On parallelizing the Clifford algebra product for CLIFFORD
Mathematical Physics
2012-06-19 v1 math.MP
Abstract
We present, as a proof of concept, a way to parallelize the Clifford product in CL_{p,q} for a diagonalized quadratic form as a new procedure `cmulWpar' in the \Clifford package for \Maple(R). The procedure uses a new `Threads' module available under Maple 15 (and later) and a new \Clifford procedure `cmulW' which computes the Clifford product of any two Grassmann monomials in \CL_{p,q} with a help of Walsh functions. We benchmark `cmulWpar' and compare it to two other procedures `cmulNUM' and `cmulRS' from \Clifford. We comment on how to improve `cmulWpar' by taking advantage of multi-core processors and multithreading available in modern processors.
Cite
@article{arxiv.1206.3682,
title = {On parallelizing the Clifford algebra product for CLIFFORD},
author = {Rafal Ablamowicz and Bertfried Fauser},
journal= {arXiv preprint arXiv:1206.3682},
year = {2012}
}
Comments
paper accepted for presentation @ AGACSE12, La Rochelle