From: laiymani Date: Mon, 28 Apr 2014 13:28:16 +0000 (+0200) Subject: Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/hpcc2014 X-Git-Tag: hpcc2014_submission~36 X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/hpcc2014.git/commitdiff_plain/85bdede0dce3662616d21678eafc402be648bb87?ds=sidebyside;hp=-c Merge branch 'master' of ssh://info.iut-bm.univ-fcomte.fr/hpcc2014 --- 85bdede0dce3662616d21678eafc402be648bb87 diff --combined hpcc.tex index 31a6964,cb85b00..aeafb67 --- a/hpcc.tex +++ b/hpcc.tex @@@ -483,7 -483,7 +483,7 @@@ The ratio between the simulated executi compared to the asynchronous multisplitting algorithm ($t_\text{GMRES} / t_\text{Multisplitting}$) is defined as the \emph{relative gain}. So, our objective running the algorithm in SimGrid is to obtain a relative gain greater than 1. A priori, obtaining a relative gain greater than 1 would be difficult in a local -area network configuration where the synchronous mode will take advantage on the +area network configuration where the synchronous GMRES method will take advantage on the rapid exchange of information on such high-speed links. Thus, the methodology adopted was to launch the application on a clustered network. In this configuration, degrading the inter-cluster network performance will penalize the @@@ -508,7 -508,8 +508,8 @@@ $\text{62}^\text{3} = \text{\np{238328} \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} @@@ -656,10 -657,10 +657,10 @@@ Note that the program was run with the 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