A SHSS–SS iteration method for non-Hermitian positive definite linear systems

Autor: Cui-Xia Li, Shi-Liang Wu
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Results in Applied Mathematics, Vol 13, Iss , Pp 100225- (2022)
Druh dokumentu: article
ISSN: 2590-0374
DOI: 10.1016/j.rinam.2021.100225
Popis: In this paper, based on the single-step HSS (SHSS) method and shift-splitting (SS) method, we propose a SHSS–SS iteration method to solve the non-Hermitian positive definite linear systems by coupling the SHSS method with the SS method. Theoretical analysis shows that the SHSS–SS method is convergent under suitable conditions. Numerical experiments are reported to verify the efficiency of the SHSS–SS method; numerical comparisons show that the proposed SHSS–SS method is superior to the SHSS method and the SS method.
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