X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rce2015.git/blobdiff_plain/dafba65047c83dc8589e550910a30da78e989adc..f1ca3116c910d634d5282b5b3e4dc929cae46560:/paper.tex diff --git a/paper.tex b/paper.tex index 76a9614..1391f0f 100644 --- a/paper.tex +++ b/paper.tex @@ -588,6 +588,7 @@ efficient for distributed systems with high latency networks. \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} @@ -658,11 +659,12 @@ In this section, the SimGrid simulator is used to compare the behavior of the 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. @@ -678,7 +680,7 @@ 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} @@ -719,7 +721,7 @@ multisplitting version is faster than GMRES. \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 @@ -734,9 +736,8 @@ geographically distant clusters through the internet. \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 @@ -758,7 +759,7 @@ converge and so to very different execution times. 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.