11-01-2014 V0

[Krylov_multi.git] / krylov_multi.tex

diff --git a/krylov_multi.tex b/krylov_multi.tex
index 0ea51d8b74048cccfd43792b6bcb1b64c194206a..5a97c5f661129fa417082716709fdfdaf879072d 100644 (file)
--- a/krylov_multi.tex
+++ b/krylov_multi.tex
@@ -212,8 +212,8 @@ solving the $L$ splittings~(\ref{sec03:eq03})
 where for $k\in\{1,\ldots,s\}$, $x^k=[X_1^k,\ldots,X_L^k]$ is a solution of the global linear
 system. 
 %The advantage such a method is that the Krylov subspace does not need to be spanned by an orthogonal basis.
 where for $k\in\{1,\ldots,s\}$, $x^k=[X_1^k,\ldots,X_L^k]$ is a solution of the global linear
 system. 
 %The advantage such a method is that the Krylov subspace does not need to be spanned by an orthogonal basis.

-The advantage of such a method is that the Krylov subspace need neither to be spanned by an orthogonal
-basis nor synchronizations between the different clusters to generate this basis. 
+The advantage of such a Krylov subspace is that we need neither an orthogonal basis nor synchronizations
+between the different clusters to generate this basis.