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Efficient subspace iteration with Chebyshev-type filtering

Lang, Bruno and Krämer, Lukas and Galgon, Martin and Alvermann, Andreas and Fehske, Holger and Pieper, Andreas and Hager, Georg and Kreutzer, Moritz and Shahzad, Faisal and Wellein, Gerhard and Basermann, Achim and Röhrig-Zöllner, Melven and Thies, Jonas (2016) Efficient subspace iteration with Chebyshev-type filtering. The 9th International Workshop on Parallel Matrix Algorithms and Applications, 6.-8. Juli 2016, Bordeaux, Frankreich.

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Abstract

Shift-invert and other methods for computing inner eigenvalues often require the solution of linear systems. This may become a problem if the linear systems are very ill-conditioned and the matrix dimension precludes the use of direct solvers. Then eigensolvers with polynomial acceleration become particularly attractive because they avoid the solution of linear systems. We discuss techniques for increasing the efficiency of subspace iteration with polynomial filtering. These include reducing the polynomial degree by adapting Chebyshev-based filter functions, optimizing the size of the search space, and using tailored high-performance computational kernels.

Item URL in elib:https://elib.dlr.de/110053/
Document Type:Conference or Workshop Item (Speech)
Title:Efficient subspace iteration with Chebyshev-type filtering
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Lang, Brunolang (at) math.uni-wuppertal.deUNSPECIFIED
Krämer, Lukaskraemer (at) math.uni-wuppertal.deUNSPECIFIED
Galgon, Martingalgon (at) math.uni-wuppertal.deUNSPECIFIED
Alvermann, AndreasErnst-Moritz-Arndt Universität GreifswaldUNSPECIFIED
Fehske, HolgerErnst-Moritz-Arndt Universität GreifswaldUNSPECIFIED
Pieper, Andreaspieper (at) physik.uni-greifswald.deUNSPECIFIED
Hager, GeorgRegionales RechenZentrum ErlangenUNSPECIFIED
Kreutzer, MoritzRegionales RechenZentrum ErlangenUNSPECIFIED
Shahzad, Faisalfaisal.shahzad (at) rrze.fau.deUNSPECIFIED
Wellein, Gerhardgerhard.wellein (at) rrze.uni-erlangen.deUNSPECIFIED
Basermann, AchimAchim.Basermann (at) dlr.dehttps://orcid.org/0000-0003-3637-3231
Röhrig-Zöllner, MelvenMelven.Roehrig-Zoellner (at) dlr.deUNSPECIFIED
Thies, JonasJonas.Thies (at) dlr.deUNSPECIFIED
Date:2016
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Inner eigenproblems; exascale computing; subspace Iteration; polynomial filtering; performance Engineering; scalability; robustness; optimized kernels
Event Title:The 9th International Workshop on Parallel Matrix Algorithms and Applications
Event Location:Bordeaux, Frankreich
Event Type:international Conference
Event Dates:6.-8. Juli 2016
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
Deposited By: Basermann, Dr.-Ing. Achim
Deposited On:11 Jan 2017 13:30
Last Modified:31 Jul 2019 20:07

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