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On effective criterion of stability of partial indices for matrix polynomials

In the work, we obtain an effective criterion of the stability of the partial indices for matrix polynomials under an arbitrary sufficiently small perturbation. Verification of the stability is reduced to calculation of the ranks for two explicitly defined Toeplitz matrices. Furthermore, we define a...

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Bibliografiske detaljer
Udgivet i:Proc Math Phys Eng Sci
Main Authors: Adukova, N. V., Adukov, V. M.
Format: Artigo
Sprog:Inglês
Udgivet: The Royal Society Publishing 2020
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7428029/
https://ncbi.nlm.nih.gov/pubmed/32831588
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2020.0012
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