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Improved Coefficients for Polynomial Filtering in ESSEX

Galgon, Martin and Krämer, Lukas and Lang, Bruno 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 (2017) Improved Coefficients for Polynomial Filtering in ESSEX. Lecture Notes in Computational Science and Engineering, 117, pp. 63-79. Springer. DOI: 10.1007/978-3-319-62426-6_5 ISSN 1439-7358

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Official URL: http://dx.doi.org/10.1007/978-3-319-62426-6_5

Abstract

The ESSEX project is an ongoing effort to provide exascale-enabled sparse eigensolvers, especially for quantum physics and related application areas. In this paper we first briefly summarize some key achievements that have been made within this project. Then we focus on a projection-based eigensolver with polynomial approximation of the projector. This eigensolver can be used for computing hundreds of interior eigenvalues of large sparse matrices. We describe techniques that allow using lower-degree polynomials than possible with standard Chebyshev expansion of the window function and kernel smoothing. With these polynomials, the degree, and thus the number of matrix-vector multiplications, typically can be reduced by roughly one half, resulting in comparable savings in runtime.

Item URL in elib:https://elib.dlr.de/123329/
Document Type:Article
Title:Improved Coefficients for Polynomial Filtering in ESSEX
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Galgon, Martingalgon (at) math.uni-wuppertal.deUNSPECIFIED
Krämer, Lukaskraemer (at) math.uni-wuppertal.deUNSPECIFIED
Lang, Brunolang (at) math.uni-wuppertal.deUNSPECIFIED
Alvermann, AndreasErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
Fehske, HolgerErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
Pieper, AndreasPieper (at) physik.uni-greifswald.deUNSPECIFIED
Hager, GeorgUNSPECIFIEDUNSPECIFIED
Kreutzer, MoritzErlangen Regional Computing CenterUNSPECIFIED
Shahzad, FaisalFaisal.Shahzad (at) rrze.fau.deUNSPECIFIED
Wellein, GerhardErlangen Regional Computing CenterUNSPECIFIED
Basermann, AchimAchim.Basermann (at) dlr.dehttps://orcid.org/0000-0003-3637-3231
Röhrig-Zöllner, MelvenMelven.Roehrig-Zoellner (at) dlr.dehttps://orcid.org/0000-0001-9851-5886
Thies, JonasJonas.Thies (at) dlr.deUNSPECIFIED
Date:2017
Journal or Publication Title:Lecture Notes in Computational Science and Engineering
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Volume:117
DOI :10.1007/978-3-319-62426-6_5
Page Range:pp. 63-79
Editors:
EditorsEmail
Sakurai, T.UNSPECIFIED
Zhang, , S.-L.UNSPECIFIED
Imamura, T.UNSPECIFIED
Yamamoto, Y.UNSPECIFIED
Kuramashi, Y.UNSPECIFIED
Publisher:Springer
Series Name:Eigenvalue Problems: Algorithms, Software and Applications, in Petascale Computing. Proc. EPASA 2015, Tsukuba, Japan, September 2015
ISSN:1439-7358
Status:Published
Keywords:Eigenwertprobleme, Petascale, High Performance Computing
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 > High Performance Computing
Deposited By: Thies, Jonas
Deposited On:04 Dec 2018 14:17
Last Modified:06 Sep 2019 15:22

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