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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 51–54
DOI: https://doi.org/10.31857/S2686954320010063 (Mi danma32) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On stability indicators of nonnegative matrices

V. N. Razzhevaikina, E. E. Tyrtyshnikovb

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russian Federation
b Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320010063
Abstract: 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.
Received: 27.09.2019
Revised: 27.09.2019
Accepted: 29.10.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 43–45
DOI: https://doi.org/10.1134/S1064562420010068
Bibliographic databases:
Document Type: Article
UDC: 519.614.2
Language: Russian
Citation: V. N. Razzhevaikin, E. E. Tyrtyshnikov, “On stability indicators of nonnegative matrices”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 51–54; Dokl. Math., 101:1 (2020), 43–45
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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