Abstract
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. AMS subject classifications: 65F10, 65F35, 65F50
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