When the matrices A and Q have special structure, the structure-preserving
algorithmwas used to compute the stabilizing solution of the complexmatrix equation X+ATX-1A=Q. In this paper, we study the numerical methods to solve the complex
symmetric stabilizing solution of the general matrix equation X+ATX-1A=Q. We
not only establish the global convergence for the methods under an assumption, but
also show the feasibility and effectiveness of them by numerical experiments.