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Updated docs.
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Salvatore Filippone
2014-03-25 11:24:42 +00:00
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@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<TITLE>psb_geasum -- 1-Norm of Vector</TITLE>
<META NAME="description" CONTENT="psb_geasum -- 1-Norm of Vector">
<TITLE>psb_geamaxs -- Generalized Infinity Norm</TITLE>
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@@ -20,126 +20,102 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<H2><A NAME="SECTION00056000000000000000">
psb_geasum -- 1-Norm of Vector</A>
<H2><A NAME="SECTION00055000000000000000">
psb_geamaxs -- Generalized Infinity Norm</A>
</H2>
<P>
This function computes the 1-norm of a vector <IMG
This subroutine computes a series of infinity norms on the columns of
a dense matrix <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
If <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> is a real vector
it computes 1-norm as:
ALT="$x$">:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
asum \leftarrow \|x_i\|
res(i) \leftarrow \max_k |x(k,i)|
\end{displaymath}
-->
<IMG
WIDTH="92" HEIGHT="28" BORDER="0"
SRC="img33.png"
ALT="\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
else if <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> is a complex vector then it computes 1-norm as:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1
\end{displaymath}
-->
<IMG
WIDTH="205" HEIGHT="28" BORDER="0"
SRC="img34.png"
ALT="\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
WIDTH="147" HEIGHT="36" BORDER="0"
SRC="img32.png"
ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
<P>
<PRE>
psb_geasum(x, desc_a, info)
call psb_geamaxs(res, x, desc_a, info)
</PRE>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1797"></A>
<DIV ALIGN="CENTER"><A NAME="1817"></A>
<TABLE>
<CAPTION><STRONG>Table 6:</STRONG>
<CAPTION><STRONG>Table 5:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><IMG
WIDTH="43" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img35.png"
ALT="$asum$"></TD>
WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img28.png"
ALT="$res$"></TD>
<TD ALIGN="LEFT"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></TD>
<TD ALIGN="LEFT"><B>Function</B></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_geasum</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_geasum</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_geasum</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_geasum</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
</TR>
</TABLE>
</DIV>
@@ -162,7 +138,6 @@ Data types</CAPTION>
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
Scope: <B>local</B>
<BR>
@@ -172,7 +147,7 @@ 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>
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90asum">6</A>.
Table&nbsp;<A HREF="#tab:f90mamax">5</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -184,21 +159,21 @@ 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>Function value</STRONG></DT>
<DD>is the 1-norm of vector <IMG
<DT><STRONG>res</STRONG></DT>
<DD>is the infinity norm of the columns of <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
Scope: <B>global</B>
<BR>
Specified as: a long precision real number.
Intent: <B>out</B>.
<BR>
Specified as: a number or a rank-one array of long precision real numbers.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
@@ -216,26 +191,26 @@ An integer value; 0 means no error has been detected.
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