In this study, we develop a general method to solve the linear elliptic quaternionic matrix equations by means of real representation quaternion matrices. A pseudocode for our approach that provides solution is expressed. Moreover, apply well-known Slyvester and Kalman Yakubovich over algebra.
in the present paper, we propose an iterative algorithm for solving the generalized $(p,q)$-reflexive solution of the quaternion matrix equation $overset{u}{underset{l=1}{sum}}a_{l}xb_{l}+overset{v} {underset{s=1}{sum}}c_{s}widetilde{x}d_{s}=f$. by this iterative algorit
In the present paper, we propose an iterative algorithm for solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix equation $\overset{u}{\underset{l=1}{\sum}}A_{l}XB_{l}+\overset{v} {\underset{s=1}{\sum}}C_{s}\widetilde{X}D_{s}=F$. By this iterative algorithm