From: lilia Date: Tue, 17 Dec 2013 10:12:45 +0000 (+0100) Subject: V-17-12-2013 X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/Krylov_multi.git/commitdiff_plain/c0329df983b381995f844afef4536e2853e59e78?ds=inline;hp=-c V-17-12-2013 --- c0329df983b381995f844afef4536e2853e59e78 diff --git a/krylov_multi.tex b/krylov_multi.tex index 8a64840..b96a5b9 100644 --- a/krylov_multi.tex +++ b/krylov_multi.tex @@ -14,6 +14,10 @@ \maketitle +%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + + \begin{abstract} In this paper we revist the krylov multisplitting algorithm presented in \cite{huang1993krylov} which uses a scalar method to minimize the krylov @@ -25,6 +29,11 @@ improvements compared to a classical GMRES both in terms of number of iterations and execution times. \end{abstract} + +%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + + \section{Introduction} Iterative methods are used to solve large sparse linear systems of equations of @@ -34,6 +43,21 @@ solving large linear systems with many cores, iterative methods often suffer from scalability problems. This is due to their need for collective communications to perform matrix-vector products and reduction operations. +%%%%% Lilia +% doit-on définir le principe et les préliminaires du multisplitting dans l'intro ou dans l'autre section? +% valides-tu le titre de la 2eme section? celle que je voudrai rédiger. + + +%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + + +\section{A two-stage method with a minimization} + + +%%%%%%%%%%%%%%%%%%%%%%%% +%%%%%%%%%%%%%%%%%%%%%%%% + \bibliographystyle{plain} \bibliography{biblio}