In this paper, a splitting iterative method and the corresponding preconditioner are studied for solving a class of complex symmetric linear systems via real equivalent forms. The unconditional convergence theory of the new iterative method is established, and the eigenvalue distribution of the corresponding preconditioned matrix is analyzed. Numerical experiments are given to verify our theoretical results and illustrate effectiveness of the proposed iterative method and the corresponding splitting preconditioner.
This work is supported by the National Natural Science
Foundation of China (No. 11861059).
"A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form." Adv. Studies: Euro-Tbilisi Math. J. 14 (4) 189 - 202, December 2021. https://doi.org/10.3251/asetmj/1932200821