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Journal of Mathematical Sciences

, Volume 243, Issue 1, pp 45–55 | Cite as

On the Divisibility of Matrices with Remainder over the Domain of Principal Ideals

  • V. М. Prokip
Article
  • 3 Downloads

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.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • V. М. Prokip
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of SciencesLvivUkraine

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