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This commit is contained in:
Salvatore Filippone
+42
-68
@@ -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_geamax -- Infinity-Norm of Vector</TITLE>
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<META NAME="description" CONTENT="psb_geamax -- Infinity-Norm of Vector">
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<TITLE>psb_geamaxs -- Generalized Infinity Norm</TITLE>
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<META NAME="description" CONTENT="psb_geamaxs -- Generalized Infinity Norm">
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<META NAME="keywords" CONTENT="userhtml">
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<META NAME="resource-type" CONTENT="document">
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<META NAME="distribution" CONTENT="global">
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@@ -20,7 +20,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<LINK REL="next" HREF="node42.html">
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<LINK REL="previous" HREF="node40.html">
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<LINK REL="up" HREF="node37.html">
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<LINK REL="up" HREF="node36.html">
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<LINK REL="next" HREF="node42.html">
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</HEAD>
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@@ -30,7 +30,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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HREF="node42.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
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<A NAME="tex2html712"
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HREF="node37.html">
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HREF="node36.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
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<A NAME="tex2html706"
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HREF="node40.html">
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@@ -40,107 +40,82 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html717"
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HREF="node42.html">psb_geamaxs Generalized</A>
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HREF="node42.html">psb_geasum 1-Norm</A>
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<B> Up:</B> <A NAME="tex2html713"
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HREF="node37.html">Computational routines</A>
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HREF="node36.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html707"
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HREF="node40.html">psb_gedots Generalized</A>
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HREF="node40.html">psb_geamax Infinity-Norm</A>
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<B> <A NAME="tex2html715"
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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="SECTION00054000000000000000">
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psb_geamax -- Infinity-Norm of Vector</A>
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<H2><A NAME="SECTION00055000000000000000">
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psb_geamaxs -- Generalized Infinity Norm</A>
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</H2>
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<P>
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This function computes
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the infinity-norm of a vector <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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This subroutine computes a series of infinity norms on the columns of
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a dense matrix <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">.
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<BR>
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If <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"> is a real vector
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it computes infinity norm as:
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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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amax \leftarrow \max_i |x_i|
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res(i) \leftarrow \max_k |x(k,i)|
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\end{displaymath}
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-->
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<IMG
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WIDTH="118" HEIGHT="36" BORDER="0"
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SRC="img34.png"
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ALT="\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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else if <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"> is a complex vector then it computes the infinity-norm as:
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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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amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)}
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\end{displaymath}
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-->
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<IMG
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WIDTH="233" HEIGHT="36" BORDER="0"
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SRC="img35.png"
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ALT="\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}">
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WIDTH="148" HEIGHT="36" BORDER="0"
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SRC="img37.png"
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ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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<P>
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<PRE>
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psb_geamax(x, desc_a, info)
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call psb_geamaxs(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="1536"></A>
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<DIV ALIGN="CENTER"><A NAME="1575"></A>
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<TABLE>
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<CAPTION><STRONG>Table 4:</STRONG>
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<CAPTION><STRONG>Table 5:</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="44" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img36.png"
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ALT="$amax$"></TD>
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WIDTH="27" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img33.png"
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ALT="$res$"></TD>
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<TD ALIGN="LEFT"><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"></TD>
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<TD ALIGN="LEFT"><B>Function</B></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">Short Precision Real</TD>
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<TD ALIGN="LEFT">psb_geamax</TD>
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<TD ALIGN="LEFT">psb_geamaxs</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">Long Precision Real</TD>
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<TD ALIGN="LEFT">psb_geamax</TD>
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<TD ALIGN="LEFT">psb_geamaxs</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">Short Precision Complex</TD>
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<TD ALIGN="LEFT">psb_geamax</TD>
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<TD ALIGN="LEFT">psb_geamaxs</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">Long Precision Complex</TD>
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<TD ALIGN="LEFT">psb_geamax</TD>
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<TD ALIGN="LEFT">psb_geamaxs</TD>
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</TR>
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</TABLE>
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</DIV>
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@@ -160,10 +135,9 @@ Data types</CAPTION>
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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="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.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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@@ -171,9 +145,9 @@ 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: a rank one or two array or an object of type vdata<TT>psb_T_vect_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:f90amax">4</A>.
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Table <A HREF="#tab:f90mamax">5</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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@@ -185,21 +159,21 @@ 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 infinity norm of subvector <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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<DT><STRONG>res</STRONG></DT>
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<DD>is the infinity norm of the columns of <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.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 number or a rank-one array of long precision real numbers.
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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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@@ -221,7 +195,7 @@ An integer value; 0 means no error has been detected.
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HREF="node42.html">
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<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
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<A NAME="tex2html712"
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HREF="node37.html">
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HREF="node36.html">
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<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
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<A NAME="tex2html706"
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HREF="node40.html">
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@@ -231,11 +205,11 @@ An integer value; 0 means no error has been detected.
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
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<BR>
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<B> Next:</B> <A NAME="tex2html717"
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HREF="node42.html">psb_geamaxs Generalized</A>
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HREF="node42.html">psb_geasum 1-Norm</A>
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<B> Up:</B> <A NAME="tex2html713"
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HREF="node37.html">Computational routines</A>
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HREF="node36.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html707"
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HREF="node40.html">psb_gedots Generalized</A>
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HREF="node40.html">psb_geamax Infinity-Norm</A>
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<B> <A NAME="tex2html715"
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HREF="node1.html">Contents</A></B>
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<!--End of Navigation Panel-->
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