Approximation by matrices with simple spectra
- Авторлар: Gumerov R.1, Vidunov S.1
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Мекемелер:
- Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
- Шығарылым: Том 37, № 3 (2016)
- Беттер: 240-243
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197617
- DOI: https://doi.org/10.1134/S1995080216030112
- ID: 197617
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
R. Gumerov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
Хат алмасуға жауапты Автор.
Email: renat.gumerov@kpfu.ru
Ресей, Kremlevskaya 35, Kazan, Tatarstan, 420008
S. Vidunov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
Хат алмасуға жауапты Автор.
Email: vidunov_pc@mail.ru
Ресей, Kremlevskaya 35, Kazan, Tatarstan, 420008