X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/blobdiff_plain/70ad0cb4dcbf00dcc4bade65051bf0273854d231..9deeb3b22421122e2872c4c432662811ec125909:/paper.tex

diff --git a/paper.tex b/paper.tex
index 51eab5c..e4421cd 100644
--- a/paper.tex
+++ b/paper.tex
@@ -374,6 +374,9 @@
 %\title{???}
 
 
+
+
+
 % author names and affiliations
 % use a multiple column layout for up to two different
 % affiliations
@@ -543,6 +546,7 @@ Iterative Krylov methods; sparse linear systems; error minimization; PETSc; %à
 % no \IEEEPARstart
 % You must have at least 2 lines in the paragraph with the drop letter
 % (should never be an issue)
+{\bf RAPH : EST ce qu'on parle de Krylov pour dire que les résidus constituent une base de Krylov... J'hésite... Tof t'en penses quoi?}
 Iterative  methods are become  more attractive  than direct  ones to  solve very
 large sparse linear  systems. They are more effective in  a parallel context and
 require less memory  and arithmetic operations than direct  methods. A number of
@@ -771,7 +775,24 @@ Larger experiments ....
 \end{table*}
 
 
+\begin{table*}
+\begin{center}
+\begin{tabular}{|r|r|r|r|r|r|r|r|r|} 
+\hline
+
+  nb. cores & threshold   & \multicolumn{2}{c|}{gmres variant} & \multicolumn{2}{c|}{2 stage CGLS} &  \multicolumn{2}{c|}{2 stage LSQR} & best gain \\ 
+\cline{3-8}
+             &                       & Time  & \# Iter.  & Time  & \# Iter. & Time  & \# Iter. & \\\hline \hline
+  8,192      & 6e-5                  & 149.54 & 17,280  & 28.68  &  3,810  & 29.05  & 3,990  & 5.21 \\
+  8,192      & 5e-5                  & 792.11 & 109,590 & 76.83  &  10,470  & 65.20  & 9,030  & 12.14 \\
+  16,384     & 4e-5                  & 718.61 & 86,400 & 98.98  &  10,830  & 131.86  & 14,790  & 7.26 \\
+\hline
 
+\end{tabular}
+\caption{Comparison of FGMRES  and 2 stage FGMRES algorithms for ex54 of Petsc (both with the MG preconditioner) with 25000 components per core on Curie (restart=30, s=12),  time is expressed in seconds.}
+\label{tab:04}
+\end{center}
+\end{table*}
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@@ -789,6 +810,7 @@ Larger experiments ....
 future plan : \\
 - study other kinds of matrices, problems, inner solvers\\
 - adaptative number of outer iterations to minimize\\
+- other methods to minimize the residuals?\\
 - implement our solver inside PETSc