X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/hpcc2014.git/blobdiff_plain/fe2acffc0f8d127cdeb32859d2666897c00f0058..28e01316fd4048f6765d2771d36cd4565cba5421:/hpcc.tex diff --git a/hpcc.tex b/hpcc.tex index 2523d89..04c5403 100644 --- a/hpcc.tex +++ b/hpcc.tex @@ -561,7 +561,7 @@ $\text{62}^\text{3} = \text{\np{238328}}$ to $\text{150}^\text{3} = \end{mytable} \end{table} -\RC{Du coup la latence est toujours la même, pourquoi la mettre dans la table?} +%\RC{Du coup la latence est toujours la même, pourquoi la mettre dans la table?} %Then we have changed the network configuration using three clusters containing %respectively 33, 33 and 34 hosts, or again by on hundred hosts for all the @@ -666,10 +666,10 @@ that after setting the bandwidth of the inter cluster network to \np[Mbit/s]{5 of one GFlops, an efficiency of about \np[\%]{40} is obtained in asynchronous mode for a matrix size of $62^3$ 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 -increasing the matrix size up to 100 elements, it was necessary to increase the +increasing the matrix size up to $100^3$ elements, it was necessary to increase the CPU power of \np[\%]{50} to \np[GFlops]{1.5} to get the algorithm convergence and the same order of asynchronous mode efficiency. Maintaining such processor power but increasing network throughput inter cluster up to \np[Mbit/s]{50}, the result of efficiency with a relative gain of 2.5 is obtained with -high external precision of \np{E-11} for a matrix size from 110 to 150 side +high external precision of \np{E-11} for a matrix size from $110^3$ to $150^3$ side elements. %For the 3 clusters architecture including a total of 100 hosts, @@ -679,8 +679,8 @@ elements. %(synchronous and asynchronous) is achieved with an inter cluster of %\np[Mbit/s]{10} and a latency of \np[ms]{E-1}. To challenge an efficiency greater than 1.2 with a matrix %size of 100 points, it was necessary to degrade the %inter cluster network bandwidth from 5 to \np[Mbit/s]{2}. -\AG{Conclusion, on prend une plateforme pourrie pour avoir un bon ratio sync/async ??? - Quelle est la perte de perfs en faisant ça ?} +%\AG{Conclusion, on prend une plateforme pourrie pour avoir un bon ratio sync/async ??? + %Quelle est la perte de perfs en faisant ça ?} %A last attempt was made for a configuration of three clusters but more powerful %with 200 nodes in total. The convergence with a relative gain around 1.1 was @@ -704,7 +704,7 @@ reach the following two objectives: \item To test the combination of the cluster and network specifications permitting to execute an asynchronous algorithm faster than a synchronous one. \end{enumerate} -Our results have shown that with two distant clusters, the asynchronous multisplitting is faster to \np[\%]{40} compared to the synchronous GMRES method +Our results have shown that with two distant clusters, the asynchronous multisplitting method is faster to \np[\%]{40} compared to the synchronous GMRES method which is not negligible for solving complex practical problems with more and more increasing size.