An Algorithm for Solving the Sylvester s-Conjugate Elliptic Quaternion Matrix Equations

In this study, the existence of the solution to Sylvester s-conjugate elliptic quaternion matrix equations is characterized and the solution is obtained in an explicit form by means of real representation of an elliptic quaternion matrix. Moreover, a pseudo-code for our method is presented. Actually, Sylvester conjugate matrix equation over the complex field form a special class of Sylvester s-conjugate elliptic quaternion matrix equations. Thus, the obtained results extend, generalize and complement the scope of Sylvester conjugate matrix equations known in the literature.