\includegraphics[width=100mm]{cluster_x_nodes_n1_x_n2.pdf}
\caption{Various grid configurations with networks $N1$ vs. $N2$}
\LZK{CE, remplacer les ``,'' des décimales par un ``.''}
+\RCE{ok}
\label{fig:02}
\end{figure}
two-stage algorithm in asynchronous mode with GMRES in synchronous mode. Several
benchmarks have been performed with various combinations of the grid resources
(CPU, Network, matrix size, \ldots). The test conditions are summarized
-in Table~\ref{tab:07}. In order to compare the execution times, this table
+in Table~\ref{tab:02}. In order to compare the execution times, Table~\ref{tab:03}
reports the relative gain between both algorithms. It is defined by the ratio
between the execution time of GMRES and the execution time of the
multisplitting.
\LZK{Quelle table repporte les gains relatifs?? Sûrement pas Table II !!}
+\RCE{Table III avec la nouvelle numerotation}
The ratio is greater than one because the asynchronous
multisplitting version is faster than GMRES.
Residual error precision & $10^{-5}$ to $10^{-9}$\\ \hline \\
\end{tabular}
\caption{Test conditions: GMRES in synchronous mode vs. Krylov two-stage in asynchronous mode}
-\label{tab:07}
+\label{tab:02}
\end{table}
\end{mytable}
%\end{table}
\caption{Relative gains of the two-stage multisplitting algorithm compared with the classical GMRES}
- \label{tab:08}
+ \label{tab:03}
\end{table}
Again, comprehensive and extensive tests have been conducted with different
\section{Conclusion}
-
In this paper we have presented the simulation of the execution of three
-different parallel solvers on some multi-core architectures. We have show that
+different parallel solvers on some multi-core architectures. We have shown that
the SimGrid toolkit is an interesting simulation tool that has allowed us to
determine which method to choose given a specified multi-core architecture.
Moreover the simulated results are in accordance (i.e. with the same order of
In future works, we plan to investigate how to simulate the behavior of really
large scale applications. For example, if we are interested to simulate the
execution of the solvers of this paper with thousand or even dozens of thousands
-or core, it is not possible to do that with SimGrid. In fact, this tool will
+of cores, it is not possible to do that with SimGrid. In fact, this tool will
make the real computation. So we plan to focus our research on that problematic.