An Improved SSOR-Like Preconditioner for the Non-Hermitian-Positive Definite Linear System with a Dominant Skew-Hermitian Part

被引：0
|
作者：
Song, Sheng-Zhong [1 ]
Huang, Zheng-Da [2 ]
Zhang, Bo-Han [2 ]
机构：
[1] Hangzhou City Univ, Fdn Sci Educ Ctr, Hangzhou 310015, Zhejiang, Peoples R China
[2] Zhejiang Univ, Sch Math Sci, Hangzhou 310058, Zhejiang, Peoples R China
来源：
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2024年
关键词：
Non-Hermitian positive definiteness; Dominant skew-Hermitian part; Improved SSOR-like (ISSOR-like); Preconditioner; Eigenvalue distribution; SPLITTING ITERATION METHODS;
D O I：
10.1007/s42967-024-00446-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An improved SSOR-like (ISSOR-like) preconditioner is proposed for the non-Hermitian positive definite linear system with a dominant skew-Hermitian part. The upper and lower bounds on the real and imaginary parts of the eigenvalues of the ISSOR-like preconditioned matrix and the convergence property of the corresponding ISSOR-like iteration method are discussed in depth. Numerical experiments show that the ISSOR-like preconditioner can effectively accelerate preconditioned GMRES.
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页数：17
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