new

diff --git a/krylov_multi.tex b/krylov_multi.tex
index 7a7e809f2375277dff3ee8c0ba7bba161518dcb1..6e1f16c69144f0ee8eda861bd8fb87c234a6afa7 100644 (file)
--- a/krylov_multi.tex
+++ b/krylov_multi.tex
@@ -5,6 +5,7 @@
 \usepackage{graphicx}
 \usepackage{algorithm}
 \usepackage{algpseudocode}
 \usepackage{graphicx}
 \usepackage{algorithm}
 \usepackage{algpseudocode}

+\usepackage{multirow}

 
 \algnewcommand\algorithmicinput{\textbf{Input:}}
 \algnewcommand\Input{\item[\algorithmicinput]}
 
 \algnewcommand\algorithmicinput{\textbf{Input:}}
 \algnewcommand\Input{\item[\algorithmicinput]}


@@ -12,6 +13,9 @@
 \algnewcommand\algorithmicoutput{\textbf{Output:}}
 \algnewcommand\Output{\item[\algorithmicoutput]}
 
 \algnewcommand\algorithmicoutput{\textbf{Output:}}
 \algnewcommand\Output{\item[\algorithmicoutput]}
 

+\newcommand{\Time}[1]{\mathit{Time}_\mathit{#1}}
+\newcommand{\Prec}{\mathit{prec}}
+\newcommand{\Ratio}{\mathit{Ratio}}

 
 \title{A scalable multisplitting algorithm for solving large sparse linear systems} 
 \date{}
 
 \title{A scalable multisplitting algorithm for solving large sparse linear systems} 
 \date{}


@@ -352,6 +356,30 @@ obtained for  a 3D Poisson  problem, the number  of iterations is high.  Using a
 preconditioner  it  is   possible  to  reduce  the  number   of  iterations  but
 preconditioners are not scalable when using many cores.
 
 preconditioner  it  is   possible  to  reduce  the  number   of  iterations  but
 preconditioners are not scalable when using many cores.
 

+Doing many experiments  with many cores is  not easy and require to  access to a
+supercomputer  with several  hours for  developping  a code  and then  improving
+it. In the following we presented  some experiments we could achieved out on the
+Hector architecture,  the previous UK's  high-end computing resource,  funded by
+the UK Research Councils, which has been stopped in the early 2014.
+
+In the experiments  we report the size of the 3D  poisson considered, the number
+of processors used  (with the decomposition for the  multisplitting), the number
+of iterations for the GMRES method and the krylov multisplitting one and finally
+the execution  times. We  also give  the other parameters:  the restart  for the
+GRMES method
+
+
+\begin{table}[p]
+\begin{center}
+\begin{tabular}{|c||c|c|} 
+\hline
+Problem size & 
+\end{tabular}
+\caption{CAPTION}
+\label{tab1}
+\end{center}
+\end{table}
+

 \section{Conclusion and perspectives}
 
 Other applications (=> other matrices)\\
 \section{Conclusion and perspectives}
 
 Other applications (=> other matrices)\\