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: Proceedings of International Scientific and Practical Conference, (3), 55–58. https://doi.org/10.31713/MCIT.2019.04

Issue

2019: Modeling, control and information technologies: Proceedings of III International scientific and practical conference

Section

Mathematical modelling and computational methods