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    LU factorization for accelerator-based systems

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    Type
    Conference Paper
    Authors
    Agullo, Emmanuel
    Augonnet, Cédric
    Dongarra, Jack
    Faverge, Mathieu
    Langou, Julien
    Ltaief, Hatem cc
    Tomov, Stanimire Z.
    KAUST Department
    KAUST Supercomputing Laboratory (KSL)
    Extreme Computing Research Center
    Date
    2011-12
    Permanent link to this record
    http://hdl.handle.net/10754/575804
    
    Metadata
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    Abstract
    Multicore architectures enhanced with multiple GPUs are likely to become mainstream High Performance Computing (HPC) platforms in a near future. In this paper, we present the design and implementation of an LU factorization using tile algorithm that can fully exploit the potential of such platforms in spite of their complexity. We use a methodology derived from previous work on Cholesky and QR factorizations. Our contributions essentially consist of providing new CPU/GPU hybrid LU kernels, studying the impact on performance of the looking variants as well as the storage layout in presence of pivoting, tuning the kernels for two different machines composed of multiple recent NVIDIA Tesla S1070 (four GPUs total) and Fermi-based S2050 GPUs (three GPUs total), respectively. The hybrid tile LU asymptotically achieves 1 Tflop/s in single precision on both hardwares. The performance in double precision arithmetic reaches 500 Gflop/s on the Fermi-based system, twice faster than the old GPU generation of Tesla S1070. We also discuss the impact of the number of tiles on the numerical stability. We show that the numerical results of the tile LU factorization will be accurate enough for most applications as long as the computations are performed in double precision arithmetic. © 2011 IEEE.
    Citation
    Agullo, E., Augonnet, C., Dongarra, J., Faverge, M., Langou, J., Ltaief, H., & Tomov, S. (2011). LU factorization for accelerator-based systems. 2011 9th IEEE/ACS International Conference on Computer Systems and Applications (AICCSA). doi:10.1109/aiccsa.2011.6126599
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2011 9th IEEE/ACS International Conference on Computer Systems and Applications (AICCSA)
    Conference/Event name
    9th ACS/IEEE International Conference on Computer Systems and Applications, AICCSA 2011
    ISBN
    9781457704741
    DOI
    10.1109/AICCSA.2011.6126599
    ae974a485f413a2113503eed53cd6c53
    10.1109/AICCSA.2011.6126599
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