From: couturie Date: Tue, 17 Dec 2013 13:28:58 +0000 (+0100) Subject: Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/Krylov_multi X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/Krylov_multi.git/commitdiff_plain/87f15fb45ae134cbf1e3a43b7ffc2a19218487ee?hp=70c44690f5342df3f1f809bf2bf5565a1e50f6ff Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/Krylov_multi --- diff --git a/krylov_multi.tex b/krylov_multi.tex index 0fd3b79..ad465ee 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 @@ problem are presented. They show the obtained 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 @@ -66,6 +75,21 @@ of multisplitting algorithms that take benefit from multisplitting algorithms to solve large scale linear systems. Inner solvers could be based on scalar direct method with the LU method or scalar iterative one with GMRES. +%%%%% 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}