We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).
This work is supported by the National Natural Science Funds of China for Distinguished Young Scholar (No. 10825211) and the Key project of Natural Science Foundation of China (No. 10932012).
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