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\iteman{io-port 05813913}
\itemau{Wu, Ai-Guo; Feng, Gang; Duan, Guang-Ren; Wu, Wei-Jun}
\itemti{Iterative solutions to coupled Sylvester-conjugate matrix equations.}
\itemso{Comput. Math. Appl. 60, No. 1, 54-66 (2010).}
\itemab
Summary: This paper is concerned with iterative solutions to the coupled Sylvester-conjugate matrix equation with a unique solution. By applying a hierarchical identification principle, an iterative algorithm is established to solve this class of complex matrix equations. With a real representation of a complex matrix as a tool, a sufficient condition is given to guarantee that the iterative solutions given by the proposed algorithm converge to the exact solution for any initial matrices. In addition, a sufficient convergence condition that is easier to compute is also given by the original coefficient matrices. Finally, a numerical example is given to verify the effectiveness of the proposed algorithm.
\itemrv{~}
\itemcc{}
\itemut{coupled Sylvester-conjugate matrix equation; iterative algorithm; spectral norm; real representation; convergence}
\itemli{doi:10.1016/j.camwa.2010.04.029}
\end