Email this article On the Similarity of Certain Integer Matrices with Single Eigenvalue over the Ring of Integers
- Authors: Sidorov S.V.1
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Affiliations:
- Lobachevskii Nizhny Novgorod National Research State University
- Issue: Vol 105, No 5-6 (2019)
- Pages: 756-762
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151749
- DOI: https://doi.org/10.1134/S0001434619050122
- ID: 151749
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Abstract
The problem of the similarity of integer matrices with single eigenvalue over the ring of integers is considered. A criterion for a matrix to be similar to a Jordan block is obtained. In addition, a similarity criterion for matrices whose minimal polynomial has degree 2 is obtained.
About the authors
S. V. Sidorov
Lobachevskii Nizhny Novgorod National Research State University
Author for correspondence.
Email: sesidorov@yandex.ru
Russian Federation, Nizhny Novgorod, 603950
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