Geodesic
A streaming approach for sparse matrix products and its application in Galerkin multigrid methods
Electronic transactions on numerical analysis, Tome 37 (2010), pp. 263-275.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we present a numerical algorithm for computing products of the form R KRT, where R, RT, and K are sparse matrices. By reformulating the problem into the simultaneous processing of a sequential data and control stream, cache miss penalties are significantly reduced. Even though the algorithm increases memory requirements, it accelerates sparse matrix products on recent processor architectures by a factor of up to 4 compared to previous approaches. We apply the algorithm to compute consistent system matrices at different resolution levels in a dynamic multigrid elasticity simulation, and we show its efficiency for nested and non-nested mesh hierarchies.
Classification : 65F50, 65M55, 65M60, 65Y20, 68W01, 74B99, 74H15
Keywords: sparse matrix products, cache-awareness, multigrid, Galerkin update 
@article{ETNA_2010__37__a9,
     author = {Georgii, Joachim and Westermann, R\"udiger},
     title = {A streaming approach for sparse matrix products and its application in {Galerkin} multigrid methods},
     journal = {Electronic transactions on numerical analysis},
     pages = {263--275},
     publisher = {mathdoc},
     volume = {37},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__37__a9/}
}
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Georgii, Joachim; Westermann, Rüdiger. A streaming approach for sparse matrix products and its application in Galerkin multigrid methods. Electronic transactions on numerical analysis, Tome 37 (2010), pp. 263-275. http://geodesic.mathdoc.fr/item/ETNA_2010__37__a9/