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A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems
Xie Z.-J.3; Jin X.-Q.1; Zhao Z.2
2017
Source PublicationEast Asian Journal on Applied Mathematics
ISSN20797370 20797362
Volume7Issue:4Pages:827-836
Abstract

Some 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.

KeywordConvergence Bound Hermitian Indefinite Key Words: Minres Toeplitz System
DOI10.4208/eajam.181016.300517h
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000423848400014
PublisherGLOBAL SCIENCE PRESS
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Universidade de Macau
2.Hangzhou Dianzi University
3.Dongguan University of Technology
Recommended Citation
GB/T 7714
Xie Z.-J.,Jin X.-Q.,Zhao Z.. A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems[J]. East Asian Journal on Applied Mathematics,2017,7(4):827-836.
APA Xie Z.-J.,Jin X.-Q.,&Zhao Z..(2017).A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems.East Asian Journal on Applied Mathematics,7(4),827-836.
MLA Xie Z.-J.,et al."A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems".East Asian Journal on Applied Mathematics 7.4(2017):827-836.
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