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

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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.

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Published

2025-04-25

How to Cite

Prokip, V. M. (2025). On solvability of the matrix equation AX+YB=C over principal ideal domains. Modeling, Control and Information Technologies, (7), 264–267. https://doi.org/10.31713/MCIT.2024.081

Issue

No. 7 (2024): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

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Copyright (c) 2024 Modeling, Control and Information Technologies: Proceedings of International scientific and practical conference

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