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On Stability Indicators of Nonnegative Matrices

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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.

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REFERENCES

  1. V. N. Razzhevaikin, Comput. Math. Math. Phys. 50 (2), 322–329 (2010).

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Authors and Affiliations

  1. Federal Research Center Computer Science and Control, Russian Academy of Sciences, 119333, Moscow, Russia

    V. N. Razzhevaikin

  2. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia

    E. E. Tyrtyshnikov

Authors
  1. V. N. Razzhevaikin
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  2. E. E. Tyrtyshnikov
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Corresponding authors

Correspondence to V. N. Razzhevaikin or E. E. Tyrtyshnikov.

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Translated by I. Ruzanova

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Razzhevaikin, V.N., Tyrtyshnikov, E.E. On Stability Indicators of Nonnegative Matrices. Dokl. Math. 101, 43–45 (2020). https://doi.org/10.1134/S1064562420010068

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  • DOI: https://doi.org/10.1134/S1064562420010068

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