| A Convergence Analysis of the MINRES Method for Some Hermitian Indefinite Systems | |
| Xie, Ze-Jia; Jin, Xiao-Qing; Zhao, Zhi | |
| 2017-11 | |
| Conference Name | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS |
| Volume | 7 |
| Issue | 4 |
| Pages | 827-836 |
| Publication Place | EDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND |
| Publisher | CAMBRIDGE UNIV PRESS |
| 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. |
| Keyword | MINRES Convergence bound Hermitian indefinite Toeplitz system |
| DOI | 10.4208/eajam.181016.300517h |
| URL | View the original |
| Indexed By | SCI ; CPCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000423848400014 |
| The Source to Article | WOS |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Conference paper |
| Collection | University of Macau |
| Recommended Citation GB/T 7714 | 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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