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Parallel solution of large sparse eigenproblems using a Block-Jacobi-Davidson method

Röhrig-Zöllner, Melven (2014) Parallel solution of large sparse eigenproblems using a Block-Jacobi-Davidson method. In: SPPEXA-Doktorandenkolloquium Sommersemester 2014. SPPEXA-Doktorandenkolloquium Sommersemester 2014, 25. Jun. 2014, Erlangen, Deutschland.

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Official URL: http://zisc.fau.de/veranstaltungen/sppexa.shtml


This talk discusses the computation of a small set of exterior eigenvalues of a large sparse matrix using a Block-Jacobi-Davidson method. The main idea of the method is to operate on blocks of vectors and to combine several sparse matrix-vector multiplications with different vectors in a single computation. Block vector calculations and in particular sparse matrix-multiple-vector multiplications can be considerably faster than single vector operations if a suitable memory layout is used for the block vectors. Numerical tests show that the block method works well for a wide range of matrices and that a small block size can speed up the complete computation of a set of eigenvalues significantly in comparison to a single vector calculation.

Item URL in elib:https://elib.dlr.de/89639/
Document Type:Conference or Workshop Item (Speech)
Title:Parallel solution of large sparse eigenproblems using a Block-Jacobi-Davidson method
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Röhrig-Zöllner, MelvenMelven.Roehrig-Zoellner (at) dlr.deUNSPECIFIED
Date:25 June 2014
Journal or Publication Title:SPPEXA-Doktorandenkolloquium Sommersemester 2014
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:sparse eigenvalue problems, Jacobi-Davidson, block methods, performance engineering, high performance computing, multi-core processors, hybrid parallel implementation
Event Title:SPPEXA-Doktorandenkolloquium Sommersemester 2014
Event Location:Erlangen, Deutschland
Event Type:Workshop
Event Dates:25. Jun. 2014
Organizer:FAU Erlangen-Nürnberg
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space System Technology
DLR - Research area:Raumfahrt
DLR - Program:R SY - Space System Technology
DLR - Research theme (Project):R - Vorhaben SISTEC (old)
Location: Köln-Porz
Institutes and Institutions:Institut of Simulation and Software Technology > Distributed Systems and Component Software
Deposited By: Röhrig-Zöllner, Melven
Deposited On:09 Dec 2014 14:18
Last Modified:31 Jul 2019 19:46

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