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The Variants of the MGSS Methods for Complex Symmetric Linear System of Equations

The Variants of the MGSS Methods for Complex Symmetric Linear System of Equations

Year:    2025

Author:    Changfeng Ma, Xiaojuan Yu

Communications in Mathematical Research , Vol. 41 (2025), Iss. 2 : pp. 173–188

Abstract

Recently, inspired by a modified generalized shift-splitting iteration method for complex symmetric linear systems, we propose two variants of the modified generalized shift-splitting iteration (MGSS) methods for solving complex symmetric linear systems. One is a parameterized MGSS iteration method and the other is a modified parameterized MGSS iteration method. We prove that the proposed methods are convergent under appropriate constraints on the parameters. In addition, we also give the eigenvalue distributions of different preconditioned matrices to verify the effectiveness of the preconditioners proposed in this paper.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2025-0017

Communications in Mathematical Research , Vol. 41 (2025), Iss. 2 : pp. 173–188

Published online:    2025-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Complex symmetric linear system variants of MGSS method convergence analysis.

Author Details

Changfeng Ma

Xiaojuan Yu