\(\mathbf{X}\)-simple image eigencones of tropical matrices

DOI10.1016/j.laa.2016.06.013zbMath1347.15034arXiv1511.00877OpenAlexW1922166996MaRDI QIDQ306441

F. Blanchet-Sadri, M. Dambrine

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1511.00877

zbMATH Keywords

eigenvalueeigenvectorinterval analysistropical matrices\(\max\) algebraeigenconeone-sided systemweakly robust

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Eigenvalues, singular values, and eigenvectors (15A18) Max-plus and related algebras (15A80)

Related Items (4)

Local and global robustness with \(q\)-step delay for max-plus linear systems ⋮ Regularity of interval max-plus matrices ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Max-plus steady states in discrete event dynamic systems with inexact data

Cites Work

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• The weak robustness of interval matrices in max-plus algebra
• Max-algebraic attraction cones of nonnegative irreducible matrices
• Systems of linear interval equations
• Generators, extremals and bases of max cones
• On visualization scaling, subeigenvectors and Kleene stars in max algebra
• Minimax algebra
• Simple image set of (max,+) linear mappings
• Computing the vertices of tropical polyhedra using directed hypergraphs
• Control solvability of interval systems of max-separable linear equations
• Max-linear Systems: Theory and Algorithms
• Recognizing Weakly Stable Matrices
• Interval systems of max-separable linear equations

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