Approximation by matrices with simple spectra
- 作者: Gumerov R.1, Vidunov S.1
-
隶属关系:
- Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 37, 编号 3 (2016)
- 页面: 240-243
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197617
- DOI: https://doi.org/10.1134/S1995080216030112
- ID: 197617
如何引用文章
详细
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.
作者简介
R. Gumerov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: renat.gumerov@kpfu.ru
俄罗斯联邦, Kremlevskaya 35, Kazan, Tatarstan, 420008
S. Vidunov
Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: vidunov_pc@mail.ru
俄罗斯联邦, Kremlevskaya 35, Kazan, Tatarstan, 420008
![](/img/style/loading.gif)