Enviar artigo por via de e-mail Approximation by matrices with simple spectra
- Autores: Gumerov R.1, Vidunov S.1
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Afiliações:
- Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
- Edição: Volume 37, Nº 3 (2016)
- Páginas: 240-243
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197617
- DOI: https://doi.org/10.1134/S1995080216030112
- ID: 197617
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This note deals with a problem on approximation of a matrix tuple by a finite family of diagonalizable matrices with simple eigenvalues. In addition, for a given tuple of matrix functions, it is required that the product of their values at those diagonalizable matrices has a simple spectrum. We solve this problem making use of topological properties of the full matrix algebra.
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Sobre autores
R. Gumerov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
Autor responsável pela correspondência
Email: renat.gumerov@kpfu.ru
Rússia, Kremlevskaya 35, Kazan, Tatarstan, 420008
S. Vidunov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
Autor responsável pela correspondência
Email: vidunov_pc@mail.ru
Rússia, Kremlevskaya 35, Kazan, Tatarstan, 420008
