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Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function

The possible instability of partial indices is one of the important constraints in the creation of approximate methods for the factorization of matrix functions. This paper is devoted to a study of a specific class of triangular matrix functions given on the unit circle with a stable and unstable se...

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Vydáno v:Proc Math Phys Eng Sci
Hlavní autoři: Adukov, Victor M., Mishuris, Gennady, Rogosin, Sergei V.
Médium: Artigo
Jazyk:Inglês
Vydáno: The Royal Society Publishing 2020
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC7277130/
https://ncbi.nlm.nih.gov/pubmed/32518505
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2020.0099
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