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Salvatore Filippone
2006-04-24 12:08:27 +00:00
parent d003f55d95
commit 3b65e91d12
2 changed files with 13 additions and 13 deletions
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docs/pdf/commrout.tex
+8 -8
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@@ -121,8 +121,8 @@ Specified as: a structured data of type \descdata.
\item[update] Update operator. \\
\begin{description}
\item[update = psb\_none\_] Do nothing;
\item[update = psb\_add\_] Sum overlap entries;
\item[update = psb\_avg\_] Average overlap entries;
\item[update = psb\_add\_] Sum overlap entries, i.e. apply $P^T$;
\item[update = psb\_avg\_] Average overlap entries, i.e. apply $P_aP^T$;
%% \item[update = psb\_square\_root\_] square root update $\sqrt{P_a}$;
\end{description}
Scope: {\bf global} \\
@@ -153,18 +153,18 @@ An integer value that contains an error code.
\item If there is no overlap in the data distribution, no operations
are performed;
\item The operator $P^{T}$ performs the reduction sum of overlap
elements; it is the inverse of a ``stretch'' operator $P$ that
elements; it is a ``prolongation'' operator $P^T$ that
replicates overlap elements, accounting for the physical replication
of data;
\item The operator $P_a$ performs a scaling on the overlap elements by
the amount of replication; thus, when combined with the reduction
operator, it implements the average of replicated elements over all of
their instances.
\item The square root update option makes it possible to applythe
following operator:
\[ x\leftarrow \sqrt{P_a} P^{T} K^{-1} P \sqrt{P_a} x\]
In the case of a symmetric $K$, this preserves simmetry of the overall
preconditioner, which would otherwise be destroyed.
%% \item The square root update option makes it possible to applythe
%% following operator:
%% \[ x\leftarrow \sqrt{P_a} P^{T} K^{-1} P \sqrt{P_a} x\]
%% In the case of a symmetric $K$, this preserves simmetry of the overall
%% preconditioner, which would otherwise be destroyed.
\end{enumerate}
docs/pdf/methods.tex
+5 -5
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@@ -133,7 +133,7 @@ Scope: {\bf global} \\
Type: {\bf optional}\\
Default: $itmax = 1000$.\\
Specified as: an integer variable $itmax \ge 1$.
\item[itrace] A tracing parameter.\\
\item[itrace] If $>0$ print out a convergence message every $itrace$ iterations.\\
Scope: {\bf global} \\
Type: {\bf optional}\\
\item[istop] An integer specifying the stopping criterion.\\
@@ -209,7 +209,7 @@ Scope: {\bf global} \\
Type: {\bf optional}\\
Default: $itmax = 1000$.\\
Specified as: an integer variable $itmax \ge 1$.
\item[itrace] A tracing parameter.\\
\item[itrace] If $>0$ print out a convergence message every $itrace$ iterations.\\
Scope: {\bf global} \\
Type: {\bf optional}\\
\item[istop] An integer specifying the stopping criterion.\\
@@ -286,7 +286,7 @@ Scope: {\bf global} \\
Type: {\bf optional}\\
Default: $itmax = 1000$.\\
Specified as: an integer variable $itmax \ge 1$.
\item[itrace] A tracing parameter.\\
\item[itrace] If $>0$ print out a convergence message every $itrace$ iterations.\\
Scope: {\bf global} \\
Type: {\bf optional}\\
\item[istop] An integer specifying the stopping criterion.\\
@@ -363,7 +363,7 @@ Scope: {\bf global} \\
Type: {\bf optional}\\
Default: $itmax = 1000$.\\
Specified as: an integer variable $itmax \ge 1$.
\item[itrace] A tracing parameter.\\
\item[itrace] If $>0$ print out a convergence message every $itrace$ iterations.\\
Scope: {\bf global} \\
Type: {\bf optional}\\
\item[irst] An integer specifying the restarting iteration.\\
@@ -443,7 +443,7 @@ Scope: {\bf global} \\
Type: {\bf optional}\\
Default: $itmax = 1000$.\\
Specified as: an integer variable $itmax \ge 1$.
\item[itrace] A tracing parameter.\\
\item[itrace] If $>0$ print out a convergence message every $itrace$ iterations.\\
Scope: {\bf global} \\
Type: {\bf optional}\\
\item[irst] An integer specifying the restart iteration.\\