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Use it in GENPDE. Update docs
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Salvatore Filippone
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@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<HTML>
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<HEAD>
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<TITLE>psb_norm1 -- 1-Norm of Sparse Matrix</TITLE>
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<META NAME="description" CONTENT="psb_norm1 -- 1-Norm of Sparse Matrix">
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<TITLE>psb_genrm2s -- Generalized 2-Norm of Vector</TITLE>
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@@ -20,102 +20,102 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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HREF="node58.html">psb_normi Infinity</A>
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HREF="node47.html">Computational routines</A>
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HREF="node56.html">psb_genrm2s Generalized</A>
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<B> <A NAME="tex2html939"
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<B> Next:</B> <A NAME="tex2html944"
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HREF="node58.html">psb_norm1 1-Norm</A>
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<B> Up:</B> <A NAME="tex2html940"
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HREF="node48.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html934"
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HREF="node56.html">psb_norm2 2-Norm</A>
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<B> <A NAME="tex2html942"
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HREF="node1.html">Contents</A></B>
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<BR>
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<BR>
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<!--End of Navigation Panel-->
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<H2><A NAME="SECTION000510000000000000000">
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psb_norm1 -- 1-Norm of Sparse Matrix</A>
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<H2><A NAME="SECTION00059000000000000000">
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psb_genrm2s -- Generalized 2-Norm of Vector</A>
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</H2>
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<P>
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This function computes the 1-norm of a matrix <IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">:
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<BR>
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<P>
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This subroutine computes a series of 2-norms on the columns of
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a dense matrix <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="$x$">:
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<BR><P></P>
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<DIV ALIGN="CENTER">
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<!-- MATH
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\begin{displaymath}
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nrm1 \leftarrow \|A\|_1
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res(i) \leftarrow \|x(:,i)\|_2
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\end{displaymath}
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-->
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<IMG
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WIDTH="98" HEIGHT="28" BORDER="0"
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SRC="img42.png"
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ALT="\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}">
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WIDTH="124" HEIGHT="28" BORDER="0"
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SRC="img41.png"
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ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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where:
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<DL>
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<DT><STRONG><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$"></STRONG></DT>
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<DD>represents the global matrix <IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">
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</DD>
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</DL>
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<P>
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<PRE>
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call psb_genrm2s(res, x, 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="1822"></A>
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<DIV ALIGN="CENTER"><A NAME="1855"></A>
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<TABLE>
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<CAPTION><STRONG>Table 10:</STRONG>
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<CAPTION><STRONG>Table 9:</STRONG>
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Data types</CAPTION>
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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"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$"></TD>
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<TD ALIGN="LEFT"><B>Function</B></TD>
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WIDTH="26" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img28.png"
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ALT="$res$"></TD>
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<TD ALIGN="LEFT"><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="$x$"></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_spnrm1</TD>
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<TD ALIGN="LEFT">Short Precision Real</TD>
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<TD ALIGN="LEFT">psb_genrm2s</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_spnrm1</TD>
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<TD ALIGN="LEFT">Long Precision Real</TD>
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<TD ALIGN="LEFT">psb_genrm2s</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_spnrm1</TD>
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<TR><TD ALIGN="LEFT">Short Precision Real</TD>
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<TD ALIGN="LEFT">Short Precision Complex</TD>
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<TD ALIGN="LEFT">psb_genrm2s</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_spnrm1</TD>
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<TR><TD ALIGN="LEFT">Long Precision Real</TD>
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<TD ALIGN="LEFT">Long Precision Complex</TD>
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<TD ALIGN="LEFT">psb_genrm2s</TD>
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</TR>
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</TABLE>
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</DIV>
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@@ -124,12 +124,6 @@ Data types</CAPTION>
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</DIV><P></P>
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<BR>
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<P>
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<PRE>
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psb_spnrm1(A, desc_a, info)
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psb_norm1(A, desc_a, info)
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</PRE>
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<P>
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<DL>
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<DT><STRONG>Type:</STRONG></DT>
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@@ -138,20 +132,23 @@ psb_norm1(A, desc_a, info)
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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>a</STRONG></DT>
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<DD>the local portion of the global sparse matrix
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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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<IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">.
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WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$">.
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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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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 spdata<TT>psb_Tspmat_type</TT>.
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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 specified in
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Table <A HREF="#tab:f90nrm2s">9</A>.
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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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@@ -163,19 +160,23 @@ Type: <B>required</B>
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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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<DT><STRONG><B>On Return</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>Function value</STRONG></DT>
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<DD>is the 1-norm of sparse submatrix <IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">.
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<DT><STRONG>res</STRONG></DT>
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<DD>contains the 1-norm of (the columns of) <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="$x$">.
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<BR>
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Scope: <B>global</B>
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<BR>
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Specified as: a long precision real number.
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Intent: <B>out</B>.
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<BR>
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Specified as: a long precision real number.
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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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@@ -193,26 +194,26 @@ An integer value; 0 means no error has been detected.
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<P>
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