docs/pdf/gettingstarted.tex
 docs/userguide.pdf

Further docs fixes from Naples.
stopcriterion
Salvatore Filippone 16 years ago
parent 7c0cdfe809
commit 8ac5010810

@ -57,7 +57,7 @@ linear systems coming from finite-difference discretizations of basic
elliptic PDE problems, considered as standard tests for multi-level Schwarz
preconditioners \cite{aaecc_07,apnum_07}. However, this solver does
not necessarily correspond to the smallest number of iterations of the
preconditioned Krylov method, which is usually obtained by applying a
preconditioned Krylov method, which is usually obtained by applying
a direct solver to the coarsest-level system, e.g.\ based on the LU
factorization (see Section~\ref{sec:userinterface}
for the coarsest-level solvers available in MLD2P4).
@ -77,12 +77,12 @@ compilers.
\begin{tabular}{|l|l|p{6.4cm}|}
\hline
\textsc{type} & \textsc{string} & \textsc{default preconditioner} \\ \hline
No preconditioner &\verb|'NOPREC'|& (Considered only to use the PSBLAS
Krylov solvers with no preconditioner.) \\
Diagonal & \verb|'DIAG'| & --- \\
Block Jacobi & \verb|'BJAC'| & Block Jacobi with ILU(0) on the local blocks.\\
No preconditioner &\verb|'NOPREC'|& Considered only to use the PSBLAS
Krylov solvers with no preconditioner. \\ \hline
Diagonal & \verb|'DIAG'| & --- \\ \hline
Block Jacobi & \verb|'BJAC'| & Block Jacobi with ILU(0) on the local blocks.\\ \hline
Additive Schwarz & \verb|'AS'| & Restricted Additive Schwarz (RAS),
with overlap 1 and ILU(0) on the local blocks. \\
with overlap 1 and ILU(0) on the local blocks. \\ \hline
Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive on the
same level and multiplicative through the levels),
with post-smoothing only.
@ -92,7 +92,7 @@ Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive
Aggregation: smoothed aggregation with
threshold $\theta = 0$.
Coarsest matrix: distributed among the processors.
Coarse-level solver:
Coarsest-level solver:
4 sweeps of the block-Jacobi solver,
with LU factorization of the blocks
(UMFPACK for the double precision versions and
@ -131,7 +131,7 @@ The setup and application of the default multi-level
preconditioners for the real single precision and the complex, single and double
precision, versions are obtained with straightforward modifications of the previous
example (see Section~\ref{sec:userinterface} for details). If these versions are installed,
the corresponding Fortran 95 codes are available in \verb|examples/fileread/| with these.
the corresponding Fortran 95 codes are available in \verb|examples/fileread/|.
\begin{figure}[tbp]
\begin{center}
@ -224,7 +224,7 @@ additive Schwarz preconditioner, i.e.\ RAS with overlap 2. The corresponding
example program is available in \verb|mld_dexample_1lev.f90|.
For all the previous preconditioners, example programs where the sparse matrix and
the right-hand side are generated by discretizing a Poisson equation with Dirichlet
the right-hand side are generated by discretizing a PDE with Dirichlet
boundary conditions are also available in the directory \verb|examples/pdegen|.

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