UM
A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems
Xie, Ze-Jia; Jin, Xiao-Qing; Zhao, Zhi
2017-11
Conference NameEAST ASIAN JOURNAL ON APPLIED MATHEMATICS
Volume7
Issue4
Pages827-836
Publication PlaceEDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND
PublisherCAMBRIDGE UNIV PRESS
AbstractSome convergence bounds of the minimal residual (MINRES) method are studied when the method is applied for solving Hermitian indefinite linear systems. The matrices of these linear systems are supposed to have some properties so that their spectra are all clustered around +/- 1. New convergence bounds depending on the spectrum of the coefficient matrix are presented. Some numerical experiments are shown to demonstrate our theoretical results.
KeywordMINRES Convergence bound Hermitian indefinite Toeplitz system
DOI10.4208/eajam.181016.300517h
URLView the original
Indexed BySCI ; CPCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000423848400014
The Source to ArticleWOS
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Document TypeConference paper
CollectionUniversity of Macau
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Xie, Ze-Jia,Jin, Xiao-Qing,Zhao, Zhi. A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems[C]. EDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND:CAMBRIDGE UNIV PRESS,2017:827-836.
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