Email this article Approximation by matrices with simple spectra
- Authors: Gumerov R.N.1, Vidunov S.I.1
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Affiliations:
- Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 37, No 3 (2016)
- Pages: 240-243
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197617
- DOI: https://doi.org/10.1134/S1995080216030112
- ID: 197617
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Abstract
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.
About the authors
R. N. Gumerov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: renat.gumerov@kpfu.ru
Russian Federation, Kremlevskaya 35, Kazan, Tatarstan, 420008
S. I. Vidunov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: vidunov_pc@mail.ru
Russian Federation, Kremlevskaya 35, Kazan, Tatarstan, 420008
