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Increasing the performance of the Jacobi-Davidson method by blocking

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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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/
Document Type:Article
Title:Increasing the performance of the Jacobi-Davidson method by blocking
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Röhrig-Zöllner, MelvenUNSPECIFIEDhttps://orcid.org/0000-0001-9851-5886UNSPECIFIED
Kreutzer, MoritzErlangen Regional Computing CenterUNSPECIFIEDUNSPECIFIED
Alvermann, AndreasErnst-Moritz-Arndt University of GreifswaldUNSPECIFIEDUNSPECIFIED
Pieper, AndreasErnst-Moritz-Arndt University of GreifswaldUNSPECIFIEDUNSPECIFIED
Basermann, AchimUNSPECIFIEDhttps://orcid.org/0000-0003-3637-3231UNSPECIFIED
Hager, GeorgErlangen Regional Computing CenterUNSPECIFIEDUNSPECIFIED
Wellein, GerhardErlangen Regional Computing CenterUNSPECIFIEDUNSPECIFIED
Fehske, HolgerErnst-Moritz-Arndt University of GreifswaldUNSPECIFIEDUNSPECIFIED
Journal or Publication Title:Siam Journal on Scientific Computing
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Publisher:SIAM - Society for Industrial and Applied Mathematics
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

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