A min-plus analogue of the Jordan canonical form associated with the basis of the generalized eigenspace

DOI10.1080/03081087.2019.1700892zbMath1483.15019OpenAlexW2992176540MaRDI QIDQ5860879

Kohei Sato, Yuki Nishida, Sennosuke Watanabe

Publication date: 24 November 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1700892

zbMATH Keywords

Jordan canonical formweighted directed graphmin-plus algebramin-plus matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20) Canonical forms, reductions, classification (15A21) Max-plus and related algebras (15A80) Diagonalization, Jordan forms (15A20) Foundations of tropical geometry and relations with algebra (14T10)

Related Items (1)

On the vectors associated with the roots of max-plus characteristic polynomials.

Cites Work

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• Supertropical matrix algebra
• Supertropical matrix algebra. III: Powers of matrices and their supertropical eigenvalues
• Supertropical matrix algebra. II: Solving tropical equations
• Linear independence over tropical semirings and beyond
• Max-linear Systems: Theory and Algorithms

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