On solvability of the matrix equation AX+YB=C over principal ideal domains
In this communication we present conditions for solvability of the matrix equation AX + YB = C over the ring of integers . The necessary and sufficient conditions for the solvability of this equation in terms of the Smith normal forms of the matrices A and B are given. The conditions under which this equation has a minimal solution are also given.
Authors
- В. М. Прокіп (ORCID: https://orcid.org/0000-0001-5539-7904)
Institutions
- Pidstryhach Institute for Applied Problems of Mechanics and Mathematics (UA)
Publication Details
- Journal
- Modeling Control and Information Technologies
- Published
- 2024-12-11
- DOI
- https://doi.org/10.31713/mcit.2024.081
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00