RCE : Remise en forme du tableau du dernier paragraphe - Quelques corrections

[rce2015.git] / paper.tex

diff --git a/paper.tex b/paper.tex
index 8f39683c3c12888c896932a733ab10d210630d9d..70f5e86720e5793588be7b34de66e90081dc989b 100644 (file)
--- a/paper.tex
+++ b/paper.tex
@@ -596,7 +596,7 @@ same test has been done with the grid 2x16 getting the same conclusion.
 \begin{tabular}{r c }
  \hline
  Grid & 2x16\\ %\hline
- Network & N2 : bw=1Gbs - lat=5E-05 \\ %\hline
+ Network & N2 : bw=1Gbs - lat=5.10$^{-5}$ \\ %\hline
  Input matrix size & N$_{x}$ = 150 x 150 x 150\\ \hline
  \end{tabular}
 Table 6 : CPU Power impact \\
@@ -654,10 +654,10 @@ The test conditions are summarized in the table below : \\
  \hline
  Grid & 2x50 totaling 100 processors\\ %\hline
  Processors & 1 GFlops to 1.5 GFlops\\
-   Intra-Network & bw=1.25 Gbits - lat=5E-05 \\ %\hline
-   Inter-Network & bw=5 Mbits - lat=2E-02\\
+   Intra-Network & bw=1.25 Gbits - lat=5.10$^{-5}$ \\ %\hline
+   Inter-Network & bw=5 Mbits - lat=2.10$^{-2}$\\
  Input matrix size & N$_{x}$ = From 62 to 150\\ %\hline
- Residual error precision: 10$^{-5}$ to 10$^{-9}$\\ \hline \\
+ Residual error precision & 10$^{-5}$ to 10$^{-9}$\\ \hline \\
  \end{tabular}
 \end{footnotesize}
 
@@ -666,11 +666,8 @@ CPU power and the network parameters (bandwidth and latency) in the
 simulator tool with different problem size. The relative gains greater
 than 1 between the two algorithms have been captured after each step of
 the test. Table I below has recorded the best grid configurations
-allowing a multiplitting method time more than 2.5 times lower than
-classical GMRES execution and convergence time. The finding thru this
-experimentation is the tolerance of the multisplitting method under a
-low speed network that we encounter usually with distant clusters thru the
-internet.
+allowing the multisplitting method execution time more performant 2.5 times than
+the classical GMRES execution and convergence time. The experimentation has demonstrated the relative multisplitting algorithm tolerance when using a low speed network that we encounter usually with distant clusters thru the internet.
 
 % use the same column width for the following three tables
 \newlength{\mytablew}\settowidth{\mytablew}{\footnotesize\np{E-11}}
@@ -686,49 +683,25 @@ internet.
 the classical GMRES}
   \label{"Table 7"}
 
-  \begin{mytable}{6}
-    \hline
-    bandwidth (Mbit/s)
-    & 5         & 5         & 5         & 5         & 5 \\
-    \hline
-    latency (ms)
-    & 20      & 20      & 20      & 20      & 20 \\
-    \hline
-    power (GFlops)
-    & 1         & 1         & 1         & 1.5       & 1.5 \\
-    \hline
-    size (N)
-    & 62        & 62        & 62        & 100       & 100 \\
-    \hline
-    Precision
-    & \np{E-5}  & \np{E-8}  & \np{E-9}  & \np{E-11} & \np{E-11} \\
-    \hline
-    Relative gain
-    & 2.52     & 2.55     & 2.52     & 2.57     & 2.54 \\
-    \hline
-  \end{mytable}
-
-  \smallskip
-
-  \begin{mytable}{6}
+  \begin{mytable}{11}
     \hline
     bandwidth (Mbit/s)
-    & 50        & 50        & 50        & 50        & 50 \\
+    & 5     & 5     & 5         & 5         & 5  & 50        & 50        & 50        & 50        & 50 \\
     \hline
     latency (ms)
-    & 20      & 20      & 20      & 20      & 20 \\
+    & 20      & 20      & 20      & 20      & 20 & 20      & 20      & 20      & 20      & 20 \\
     \hline
     power (GFlops)
-    & 1.5         & 1.5         & 1         & 1.5       & 1.5 \\
+    & 1    & 1    & 1    & 1.5       & 1.5  & 1.5         & 1.5         & 1         & 1.5       & 1.5 \\
     \hline
     size (N)
-    & 110       & 120       & 130       & 140       & 150 \\
+    & 62  & 62   & 62        & 100       & 100 & 110       & 120       & 130       & 140       & 150 \\
     \hline
     Precision
-    & \np{E-11} & \np{E-11} & \np{E-11} & \np{E-11} & \np{E-11}\\
+    & \np{E-5}  & \np{E-8}  & \np{E-9}  & \np{E-11} & \np{E-11} & \np{E-11} & \np{E-11} & \np{E-11} & \np{E-11} & \np{E-11}\\
     \hline
     Relative gain
-    & 2.53     & 2.51     & 2.58     & 2.55     & 2.54 \\
+    & 2.52     & 2.55     & 2.52     & 2.57     & 2.54 & 2.53     & 2.51     & 2.58     & 2.55     & 2.54 \\
     \hline
   \end{mytable}
 \end{table}