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Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing

Stanimire Tomov, Rajib Nath, Jack Dongarra
University of Tennessee (USA), Department of Electrical Engineering and Computer Science, 1122 Volunteer Blvd, Knoxville TN 37996-3450
Parallel Computing, Volume 36, Issue 12, December 2010, Pages 645-654 (30 June 2010)

@article{tomov2010accelerating,

   title={Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing},

   author={Tomov, S. and Nath, R. and Dongarra, J.},

   journal={Parallel Computing},

   issn={0167-8191},

   year={2010},

   publisher={Elsevier}

}

We present a Hessenberg reduction (HR) algorithm for hybrid systems of homogeneous multicore with GPU accelerators that can exceed 25 ? the performance of the corresponding LAPACK algorithm running on current homogeneous multicores. This enormous acceleration is due to proper matching of algorithmic requirements to architectural strengths of the system
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