X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/blobdiff_plain/f2b93de905ad07c8701e6cc195e12da13406d8f3..93cf1631938e6deb8446567aa8bab957ce6c0aa5:/paper.tex

diff --git a/paper.tex b/paper.tex
index ef0321c..b294efc 100644
--- a/paper.tex
+++ b/paper.tex
@@ -823,13 +823,13 @@ which concludes the induction and the proof.
 \label{sec:05}
 
 
-In order to see the influence of our algorithm with only one processor, we first
-show a comparison with GMRES or FGMRES and our algorithm. In Table~\ref{tab:01},
-we  show the  matrices we  have  used and  some of  them characteristics.  Those
-matrices  are   chosen  from   the  Davis  collection   of  the   University  of
-Florida~\cite{Dav97}. They are matrices arising in real-world applications.  For
-all the  matrices, the name,  the field,  the number of  rows and the  number of
-nonzero elements are given.
+In order to see the behavior of the proposal when considering only one processor, a first
+comparison with GMRES or FGMRES and the new algorithm detailed previously has been experimented. 
+Matrices that have been used with their characteristics (names, fields, rows, and nonzero coefficients) are detailed in 
+Table~\ref{tab:01}.  These latter, which are real-world applications matrices, 
+have been extracted 
+ from   the  Davis  collection,   University  of
+Florida~\cite{Dav97}.
 
 \begin{table}[htbp]
 \begin{center}
@@ -849,8 +849,9 @@ torso3             & 2D/3D problem & 259,156 & 4,429,042 \\
 \label{tab:01}
 \end{center}
 \end{table}
-
-The following  parameters have been chosen  for our experiments.   As by default
+Chosen parameters are detailed below.
+%The following  parameters have been chosen  for our experiments.   
+As by default
 the restart  of GMRES is performed every  30 iterations, we have  chosen to stop
 the GMRES every 30 iterations (\emph{i.e.} $max\_iter_{kryl}=30$).  $s$ is set to 8. CGLS is
 chosen  to minimize  the least-squares  problem with  the  following parameters:
