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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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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/
Document Type:Article
Title:Increasing the performance of the Jacobi-Davidson method by blocking
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Röhrig-Zöllner, MelvenMelven.Roehrig-Zoellner (at) dlr.deUNSPECIFIED
Thies, JonasJonas.Thies (at) dlr.deUNSPECIFIED
Kreutzer, MoritzErlangen Regional Computing CenterUNSPECIFIED
Alvermann, AndreasErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
Pieper, AndreasErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
Basermann, Achimachim.basermann (at) dlr.deUNSPECIFIED
Hager, GeorgErlangen Regional Computing CenterUNSPECIFIED
Wellein, GerhardErlangen Regional Computing CenterUNSPECIFIED
Fehske, HolgerErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
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 Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Technik für Raumfahrtsysteme
DLR - Research theme (Project):R - Vorhaben SISTEC
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:06 Sep 2019 15:20

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