Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra

DOI10.1080/10236198.2023.2277714OpenAlexW4388283021MaRDI QIDQ6197576

Akiko Fukuda, Sennosuke Watanabe, Unnamed Author

Publication date: 20 March 2024

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2023.2277714

zbMATH Keywords

eigenvaluemin-plus algebrabox and ball systemultradiscrete hungry Toda equation

Mathematics Subject Classification ID

Max-plus and related algebras (15A80) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Cites Work

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• The QR algorithm and scattering for the finite nonperiodic Toda lattice
• Integrable discrete hungry systems and their related matrix eigenvalues
• Analysis and control of max-plus linear discrete-event systems: an introduction
• Integrable lattices and convergence acceleration algorithms
• Graphs, dioids and semirings. New models and algorithms.
• Min-plus eigenvalue of tridiagonal matrices in terms of the ultradiscrete Toda equation
• The discrete hungry Lotka–Volterra system and a new algorithm for computing matrix eigenvalues
• On the convergence of a solution of the discrete Lotka Volterra system
• An application of the discrete Lotka–Volterra system with variable step-size to singular value computation
• Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization

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