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<!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) -->
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<TITLE>Communication routines</TITLE>
<META NAME="description" CONTENT="Communication routines">
<TITLE>psb_normi -- Infinity Norm of Sparse Matrix</TITLE>
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<H1><A NAME="SECTION00060000000000000000">
Communication routines</A>
</H1>
The routines in this chapter implement various global communication operators
on vectors associated with a discretization mesh. For auxiliary communication
routines not tied to a discretization space see&nbsp;<A HREF="node71.html#sec:toolsrout">6</A>.
<H2><A NAME="SECTION000511000000000000000">
psb_normi -- Infinity Norm of Sparse Matrix</A>
</H2>
<P>
<BR><HR>
<!--Table of Child-Links-->
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
This function computes the infinity-norm of a matrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>:
<BR>
<P>
<BR><P></P>
<DIV ALIGN="CENTER" CLASS="mathdisplay">
<!-- MATH
\begin{displaymath}
nrmi \leftarrow \|A\|_\infty
\end{displaymath}
-->
<UL CLASS="ChildLinks">
<LI><A NAME="tex2html1067"
HREF="node67.html">psb_halo -- Halo Data Communication</A>
<LI><A NAME="tex2html1068"
HREF="node68.html">psb_ovrl -- Overlap Update</A>
<LI><A NAME="tex2html1069"
HREF="node69.html">psb_gather -- Gather Global Dense Matrix</A>
<LI><A NAME="tex2html1070"
HREF="node70.html">psb_scatter -- Scatter Global Dense Matrix</A>
</UL>
<!--End of Table of Child-Links-->
<IMG
WIDTH="102" HEIGHT="29" BORDER="0"
SRC="img47.png"
ALT="\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
where:
<DL>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN></STRONG></DT>
<DD>represents the global matrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>
</DD>
</DL>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="2112"></A>
<TABLE>
<CAPTION><STRONG>Table 11:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Function</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
</TABLE>
</DIV>
</TD></TR>
</TABLE>
</DIV><P></P>
<BR>
<P>
<PRE>
psb_spnrmi(A, desc_a, info)
psb_normi(A, desc_a, info)
</PRE>
<P>
<DL>
<DT><STRONG>Type:</STRONG></DT>
<DD>Synchronous.
</DD>
<DT><STRONG><B>On Entry</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>a</STRONG></DT>
<DD>the local portion of the global sparse matrix
<SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>Function value</STRONG></DT>
<DD>is the infinity-norm of sparse submatrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>.
<BR>
Scope: <B>global</B>
<BR>
Specified as: a long precision real number.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>out</B>.
<BR>
An integer value; 0 means no error has been detected.
</DD>
</DL>
<P>
<BR><HR>
</BODY>