Geodesic
A bound for the rank-one transient of inhomogeneous matrix products in special case
Kybernetika, Tome 55 (2019) no. 1, pp. 12-23.

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We consider inhomogeneous matrix products over max-plus algebra, where the matrices in the product satisfy certain assumptions under which the matrix products of sufficient length are rank-one, as it was shown in [6] (Shue, Anderson, Dey 1998). We establish a bound on the transient after which any product of matrices whose length exceeds that bound becomes rank-one.
DOI : 10.14736/kyb-2019-1-0012
Classification : 05C20, 05C22, 05C25, 15A80, 16Y60, 68R99
Keywords: max-plus algebra; matrix product; rank-one; walk; Trellis digraph 
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     title = {A bound for the rank-one transient of inhomogeneous matrix products in special case},
     journal = {Kybernetika},
     pages = {12--23},
     publisher = {mathdoc},
     volume = {55},
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     doi = {10.14736/kyb-2019-1-0012},
     mrnumber = {3935412},
     zbl = {07088876},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0012/}
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Kennedy-Cochran-Patrick, Arthur; Sergeev, Sergeĭ; Berežný, Štefan. A bound for the rank-one transient of inhomogeneous matrix products in special case. Kybernetika, Tome 55 (2019) no. 1, pp. 12-23. doi : 10.14736/kyb-2019-1-0012. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0012/

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