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Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects

Alvermann, Andreas and Basermann, Achim and Bungartz, Hans-Joachim and Carbogno, Christian and Ernst, Dominik and Fehske, Holger and Futamura, Yasunori and Galgon, Martin and Hager, Georg and Huber, Sarah and Huckle, Thomas and Ida, Akihiro and Imakura, Akira and Köcher, Simone and Kreutzer, Moritz and Kus, Pavel and Lang, Bruno and Lederer, Hermann and Manin, Valeriy and Marek, Andreas and Nakajima, Kengo and Nemec, Lydia and Reuter, Karsten and Rippl, Michael and Röhrig-Zöllner, Melven and Sakurai, Tetsuya and Scheffler, Matthias and Scheurer, Christoph and Shahzad, Faisal and Simoes Brambila, Danilo and Thies, Jonas and Wellein, Gerhard (2019) Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects. Japanese Journal on Industrial and Applied Mathematics. Springer. ISSN 0916-7005 (Submitted)

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Abstract

We first briefly report on the status and recent hievements of the ELPA-AEO (Eigen-value Solvers for Petaflop Applications -- Algorithmic Extensions and Optimizations) and ESSEX II (Equipping Sparse Solvers for Exascale) projects. In both collaboratory efforts, scientists from the application areas, mathematicians, and computer scientists work together to develop and make available efficient highly parallel methods for the solution of eigenvalue problems. Then we focus on a topic addressed in both projects, the use of mixed precision computations to enhance efficiency. We give a more detailed description of our approaches for benefiting from either lower or higher precision in three selected contexts and of the results thus obtained.

Item URL in elib:https://elib.dlr.de/123511/
Document Type:Article
Title:Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Alvermann, AndreasErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
Basermann, AchimAchim.Basermann (at) dlr.dehttps://orcid.org/0000-0003-3637-3231
Bungartz, Hans-JoachimUNSPECIFIEDUNSPECIFIED
Carbogno, ChristianUNSPECIFIEDUNSPECIFIED
Ernst, DominikUNSPECIFIEDUNSPECIFIED
Fehske, HolgerErnst-Moritz-Arndt University of GreifswaldUNSPECIFIED
Futamura, YasunoriUNSPECIFIEDUNSPECIFIED
Galgon, Martingalgon (at) math.uni-wuppertal.deUNSPECIFIED
Hager, GeorgErlangen Regional Computing CenterUNSPECIFIED
Huber, SarahUNSPECIFIEDUNSPECIFIED
Huckle, ThomasUNSPECIFIEDUNSPECIFIED
Ida, AkihiroUNSPECIFIEDUNSPECIFIED
Imakura, AkiraUNSPECIFIEDUNSPECIFIED
Köcher, SimoneUNSPECIFIEDUNSPECIFIED
Kreutzer, MoritzErlangen Regional Computing CenterUNSPECIFIED
Kus, PavelUNSPECIFIEDUNSPECIFIED
Lang, Brunolang (at) math.uni-wuppertal.deUNSPECIFIED
Lederer, HermannUNSPECIFIEDUNSPECIFIED
Manin, ValeriyUNSPECIFIEDUNSPECIFIED
Marek, AndreasUNSPECIFIEDUNSPECIFIED
Nakajima, KengoUNSPECIFIEDUNSPECIFIED
Nemec, LydiaUNSPECIFIEDUNSPECIFIED
Reuter, KarstenUNSPECIFIEDUNSPECIFIED
Rippl, MichaelUNSPECIFIEDUNSPECIFIED
Röhrig-Zöllner, MelvenMelven.Roehrig-Zoellner (at) dlr.dehttps://orcid.org/0000-0001-9851-5886
Sakurai, TetsuyaUNSPECIFIEDUNSPECIFIED
Scheffler, MatthiasUNSPECIFIEDUNSPECIFIED
Scheurer, ChristophUNSPECIFIEDUNSPECIFIED
Shahzad, FaisalFaisal.Shahzad (at) rrze.fau.deUNSPECIFIED
Simoes Brambila, DaniloUNSPECIFIEDUNSPECIFIED
Thies, JonasJonas.Thies (at) dlr.deUNSPECIFIED
Wellein, GerhardErlangen Regional Computing CenterUNSPECIFIED
Date:2019
Journal or Publication Title:Japanese Journal on Industrial and Applied Mathematics
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Publisher:Springer
ISSN:0916-7005
Status:Submitted
Keywords:ELPA-AEO, ESSEX, eigensolver, parallel, mixed precision
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:03 Dec 2018 17:28
Last Modified:31 Jul 2019 20:21

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