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In order to implement a complete Fast Multipole Method on the Cell processor, we need an efficient complex matrix multiplication on each Synergistic Processing Element (SPE) of the Cell processor. Since the last IBM SDK does not provide such routine, we build our own one in single precision with C programming. We show that the complex matrix multiplication requires a specific computation scheme for...
We present in this paper multi-thread and multi-process parallelizations of the fast multipole method (FMM) for Laplace equation, for uniform and non uniform distributions. These parallelizations apply to the original FMM formulation and to our new matrix formulation with BLAS (basic linear algebra subprograms) routines. Differences between the multi-thread and the multi-process versions are detailed,...
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