Weak dual residuations applied to tropical linear equations

DOI10.1016/j.laa.2013.10.044zbMath1294.15017OpenAlexW2043075780MaRDI QIDQ2442282

Carlos Andrey Maia, Vinicius Mariano Gonçalves, Laurent Hardouin

Publication date: 2 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.10.044

zbMATH Keywords

semimodulestropical algebraKleene closuretropical linear equationsweak residuation

Mathematics Subject Classification ID

Related Items (1)

On tropical fractional linear programming

Cites Work

• Tropical linear-fractional programming and parametric mean payoff games
• An algorithm to describe the solution set of any tropical linear system \(A \odot x = B \odot x\)
• A decomposition formula of idempotent polyhedral cones based on idempotent superharmonic spaces
• Interval systems over idempotent semiring
• Duality and separation theorems in idempotent semimodules.
• Duality and interval analysis over idempotent semirings
• The equation \(A \otimes x = B \otimes y\) over \((\max,+)\)
• Tropical convexity
• The level set method for the two-sided max-plus eigenproblem
• A strongly polynomial algorithm for solving two-sided linear systems in max-algebra
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