adding corrections of CH1

diff --git a/CHAPITRE_01.tex b/CHAPITRE_01.tex
index 12f27f52521fe3a77213673fa5e3e1616f358ca8..dd97ab94921297505141f2328f2d13a4a3e9ef36 100644 (file)
--- a/CHAPITRE_01.tex
+++ b/CHAPITRE_01.tex
@@ -362,7 +362,7 @@ The sequential iterative algorithm at each iteration computes the value of the r
   \label{eq:res}
    R = \max_{i=1, \dots, N}  \abs{X_i^{(k+1)} - X_i^k}
 \end{equation}  
-Where $N$ is the size of the vector $X$. Then, the iterative sequential algorithm stops  iterating if the maximum error between the last two successive solution vectors, as in \ref{eq:res}, is less than or equal a threshold value. Otherwise, it replaces the new vector $X^{(k+1)}$ with the old vector $X^k$ and computes a new iteration.
+Where $N$ is the size of the vector $X$. Then, the iterative sequential algorithm stops  iterating if the maximum error between the last two successive solution vectors, as in \ref{eq:res}, is less than or equal to a threshold value. Otherwise, it replaces the new vector $X^{(k+1)}$ with the old vector $X^k$ and computes a new iteration.
 
 \subsection{Synchronous Parallel Iterative method} 
 \label{ch1:3:1}
@@ -404,7 +404,7 @@ For example, in MPI this operation is directly applied using a high level commun
 \begin{figure}[h!]
 \centering
 \includegraphics[scale=0.75]{fig/ch1/sisc.pdf}
-\caption{The SICS Model}
+\caption{The SISC Model}
 \label{fig:ch1:15}
 \end{figure}
 
@@ -420,7 +420,7 @@ Accordingly, this algorithm can be  effectively run over a local cluster, where
 \begin{figure}[h!]
 \centering
 \includegraphics[scale=0.75]{fig/ch1/siac.pdf}
-\caption{The SIAS Model}
+\caption{The SIAC Model}
 \label{fig:ch1:16}
 \end{figure}