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Röhrig-Zöllner, Melven and Thies, Jonas and Kreutzer, Moritz and Alvermann, Andreas and Pieper, Andreas and Basermann, Achim and Hager, Georg and Wellein, Gerhard and 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. (Submitted)
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Abstract
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.
| Item URL in elib: | https://elib.dlr.de/89980/ | ||||||||||||||||||||||||||||||
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| Document Type: | Article | ||||||||||||||||||||||||||||||
| Title: | Increasing the performance of the Jacobi-Davidson method by blocking | ||||||||||||||||||||||||||||||
| Authors: |
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| Date: | 2014 | ||||||||||||||||||||||||||||||
| Journal or Publication Title: | Siam Journal on Scientific Computing | ||||||||||||||||||||||||||||||
| Refereed publication: | No | ||||||||||||||||||||||||||||||
| Open Access: | No | ||||||||||||||||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||||||||||||||||
| In SCOPUS: | Yes | ||||||||||||||||||||||||||||||
| In ISI Web of Science: | Yes | ||||||||||||||||||||||||||||||
| Publisher: | SIAM - Society for Industrial and Applied Mathematics | ||||||||||||||||||||||||||||||
| ISSN: | 1064-8275 | ||||||||||||||||||||||||||||||
| Status: | Submitted | ||||||||||||||||||||||||||||||
| Keywords: | sparse eigenvalue problems, Jacobi-Davidson, block methods, performance engineering, high performance computing, multi-core processors, hybrid parallel implementation | ||||||||||||||||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||||||||||||||||
| HGF - Program: | Space | ||||||||||||||||||||||||||||||
| HGF - Program Themes: | Space System Technology | ||||||||||||||||||||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||||||||||||||||||||
| DLR - Program: | R SY - Space System Technology | ||||||||||||||||||||||||||||||
| DLR - Research theme (Project): | R - Vorhaben SISTEC (old) | ||||||||||||||||||||||||||||||
| Location: | Köln-Porz | ||||||||||||||||||||||||||||||
| Institutes and Institutions: | Institut of Simulation and Software Technology > Distributed Systems and Component Software | ||||||||||||||||||||||||||||||
| Deposited By: | Röhrig-Zöllner, Melven | ||||||||||||||||||||||||||||||
| Deposited On: | 29 Sep 2014 17:20 | ||||||||||||||||||||||||||||||
| Last Modified: | 28 Mar 2023 23:42 |
Available Versions of this Item
- Increasing the performance of the Jacobi-Davidson method by blocking. (deposited 29 Sep 2014 17:20) [Currently Displayed]
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