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Power consumption of mixed precision in the iterative solution of sparse linear systems

Hartwig Anzt, Vincent Heuveline, Bjorn Rocker, Maribel Castillo, Juan C. Fernandez, Rafael Mayo, Enrique S. Quintana-Orti
Institute for Applied and Numerical Mathematics 4, Karlsruhe Institute of Technology, Fritz-Erler-Str. 23, 76133 Karlsruhe, Germany
IEEE International Symposium on Parallel and Distributed Processing Workshops and Phd Forum (IPDPSW), 2011

@inproceedings{anzt2011power,

   title={Power consumption of mixed precision in the iterative solution of sparse linear systems},

   author={Anzt, H. and Heuveline, V. and Rocker, B. and Castillo, M. and Mayo, R. and Quintana-Orti, E.S. and others},

   booktitle={Parallel and Distributed Processing Workshops and Phd Forum (IPDPSW), 2011 IEEE International Symposium on},

   pages={829–836},

   year={2011},

   organization={IEEE}

}

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This paper presents a detailed analysis of a mixed precision iterative refinement solver applied to a linear system obtained from the 2D discretization of a fluid flow problem. The total execution time and energy need of different soft- and hardware implementations are measured and compared with those of a plain GMRES-based solver in double precision. The time and energy consumption of individual parts of the algorithm are monitored as well, enabling a deeper insight and the possibility of optimizing the energy consumption of the code on a general-purpose multi-core architecture and systems accelerated by a graphics processor.
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