Solving Sylvester equation with complex symmetric semi-definite positive coefficient matrices


Akbar Shirilord, Gholamreza Karamali, Mehdi Dehghan




Combination of real and imaginary parts (CRI) works well for solving complex symmetric linear systems. This paper develops a generalization of CRI method to determine the solution of Sylvester matrix equation. We show that this, regardless of condition, converges to solution of the Sylvester equation. At the end we test the new scheme by solving a numerical example.