Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/Krylov_multi

[Krylov_multi.git] / krylov_multi.tex

diff --git a/krylov_multi.tex b/krylov_multi.tex
index 0fd3b7919cddd12d22e8c9750d7b800db22081e0..ad465ee8ace6ca835cf2f0f9a07c2da69b36f2ac 100644 (file)
--- a/krylov_multi.tex
+++ b/krylov_multi.tex
@@ -14,6 +14,10 @@
 \maketitle
 
 
 \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
 \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}
 
 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
 \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.
 
 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}
 
 \bibliographystyle{plain}
 \bibliography{biblio}