Abstract
In this paper, we introduce a preconditioned variant of the modified quasi-Hermitian and skew-Hermitian splitting (MQHSS) iteration method for a class of complex symmetric linear systems. In theory, we analyze the convergence conditions of the preconditioned MQHSS (PMQHSS) iteration method and discuss the convergence domain of the parameters contained in the proposed method. Especially, the convergence properties of the PMQHSS method with \(V=T\) are established. Finally, numerical experiments show the effectiveness and robustness of our method and preconditioner.
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Communicated by Zhong-Zhi Bai.
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This work is supported by the Guangxi Natural Science Foundations (No. 2021GXNSFBA196064, Guike AD21220129), the National Science Foundation of China (No. 11901123), the Guangxi Natural Science Foundations (2019GXNSFBA185014, Guike AD20159056), the Natural Science Foundation of Guangxi University for Nationalities (No. 2019KJQN001), and the Graduate Innovation Program of Guangxi University for Nationalities (No. gxun-chxs 2021056).
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Li, B., Cui, J., Huang, Z. et al. On preconditioned MQHSS iterative method for solving a class of complex symmetric linear systems. Comp. Appl. Math. 41, 250 (2022). https://doi.org/10.1007/s40314-022-01942-y
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DOI: https://doi.org/10.1007/s40314-022-01942-y
Keywords
- PMQHSS iteration method
- Symmetric positive semi-definite
- Symmetric positive definite
- PMHSS iteration method