Define command for "bw" as well.

[GMRES_For_Journal.git] / GMRES_Journal.tex

diff --git a/GMRES_Journal.tex b/GMRES_Journal.tex
index e7437781ef1dcc435b25885b28cd5c7eca0a85d9..696ccf14bac3a1e474b107ee6551c67343848259 100644 (file)
--- a/GMRES_Journal.tex
+++ b/GMRES_Journal.tex
@@ -41,6 +41,7 @@ IUT Belfort-Montb\'eliard\\
 \{\texttt{lilia.ziane\_khoja},~\texttt{raphael.couturier},~\texttt{arnaud.giersch},~\texttt{jacques.bahi}\}\texttt{@univ-fcomte.fr}
 }
 
 \{\texttt{lilia.ziane\_khoja},~\texttt{raphael.couturier},~\texttt{arnaud.giersch},~\texttt{jacques.bahi}\}\texttt{@univ-fcomte.fr}
 }
 

+\newcommand{\BW}{\mathit{bw}}

 \newcommand{\Iter}{\mathit{iter}}
 \newcommand{\Max}{\mathit{max}}
 \newcommand{\Offset}{\mathit{offset}}
 \newcommand{\Iter}{\mathit{iter}}
 \newcommand{\Max}{\mathit{max}}
 \newcommand{\Offset}{\mathit{offset}}


@@ -329,10 +330,10 @@ requires the vector elements of its neighboring nodes corresponding to the colum
 which its local sub-matrix has nonzero values. Consequently, each computing node manages a global
 vector composed of a local vector of size $\frac{n}{p}$ and a shared vector of size $S$:
 \begin{equation}
 which its local sub-matrix has nonzero values. Consequently, each computing node manages a global
 vector composed of a local vector of size $\frac{n}{p}$ and a shared vector of size $S$:
 \begin{equation}

-  S = bw - \frac{n}{p},
+  S = \BW - \frac{n}{p},

 \label{eq:11}
 \end{equation}
 \label{eq:11}
 \end{equation}

-where $\frac{n}{p}$ is the size of the local vector and $bw$ is the bandwidth of the local sparse
+where $\frac{n}{p}$ is the size of the local vector and $\BW$ is the bandwidth of the local sparse

 sub-matrix which represents the number of columns between the minimum and the maximum column indices
 (see Figure~\ref{fig:01}). In order to improve memory accesses, we use the texture memory to
 cache elements of the global vector.
 sub-matrix which represents the number of columns between the minimum and the maximum column indices
 (see Figure~\ref{fig:01}). In order to improve memory accesses, we use the texture memory to
 cache elements of the global vector.