Modified LPMHSS Method for a Class of Complex Symmetric Linear Systems

Shi-Liang Wu; Cui-Xia Li

Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part I

Research Article

Modified LPMHSS Method for a Class of Complex Symmetric Linear Systems

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@INPROCEEDINGS{10.1007/978-3-030-72792-5_14,
    author={Shi-Liang Wu and Cui-Xia Li},
    title={Modified LPMHSS Method for a Class of Complex Symmetric Linear Systems},
    proceedings={Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part I},
    proceedings_a={SIMUTOOLS},
    year={2021},
    month={4},
    keywords={Complex symmetric linear system Modified LPMHSS method Convergence},
    doi={10.1007/978-3-030-72792-5_14}
}

Shi-Liang Wu
Cui-Xia Li
Year: 2021
Modified LPMHSS Method for a Class of Complex Symmetric Linear Systems
SIMUTOOLS
Springer
DOI: 10.1007/978-3-030-72792-5_14

Shi-Liang Wu¹, Cui-Xia Li¹

1: School of Mathematics, Yunnan Normal University, Kunming

Abstract

In this paper, a modified LPMHSS (MLPMHSS) method is proposed to solve the problem of a class of complex symmetric linear systems with strong Hermitian parts. Theoretical analysis shows that the MLPMHSS method can converge to the unique solution of linear equations under appropriate conditions. Numerical experiments show that the method is effective.

Keywords: Complex symmetric linear system Modified LPMHSS method Convergence

Published: 2021-04-27
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-030-72792-5_14

Modified LPMHSS Method for a Class of Complex Symmetric Linear Systems

Abstract

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