The equation \(A \otimes x = B \otimes y\) over \((\max,+)\)

From MaRDI portal
Publication:1870582

DOI10.1016/S0304-3975(02)00228-1zbMath1021.65022MaRDI QIDQ1870582

Peter Butkovic, Raymond Cuninghame-Green

Publication date: 14 May 2003

Published in: Theoretical Computer Science (Search for Journal in Brave)




Related Items

Algebraic solutions of tropical optimization problemsA uniform synchronization problem over max-plus algebraAE solutions to two-sided interval linear systems over max-plus algebraUnnamed ItemWeakly linear systems for matrices over the max-plus quantaleOn max-plus linear dynamical system theory: the regulation problemTropicalizing the Simplex AlgorithmUnnamed ItemThe level set method for the two-sided max-plus eigenproblemFuzzy relation equations and inequalities with two unknowns and their applicationsUnnamed ItemAnalysis and control of max-plus linear discrete-event systems: an introductionInterval strong solutions of interval systems of max-plus linear equationsOn tropical fractional linear programmingTropical pseudolinear and pseudoquadratic optimization as parametric mean-payoff gamesOn the greatest solutions to weakly linear systems of fuzzy relation inequalities and equationsOn the solution of a two-sided vector equation in tropical algebraTropical linear-fractional programming and parametric mean payoff gamesWeak dual residuations applied to tropical linear equationsComplete solution of tropical vector inequalities using matrix sparsification.On two-sided max-linear equationsOn just-in-time control of timed event graphs with input constraints: a semimodule approachDynamical systems on weighted lattices: general theoryCompromise approach for predictive control of timed event graphs with specifications defined by P-time event graphsOn the control of max-plus linear system subject to state restrictionAn algorithm to describe the solution set of any tropical linear system \(A \odot x = B \odot x\)On the problem Ax=\lambda Bx in max algebra: every system of intervals is a spectrumOn max-min linear inequalities and coalitional resource games with sharable resourcesA strongly polynomial algorithm for solving two-sided linear systems in max-algebraBest approximation in max-plus semimodulesAn algorithm for solving two-sided interval system of max-plus linear equationsCyclic projectors and separation theorems in idempotent convex geometryOn the integer max-linear programming problemOn Special Cases of the Generalized Max-Plus EigenproblemUnnamed ItemInterval systems over idempotent semiringEigenvectors of interval matrices over max--plus algebraA multidimensional tropical optimization problem with a non-linear objective function and linear constraintsMoore-Penrose equations in involutive residuated semigroups and involutive quantalesA strongly polynomial method for solving integer max-linear optimization problems in a generic case



Cites Work