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Document DESC%CNV method and MOLD arguments to CDASB and PREC%BUILD

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Salvatore Filippone
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<TITLE>psb_geamaxs -- Generalized Infinity Norm</TITLE>
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<TITLE>psb_normi -- Infinity-Norm of Vector</TITLE>
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<H2><A NAME="SECTION00055000000000000000">
psb_geamaxs -- Generalized Infinity Norm</A>
<H2><A NAME="SECTION00054000000000000000">
psb_normi -- Infinity-Norm of Vector</A>
</H2>
<P>
This subroutine computes a series of infinity norms on the columns of
a dense matrix <IMG
This function computes
the infinity-norm of a vector <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">:
ALT="$x$"></SPAN>.
<BR>
If <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> is a real vector
it computes infinity norm as:
<BR><P></P>
<DIV ALIGN="CENTER">
<DIV ALIGN="CENTER" CLASS="mathdisplay">
<!-- MATH
\begin{displaymath}
res(i) \leftarrow \max_k |x(k,i)|
amax \leftarrow \max_i |x_i|
\end{displaymath}
-->
<IMG
WIDTH="148" HEIGHT="36" BORDER="0"
SRC="img32.png"
ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
WIDTH="118" HEIGHT="36" BORDER="0"
SRC="img29.png"
ALT="\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
else if <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> is a complex vector then it computes the infinity-norm as:
<BR><P></P>
<DIV ALIGN="CENTER" CLASS="mathdisplay">
<!-- MATH
\begin{displaymath}
amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)}
\end{displaymath}
-->
<IMG
WIDTH="233" HEIGHT="36" BORDER="0"
SRC="img30.png"
ALT="\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
<P>
<PRE>
call psb_geamaxs(res, x, desc_a, info)
psb_geamax(x, desc_a, info)
psb_normi(x, desc_a, info)
</PRE>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1952"></A>
<DIV ALIGN="CENTER"><A NAME="1980"></A>
<TABLE>
<CAPTION><STRONG>Table 5:</STRONG>
<CAPTION><STRONG>Table 4:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><IMG
WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img28.png"
ALT="$res$"></TD>
<TD ALIGN="LEFT"><IMG
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img31.png"
ALT="$amax$"></SPAN></TD>
<TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
ALT="$x$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Function</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
<TD ALIGN="LEFT">psb_geamax</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
<TD ALIGN="LEFT">psb_geamax</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
<TD ALIGN="LEFT">psb_geamax</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
<TD ALIGN="LEFT">psb_geamax</TD>
</TR>
</TABLE>
</DIV>
@@ -134,10 +157,11 @@ Data types</CAPTION>
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>the local portion of global dense matrix
<IMG
<SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
ALT="$x$"></SPAN>.
<BR>
Scope: <B>local</B>
<BR>
@@ -145,9 +169,9 @@ Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90mamax">5</A>.
Table&nbsp;<A HREF="#tab:f90amax">4</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -159,21 +183,21 @@ Type: <B>required</B>
Intent: <B>in</B>.
<BR>
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
<P>
</DD>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>res</STRONG></DT>
<DD>is the infinity norm of the columns of <IMG
<DT><STRONG>Function value</STRONG></DT>
<DD>is the infinity norm of subvector <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
ALT="$x$"></SPAN>.
<BR>
Scope: <B>global</B>
<BR>
Intent: <B>out</B>.
<BR>
Specified as: a number or a rank-one array of long precision real numbers.
Specified as: a long precision real number.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
@@ -189,29 +213,30 @@ An integer value; 0 means no error has been detected.
</DL>
<P>
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