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Galgon, Martin und Krämer, Lukas und Thies, Jonas und Basermann, Achim und Lang, Bruno (2015) On the parallel iterative solution of linear systems arising in the FEAST algorithm for computing inner eigenvalues. Parallel Computing, -153 bis 163. Elsevier. doi: 10.1016/j.parco.2015.06.005. ISSN 0167-8191.
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Offizielle URL: http://dx.doi.org/10.1016/j.parco.2015.06.005
Kurzfassung
Methods for the solution of eigenvalue problems that are based on spectral projectors and contour integration have recently attracted more and more attention. Such methods require the solution of many shifted linear systems of full size. In most of the literature concerning these eigenvalue solvers, only few words are said on the solution of the linear systems, but they turn out to be very hard to solve by iterative linear solvers in practice. In this work we identify a row projection method for the solution of the inner linear systems encountered in the \feast algorithm and introduce a novel hybrid parallel and fully iterative implementation of the eigenvalue solver which exploits parallelism on several levels. We present numerical examples where graphene modeling is one of the target applications.
| elib-URL des Eintrags: | https://elib.dlr.de/91515/ | ||||||||||||||||||||||||
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| Dokumentart: | Zeitschriftenbeitrag | ||||||||||||||||||||||||
| Titel: | On the parallel iterative solution of linear systems arising in the FEAST algorithm for computing inner eigenvalues | ||||||||||||||||||||||||
| Autoren: |
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| Datum: | November 2015 | ||||||||||||||||||||||||
| Erschienen in: | Parallel Computing | ||||||||||||||||||||||||
| Referierte Publikation: | Ja | ||||||||||||||||||||||||
| Open Access: | Ja | ||||||||||||||||||||||||
| Gold Open Access: | Nein | ||||||||||||||||||||||||
| In SCOPUS: | Ja | ||||||||||||||||||||||||
| In ISI Web of Science: | Ja | ||||||||||||||||||||||||
| DOI: | 10.1016/j.parco.2015.06.005 | ||||||||||||||||||||||||
| Seitenbereich: | -153 bis 163 | ||||||||||||||||||||||||
| Verlag: | Elsevier | ||||||||||||||||||||||||
| ISSN: | 0167-8191 | ||||||||||||||||||||||||
| Status: | veröffentlicht | ||||||||||||||||||||||||
| Stichwörter: | Parallel eigenvalue computation, FEAST, linear systems, CARP-CG, row projection methods, multi-coloring | ||||||||||||||||||||||||
| HGF - Forschungsbereich: | Luftfahrt, Raumfahrt und Verkehr | ||||||||||||||||||||||||
| HGF - Programm: | Raumfahrt | ||||||||||||||||||||||||
| HGF - Programmthema: | Technik für Raumfahrtsysteme | ||||||||||||||||||||||||
| DLR - Schwerpunkt: | Raumfahrt | ||||||||||||||||||||||||
| DLR - Forschungsgebiet: | R SY - Technik für Raumfahrtsysteme | ||||||||||||||||||||||||
| DLR - Teilgebiet (Projekt, Vorhaben): | R - Vorhaben SISTEC (alt) | ||||||||||||||||||||||||
| Standort: | Köln-Porz | ||||||||||||||||||||||||
| Institute & Einrichtungen: | Institut für Simulations- und Softwaretechnik > Verteilte Systeme und Komponentensoftware | ||||||||||||||||||||||||
| Hinterlegt von: | Thies, Jonas | ||||||||||||||||||||||||
| Hinterlegt am: | 04 Dez 2015 17:13 | ||||||||||||||||||||||||
| Letzte Änderung: | 31 Jul 2019 19:48 |
Verfügbare Versionen dieses Eintrags
- On the parallel iterative solution of linear systems arising in the FEAST algorithm for computing inner eigenvalues. (deposited 04 Dez 2015 17:13) [Gegenwärtig angezeigt]
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