Отправить статью по E-mail On the Divisibility of Matrices with Remainder over the Domain of Principal Ideals
- Авторы: Prokip V.М.1
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Учреждения:
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Выпуск: Том 243, № 1 (2019)
- Страницы: 45-55
- Раздел: 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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Аннотация
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.
Об авторах
V. Prokip
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Автор, ответственный за переписку.
Email: melissa.delgado@springer.com
Украина, Lviv
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