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

^*Corresponding author for this work

CAS - Institute of Mechanics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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).

Original language	English
Pages (from-to)	507-518
Number of pages	12
Journal	Numerical Algorithms
Volume	64
Issue number	3
DOIs	https://doi.org/10.1007/s11075-012-9676-5
Publication status	Published - Nov 2013
Externally published	Yes

Keywords

Complex symmetric matrix
Iteration method
Modified Hermitian and skew-Hermitian splitting
Semi-convergence

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10.1007/s11075-012-9676-5

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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).",

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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

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VL - 64

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EP - 518

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 3

ER -

On semi-convergence of modified HSS iteration methods

Abstract

Keywords

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