mld2p4:
docs/pdf/Makefile docs/pdf/background.tex docs/pdf/building.tex docs/pdf/conventions.tex docs/pdf/gettingstarted.tex docs/pdf/highlevelview.tex docs/pdf/title.tex docs/pdf/userguide.tex docs/pdf/userinterface.tex docs/userguide.pdf further documentation fixes.stopcriterion
Salvatore Filippone
17 years ago
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593cc629ae
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\section{Configuring and Building MLD2P4\label{sec:configuring}}
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\section{Configuring and Building MLD2P4\label{sec:configuring}}
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- uso di GNU autoconf e automake \\
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- uso di GNU autoconf e automake \\
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- software di base necessario (MPI, BLACS, BLAS, PSBLAS - specificare versioni) \\
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- software di base necessario (MPI, BLACS, BLAS, PSBLAS, UMFPACK ? - specificare versioni)\\
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- software opzionale (UMFPACK, SuperLU, SuperLUdist - specificare versioni e opzioni di configure) \\
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- software opzionale (SuperLU, SuperLUdist - specificare versioni e opzioni di configure)\\
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- sistemi operativi e compilatori su cui MLD2P4 e' stato costruito con successo \\
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- sistemi operativi e compilatori su cui MLD2P4 e' stato costruito con successo \\
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- sono previste opzioni di configurazione per il debugging o per il profiling? \\
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- sono previste opzioni di configurazione per il debugging o per il profiling? \\
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- albero delle directory \\
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- albero delle directory generato al momento dell'installazione\\
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\section{Notational Conventions\label{sec:conventions}}
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\section{Notational Conventions\label{sec:conventions}}
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- caratteri tipografici usati nella guida (vedi guida ML recente e guida Aztec) \\
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- caratteri tipografici usati nella guida (vedi guida ML recente e guida Aztec) \\
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- convenzioni sui nomi di routine (differenza tra high-level e medium-level),
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- convenzioni sui nomi di routine (differenza nei nomi tra high-level e medium-level),
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strutture dati,\\
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strutture dati, moduli, costanti, etc. (vedi guida psblas) \\
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moduli, costanti, etc. (vedi guida psblas) \\
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- versione reale e complessa, singola e doppia precisione\\
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- versione reale e complessa\\
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\section{User Interface\label{sec:userinterface}}
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The basic user interface of MLD2P4 consists of six routines. The four routines \verb|mld_precinit|,
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\verb|mld_precset|, \verb|mld_precbld| and \verb|mld_precaply| encapsulate all the functionalities for the setup and application of any one-level and multi-level
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preconditioner implemented in the package.
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The routine \verb|mld_precfree| deallocates the preconditioner data structure, while
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\verb|mld_precdescr| prints a description of the preconditioner setup by the user.
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For each routine, the same user interface is overloaded with
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respect to the real/complex case and the single/double precision;
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arguments with appropriate data types must be passed to the routine,
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i.e.
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\begin{itemize}
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\item the sparse matrix data structure, containing the matrix to be
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preconditioned, must be of type \verb|mld_|\emph{x}\verb|spmat_type|
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with \emph{x} = \verb|s| for real single precision, \emph{x} = \verb|d|
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for real double precision, \emph{x} = \verb|c| for complex single precision,
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\emph{x} = \verb|z| for complex double precision;
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\item the preconditioner data structure must be of type
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\verb|mld_|\emph{x}\verb|prec_type|, with \emph{x} =
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\verb|s|, \verb|d|, \verb|c|, \verb|z|, according to the sparse
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matrix data structure;
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\item the arrays containing the vectors $v$ and $w$ involved in
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the preconditioner application $w=M^{-1}v$ must be of type
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\emph{type}\verb|(|\emph{kind\_parameter}\verb|)|, with \emph{type} =
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\verb|real|, \verb|complex| and \emph{kind\_parameter} = \verb|kind(1.)|,
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\verb|kind(1.d0)|, according to the sparse matrix and preconditioner
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data structure; note that the PSBLAS module provides the constants \verb|psb_spk_|
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= \verb|kind(1.)| and \verb|psb_dpk_| = \verb|kind(1.d0)|;
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\item real parameters defining the preconditioner must be declared
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according to the precision of the previous data structures
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(see Section \ref{sec:precset}).
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\end{itemize}
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A description of each routine is given in the remainder of this section.
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\subsection{Subroutine mld\_precinit\label{sec:precinit}}
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\begin{center}
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\verb|mld_precinit(p,ptype,info)| \\
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\verb|mld_precinit(p,ptype,info,nlev)| \\
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\end{center}
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\noindent
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This routine allocates and initializes the preconditioner data structure,
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according to the preconditioner type chosen by the user.
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\subsubsection*{Arguments}
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\begin{tabular}{p{1.2cm}p{11.5cm}}
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\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.
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\textbf{CONTROLLARE SE DEVE ESSERE INOUT O SOLO OUT} \\
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& The preconditioner data structure. Note that \emph{x}
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must be chosen according to the real/complex, single/double
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precision version of MLD2P4 under use.\\
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\verb|ptype| & \verb|character(len=*), intent(in)|.\\
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& The type of preconditioner. Its values are specified in Table~\ref{tab:precinit}.\\
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\verb|info| & \verb|integer, intent(out)|.\\
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& Error code. See Section~\ref{sec:errors} for details.\\
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\verb|nlev| & \verb|integer, optional, intent(in)|.\\
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& The number of levels of the multilevel preconditioner.
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If \verb|nlev| is not present and \verb|ptype|='ML'/'ml',
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then \verb|nlev|=2 is assumed. Otherwise, \verb|nlev| is ignored.
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\end{tabular}
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\subsection{Subroutine mld\_precset\label{sec:precset}}
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\begin{center}
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\verb|mld_precset(p,what,val,info)|\\
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\end{center}
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\noindent
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This routine sets the parameters defining the preconditioner. More
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precisely, the parameter identified by \verb|what| is assigned the value
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contained in \verb|val|.
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\subsubsection*{Arguments}
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\begin{tabular}{p{1.2cm}p{11.5cm}}
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\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\
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& The preconditioner data structure. Note that \emph{x} must
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be chosen according to the real/complex, single/double precision
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version of MLD2P4 under use.\\
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\verb|what| & \verb|integer, intent(in)|. \\
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& The number identifying the parameter to be set.
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A mnemonic constant has been associated to each of these
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numbers, as reported in Tables~\ref{tab:p_type}-\ref{tab:p_coarse}.\\
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\verb|val | & \verb|integer| \emph{or} \verb|character(len=*)| \emph{or}
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\verb|real(kind(1.))| \emph{or} \verb|real(kind(1.d0))|,
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\verb|intent(in)|.\\
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& The value of the parameter to be set. The list of allowed
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values and the corresponding data types is given in
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Table~\ref{tab:params}.\\
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\verb|info| & \verb|integer, intent(out)|.\\
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& Error code. See Section~\ref{sec:errors} for details.\\
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%\verb|ilev| & \verb|integer, optional, intent(in)|.\\
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% & For the multilevel preconditioner, the level at which the
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% preconditioner parameter has to be set.
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% The levels are numbered in increasing
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% order starting from the finest one, i.e.\ level 1 is the finest level.
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% If \verb|ilev| is not present, the parameter identified by \verb|what|
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% is set at all the appropriate levels (see Table~\ref{tab:params}).
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\end{tabular}
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\ \\
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A variety of (one-level and multi-level) preconditioner can be obtained
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by a suitable setting of the preconditioner parameters. These parameters
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can be logically divided into four groups, i.e.\ parameters defining
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\begin{enumerate}
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\item the type of multi-level preconditioner;
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\item the one-level preconditioner to be used as smoother;
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\item the aggregation algorithm;
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\item the coarse-space correction at the coarsest level.
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\end{enumerate}
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A list of the parameters that can be set, along with their allowed and
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default values, is given in Tables~\ref{tab:p_type}-\ref{tab:p_coarse}.
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%Note that the routine allows to set different features of the
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%preconditioner at each level through the use of \verb|ilev|.
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%This should be done by users with experience in the field of
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%multi-level preconditioners. Non-expert users are recommended
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%to call \verb| mld_precset| without specifying \verb|ilev|.
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\textbf{CORREGGERE LA ROUTINE E LA DOC INTERNA - ilev NON E' PIU'
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ACCESSIBILE ALL'UTENTE.}
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\begin{sidewaystable}
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\begin{center}
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\begin{tabular}{|l|l|p{2cm}|l|p{7cm}|}
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\hline
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\verb|what| & \emph{data type} & \verb|val| & \emph{default} &
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\emph{comments} \\ \hline
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%\multicolumn{5}{|c|}{\emph{type of the multi-level preconditioner}}\\ \hline
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\verb|mld_ml_type_| & \verb|character(len=*)|
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& 'ADD' \ \ \ 'MULT'
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& 'MULT'
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& basic multi-level framework: additive or multiplicative
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among the levels always additive inside a level) \\
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\verb|mld_smoother_type_|& \verb|character(len=*)|
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& 'DIAG' \ \ \ 'BJAC' \ \ \ 'AS'
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& 'AS'
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& basic one-level preconditioner (i.e.\ smoother) of the
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multi-level preconditioner
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\textbf{CAMBIARE NOME COSTANTE NEL SW, ORA E'
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mld\_prec\_type. INIBIRE no\_prec NELL'AMBITO DEL
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MULTILEVEL.} \\
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\verb|mld_smoother_pos_| & \verb|character(len=*)|
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& 'PRE' \ \ \ 'POST' \ \ \ 'TWOSIDE'
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& 2,...,\verb|nlev|
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& ``position'' of the smoother: pre-smoother, post-smoother,
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pre-/post-smoother \textbf{PREFERISCO TWOSIDE A BOTH
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PERCHE' E' DIVERSO DA TRILINOS} \\
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\hline
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\end{tabular}
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\end{center}
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\caption{Parameters defining the type of multi-level preconditioner.
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\label{tab:p_type}}
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\end{sidewaystable}
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\begin{sidewaystable}
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\begin{center}
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\begin{tabular}{|l|l|p{2cm}|l|p{7cm}|}
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\hline
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\verb|what| & \emph{data type} & \verb|val| & \emph{default} &
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\emph{comments} \\ \hline
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%\multicolumn{5}{|c|}{\emph{basic one-level preconditioner (smoother)}} \\ \hline
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\verb|mld_sub_ovr| & \verb|integer|
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& any number $\ge 0$
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& 1
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& \textbf{CAMBIARE NOME PARAMETRO NEL SW} \\
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\verb|mld_sub_restr_| &
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&
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&
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& \\
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\verb|mld_sub_prol_| &
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&
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&
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& \\
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\verb|mld_sub_solve_| &
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&
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&
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& \\
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\verb|mld_sub_fillin_| &
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&
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&
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& \textbf{CAMBIARE NOME PARAMETRO NEL SW} \\
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\verb|mld_sub_thresh_| &
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&
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&
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& \\
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\verb|mld_sub_ren_| &
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&
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&
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& \textbf{MANCA COSTANTE STRINGA ASSOCIATA} \\
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\hline
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\end{tabular}
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\end{center}
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\caption{Parameters defining the basic one-level preconditioner (smoother).
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\label{tab:p_smoother}}
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\end{sidewaystable}
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\begin{sidewaystable}
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\begin{center}
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\begin{tabular}{|l|l|p{2cm}|l|p{7cm}|}
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\hline
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\verb|what| & \emph{data type} & \verb|val| & \emph{default} &
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\emph{comments} \\ \hline
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%\multicolumn{5}{|c|}{\emph{aggregation algorithm}} \\ \hline
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\verb|mld_aggr_alg_| &
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&
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&
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& \\
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\verb|mld_aggr_kind_| &
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&
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&
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& \\
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\verb|mld_aggr_thresh_| &
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&
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&
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& \\
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\verb|mld_aggr_eig_| &
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&
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&
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& \textbf{MANCA STRINGA CORRISPONDENTE a mld\_max\_norm} \\
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\hline
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\end{tabular}
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\end{center}
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\caption{Parameters defining the aggregation algorithm.
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\label{tab:p_aggregation}}
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\end{sidewaystable}
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\begin{sidewaystable}
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\begin{center}
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\begin{tabular}{|l|l|p{2cm}|l|p{7cm}|}
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\hline
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\verb|what| & \emph{data type} & \verb|val| & \emph{default} &
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\emph{comments} \\ \hline
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%\multicolumn{5}{|c|}{\emph{coarse-space correction at the coarsest level}}\\ \hline
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\verb|mld_coarse_mat_| &
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&
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&
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& \\
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\verb|mld_coarse_solve_| &
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&
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&
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& \textbf{VEDI OSSERVAZIONI EMAIL 15-16/06/08}\\
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\verb|mld_coarse_subsolve_| &
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&
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&
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& \textbf{VEDI OSSERVAZIONI EMAIL 15-16/06/08}\\
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\verb|mld_coarse_sweeps_|&
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&
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&
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& \\
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\verb|mld_coarse_fillin_| &
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&
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&
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& \textbf{MODIFICA NOME PARAM. NEL SW} \\
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\verb|mld_coarse_thresh_| &
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&
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&
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& \\ \hline
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\end{tabular}
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\end{center}
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\caption{Parameters defining the coarse-space correction at the coarsest
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level.\label{tab:p_coarse}}
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\end{sidewaystable}
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\clearpage
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\subsection{Subroutine mld\_precbld\label{sec:precbld}}
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\begin{center}
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\verb|mld_precbld(a,desc_a,p,info)|\\
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\end{center}
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\noindent
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This routine builds the preconditioner according to the requirements made by
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the user through the routines \verb|mld_precinit| and \verb|mld_precset|.
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\subsubsection*{Arguments}
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\begin{tabular}{p{1.2cm}p{11.5cm}}
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\verb|a| & \verb|type(psb_|\emph{x}\verb|spmat_type), intent(in)|. \\
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& The sparse matrix structure containing the local part of the
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matrix to be preconditioned. Note that \emph{x} must be chosen according
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to the real/complex, single/double precision version of MLD2P4 under use.
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See the PSBLAS User's Guide for details \cite{ }.\\
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\verb|desc_a| & \verb|type(psb_desc_type), intent(in)|. \\
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& The communication descriptor of a. See the PSBLAS User's Guide for
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details \cite{ }.\\
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\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\
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& The preconditioner data structure. Note that \emph{x} must be chosen according
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to the real/complex, single/double precision version of MLD2P4 under use.\\
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\verb|info| & \verb|integer, intent(out)|.\\
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& Error code. See Section~\ref{sec:errors} for details.\\
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\end{tabular}
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\clearpage
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\subsection{Subroutine mld\_precaply\label{sec:precaply}}
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\begin{center}
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\verb|mld_precaply(p,x,y,desc_a,info)|\\
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\verb|mld_precaply(p,x,y,desc_a,info,trans,work)|\\
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\end{center}
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\noindent
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This routine computes $y = op(M^{-1})\, x$, where $M$ is a previously built
|
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|
preconditioner, stored in the \verb|p| data structure, and $op$
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|
denotes the preconditioner itself or its transpose, according to
|
||||||
|
the value of \verb|trans|.
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|
Note that, when MLD2P4 is used with a Krylov solver from PSBLAS,
|
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|
\verb|mld_precaply| is called within the PSBLAS routine \verb|mld_krylov|
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|
and hence is completely transparent to the user.
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|
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|
\subsubsection*{Arguments}
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|
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|
\begin{tabular}{p{1.2cm}p{11.5cm}}
|
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|
\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\
|
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|
& The preconditioner data structure, containing the local part of $M$.
|
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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|x| & \emph{type}\verb|(|\emph{kind\_parameter}\verb|), dimension(:), intent(in)|.\\
|
||||||
|
& The local part of the vector $x$. Note that \emph{type} and
|
||||||
|
\emph{kind\_parameter} must be chosen according
|
||||||
|
to the real/complex, single/double precision version of MLD2P4 under use.\\
|
||||||
|
\verb|y| & \emph{type}\verb|(|\emph{kind\_parameter}\verb|), dimension(:), intent(out)|.\\
|
||||||
|
& The local part of the vector $y$. Note that \emph{type} and
|
||||||
|
\emph{kind\_parameter} must be chosen according
|
||||||
|
to the real/complex, single/double precision version of MLD2P4 under use.\\
|
||||||
|
\verb|desc_a| & \verb|type(psb_desc_type), intent(in)|. \\
|
||||||
|
& The communication descriptor associated to the matrix to be
|
||||||
|
preconditioned.\\
|
||||||
|
\verb|info| & \verb|integer, intent(out)|.\\
|
||||||
|
& Error code. See Section~\ref{sec:errors} for details.\\
|
||||||
|
\verb|trans| & \verb|character(len=1), optional, intent(in).|\\
|
||||||
|
& If \verb|trans| = \verb|'N','n'| then $op(M^{-1}) = M^{-1}$;
|
||||||
|
if \verb|trans| = \verb|'T','t'| then $op(M^{-1}) = M^{-T}$
|
||||||
|
(transpose of $M^{-1})$.\\
|
||||||
|
\verb|work| & \emph{type}\verb|(|\emph{kind\_parameter}\verb|), dimension(:), optional, target|.\\
|
||||||
|
& Workspace. Its size must be at
|
||||||
|
least \verb|4 * psb_cd_get_local_cols(desc_a)| (see the PSBLAS User's Guide).
|
||||||
|
Note that \emph{type} and \emph{kind\_parameter} must be chosen according
|
||||||
|
to the real/complex, single/double precision version of MLD2P4 under use.\\
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
|
||||||
|
\subsection{Subroutine mld\_precfree\label{sec:precfree}}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\verb|mld_precfree(p,info)|\\
|
||||||
|
\end{center}
|
||||||
|
|
||||||
|
\noindent
|
||||||
|
This routine deallocates the preconditioner data structure.
|
||||||
|
|
||||||
|
\subsubsection*{Arguments}
|
||||||
|
|
||||||
|
\begin{tabular}{p{1.2cm}p{11.5cm}}
|
||||||
|
\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(inout)|.\\
|
||||||
|
& The preconditioner data structure. Note that \emph{x} must be chosen according
|
||||||
|
to the real/complex, single/double precision version of MLD2P4 under use.\\
|
||||||
|
\verb|info| & \verb|integer, intent(out)|.\\
|
||||||
|
& Error code. See Section~\ref{sec:errors} for details.\\
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
|
||||||
|
\subsection{Subroutine mld\_precdescr\label{sec:precdescr}}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
\verb|mld_precdescr(p,iout)|\\
|
||||||
|
\end{center}
|
||||||
|
|
||||||
|
\noindent
|
||||||
|
This routine prints a description of the preconditioner
|
||||||
|
to the standard output or to a file.
|
||||||
|
\textbf{FARE UNA SOLA ROUTINE, COL PARAMETRO IOUT OPZIONALE.}
|
||||||
|
|
||||||
|
\subsubsection*{Arguments}
|
||||||
|
|
||||||
|
\begin{tabular}{p{1.2cm}p{10.6cm}}
|
||||||
|
\verb|p| & \verb|type(mld_|\emph{x}\verb|prec_type), intent(in)|.\\
|
||||||
|
& The preconditioner data structure. Note that \emph{x} must be chosen according
|
||||||
|
to the real/complex, single/double precision version of MLD2P4 under use.\\
|
||||||
|
\verb|iout| & \verb|integer, intent(in)|.\\
|
||||||
|
& The id of the file where the preconditioner description
|
||||||
|
will be printed. If \verb|iout| is missing, the description is printed on
|
||||||
|
the standard output.\\
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
%%% Local Variables:
|
||||||
|
%%% mode: latex
|
||||||
|
%%% TeX-master: "userguide"
|
||||||
|
%%% End:
|
||||||
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