Updated description of DOT and friends to account for optional GLOBAL

var.
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Salvatore Filippone
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<H2><A NAME="SECTION000111000000000000000">
init -- Initialize a preconditioner</A>
</H2>
<H1><A NAME="SECTION000110000000000000000"></A>
<A NAME="sec:precs"></A>
<BR>
Preconditioner routines
</H1>
<P>
<PRE>
call prec%init(ptype, info)
</PRE>
<A NAME="sec:psprecs"></A>The base PSBLAS library contains the implementation of two simple
preconditioning techniques:
<UL>
<LI>Diagonal Scaling
</LI>
<LI>Block Jacobi with ILU(0) factorization
</LI>
</UL>
The supporting data type and subroutine interfaces are defined in the
module <code>psb_prec_mod</code>.
The old interfaces <code>psb_precinit</code> and <code>psb_precbld</code> are still supported for
backward compatibility
<P>
<DL>
<DT><STRONG>Type:</STRONG></DT>
<DD>Asynchronous.
</DD>
<DT><STRONG><B>On Entry</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>ptype</STRONG></DT>
<DD>the type of preconditioner.
Scope: <B>global</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a character string, see usage notes.
</DD>
<DT><STRONG><B>On Exit</B></STRONG></DT>
<DD><P>
</DD>
<DT><STRONG>prec</STRONG></DT>
<DD>Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a preconditioner data structure precdata<TT>psb_prec_type</TT>.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Scope: <B>global</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>out</B>.
<BR>
Error code: if no error, 0 is returned.
</DD>
</DL>
<BIG CLASS="LARGE"><B>Notes</B></BIG>
Legal inputs to this subroutine are interpreted depending on the
<SPAN CLASS="MATH"><IMG
WIDTH="41" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img154.png"
ALT="$ptype$"></SPAN> string as follows<A NAME="tex2html31"
HREF="footnode.html#foot7637"><SUP><SPAN CLASS="arabic">4</SPAN></SUP></A>:
<DL>
<DT><STRONG>NONE</STRONG></DT>
<DD>No preconditioning, i.e. the preconditioner is just a copy
operator.
</DD>
<DT><STRONG>DIAG</STRONG></DT>
<DD>Diagonal scaling; each entry of the input vector is
multiplied by the reciprocal of the sum of the absolute values of
the coefficients in the corresponding row of matrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>;
</DD>
<DT><STRONG>BJAC</STRONG></DT>
<DD>Precondition by a factorization of the
block-diagonal of matrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>, where block boundaries are determined
by the data allocation boundaries for each process; requires no
communication. Only the incomplete factorization <SPAN CLASS="MATH"><IMG
WIDTH="56" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
SRC="img155.png"
ALT="$ILU(0)$"></SPAN> is
currently implemented.
</DD>
</DL>
<BR><HR>
<!--Table of Child-Links-->
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
<P>
<UL CLASS="ChildLinks">
<LI><A NAME="tex2html1821"
HREF="node126.html">init -- Initialize a preconditioner</A>
<LI><A NAME="tex2html1822"
HREF="node127.html">build -- Builds a preconditioner</A>
<LI><A NAME="tex2html1823"
HREF="node128.html">apply -- Preconditioner application
routine</A>
<LI><A NAME="tex2html1824"
HREF="node129.html">descr -- Prints a description of current
preconditioner</A>
<LI><A NAME="tex2html1825"
HREF="node130.html">clone -- clone current
preconditioner</A>
<LI><A NAME="tex2html1826"
HREF="node131.html">free -- Free a preconditioner</A>
</UL>
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