From: Christophe Guyeux Date: Fri, 10 Oct 2014 14:12:50 +0000 (+0200) Subject: première version de la conclusion X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/commitdiff_plain/c315caa973c79514a908f77115d9f95687851199 première version de la conclusion --- diff --git a/paper.tex b/paper.tex index 08e7b8a..6a83f52 100644 --- a/paper.tex +++ b/paper.tex @@ -1029,6 +1029,15 @@ In Table~\ref{tab:04}, some experiments with example ex54 on the Curie architect %%%********************************************************* %%%********************************************************* +A novel two-stage iterative algorithm has been proposed in this article, +in order to accelerate the convergence Krylov iterative methods. +Our TSIRM proposal acts as a merger between Krylov based solvers and +a least-squares minimization step. +The convergence of the method has been proven in some situations, while +experiments up to 16,394 cores have been led to verify that TSIRM runs +5 or 7 times faster than GMRES. + + For future work, the authors' intention is to investigate other kinds of matrices, problems, and inner solvers. The influence of all parameters must be tested too, while