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Röhrig-Zöllner, Melven und Thies, Jonas und Kreutzer, Moritz und Alvermann, Andreas und Pieper, Andreas und Basermann, Achim und Hager, Georg und Wellein, Gerhard und Fehske, Holger (2014) Increasing the performance of the Jacobi-Davidson method by blocking. SIAM Journal on Scientific Computing. SIAM - Society for Industrial and Applied Mathematics. ISSN 1064-8275. (eingereichter Beitrag)
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Kurzfassung
Block variants of the Jacobi-Davidson method for computing a few eigenpairs of a large sparse matrix are known to improve the robustness of the standard algorithm, but are generally shunned because the total number of floating-point operations increases. In this paper we present the implementation of a block Jacobi-Davidson solver. By detailed performance engineering and numerical experiments we demonstrate that the increase in operations is typically more than compensated by performance gains on modern architectures, giving a method that is both more efficient and robust than its single vector counterpart.
| elib-URL des Eintrags: | https://elib.dlr.de/89980/ | ||||||||||||||||||||||||||||||||||||||||
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| Dokumentart: | Zeitschriftenbeitrag | ||||||||||||||||||||||||||||||||||||||||
| Titel: | Increasing the performance of the Jacobi-Davidson method by blocking | ||||||||||||||||||||||||||||||||||||||||
| Autoren: |
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| Datum: | 2014 | ||||||||||||||||||||||||||||||||||||||||
| Erschienen in: | SIAM Journal on Scientific Computing | ||||||||||||||||||||||||||||||||||||||||
| Referierte Publikation: | Nein | ||||||||||||||||||||||||||||||||||||||||
| Open Access: | Nein | ||||||||||||||||||||||||||||||||||||||||
| Gold Open Access: | Nein | ||||||||||||||||||||||||||||||||||||||||
| In SCOPUS: | Ja | ||||||||||||||||||||||||||||||||||||||||
| In ISI Web of Science: | Ja | ||||||||||||||||||||||||||||||||||||||||
| Verlag: | SIAM - Society for Industrial and Applied Mathematics | ||||||||||||||||||||||||||||||||||||||||
| ISSN: | 1064-8275 | ||||||||||||||||||||||||||||||||||||||||
| Status: | eingereichter Beitrag | ||||||||||||||||||||||||||||||||||||||||
| Stichwörter: | sparse eigenvalue problems, Jacobi-Davidson, block methods, performance engineering, high performance computing, multi-core processors, hybrid parallel implementation | ||||||||||||||||||||||||||||||||||||||||
| 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: | Röhrig-Zöllner, Melven | ||||||||||||||||||||||||||||||||||||||||
| Hinterlegt am: | 29 Sep 2014 17:20 | ||||||||||||||||||||||||||||||||||||||||
| Letzte Änderung: | 20 Jun 2024 13:39 |
Verfügbare Versionen dieses Eintrags
- Increasing the performance of the Jacobi-Davidson method by blocking. (deposited 29 Sep 2014 17:20) [Gegenwärtig angezeigt]
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