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bytes docs/html/img76.png | Bin 442 -> 469 bytes docs/html/img78.png | Bin 202 -> 231 bytes docs/html/img79.png | Bin 311 -> 387 bytes docs/html/img8.png | Bin 272 -> 274 bytes docs/html/img81.png | Bin 209 -> 223 bytes docs/html/img84.png | Bin 254 -> 281 bytes docs/html/img86.png | Bin 573 -> 608 bytes docs/html/node13.html | 32 ++++++++------ docs/html/node14.html | 16 ++++--- docs/html/node15.html | 8 ++-- docs/html/node19.html | 10 ++++- docs/html/node20.html | 10 ++--- docs/html/node24.html | 4 +- docs/html/node3.html | 2 +- docs/html/node37.html | 2 +- docs/html/node4.html | 2 +- docs/mld2p4-2.2-guide.pdf | 86 ++++++++++++++++++------------------- docs/src/userinterface.tex | 4 +- 37 files changed, 99 insertions(+), 77 deletions(-) diff --git a/docs/html/img11.png b/docs/html/img11.png index 45a457cadb1d6de8435cd8a6e66df3dc0ca3ec5a..3ff4c6e64885379393f3b24e05fcb16bbe370f35 100644 GIT binary patch literal 461 zcmV;;0W$uHP)N)QxOAiu+IiH-h;AO1p6atpL*VSQrZA`87a7 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\begin{displaymath}
 Ax=b,
@@ -116,7 +116,8 @@ a hierarchy of index spaces and a corresponding hierarchy of matrices,
 <IMG
  WIDTH= + ALT="\begin{displaymath}\Omega^1 \equiv \Omega \supset \Omega^2 \supset \ldots \supset \Omega^{nlev}, +\quad A^1 \equiv A, A^2, \ldots, A^{nlev}, \end{displaymath}">

@@ -132,7 +133,7 @@ A vector space $\mathbb{R}^{n_{k}}$ is associated with $\Omega^k$. For all $k < nlev$, a restriction operator and a prolongation one are built, which connect two levels $k$ and \begin{displaymath}
 P^k \in \mathbb{R}^{n_k \times n_{k+1}}, \quad
@@ -191,7 +192,7 @@ A^{k+1}=R^kA^kP^k.
  -->
 
 <IMG
- WIDTH=$M^k$ is set up at each level $k < nlev$, and a solver is set up at the coarsest level, so that they are ready for application (for example, setting up a solver based on the $LU$ factorization means computing and storing the $L$ and $U$ factors). The construction of the hierarchy of AMG components described so far corresponds to the so-called build phase of the preconditioner. @@ -256,8 +257,15 @@ end \framebox{
\begin{minipage}{.85\textwidth}
\begin{tabbing}
\quad \=\quad \=\quad...
-...mm]
\>endif  [1mm]
\>return $u^k$  [1mm]
end
\end{tabbing}
\end{minipage}
} + ALT="\framebox{ +\begin{minipage}{.85\textwidth} +\begin{tabbing} +\quad \=\quad \=\quad... +...[1mm] +\>endif \\ [1mm] +\>return $u^k$\ \\ [1mm] +end +\end{tabbing}\end{minipage}}">
diff --git a/docs/html/node14.html b/docs/html/node14.html index 6731e93e..e560ac94 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -149,7 +149,7 @@ strongly-coupled neighborood of @@ -375,7 +375,7 @@ Parameters defining the aggregation algorithm. @@ -393,7 +393,7 @@ Currently, only the SYMDEC option applies decoupled aggregation to the sparsity pattern of $A+A^T$. @@ -471,7 +471,7 @@ number $\in [0, 1]$
\begin{displaymath}
 \Omega^k_j \subset \mathcal{N}_i^k(\theta) =
@@ -212,7 +212,7 @@ MLD2P4, since it has been shown to produce good results in practice
 <A NAME=
\begin{displaymath}
 \bar{P}^k =(\bar{p}_{ij}^k), \quad \bar{p}_{ij}^k =
@@ -265,7 +265,9 @@ P^k = S^k \bar{P}^k,
 <IMG
  WIDTH= + ALT="\begin{displaymath} +P^k = S^k \bar{P}^k, +\end{displaymath}">

@@ -275,7 +277,7 @@ method [2,24]. A simple choice for $S^k$ is the damped Jacobi smoother: @@ -290,7 +292,9 @@ S^k = I - \omega^k (D^k)^{-1} A^k_F , \begin{displaymath}
S^k = I - \omega^k (D^k)^{-1} A^k_F , 
\end{displaymath} + ALT="\begin{displaymath} +S^k = I - \omega^k (D^k)^{-1} A^k_F , +\end{displaymath}">

@@ -340,7 +344,7 @@ a_{ij}^k & \m...

and $\omega^k$ is an approximation of $R_i^k \in \mathbb{R}^{n_{k,i} \times n_k}$ that maps a vector $x^k$ to the vector $x_i^k$ made of the components of $x^k$ with indices in \begin{displaymath}
 ( M^k_{AS} )^{-1} = \sum_{i=1}^{m_k} P_i^k (A_i^k)^{-1} R_i^{k},
@@ -205,7 +205,7 @@ multilevel application phase, requires
 </BIG></BIG></BIG>
 <UL>
 <LI>the restriction of <SPAN CLASS=$w^k$ to the subspaces $\lfloor 40 \sqrt[3]{n} \rfloor$, where Any number

$> 1$

1.5Any integer

number $> 1$

20
0.01 The threshold $\theta$ in the aggregation algorithm, see (3) in Section 4.2. diff --git a/docs/html/node24.html b/docs/html/node24.html index 6e8cefdf..447807ca 100644 --- a/docs/html/node24.html +++ b/docs/html/node24.html @@ -62,9 +62,9 @@ This method computes $y = op(B^{-1})  x$, where $y = op(B^{-1})\, x$, where $B$ is a previously built diff --git a/docs/html/node3.html b/docs/html/node3.html index 992b3939..b7f7bd1d 100644 --- a/docs/html/node3.html +++ b/docs/html/node3.html @@ -72,7 +72,7 @@ Ax=b,
\begin{displaymath}
 Ax=b,
diff --git a/docs/html/node37.html b/docs/html/node37.html
index e28f6bbd..0d8df894 100644
--- a/docs/html/node37.html
+++ b/docs/html/node37.html
@@ -60,7 +60,7 @@ Mathematics Department, Macquarie University, Sydney.
 The command line arguments were: <BR>
  <STRONG>latex2html</STRONG> <TT>-local_icons -noaddress -dir ../../html userhtml.tex</TT>
 <P>
-The translation was initiated on 2018-10-25<BIG CLASS= +The translation was initiated on 2018-11-29

diff --git a/docs/html/node4.html b/docs/html/node4.html index 80e86fff..c478e331 100644 --- a/docs/html/node4.html +++ b/docs/html/node4.html @@ -80,7 +80,7 @@ constant --> \begin{displaymath}\verb\vert mld_version_string_\vert\end{displaymath} diff --git a/docs/mld2p4-2.2-guide.pdf b/docs/mld2p4-2.2-guide.pdf index ef3b293a..5394199e 100644 --- a/docs/mld2p4-2.2-guide.pdf +++ b/docs/mld2p4-2.2-guide.pdf @@ -2,7 +2,7 @@ % 145 0 obj << -/Length 1210 +/Length 1211 >> stream 0 g 0 G @@ -11,20 +11,20 @@ stream 0 g 0 G 0 g 0 G BT -/F17 24.7871 Tf 394.538 617.737 Td [(MLD2P4)]TJ -229.059 -27.023 Td [(User's)-375(and)-375(Reference)-375(Guide)]TJ +/F17 24.7871 Tf 394.538 618.833 Td [(MLD2P4)]TJ -229.059 -27.023 Td [(User's)-375(and)-375(Reference)-375(Guide)]TJ ET q -1 0 0 1 93.6 572.468 cm +1 0 0 1 93.6 573.564 cm 0 0 412.451 4.981 re f Q BT -/F19 14.3462 Tf 197.154 547.49 Td [(A)-350(guide)-350(for)-350(the)-350(MultiL)50(evel)-350(Domain)-350(De)50(c)50(omp)50(osition)]TJ -10.534 -17.256 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Note that \emph{x} % must be chosen according to the real/complex, single/double % precision version of MLD2P4 under use.\\ + \verb|icontxt| & \verb|integer, intent(in)|.\\ + & The communication context.\\ \verb|ptype| & \verb|character(len=*), intent(in)|.\\ & The type of preconditioner. Its values are specified in Table~\ref{tab:precinit}.\\