Geodesic
On stability indicators of nonnegative matrices
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 51-54

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For a nonnegative square matrix, a method of constructing a stability indicator in the form of a polynomial in matrix coefficients is presented. Additionally, an algorithm for indicator calculation is described and the relationship of the resulting indicator with determinants of some matrices built on the basis of the original one is demonstrated.
Keywords: nonnegative matrix, stability indicator, spectral radius. 
@article{DANMA_2020_490_a10,
     author = {V. N. Razzhevaikin and E. E. Tyrtyshnikov},
     title = {On stability indicators of nonnegative matrices},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {51--54},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_490_a10/}
}
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V. N. Razzhevaikin; E. E. Tyrtyshnikov. On stability indicators of nonnegative matrices. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 51-54. http://geodesic.mathdoc.fr/item/DANMA_2020_490_a10/