On Stability Indicators of Nonnegative Matrices

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...

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Bibliographic Details
Published in:Doklady. Mathematics 2020, Vol.101 (1), p.43-45
Main Authors: Razzhevaikin, V. N., Tyrtyshnikov, E. E.
Format: Article
Language:English
Subjects:
Algorithms
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Stability
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Description
Summary: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.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562420010068