From: Christophe Guyeux Date: Mon, 13 Oct 2014 14:37:58 +0000 (+0200) Subject: sdjfo X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/commitdiff_plain/fd78ced113c137f5f83f7aea69a10961467aea3e?ds=inline sdjfo --- diff --git a/paper.tex b/paper.tex index e916be8..16b2de5 100644 --- a/paper.tex +++ b/paper.tex @@ -894,12 +894,12 @@ $\epsilon_{tsirm}=1e-10$. These experiments have been performed on an Intel(R Core(TM) i7-3630QM CPU @ 2.40GHz with the 3.5.1 version of PETSc. -In Table~\ref{tab:02}, experiments comparing -a GMRES variant with TSIRM in the resolution of linear systems are given. -In the second column, it can be noticed that either GMRES or FGMRES -(Flexible GMRES~\cite{Saad:1993}) is used to solve the linear system. Depending -to the matrices, different preconditioners are used. With TSIRM, the same -solver and the same preconditionner are used. This Table shows that TSIRM can +Experiments comparing +a GMRES variant with TSIRM in the resolution of linear systems are given in Table~\ref{tab:02}. +The second column describes whether GMRES or FGMRES +(Flexible GMRES~\cite{Saad:1993}) has been used for linear systems solving. +Different preconditioners have been used according to the matrices. With TSIRM, the same +solver and the same preconditionner are used. This table shows that TSIRM can drastically reduce the number of iterations to reach the convergence when the number of iterations for the normal GMRES is more or less greater than 500. In fact this also depends on two parameters: the number of iterations to stop GMRES