(R, S) conjugate solution to coupled Sylvester complex matrix equations with conjugate of two unknowns

In this work, we are concerned with (R, S) – conjugate solutions to coupled Sylvester complex matrix equations of two unknowns. When the considered consistent, it is demonstrated that can be obtained by utilizing iterative algorithm for any initial arbitrary (R,S) matrices V1,W1. A necessary and sufficient condition established guarantee proposed method converges solutions. Finally, numerical examples provided demonstrate efficiency described technique.