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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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Detalhes bibliográficos
Publicado no:Proc Math Phys Eng Sci
Main Authors: Adukova, N. V., Adukov, V. M.
Formato: Artigo
Idioma:Inglês
Publicado em: The Royal Society Publishing 2020
Assuntos:
Acesso em linha: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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