A class of modified GSS preconditioners for complex symmetric linear systems

Recently, Chen and Ma [A generalized shift-splitting preconditioner for complex symmetric linear systems, J. Comput. Appl. Math., 344 (2018), pp. 691-700] have presented the generalized shift-splitting (GSS) method to solve complex symmetric linear systems. In this paper, we establish a class of mod...

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Bibliographic Details
Published in:International journal of computer mathematics 2021-09, Vol.98 (9), p.1713-1726
Main Author: Bai, Yu-Qin
Format: Article
Language:English
Subjects:
Complex symmetric linear systems
iterative method
Iterative methods
Linear systems
preconditioner
saddle point problem
shift-splitting
Splitting
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Summary:Recently, Chen and Ma [A generalized shift-splitting preconditioner for complex symmetric linear systems, J. Comput. Appl. Math., 344 (2018), pp. 691-700] have presented the generalized shift-splitting (GSS) method to solve complex symmetric linear systems. In this paper, we establish a class of modified GSS (MGSS) method to extend the existing GSS method. We prove the convergence of the proposed method under suitable restrictions on the iteration parameters. Lastly, numerical experiments are carried out, and experimental results show that the new iteration method is feasible and effective.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2020.1849638