Email this article On the Divisibility of Matrices with Remainder over the Domain of Principal Ideals
- Authors: Prokip V.М.1
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Affiliations:
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 243, No 1 (2019)
- Pages: 45-55
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243055
- DOI: https://doi.org/10.1007/s10958-019-04524-2
- ID: 243055
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Abstract
We study the problem of divisibility of matrices with remainder over a domain of principal ideals R and establish the conditions under which, for a pair of (n × n)-matrices A and B over the domain R , there exists a unique pair of (n × n)-matrices P and Q over R such that B = AP +Q. The application of the obtained results to finding special solutions of a Sylvester-type matrix equation is presented.
About the authors
V. М. Prokip
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Author for correspondence.
Email: melissa.delgado@springer.com
Ukraine, Lviv
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