Email this article Differential equations over subalgebras of the full matrix algebra
- Authors: Derevenskii V.P.1
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Affiliations:
- Kazan State University of Architecture and Engineering
- Issue: Vol 53, No 10 (2017)
- Pages: 1372-1377
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154603
- DOI: https://doi.org/10.1134/S0012266117100147
- ID: 154603
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Abstract
We consider a general matrix differential equation whose parameters and solution are defined over subalgebras of the full matrix algebra. Some subalgebras are presented over which the equation splits into a set of equations over matrices of smaller orders. Multiplicative matrix equations of higher order in normal form are introduced and studied over some subalgebras of 2 × 2 matrices.
About the authors
V. P. Derevenskii
Kazan State University of Architecture and Engineering
Author for correspondence.
Email: v_derevenskiy@mail.ru
Russian Federation, Kazan, 420043
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