Interval max-plus systems of linear equations

DOI10.1016/j.laa.2012.04.051zbMath1272.15003OpenAlexW1983041099MaRDI QIDQ448340

Helena Myšková

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.051

zbMATH Keywords

weak solvabilitylinear equationsmax-plus algebrabounded solutionsinterval systemstrong solvabilitystrong T6 solvabilitystrong T7 solvabilityT6-vectorT7-vectorweak T6 solvabilityweak T7 solvability

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Linear equations (linear algebraic aspects) (15A06) Max-plus and related algebras (15A80)

Related Items

Strong solvability of interval max-plus systems and applications to optimal control ⋮ On the solvability of interval max-min matrix equations ⋮ Interval strong solutions of interval systems of max-plus linear equations ⋮ Calculus of meet plus hyperalgebra (tropical semihyperrings) ⋮ Universal solvability of interval max-plus matrix equations ⋮ Global optimization for max-plus linear systems and applications in distributed systems ⋮ Interval max-plus matrix equations ⋮ Interval multi-linear systems for tensors in the max-plus algebra and their application in solving the job shop problem

Cites Work

• Unnamed Item
• On the \(O(n^{3})\) algorithm for checking the strong robustness of interval fuzzy matrices
• Minimax algebra
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• Control solvability of interval systems of max-separable linear equations
• Interval systems of max-separable linear equations
• Interval systems of max-separable linear equations

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