From: asider Date: Tue, 19 Jan 2016 19:55:37 +0000 (+0100) Subject: coreection X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper2.git/commitdiff_plain/3a3f2470814de45b731059c2635cbdc3c6673f6b?hp=ffe3a8a95387a8debfa5a5e7b3874f9b9f73e41e coreection --- diff --git a/paper.tex b/paper.tex index 4533cb9..f48492d 100644 --- a/paper.tex +++ b/paper.tex @@ -109,12 +109,12 @@ In this paper we propose the parallelization of Ehrlich-Aberth method which has \item The parallel implementation of Ehrlich-Aberth algorithm on a multi-GPU platform with a distributed memory using MPI API, such that each GPU is attached and managed by a MPI process. The GPUs - exchange their data by message-passing communications. + exchange their data by message-passing communications. This approach is more used on clusters to solve very complex problems that are too large for traditional supercomputers, which are very expensive to build and run. \item Our method is efficient to compute the roots of sparse and full polynomials of degree up to 5 millions. \end{itemize} -This latter approach is more used on clusters to solve very complex problems that are too large for traditional supercomputers, which are very expensive to build and run. + The paper is organized as follows. In Section~\ref{sec2} we present three different parallel programming models OpenMP, MPI and CUDA. In Section~\ref{sec3} we present the implementation of the Ehrlich-Aberth algorithm on a single GPU. In Section~\ref{sec4} we present the parallel implementations of the Ehrlich-Aberth algorithm on multiple GPUs using the OpenMP and MPI approaches. In section~\ref{sec5} we present our experiments and discuss them. Finally, Section~\ref{sec6} concludes this paper and gives some hints for future research directions in this topic.