On Solvability of the Matrix Equation AX – XB = C over Integer Rings

Authors

  • Volodymyr Prokip Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine

DOI:

https://doi.org/10.31713/MCIT.2019.04

Keywords:

matrix, Sylvester equation, integer domain.

Abstract

In this communication we present conditions of
solvability of Sylvester matrix equation AX – XB = C over integer
domains. The necessary and sufficient conditions of solvability of
Sylvester equation in term of columns equivalence of matrices
constructed in a certain way by using the coefficients of this
equation are proposed

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Published

2019-11-05

How to Cite

Prokip, V. (2019). On Solvability of the Matrix Equation AX – XB = C over Integer Rings. Modeling, Control and Information Technologies, (3), 55–58. https://doi.org/10.31713/MCIT.2019.04

Issue

No. 3 (2019): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.