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URN: urn:nbn:de:swb:90-295318

GPU-Accelerated Asynchronous Error Correction for Mixed Precision Iterative Refinement

Anzt, H.; Dongarra, J.; Heuveline, Vincent; Luszczek, P.

In hardware-aware high performance computing, block-asynchronous iteration and mixed precision iterative refinement are two techniques that may be used to leverage the computing power of SIMD accelerators like GPUs in the iterative solution of linear equation systems. although they use a very different approach for this purpose, they share the basic idea of compensating the convergence properties of an inferior numerical algorithm by a more efficient usage of the provided computing power. In this paper, we analyze the potential of combining both techniques. Therefore, we derive a mixed precision iterative refinement algorithm using a block-asynchronous iteration as an error correction solver, and compare its performance with a pure implementation of a block-asynchronous iteration and an iterative refinement method using double precision for the error correction solver. For matrices from the University of Florida Matrix collection, we report the convergence behaviour and provide the total solver runtime using different GPU architectures.

Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Forschungsbericht
Jahr 2011
Sprache Englisch
Identifikator ISSN: 2191-0693
KITopen ID: 1000029531
Verlag KIT, Karlsruhe
Serie Preprint Series of the Engineering Mathematics and Computing Lab (EMCL) ; 2011,17
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