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psblas3:

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Updated docs.
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Salvatore Filippone
2017-02-12 18:19:15 +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_geasums -- Generalized 1-Norm of Vector</TITLE>
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<TITLE>psb_geamaxs -- Generalized Infinity Norm</TITLE>
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@@ -20,43 +20,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<H2><A NAME="SECTION00057000000000000000">
psb_geasums -- Generalized 1-Norm of Vector</A>
<H2><A NAME="SECTION00055000000000000000">
psb_geamaxs -- Generalized Infinity Norm</A>
</H2>
<P>
This subroutine computes a series of 1-norms on the columns of
This subroutine computes a series of infinity norms on the columns of
a dense matrix <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
@@ -76,61 +76,17 @@ res(i) \leftarrow \max_k |x(k,i)|
</DIV>
<BR CLEAR="ALL">
<P></P>
This function computes the 1-norm of a vector <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
If <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> is a real vector
it computes 1-norm as:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
res(i) \leftarrow \|x_i\|
\end{displaymath}
-->
<IMG
WIDTH="94" HEIGHT="28" BORDER="0"
SRC="img36.png"
ALT="\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
else if <IMG
WIDTH="13" HEIGHT="14" 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}
res(i) \leftarrow \|re(x)\|_1 + \|im(x)\|_1
\end{displaymath}
-->
<IMG
WIDTH="207" HEIGHT="28" BORDER="0"
SRC="img37.png"
ALT="\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
<P>
<PRE>
call psb_geasums(res, x, desc_a, info)
call psb_geamaxs(res, x, desc_a, info)
</PRE>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1867"></A>
<DIV ALIGN="CENTER"><A NAME="1947"></A>
<TABLE>
<CAPTION><STRONG>Table 7:</STRONG>
<CAPTION><STRONG>Table 5:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
@@ -147,19 +103,19 @@ Data types</CAPTION>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_geasums</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_geasums</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_geasums</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_geasums</TD>
<TD ALIGN="LEFT">psb_geamaxs</TD>
</TR>
</TABLE>
</DIV>
@@ -191,7 +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:f90asums">7</A>.
Table&nbsp;<A HREF="#tab:f90mamax">5</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -203,14 +159,12 @@ 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>contains the 1-norm of (the columns of) <IMG
<DD>is the infinity norm of the columns of <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
@@ -219,8 +173,7 @@ Scope: <B>global</B>
<BR>
Intent: <B>out</B>.
<BR>
Short as: a long precision real number.
Specified as: a long precision real number.
Specified as: a number or a rank-one array of long precision real numbers.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
@@ -238,26 +191,26 @@ An integer value; 0 means no error has been detected.
<P>
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