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

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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. 
@article{ZNSL_2023_524_a4,
     author = {L. Yu. Kolotilina},
     title = {Upper bounds for the spectral radius of a {PF} matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {56--63},
     publisher = {mathdoc},
     volume = {524},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2023_524_a4/}
}
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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/