A Class of Iterative Methods for Solving Sylvester Matrix Equations

摘要

We propose some simple iterative methods fot the solution of Sylvester matrix equation AX+XB=C based on the splitting of the matrices A and B. The proposed methods are generalization of the classical stationary iterative methods for the solution of Ax=b. We give some convergence results for the proposed methods. The superiority of our proposed methods is that, it require less storage and is easy to implement.