Email this article Approximate factorization for a class of second-order matrix functions
- Authors: Kiyasov S.N.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 38, No 6 (2017)
- Pages: 1131-1145
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/200648
- DOI: https://doi.org/10.1134/S1995080217060166
- ID: 200648
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Abstract
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.
About the authors
S. N. Kiyasov
Kazan Federal University
Author for correspondence.
Email: Sergey.Kijasov@kpfu.ru
Russian Federation, Kazan, 420008
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