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@article{Bolten:2017:10.1002/cpe.4105,
author = {Bolten, M and Franchetti, F and Kelly, PHJ and Lengauer, C and Mohr, M},
doi = {10.1002/cpe.4105},
journal = {Concurrency and Computation: Practice and Experience},
title = {Algebraic description and automatic generation of multigrid methods in SPIRAL},
url = {http://dx.doi.org/10.1002/cpe.4105},
volume = {29},
year = {2017}
}

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TY  - JOUR
AB  - SPIRAL  is  an  autotuning,  program  generation  and  code  synthesis  system  that  offers  a  fully  automaticgeneration of highly optimized target codes, customized for the specific execution platform at hand. Initially,SPIRAL was targeted at problem domains in digital signal processing, later also at basic linear algebra.We open SPIRAL up to a new, practically relevant and challenging domain: multigrid solvers. SPIRAL isdriven by algebraic transformation rules. We specify a set of such rules for a simple multigrid solver with aRichardson smoother for a discretized square 2D Poisson equation with Dirichlet boundary conditions. Wepresent the target code that SPIRAL generates in static single-assignment form and discuss its performance.While this example required no changes of or extensions to the SPIRAL system, more complex multigridsolvers may require small adaptations.
AU  - Bolten,M
AU  - Franchetti,F
AU  - Kelly,PHJ
AU  - Lengauer,C
AU  - Mohr,M
DO  - 10.1002/cpe.4105
PY  - 2017///
SN  - 1532-0634
TI  - Algebraic description and automatic generation of multigrid methods in SPIRAL
T2  - Concurrency and Computation: Practice and Experience
UR  - http://dx.doi.org/10.1002/cpe.4105
UR  - http://hdl.handle.net/10044/1/44145
VL  - 29
ER  -

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