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Reports (Research Report) Year : 2000

Coupling Time of a (Max,Plus) Matrix

Anne Bouillard
Bruno Gaujal


In this note, we give a bound on the coupling time of an irreducible (max,plus) linear system $X(n) = A \otimes X(n-1)$ with its pseudo-periodic regime. This bounds uses a decomposition of the matrix $A$ into its critical part $A_c$ and its non-critical part $B$, as well as the maximal average weight of a circuit in $B$, which could be seen as the counterpart of the second largest eigenvalue in the classical linear case.


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Dates and versions

inria-00072568 , version 1 (24-05-2006)


  • HAL Id : inria-00072568 , version 1


Anne Bouillard, Bruno Gaujal. Coupling Time of a (Max,Plus) Matrix. [Research Report] RR-4068, INRIA. 2000. ⟨inria-00072568⟩
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