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mld2p4: final fixes for 1.1 release.
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@@ -299,7 +299,7 @@ ILU(<IMG
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WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
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SRC="img35.png"
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ALT="$p,t$">) [<A
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HREF="node25.html#Saad_book">19</A>, Chapter 10].
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HREF="node25.html#Saad_book">20</A>, Chapter 10].
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<P>
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A variant of the classical AS preconditioner that outperforms it
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@@ -307,7 +307,7 @@ in terms of convergence rate and of computation and communication
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time on parallel distributed-memory computers is the so-called <I>Restricted AS
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(RAS)</I> preconditioner [<A
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HREF="node25.html#CAI_SARKIS">5</A>,<A
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HREF="node25.html#EFSTATHIOU">13</A>]. It
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HREF="node25.html#EFSTATHIOU">14</A>]. It
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is obtained by zeroing the components of <IMG
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WIDTH="23" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
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SRC="img32.png"
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@@ -391,7 +391,7 @@ of <IMG
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SRC="img10.png"
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ALT="$W$"> increases [<A
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HREF="node25.html#dd1_94">7</A>,<A
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HREF="node25.html#dd2_96">20</A>]. To reduce the dependency
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HREF="node25.html#dd2_96">21</A>]. To reduce the dependency
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of the number of iterations on the degree of parallelism we may
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introduce a global coupling among the overlapping partitions by defining
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a coarse-space approximation <IMG
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@@ -646,12 +646,12 @@ in which the coarse-level correction is re-applied starting from the current
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coarse-level system. The corresponding preconditioners, called <I>multi-level</I>
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preconditioners, can significantly reduce the computational cost of preconditioning
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with respect to the two-level case (see [<A
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HREF="node25.html#dd2_96">20</A>, Chapter 3]).
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HREF="node25.html#dd2_96">21</A>, Chapter 3]).
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Additive and hybrid multilevel preconditioners
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are obtained as direct extensions of the two-level counterparts.
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For a detailed descrition of them, the reader is
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referred to [<A
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HREF="node25.html#dd2_96">20</A>, Chapter 3].
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HREF="node25.html#dd2_96">21</A>, Chapter 3].
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The algorithm for the application of a multi-level hybrid
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post-smoothed preconditioner <IMG
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WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
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@@ -685,7 +685,7 @@ and the corresponding basic preconditioner at each level <IMG
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SRC="img65.png"
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ALT="$A_1=A$">, while the related restriction operator is
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denoted by <IMG
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WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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SRC="img66.png"
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ALT="$R_l$">.
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@@ -724,14 +724,14 @@ $w = y_1$;
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}$
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-->
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<IMG
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WIDTH="429" HEIGHT="435" ALIGN="BOTTOM" BORDER="0"
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WIDTH="430" HEIGHT="435" ALIGN="BOTTOM" BORDER="0"
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SRC="img67.png"
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ALT="\framebox{
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\begin{minipage}{.85\textwidth} {\small
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\begin{tabbing}
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\quad \=\quad...
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...= y_l+r_l$\\
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\textbf{endfor} [1mm]
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\textbf{endfor} \ [1mm]
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$w = y_1$;
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\end{tabbing}}
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\end{minipage}}">
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