Geodesic
On stability indicators of nonnegative matrices
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 51-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : nonnegative matrix
Keywords: stability indicator, spectral radius. 
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     author = {V. N. Razzhevaikin and E. E. Tyrtyshnikov},
     title = {On stability indicators of nonnegative matrices},
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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/

[1] Razzhevaikin V.N., “Funktsionaly otbora v avtonomnykh modelyakh biologicheskikh sistem s nepreryvnoi vozrastnoi i prostranstvennoi strukturoi”, ZhVMiMF, 50:2 (2010), 338–346 | MR | Zbl

[2] Berman A., Plemmons R.J., Nonnegative matrices in the mathematical sciences, Acad. Press, N.Y., 1979, 340 pp. | MR | Zbl

[3] Uotkins D., Osnovy matrichnykh vychislenii, Binom, Laboratoriya znanii, M., 2006, 664 pp.