X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/hpcc2014.git/blobdiff_plain/8c35d2df5432dd07c403167c131d03b03c1c9d6e..85bdede0dce3662616d21678eafc402be648bb87:/hpcc.tex?ds=inline diff --git a/hpcc.tex b/hpcc.tex index dc816e2..aeafb67 100644 --- a/hpcc.tex +++ b/hpcc.tex @@ -476,8 +476,7 @@ study that the results depend on the following parameters: \item Hosts processors power (GFlops) can also influence on the results. \item Finally, when submitting job batches for execution, the arguments values passed to the program like the maximum number of iterations or the precision are critical. They allow us to ensure not only the convergence of the - algorithm but also to get the main objective in getting an execution time in asynchronous communication less than in - synchronous mode (i.e. GMRES). + algorithm but also to get the main objective in getting an execution time with the asynchronous multisplitting less than with synchronous GMRES. \end{itemize} The ratio between the simulated execution time of synchronous GMRES algorithm @@ -509,7 +508,8 @@ $\text{62}^\text{3} = \text{\np{238328}}$ to $\text{150}^\text{3} = \begin{table}[!t] \centering - \caption{2 clusters, each with 50 nodes} + \caption{Relative gain of the multisplitting algorithm compared to GMRES for + different configurations with 2 clusters, each one composed of 50 nodes.} \label{tab.cluster.2x50} \begin{mytable}{5} @@ -657,10 +657,10 @@ Note that the program was run with the following parameters: After analyzing the outputs, generally, for the two clusters including one hundred hosts configuration (Tables~\ref{tab.cluster.2x50}), some combinations of parameters affecting the results have given a relative gain more than 2.5, showing the effectiveness of the -asynchronous performance compared to the synchronous mode. +asynchronous multiplsitting compared to GMRES with two distant clusters. With these settings, Table~\ref{tab.cluster.2x50} shows -that after a deterioration of inter cluster network with a bandwidth of \np[Mbit/s]{5} and a latency in order of one hundredth of millisecond and a processor power +that after setting the bandwidth of the inter cluster network to \np[Mbit/s]{5} and a latency in order of one hundredth of millisecond and a processor power of one GFlops, an efficiency of about \np[\%]{40} is obtained in asynchronous mode for a matrix size of 62 elements. It is noticed that the result remains stable even we vary the residual error precision from \np{E-5} to \np{E-9}. By