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December 2020 Lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems
Xian Xie, Hou-biao Li
Tbilisi Math. J. 13(4): 211-221 (December 2020). DOI: 10.32513/tbilisi/1608606059

Abstract

In this paper, a lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting (LME-HS) iteration method is introduced for solving the complex symmetric linear systems. Under a loose restriction on parameter $\theta$, we demonstrate that LME-HS iteration method is convergent. Moreover, we present the optimal parameter ${\theta}^{*}$ of the LME-HS method and discuss the spectral properties of corresponding preconditioned matrix. Finally, the numerical experiments are used to verify the effectiveness of the proposed method.

Funding Statement

The authors are partially supported by NSFC supported by National Natural Science Foundation of China (11101071, 11271001, 51175443) and Fundamental Research Funds for the Central Universities (ZYGX2016J138).

Citation

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Xian Xie. Hou-biao Li. "Lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems." Tbilisi Math. J. 13 (4) 211 - 221, December 2020. https://doi.org/10.32513/tbilisi/1608606059

Information

Received: 18 April 2020; Accepted: 30 October 2020; Published: December 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4194238
Digital Object Identifier: 10.32513/tbilisi/1608606059

Subjects:
Primary: 18B40
Secondary: 18C15, 18D05

Rights: Copyright © 2020 Tbilisi Centre for Mathematical Sciences

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Vol.13 • No. 4 • December 2020
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