V. N. Razzhevaikin, E. E. Tyrtyshnikov, “On stability indicators of nonnegative matrices”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 490,Pages <nobr>51

This article is cited in 2 papers

MATHEMATICS

On stability indicators of nonnegative matrices

V. N. Razzhevaikin^a, E. E. Tyrtyshnikov^b

^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

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.

UDC: 519.614.2

Received: 27.09.2019
Revised: 27.09.2019
Accepted: 29.10.2019

DOI: 10.31857/S2686954320010063