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Updated docs with fnd_owner adn set_p_adjcncy
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Salvatore Filippone
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<TITLE>psb_geaxpby -- General Dense Matrix Sum</TITLE>
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<META NAME="description" CONTENT="psb_geaxpby -- General Dense Matrix Sum">
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<TITLE>Preconditioner data structure</TITLE>
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<B> <A NAME="tex2html910"
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HREF="node52.html">clone Clone</A>
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<B> <A NAME="tex2html908"
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HREF="node1.html">Contents</A></B>
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<BR>
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<BR></DIV>
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<!--End of Navigation Panel-->
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<H2><A NAME="SECTION00051000000000000000">
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psb_geaxpby -- General Dense Matrix Sum</A>
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<H2><A NAME="SECTION00044000000000000000"></A>
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<A NAME="sec:prec"></A>
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<BR>
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Preconditioner data structure
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</H2>
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Our base library offers support for simple well known preconditioners
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like Diagonal Scaling or Block Jacobi with incomplete
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factorization ILU(0).
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<P>
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This subroutine is an interface to the computational kernel for
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dense matrix sum:
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<BR><P></P>
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<DIV ALIGN="CENTER" CLASS="mathdisplay">
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<!-- MATH
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\begin{displaymath}
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y \leftarrow \alpha\> x+ \beta y
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\end{displaymath}
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-->
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A preconditioner is held in the precdata<TT> psb_prec_type</TT> data structure reported in
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figure <A HREF="#fig:prectype">6</A>. The <code>psb_prec_type</code>
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data type may contain a simple preconditioning matrix with the
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associated communication descriptor.The internal preconditioner is allocated appropriately with the
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dynamic type corresponding to the desired preconditioner.
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<IMG
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WIDTH="93" HEIGHT="27" BORDER="0"
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SRC="img19.png"
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ALT="\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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<P>
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<PRE>
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call psb_geaxpby(alpha, x, beta, y, desc_a, info)
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</PRE>
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<P>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="2023"></A>
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<DIV ALIGN="CENTER"><A NAME="fig:prectype"></A><A NAME="974"></A>
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<TABLE>
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<CAPTION><STRONG>Table 1:</STRONG>
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Data types</CAPTION>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 6:</STRONG>
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The PSBLAS defined data type that contains a preconditioner.</CAPTION>
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<TR><TD><SMALL CLASS="SMALL"> </SMALL>
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<DIV ALIGN="CENTER"></DIV><TABLE WIDTH="90%">
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<TR><TD>
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<DIV ALIGN="CENTER">
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<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
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<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"></SPAN>, <SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></SPAN>, <SPAN CLASS="MATH"><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img22.png"
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ALT="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><IMG
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WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img23.png"
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ALT="$\beta$"></SPAN></TD>
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<TD ALIGN="LEFT"><B>Subroutine</B></TD>
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</TR>
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<TR><TD ALIGN="LEFT">Short Precision Real</TD>
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<TD ALIGN="LEFT">psb_geaxpby</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Long Precision Real</TD>
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<TD ALIGN="LEFT">psb_geaxpby</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
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<TD ALIGN="LEFT">psb_geaxpby</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
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<TD ALIGN="LEFT">psb_geaxpby</TD>
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</TR>
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<PRE>
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type psb_Tprec_type
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class(psb_T_base_prec_type), allocatable :: prec
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end type psb_Tprec_type
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</PRE></TD></TR>
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</TABLE>
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<DIV ALIGN="CENTER"></DIV></TD></TR>
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</TABLE>
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</DIV>
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</TD></TR>
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</TABLE>
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</DIV><P></P>
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<BR>
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<P>
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<DL>
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<DT><STRONG>Type:</STRONG></DT>
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<DD>Synchronous.
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</DD>
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<DT><STRONG><B>On Entry</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>alpha</STRONG></DT>
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<DD>the scalar <SPAN CLASS="MATH"><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img22.png"
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ALT="$\alpha$"></SPAN>.
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<BR>
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Scope: <B>global</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a number of the data
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type indicated in Table <A HREF="#tab:f90axpby">1</A>.
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>the local portion of global dense matrix
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<SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"></SPAN>.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
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containing numbers of type
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specified in Table <A HREF="#tab:f90axpby">1</A>. The rank of <SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></SPAN>.
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</DD>
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<DT><STRONG>beta</STRONG></DT>
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<DD>the scalar <SPAN CLASS="MATH"><IMG
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WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img23.png"
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ALT="$\beta$"></SPAN>.
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<BR>
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Scope: <B>global</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a number of the data type indicated in Table <A HREF="#tab:f90axpby">1</A>.
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</DD>
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<DT><STRONG>y</STRONG></DT>
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<DD>the local portion of the global dense matrix
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<SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></SPAN>.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> containing numbers of the type
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indicated in Table <A HREF="#tab:f90axpby">1</A>. The rank of <SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"></SPAN>.
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</DD>
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<DT><STRONG>desc_a</STRONG></DT>
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<DD>contains data structures for communications.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: an object of type descdata<TT>psb_desc_type</TT>.
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<P>
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</DD>
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</DL>
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<P>
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<DL>
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<DT><STRONG><B>On Return</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>y</STRONG></DT>
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<DD>the local portion of result submatrix <SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></SPAN>.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> containing numbers of the type
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indicated in Table <A HREF="#tab:f90axpby">1</A>.
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</DD>
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<DT><STRONG>info</STRONG></DT>
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<DD>Error code.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>out</B>.
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<BR>
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An integer value; 0 means no error has been detected.
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</DD>
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</DL>
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<P>
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