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A 3D-Parallel Interior Eigenvalue Solver

Thies, Jonas and Galgon, Martin and Krämer, Lukas and Pieper, Andreas (2014) A 3D-Parallel Interior Eigenvalue Solver. Numerical Methods on High Performance Computers, 1.-3. Dez. 2014, Heidelberg, Deutschland.

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Abstract

Some applications in quantum physics require the computation of a relatively large part of the interior of the spectrum of the Hamiltonian matrix. The sparse matrices in question have a dimension of billions to trillions and on the order of 1000 eigenpairs are required. We present a purely iterative solver based on the FEAST algorithm (Polizzi '09) with a fault-tolerant and hybrid-parallel row-projection method for the linear systems that have to be solved. The subspace is distributed in both the `horizontal' and `vertical' direction, and the key operations exploit any available intra-node parallelism.

Item URL in elib:https://elib.dlr.de/93103/
Document Type:Conference or Workshop Item (Speech)
Title:A 3D-Parallel Interior Eigenvalue Solver
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Thies, JonasJonas.Thies (at) dlr.deUNSPECIFIED
Galgon, Martingalgon (at) math.uni-wuppertal.deUNSPECIFIED
Krämer, Lukaskraemer (at) math.uni-wuppertal.deUNSPECIFIED
Pieper, AndreasPieper (at) physik.uni-greifswald.deUNSPECIFIED
Date:2 December 2014
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Inner Eigenvalues, FEAST algorithm, iterative solvers, massivelz parallel
Event Title:Numerical Methods on High Performance Computers
Event Location:Heidelberg, Deutschland
Event Type:Workshop
Event Dates:1.-3. Dez. 2014
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: Thies, Jonas
Deposited On:09 Dec 2014 14:28
Last Modified:31 Jul 2019 19:50

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