| Issue |
ESAIM: M2AN
Volume 53, Number 5, September-October 2019
|
|
|---|---|---|
| Page(s) | 1607 - 1627 | |
| DOI | https://doi.org/10.1051/m2an/2019029 | |
| Published online | 09 August 2019 | |
Research article
On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems
College of Mathematics and Informatics & FJKLMAA, Fujian Normal University, Fuzhou 350117, PR China
* Corresponding author: prof.macf@hotmail.com
Received:
29
October
2017
Accepted:
25
April
2019
In this paper, we propose an Euler preconditioned single-step HSS (EP-SHSS) iterative method for solving a broad class of complex symmetric linear systems. The proposed method can be applied not only to the non-singular complex symmetric linear systems but also to the singular ones. The convergence (semi-convergence) properties of the proposed method are carefully discussed under suitable restrictions. Furthermore, we consider the acceleration of the EP-SHSS method by preconditioned Krylov subspace method and discuss the spectral properties of the corresponding preconditioned matrix. Numerical experiments verify the effectiveness of the EP-SHSS method either as a solver or as a preconditioner for solving both non-singular and singular complex symmetric linear systems.
Mathematics Subject Classification: 65F10 / 65F50 / 65F15 / 65N22
Key words: Complex symmetric linear systems / Preconditioned EP-SHSS method / convergence / Semi-convergence / Spectral properties
© EDP Sciences, SMAI 2019
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