On semi-convergence of modified HSS iteration methods

Fang Chen; Qing Quan Liu

doi:10.1007/s11075-012-9676-5

On semi-convergence of modified HSS iteration methods

Fang Chen^*
, Qing Quan Liu

^*此作品的通讯作者

CAS - Institute of Mechanics

科研成果: 期刊稿件 › 文章 › 同行评审

19 引用（Scopus）

摘要

We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).

源语言	英语
页（从-至）	507-518
页数	12
期刊	Numerical Algorithms
卷	64
期	3
DOI	https://doi.org/10.1007/s11075-012-9676-5
出版状态	已出版 - 11月 2013
已对外发布	是

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title = "On semi-convergence of modified HSS iteration methods",

abstract = "We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).",

keywords = "Complex symmetric matrix, Iteration method, Modified Hermitian and skew-Hermitian splitting, Semi-convergence",

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N2 - We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).

AB - We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).

KW - Complex symmetric matrix

KW - Iteration method

KW - Modified Hermitian and skew-Hermitian splitting

KW - Semi-convergence

UR - https://www.scopus.com/pages/publications/84886598583

U2 - 10.1007/s11075-012-9676-5

DO - 10.1007/s11075-012-9676-5

M3 - Article

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SN - 1017-1398

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EP - 518

JO - Numerical Algorithms

JF - Numerical Algorithms

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ER -

On semi-convergence of modified HSS iteration methods

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