A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators

Abstract

By introducing the real linear operator, this paper offers a finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations. The properties of this algorithm are discussed and the finite convergence of this algorithm is proven. This algorithm unifies some finite iterative algorithms proposed by the earlier papers. Two numerical examples are offered to illustrate the effectiveness of the proposed algorithm.