnegative matrix ⋮ The robustness of interval matrices in max-plus algebra ⋮ Permuted max-algebraic eigenvector problem is \(NP\)-complete ⋮ Duality and interval analysis over idempotent semirings ⋮ Max-algebraic attraction cones of nonnegative irreducible matrices

Cites Work

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• Minimax algebra and applications
• A characterization of the minimum cycle mean in a digraph
• Linear matrix period in max-plus algebra
• Minimal (max,+) Realization of Convex Sequences

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