Solutions to Periodic Sylvester Matrix Equations Based on Matrices Splitting.

New iterative algorithms are introduced to solve periodic Sylvester matrix equations in this paper. The iterative algorithms are based on the principle of matrix splitting and gradient iteration method. Detailed iterative steps for solving equations are presented and their convergence property are strictly verified. A numerical test is employed to prove the correctness and effectiveness of the iterative algorithms. [ABSTRACT FROM AUTHOR]