Relecture

[GMRES2stage.git] / paper.tex

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@@ -623,8 +623,9 @@ solved using only $m$
 iterations of an iterative method, this latter being initialized with the 
 last obtained approximation. 
 GMRES method~\cite{Saad86}, or any of its variants, can potentially be used as
 iterations of an iterative method, this latter being initialized with the 
 last obtained approximation. 
 GMRES method~\cite{Saad86}, or any of its variants, can potentially be used as

-inner solver. The current approximation of the Krylov method is then stored inside a matrix
-$S$ composed by the successive solutions that are computed during inner iterations.
+inner solver. The current approximation of the Krylov method is then stored inside a $n \times s$ matrix
+$S$, which is composed by the $s$ last solutions that have been computed during 
+the inner iterations phase.

 
 At each $s$ iterations, the minimization step is applied in order to
 compute a new  solution $x$. For that, the previous  residuals of $Ax=b$ are computed by
 
 At each $s$ iterations, the minimization step is applied in order to
 compute a new  solution $x$. For that, the previous  residuals of $Ax=b$ are computed by