A preconditioner based on a splitting-type iteration method for solving complex symmetric indefinite linear systems

被引：0
作者：
Lu-Bin Cui
Xiao-Qing Zhang
Yu-Tao Zheng
机构：
[1] Henan Normal University,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences
[2] Henan Normal University,School of Mathematics and Information Sciences
来源：
Japan Journal of Industrial and Applied Mathematics | 2021年 / 38卷
关键词：
Complex symmetric indefinite linear system; Complex symmetric matrix; Preconditioning; Matrix splitting; 15A18; 15A69;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we propose a preconditioned modified positive/negative-stable splitting (PMPNS) iteration method to solve complex symmetric indefinite linear system more efficiently. By analyzing the convergence of the PMPNS iteration method and discussing the spectral properties of the PMPNS iteration method, we construct a new preconditioner to make the eigenvalues of the coefficient matrix more aggregated, which leads to fast convergence of Krylov subspace iteration methods such as GMRES. Numerical example is given to illustrate the efficiency of the PMPNS preconditioner used in GMRES method. In particular, the GMRES method with the PMPNS preconditioner demonstrates meshsize-independent convergence behavior.
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页码：965 / 978
页数：13
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