A class of modified GSS preconditioners for complex symmetric linear systems. Issue 9 (2nd September 2021)

• Record Type: Journal Article
• Authors: Bai, Yu-Qin
• Is Part Of: International journal of computer mathematics. Volume 98:Issue 9(2021)
• Page Start: 1713
• Page End: 1726
• Publication Date: 2021-09-02
• Subjects: Complex symmetric linear systems -- preconditioner -- shift-splitting -- iterative method -- saddle point problem; 65F10 -- 65F15 -- 65F50; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2020.1849638
• Languages: English
• ISSNs: 0020-7160

Abstract

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.