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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Domain Decomposition Preconditioners for Communication-Avoiding Krylov Methods on a Hybrid CPU/GPU Cluster

SESSION: Sparse Solvers

EVENT TYPE: Papers

TIME: 2:00PM - 2:30PM

SESSION CHAIR: Anne C. Elster

AUTHOR(S):Ichitaro Yamazaki, Sivasankaran Rajamanickam, Erik G. Boman, Mark Hoemmen, Michael A. Heroux, Stanimire Tomov

ROOM:391-92

ABSTRACT:

Krylov methods are the most widely-used iterative methods for solving large-scale linear systems of equations. Recently, researchers have demonstrated the potential of techniques to avoid communication and improve the performance of the Krylov methods on modern computers, where communication is becoming increasingly expensive. In practice, it is essential to precondition the Krylov method to accelerate its solution convergence. However, we still lack an effective preconditioner to work seamlessly with communication avoiding Krylov methods. We address this crucial gap by presenting a simple communication-avoiding preconditioner. Our preconditioner is based on domain decomposition and does not incur any additional communication than a communication avoiding Krylov method. We illustrate the importance and challenge of developing such preconditioners, and provide the foundation for a family of preconditioners that will be suitable for communication-avoiding methods. Our experimental results with GMRES on distributed GPUs demonstrate the potential of the proposed technique.

Chair/Author Details:

Anne C. Elster (Chair) - Norwegian University of Science & Technology / University of Texas at Austin

Ichitaro Yamazaki - University of Tennessee, Knoxville

Sivasankaran Rajamanickam - Sandia National Laboratories

Erik G. Boman - Sandia National Laboratories

Mark Hoemmen - Sandia National Laboratories

Michael A. Heroux - Sandia National Laboratories

Stanimire Tomov - University of Tennessee, Knoxville

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Paper also available from IEEE Computer Society