X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rce2015.git/blobdiff_plain/7598268ddab4631d2d0bbb07f6e4f7cbf8cfc2f3..1bc416301f8ca538fdb365309936bfe6c53fe68a:/paper.tex

diff --git a/paper.tex b/paper.tex
index cea0a41..bae87d3 100644
--- a/paper.tex
+++ b/paper.tex
@@ -192,9 +192,9 @@ concluding remarks and perspectives.
 \section{The asynchronous iteration model}
 \label{sec:asynchro}
 
-Asynchronous iterative methods have been  studied for many years theorecally and
+Asynchronous iterative methods have been  studied for many years theoritecally and
 practically. Many methods have been considered and convergence results have been
-proved. These  methods can  be used  to solve in  parallel fixed  point problems
+proved. These  methods can  be used  to solve, in  parallel, fixed  point problems
 (i.e. problems  for which  the solution is  $x^\star =f(x^\star)$.  In practice,
 asynchronous iterations  methods can be used  to solve, for example,  linear and
 non-linear systems of equations or optimization problems, interested readers are
@@ -205,11 +205,13 @@ studied. Otherwise, the  application is not ensure to reach  the convergence. An
 algorithm that supports both the synchronous or the asynchronous iteration model
 requires very few modifications  to be able to be executed  in both variants. In
 practice, only  the communications and  convergence detection are  different. In
-the  synchronous   mode,  the  iterations   are  synchronized  whereas   in  the
-asynchronous  one,  they are  not.   It  should  be  noticed that  non  blocking
-communications can be used in  both modes. Concerning the convergence detection,
-synchronous variants  can use  a global  convergence procedure  which acts  as a
-global synchronization point. In the asynchronous model, the convergence dectection is more tricky as it must not synchronize all the processors. Interested readers can consult~\cite{myBCCV05c,bahi07,ccl09:ij}. 
+the synchronous  mode, iterations are  synchronized whereas in  the asynchronous
+one, they are not.  It should be noticed that non blocking communications can be
+used in both  modes. Concerning the convergence  detection, synchronous variants
+can use  a global convergence procedure  which acts as a  global synchronization
+point. In the  asynchronous model, the convergence detection is  more tricky as
+it   must  not   synchronize  all   the  processors.   Interested  readers   can
+consult~\cite{myBCCV05c,bahi07,ccl09:ij}.
 
 \section{SimGrid}
  \label{sec:simgrid}
@@ -723,8 +725,7 @@ CONCLUSION
 
 \section*{Acknowledgment}
 
-
-The authors would like to thank\dots{}
+This work is partially funded by the Labex ACTION program (contract ANR-11-LABX-01-01).
 
 
 \bibliographystyle{wileyj}
