SCHEDULE: NOV 15-20, 2015

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Efficient Large-Scale Sparse Eigenvalue Computations on Heterogeneous Hardware

SESSION: Regular & ACM Student Research Competition Poster Reception

EVENT TYPE: Posters, Receptions, ACM Student Research Competition, Best Poster Finalist

EVENT TAG(S): HPC Beginner Friendly, Regular Poster

TIME: 5:15PM - 7:00PM

SESSION CHAIR(S): Michela Becchi, Manish Parashar, Dorian C. Arnold

AUTHOR(S):Moritz Kreutzer, Andreas Pieper, Andreas Alvermann, Holger Fehske, Georg Hager, Gerhard Wellein, Alan R. Bishop

ROOM:Level 4 - Lobby

ABSTRACT:

In quantum physics it is often required to determine spectral properties of large, sparse matrices.
For instance, an approximation to the full spectrum or a number of inner eigenvalues can be computed with algorithms based on the evaluation of Chebyshev polynomials.
We identify relevant bottlenecks of this class of algorithms and develop a reformulated version to increase the computational intensity and obtain a potentially higher efficiency, basically by employing kernel fusion and vector blocking.
The optimized algorithm requires a manual implementation of compute kernels.
Guided by a performance model, we show the capabilities of our fully heterogeneous implementation on a petascale system.
Based on MPI+OpenMP/CUDA, our approach utilizes all parts of a heterogeneous CPU+GPU system with high efficiency.
Finally, our scaling study on up to 4096 heterogeneous nodes reveals a performance of half a petaflop/s, which corresponds to 11% of LINPACK performance for an originally bandwidth-bound sparse linear algebra problem.

Chair/Author Details:

Michela Becchi, Manish Parashar, Dorian C. Arnold (Chair) - University of Missouri|Rutgers University|University of New Mexico|

Moritz Kreutzer - Friedrich-Alexander University Erlangen-Nürnberg

Andreas Pieper - Ernst Moritz Arndt University of Greifswald

Andreas Alvermann - Ernst Moritz Arndt University of Greifswald

Holger Fehske - Ernst Moritz Arndt University of Greifswald

Georg Hager - Friedrich-Alexander University Erlangen-Nürnberg

Gerhard Wellein - Friedrich-Alexander University Erlangen-Nürnberg

Alan R. Bishop - Los Alamos National Laboratory

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