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diff --git a/IJHPCN/paper.tex b/IJHPCN/paper.tex
index 4c711cc7abc41be4172091ffe50c41dd3ede076a..9c7ff0ca1441206d71ffbf2d1eae683cfd1505a1 100644 (file)
--- a/IJHPCN/paper.tex
+++ b/IJHPCN/paper.tex
@@ -492,7 +492,7 @@ that the proposed TSIRM converges while the GMRES($m$) does not.
 In this section four kinds of experiments have been performed. First, some experiments on real matrices issued from the sparse matrix florida have been achieved out. Second, some experiments in parallel with some linear problems are reported and analyzed. Third, some experiments in parallèle with som nonlinear problems are illustrated. Finally some parameters of TSIRM are studied in order to understand their influences.\r
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 In this section four kinds of experiments have been performed. First, some experiments on real matrices issued from the sparse matrix florida have been achieved out. Second, some experiments in parallel with some linear problems are reported and analyzed. Third, some experiments in parallèle with som nonlinear problems are illustrated. Finally some parameters of TSIRM are studied in order to understand their influences.\r
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-\subsection{Real matrices in sequential}\r
+\subsection{Real matrices}\r

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@@ -776,16 +776,6 @@ taken into account with TSIRM.
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-%%%*********************************************************\r
-%%%*********************************************************\r
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-%%NEW\r
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-\subsection{Nonlinear problems in parallel}\r
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 \begin{figure}[htbp]\r
 \centering\r
   \includegraphics[width=0.5\textwidth]{nb_iter_sec_ex45_curie}\r
 \begin{figure}[htbp]\r
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   \includegraphics[width=0.5\textwidth]{nb_iter_sec_ex45_curie}\r


@@ -794,6 +784,19 @@ taken into account with TSIRM.
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 \end{figure}\r
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+%%NEW\r
+\r
+\subsection{Parallel nonlinear problems}\r
+\r
+With  PETSc,  linear  solvers  are  used inside  nonlinear  solvers.   The  SNES\r
+(Scalable Nonlinear  Equations Solvers) module  in PETSc implements easy  to use\r
+methods,  like  Newton-type, quasi-Newton  or  full  approximation scheme  (FAS)\r
+multigrid to solve systems of nonlinears equations.  As the SNES is based on the\r
+Krylov methods of PETSc, it is interesting to investigate if the TSIRM method is\r
+also efficient and scalable with non linear problems.\r
+\r
+\r
+\r

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 \begin{table*}[htbp]\r
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