Mixed-precision AMG as linear equation solver for definite systems
Author(s) -
Maximilian Emans,
Albert van der Meer
Publication year - 2010
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2010.04.020
Subject(s) - computer science , floating point , byte , solver , parallel computing , double precision floating point format , single precision floating point format , linear algebra , ieee floating point , linear system , multigrid method , computational science , arithmetic , algorithm , mathematics , programming language , differential equation , mathematical analysis , geometry
The performance of algebraic multigrid (AMG) algorithms, implemented in 4-byte floating point arithmetic, is investigated on modern cluster architecture with multi-core CPUs. The algorithmic considerations comprise the effect of preconditioning in 4-byte floating point arithmetic on Krylov solvers using standard 8-byte floating point arithmetic. The data of basic linear algebra benchmarks are used to interpret the performance of AMG algorithms employed as linear solvers in computational fluid dynamics simulation tools
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