Geodesic
On the Construction of Stability Indicators for Nonnegative Matrices
Matematičeskie zametki, Tome 109 (2021) no. 3, pp. 407-418.

Voir la notice de l'article provenant de la source Math-Net.Ru

Given a square nonnegative matrix $A$, a simple algorithm is suggested for constructing a stability indicator characterizing the localization of its spectrum in the unit disk. Theorems are proved which establish the possibility to use the maximum of $1-\det(I-J)$ over all possible principal submatrices $J$ of $A$ as a suitable indicator and give conditions under which such a maximum can be calculated only over a certain chain of leading principal submatrices. Applied problems that need such constructions and a relationship between the obtained results and similar results established for a number of matrices of special form are considered.
Mots-clés : nonnegative matrix
Keywords: stability indicator. 
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V. N. Razzhevaikin; E. E. Tyrtyshnikov. On the Construction of Stability Indicators for Nonnegative Matrices. Matematičeskie zametki, Tome 109 (2021) no. 3, pp. 407-418. http://geodesic.mathdoc.fr/item/MZM_2021_109_3_a7/

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