On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method

Wen Ting Wu

doi:10.1007/s42967-019-00015-y

On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method

Wen Ting Wu^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

For an upper bound of the spectral radius of the QHSS (quasi Hermitian and skew-Hermitian splitting) iteration matrix which can also bound the contraction factor of the QHSS iteration method, we give its minimum point under the conditions which guarantee that the upper bound is strictly less than one. This provides a good choice of the involved iteration parameters, so that the convergence rate of the QHSS iteration method can be significantly improved.

Original language	English
Pages (from-to)	263-282
Number of pages	20
Journal	Communications on Applied Mathematics and Computation
Volume	1
Issue number	2
DOIs	https://doi.org/10.1007/s42967-019-00015-y
Publication status	Published - 7 Jun 2019
Externally published	Yes

Keywords

Convergence rate
Non-Hermitian matrix
QHSS iteration method
System of linear equations

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10.1007/s42967-019-00015-y

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KW - Convergence rate

KW - Non-Hermitian matrix

KW - QHSS iteration method

KW - System of linear equations

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On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method

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Keywords

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