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December 2021 A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form
Wen-Bin Bao, Shu-Xin Miao
Adv. Studies: Euro-Tbilisi Math. J. 14(4): 189-202 (December 2021). DOI: 10.3251/asetmj/1932200821

Abstract

In this paper, a splitting iterative method and the corresponding preconditioner are studied for solving a class of complex symmetric linear systems via real equivalent forms. The unconditional convergence theory of the new iterative method is established, and the eigenvalue distribution of the corresponding preconditioned matrix is analyzed. Numerical experiments are given to verify our theoretical results and illustrate effectiveness of the proposed iterative method and the corresponding splitting preconditioner.

Funding Statement

This work is supported by the National Natural Science Foundation of China (No. 11861059).

Citation

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Wen-Bin Bao. Shu-Xin Miao. "A splitting iterative method and preconditioner for complex symmetric linear system via real equivalent form." Adv. Studies: Euro-Tbilisi Math. J. 14 (4) 189 - 202, December 2021. https://doi.org/10.3251/asetmj/1932200821

Information

Received: 4 September 2020; Accepted: 3 July 2021; Published: December 2021
First available in Project Euclid: 16 December 2021

Digital Object Identifier: 10.3251/asetmj/1932200821

Subjects:
Primary: 65F10

Keywords: block two-by-two linear system , complex symmetric linear systems , convergence , iterative method , preconditioner , real equivalent form

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 4 • December 2021
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