Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations

Abstract

In this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained. The proposed algorithm is very simple and convenient because it only involves real operations. Some numerical examples are provided to illustrate the feasibility of the proposed algorithm.

Keywords

• commutative quaternion
• sylvester matrix equation
• cramer’s rule
• 16h05
• 15a24