From: lilia <lilia@agora>
Date: Fri, 10 Oct 2014 11:59:15 +0000 (+0200)
Subject: mMerge branch 'master' of ssh://bilbo.iut-bm.univ-fcomte.fr/GMRES2stage
X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/commitdiff_plain/8aeef74d04b37c2601749676e053a538ba3785cd

mMerge branch 'master' of ssh://bilbo.iut-bm.univ-fcomte.fr/GMRES2stage

Conflicts:
	paper.tex
---

8aeef74d04b37c2601749676e053a538ba3785cd
diff --cc paper.tex
index bf9e767,b08750d..f1becbd
--- a/paper.tex
+++ b/paper.tex
@@@ -745,7 -746,18 +745,22 @@@ where $\alpha = \lambda_min(M)^2$ and $
  the convergence of GMRES($m$) for all $m$ under that assumption regarding $A$.
  \end{proposition}
  
++<<<<<<< HEAD
 +
++=======
+ We can now claim that,
+ \begin{proposition}
+ If $A$ is a positive real matrix and GMRES($m$) is used as solver, then the TSIRM algorithm is convergent.
+ \end{proposition}
+ 
+ \begin{proof}
+ 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}
++>>>>>>> 84e15020344b77e5497c4a516cc20b472b2914cd
  
  %%%*********************************************************
  %%%*********************************************************