A variant of PMHSS iteration method for a class of complex symmetric indefinite linear systems

被引：0
作者：
Zhong Zheng
Min-Li Zeng
Guo-Feng Zhang
机构：
[1] Xinyang Normal University,School of Mathematics and Statistics
[2] Putian University,School of Mathematics and Finance
[3] Lanzhou University,School of Mathematics and Statistics
来源：
Numerical Algorithms | 2022年 / 91卷
关键词：
Complex symmetric linear system; PMHSS method; Convergence theory; Preconditioning; Spectral properties;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a variant of PMHSS iteration method for solving and preconditioning a class of complex symmetric indefinite linear systems. The unconditional convergence theory of this iteration method is proved, and the choice of quasi-optimal parameter is also discussed. The explicit expressions for the eigenvalues and eigenvectors of the corresponding preconditioned matrix are derived. In addition, theoretical analyses show that all eigenvalues are linearly distributed in the unit circle under suitable conditions. Numerical experiments are reported to illustrate the effectiveness and robustness of the proposed method.
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页码：283 / 300
页数：17
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