From: lilia Date: Mon, 14 Apr 2014 09:37:23 +0000 (+0200) Subject: 14-02-2014 X-Git-Tag: hpcc2014_submission~121 X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/hpcc2014.git/commitdiff_plain/737105343d24592705f10585fb9b61184a9c76cb 14-02-2014 --- diff --git a/hpcc.tex b/hpcc.tex index 207c560..c8619f8 100644 --- a/hpcc.tex +++ b/hpcc.tex @@ -199,7 +199,7 @@ B_1 \\ \vdots\\ B_L \end{array} \right)\] -in such a way that successive rows of matrix $A$ and both vectors $x$ and $b$ are assigned to one cluster, where for all $l,m\in\{1,\ldots,L\}$ $A_{lm}$ is a rectangular block of $A$ of size $n_l\times n_m$, $X_l$ and $B_l$ are sub-vectors of $x$ and $b$, respectively, each of size $n_l$ and $\sum_{l} n_l=\sum_{m} n_m=n$. +in such a way that successive rows of matrix $A$ and both vectors $x$ and $b$ are assigned to one cluster, where for all $l,m\in\{1,\ldots,L\}$ $A_{lm}$ is a rectangular block of $A$ of size $n_l\times n_m$, $X_l$ and $B_l$ are sub-vectors of $x$ and $b$, respectively, of size $n_l$ each and $\sum_{l} n_l=\sum_{m} n_m=n$. The multisplitting method proceeds by iteration to solve in parallel the linear system on $L$ clusters of processors, in such a way each sub-system \begin{equation}