mld2p4: final fixes for 1.1 release.

This commit is contained in:
Salvatore Filippone
2009-03-16 08:47:03 +00:00
parent 5e0cfebc6d
commit 73dac6d963
56 changed files with 1275 additions and 1325 deletions
+8 -8
View File
@@ -299,7 +299,7 @@ ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p,t$">) [<A
HREF="node25.html#Saad_book">19</A>, Chapter 10].
HREF="node25.html#Saad_book">20</A>, Chapter 10].
<P>
A variant of the classical AS preconditioner that outperforms it
@@ -307,7 +307,7 @@ in terms of convergence rate and of computation and communication
time on parallel distributed-memory computers is the so-called <I>Restricted AS
(RAS)</I> preconditioner&nbsp;[<A
HREF="node25.html#CAI_SARKIS">5</A>,<A
HREF="node25.html#EFSTATHIOU">13</A>]. It
HREF="node25.html#EFSTATHIOU">14</A>]. It
is obtained by zeroing the components of <IMG
WIDTH="23" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img32.png"
@@ -391,7 +391,7 @@ of <IMG
SRC="img10.png"
ALT="$W$"> increases [<A
HREF="node25.html#dd1_94">7</A>,<A
HREF="node25.html#dd2_96">20</A>]. To reduce the dependency
HREF="node25.html#dd2_96">21</A>]. To reduce the dependency
of the number of iterations on the degree of parallelism we may
introduce a global coupling among the overlapping partitions by defining
a coarse-space approximation <IMG
@@ -646,12 +646,12 @@ in which the coarse-level correction is re-applied starting from the current
coarse-level system. The corresponding preconditioners, called <I>multi-level</I>
preconditioners, can significantly reduce the computational cost of preconditioning
with respect to the two-level case (see [<A
HREF="node25.html#dd2_96">20</A>, Chapter 3]).
HREF="node25.html#dd2_96">21</A>, Chapter 3]).
Additive and hybrid multilevel preconditioners
are obtained as direct extensions of the two-level counterparts.
For a detailed descrition of them, the reader is
referred to [<A
HREF="node25.html#dd2_96">20</A>, Chapter 3].
HREF="node25.html#dd2_96">21</A>, Chapter 3].
The algorithm for the application of a multi-level hybrid
post-smoothed preconditioner <IMG
WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
@@ -685,7 +685,7 @@ and the corresponding basic preconditioner at each level <IMG
SRC="img65.png"
ALT="$A_1=A$">, while the related restriction operator is
denoted by <IMG
WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
SRC="img66.png"
ALT="$R_l$">.
@@ -724,14 +724,14 @@ $w = y_1$;
}$
-->
<IMG
WIDTH="429" HEIGHT="435" ALIGN="BOTTOM" BORDER="0"
WIDTH="430" HEIGHT="435" ALIGN="BOTTOM" BORDER="0"
SRC="img67.png"
ALT="\framebox{
\begin{minipage}{.85\textwidth} {\small
\begin{tabbing}
\quad \=\quad...
...= y_l+r_l$\\
\textbf{endfor} [1mm]
\textbf{endfor} \ [1mm]
$w = y_1$;
\end{tabbing}}
\end{minipage}}">