Geodesic
On the problem $Ax=\lambda Bx$ in max algebra: every system of intervals is a spectrum
Kybernetika, Tome 47 (2011) no. 5, pp. 715-721

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We consider the two-sided eigenproblem $A\otimes x=\lambda\otimes B\otimes x$ over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.
Classification : 15A22, 15A80, 91A46, 93C65
Keywords: extremal algebra; tropical algebra; generalized eigenproblem 
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     author = {Sergeev, Serge\u{i}},
     title = {On the problem $Ax=\lambda Bx$ in max algebra: every system of intervals is a spectrum},
     journal = {Kybernetika},
     pages = {715--721},
     publisher = {mathdoc},
     volume = {47},
     number = {5},
     year = {2011},
     mrnumber = {2850458},
     zbl = {1248.15023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2011__47_5_a3/}
}
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Sergeev, Sergeĭ. On the problem $Ax=\lambda Bx$ in max algebra: every system of intervals is a spectrum. Kybernetika, Tome 47 (2011) no. 5, pp. 715-721. http://geodesic.mathdoc.fr/item/KYB_2011__47_5_a3/