A class of modified GSS preconditioners for complex symmetric linear systems

ABSTRACT

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.

Keywords:

• Complex symmetric linear systems
• preconditioner
• shift-splitting
• iterative method
• saddle point problem

2010 AMS Subject Classifications:

• 65F10
• 65F15
• 65F50

Acknowledgments

The author acknowledges the Chinese Universities Specialized Research Fund (31920190028).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The author acknowledges Fundamental Research Funds for the Central Universities (31920190028, 31920190029), and the Innovation Team ofIntelligent Computing and Dynamical System Analysis and Applicationof Northwest Minzu University.