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Published in:
2015 | OriginalPaper | Chapter
Self-adaptive Multiprecision Preconditioners on Multicore and Manycore Architectures
Authors : Hartwig Anzt, Dimitar Lukarski, Stanimire Tomov, Jack Dongarra
Published in: High Performance Computing for Computational Science -- VECPAR 2014
Publisher: Springer International Publishing
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Abstract
Based on the premise that preconditioners needed for scientific computing are not only required to be robust in the numerical sense, but also scalable for up to thousands of light-weight cores, we argue that this two-fold goal is achieved for the recently developed self-adaptive multi-elimination preconditioner. For this purpose, we revise the underlying idea and analyze the performance of implementations realized in the PARALUTION and MAGMA open-source software libraries on GPU architectures (using either CUDA or OpenCL), Intel’s Many Integrated Core Architecture, and Intel’s Sandy Bridge processor. The comparison with other well-established preconditioners like multi-coloured Gauss-Seidel, ILU(0) and multi-colored ILU(0), shows that the twofold goal of a numerically stable cross-platform performant algorithm is achieved.