Approximate factorization for a class of second-order matrix functions
- Autores: Kiyasov S.1
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Afiliações:
- Kazan Federal University
- Edição: Volume 38, Nº 6 (2017)
- Páginas: 1131-1145
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200648
- DOI: https://doi.org/10.1134/S1995080217060166
- ID: 200648
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Resumo
The notion of approximate factorization of a Hölder matrix function on a simple smooth closed contour is introduced. The elements of a (2 × 2)-matrix function of a special form are approximated by polynomials in z and 1/z. Sufficient conditions for the vanishing of the partial indices of the approximating matrix function are found. Factorization of the approximating matrix function is explicitly constructed.
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Sobre autores
S. Kiyasov
Kazan Federal University
Autor responsável pela correspondência
Email: Sergey.Kijasov@kpfu.ru
Rússia, Kazan, 420008