On solvability of the matrix equation AX+YB=C over principal ideal domains

Authors

DOI:

https://doi.org/10.31713/MCIT.2024.081

Abstract

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.

Downloads

Published

2024-12-07

How to Cite

Prokip, V. M. (2024). On solvability of the matrix equation AX+YB=C over principal ideal domains. Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference, (7), 264–267. https://doi.org/10.31713/MCIT.2024.081

Issue

No. 7 (2024): Modeling, control and information technologies: Proceedings of VII International scientific and practical conference

Section

Mathematical, computer modeling and computational methods