A modified SSOR-like preconditioner for non-Hermitian positive definite matrices

被引：1

作者：

Song, Sheng-Zhong ^{[1
]}

Huang, Zheng-Da ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2021年 / 164卷

关键词：

Non-Hermitian positive definiteness; Dominant Hermitian part; MSSOR-like iteration; Preconditioner; Eigenvalue distribution;

D O I：

10.1016/j.apnum.2020.11.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A modified SSOR-like (MSSOR-like) preconditioner is constructed for a non-Hermitian positive definite linear system with a dominant Hermitian part. The eigenvalue distribution of the MSSOR-like preconditioned matrix and the convergence property of the corresponding MSSOR-like iteration method are discussed in depth. Numerical experiments show that the MSSOR-like preconditioner can lead to a high-speed and effectively preconditioned GMRES, even when the dominant Hermitian part of the coefficient matrix is not so strong. (c) 2020 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：175 / 189

页数：15

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