X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/blobdiff_plain/2f9ee779e2f2df4f7b910b9120f01326e0326779..84e15020344b77e5497c4a516cc20b472b2914cd:/paper.tex

diff --git a/paper.tex b/paper.tex
index 1d4cac0..b08750d 100644
--- a/paper.tex
+++ b/paper.tex
@@ -748,7 +748,7 @@ the convergence of GMRES($m$) for all $m$ under that assumption regarding $A$.
 
 We can now claim that,
 \begin{proposition}
-If $A$ is a positive real matrix, then the TSIRM algorithm is convergent.
+If $A$ is a positive real matrix and GMRES($m$) is used as solver, then the TSIRM algorithm is convergent.
 \end{proposition}
 
 \begin{proof}
@@ -756,7 +756,7 @@ Let $r_k = b-Ax_k$, where $x_k$ is the approximation of the solution after the
 $k$-th iterate of TSIRM.
 We will prove that $r_k \rightarrow 0$ when $k \rightarrow +\infty$.
 
-
+Each step of the TSIRM algorithm 
 \end{proof}
 
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