In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving -Hermicity over the quaternion skew field within the framework of the theory of noncommutative column-row determinants.
"Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation." Abstr. Appl. Anal. 2019 1 - 14, 2019. https://doi.org/10.1155/2019/5926832