sponsored byIEEEACMThe International Conference for High Performance 
Computing, Networking, Storage and Analysis
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SCHEDULE: NOV 16-21, 2014

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Performance of Block Jacobi-Davidson Eigensolvers

SESSION: Poster Reception


TIME: 5:15PM - 7:00PM

AUTHOR(S):Melven Roehrig-Zoellner, Jonas Thies, Moritz Kreutzer, Andreas Alvermann, Andreas Pieper, Achim Basermann, Georg Hager, Gerhard Wellein, Holger Fehske

ROOM:New Orleans Theater Lobby


Jacobi-Davidson methods can efficiently compute a few eigenpairs of a large sparse matrix.
Block variants of Jacobi-Davidson are known to be more robust than the standard algorithm, but they are usually avoided as the total number of floating point operations increases.
We present the implementation of a block Jacobi-Davidson solver and show by detailed performance engineering and numerical experiments that the increase in operations is typically more than compensated by performance gains on modern architectures, giving a method that is both more efficient and robust than its single vector counterpart.

Chair/Author Details:

Melven Roehrig-Zoellner - German Aerospace Center

Jonas Thies - German Aerospace Center

Moritz Kreutzer - Erlangen Regional Computing Center

Andreas Alvermann - University of Greifswald

Andreas Pieper - University of Greifswald

Achim Basermann - German Aerospace Center

Georg Hager - Erlangen Regional Computing Center

Gerhard Wellein - Erlangen Regional Computing Center

Holger Fehske - University of Greifswald

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