From 3b65e91d12024184ab5e9505b34d19c31f50b4e8 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Mon, 24 Apr 2006 12:08:27 +0000 Subject: [PATCH] *** empty log message *** --- docs/pdf/commrout.tex | 16 ++++++++-------- docs/pdf/methods.tex | 10 +++++----- 2 files changed, 13 insertions(+), 13 deletions(-) diff --git a/docs/pdf/commrout.tex b/docs/pdf/commrout.tex index ede035ad..18b5bfa2 100644 --- a/docs/pdf/commrout.tex +++ b/docs/pdf/commrout.tex @@ -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} diff --git a/docs/pdf/methods.tex b/docs/pdf/methods.tex index 1b0f03e8..0d169720 100644 --- a/docs/pdf/methods.tex +++ b/docs/pdf/methods.tex @@ -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.\\