Geodesic
Upper bounds for the spectral radius of a PF matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 56-63 
L. Yu. Kolotilina. Upper bounds for the spectral radius of a PF matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVI, Tome 524 (2023), pp. 56-63. http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a4/
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     author = {L. Yu. Kolotilina},
     title = {Upper bounds for the spectral radius of a {PF} matrix},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The paper suggests and illustrates a simple unified approach to deriving upper bounds for the dominant eigenvalues of the so-called PF matrices (or matrices with the Perron–Frobenius property) from those for the Perron root of a nonnegative matrix.

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[2] L. Yu. Kolotilina, “Ob uluchshenii otsenok Chistyakova dlya perronovskogo kornya neotritsatelnoi matritsy”, Zap. nauchn. semin. POMI, 346, 2007, 103–118

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