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psblas3:
base/internals/psi_idx_ins_cnv.f90 base/modules/psb_base_tools_mod.f90 base/modules/psb_gen_block_map_mod.f90 base/modules/psb_hash_map_mod.f90 base/modules/psb_indx_map_mod.f90 base/modules/psb_list_map_mod.f90 base/modules/psb_repl_map_mod.f90 base/modules/psi_i_mod.f90 base/tools/psb_cdins.f90 docs/html/footnode.html docs/html/index.html docs/html/node1.html docs/html/node10.html docs/html/node100.html docs/html/node101.html docs/html/node102.html docs/html/node103.html docs/html/node104.html docs/html/node105.html docs/html/node106.html docs/html/node107.html docs/html/node108.html docs/html/node109.html docs/html/node11.html docs/html/node110.html docs/html/node111.html docs/html/node112.html docs/html/node113.html docs/html/node114.html docs/html/node115.html docs/html/node116.html docs/html/node117.html docs/html/node118.html docs/html/node119.html docs/html/node12.html docs/html/node120.html docs/html/node13.html docs/html/node14.html docs/html/node15.html docs/html/node16.html docs/html/node17.html docs/html/node18.html docs/html/node19.html docs/html/node2.html docs/html/node20.html docs/html/node21.html docs/html/node22.html docs/html/node23.html docs/html/node24.html docs/html/node25.html docs/html/node26.html docs/html/node27.html docs/html/node28.html docs/html/node29.html docs/html/node3.html docs/html/node30.html docs/html/node31.html docs/html/node32.html docs/html/node33.html docs/html/node34.html docs/html/node35.html docs/html/node36.html docs/html/node37.html docs/html/node38.html docs/html/node39.html docs/html/node4.html docs/html/node40.html docs/html/node41.html docs/html/node42.html docs/html/node43.html docs/html/node44.html docs/html/node45.html docs/html/node46.html docs/html/node47.html docs/html/node48.html docs/html/node49.html docs/html/node5.html docs/html/node50.html docs/html/node51.html docs/html/node52.html docs/html/node53.html docs/html/node54.html docs/html/node55.html docs/html/node56.html docs/html/node57.html docs/html/node58.html docs/html/node59.html docs/html/node6.html docs/html/node60.html docs/html/node61.html docs/html/node62.html docs/html/node63.html docs/html/node64.html docs/html/node65.html docs/html/node66.html docs/html/node67.html docs/html/node68.html docs/html/node69.html docs/html/node7.html docs/html/node70.html docs/html/node71.html docs/html/node72.html docs/html/node73.html docs/html/node74.html docs/html/node75.html docs/html/node76.html docs/html/node77.html docs/html/node78.html docs/html/node79.html docs/html/node8.html docs/html/node80.html docs/html/node81.html docs/html/node82.html docs/html/node83.html docs/html/node84.html docs/html/node85.html docs/html/node86.html docs/html/node87.html docs/html/node88.html docs/html/node89.html docs/html/node9.html docs/html/node90.html docs/html/node91.html docs/html/node92.html docs/html/node93.html docs/html/node94.html docs/html/node95.html docs/html/node96.html docs/html/node97.html docs/html/node98.html docs/html/node99.html docs/html/userhtml.html docs/psblas-3.0.pdf docs/src/intro.tex New docs for LIDX. New LIDX parm in idx_cnv_ins.
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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_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_gedots -- Generalized Dot Product</TITLE>
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<META NAME="description" CONTENT="psb_gedots -- Generalized Dot Product">
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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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@@ -20,127 +20,117 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<LINK REL="next" HREF="node41.html">
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<BODY >
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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="tex2html705"
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HREF="node41.html">psb_geamaxs Generalized</A>
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<B> Up:</B> <A NAME="tex2html701"
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HREF="node36.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html695"
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HREF="node39.html">psb_gedots Generalized</A>
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<B> <A NAME="tex2html703"
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<B> Next:</B> <A NAME="tex2html706"
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HREF="node41.html">psb_geamax Infinity-Norm</A>
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<B> Up:</B> <A NAME="tex2html702"
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HREF="node37.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html696"
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HREF="node39.html">psb_gedot Dot</A>
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<B> <A NAME="tex2html704"
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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="SECTION00053000000000000000">
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psb_gedots -- Generalized Dot Product</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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This subroutine computes a series of dot products among the columns of
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two dense matrices <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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If <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="$x$"> is a real vector
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it computes infinity norm as:
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ALT="$x$"> and <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">:
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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 x(:,i)^T y(:,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="img29.png"
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ALT="\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}">
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WIDTH="150" HEIGHT="28" BORDER="0"
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SRC="img27.png"
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ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\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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If the matrices are complex, then the
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usual convention applies, i.e. the conjugate transpose 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="$x$"> 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="img30.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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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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ALT="$x$"> is
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used. If <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="$x$"> and <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"> are of rank one, then <IMG
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WIDTH="26" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img28.png"
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ALT="$res$"> is a scalar, else it
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is a rank one array.
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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_gedots(res, x, y, 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="1538"></A>
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<DIV ALIGN="CENTER"><A NAME="1558"></A>
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<TABLE>
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<CAPTION><STRONG>Table 4:</STRONG>
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<CAPTION><STRONG>Table 3:</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="img31.png"
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ALT="$amax$"></TD>
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<TD ALIGN="LEFT"><IMG
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WIDTH="26" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img28.png"
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ALT="$res$">, <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>Function</B></TD>
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ALT="$x$">, <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></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_gedots</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_gedots</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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<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
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<TD ALIGN="LEFT">psb_gedots</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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<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
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<TD ALIGN="LEFT">psb_gedots</TD>
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</TR>
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</TABLE>
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</DIV>
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@@ -163,7 +153,6 @@ Data types</CAPTION>
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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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@@ -171,9 +160,38 @@ 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:f90mdot">3</A>. The rank 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="$x$"> must be the same of <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">.
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</DD>
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<DT><STRONG>y</STRONG></DT>
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<DD>the local portion of global dense matrix
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<IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">.
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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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<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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containing numbers of type specified in
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Table <A HREF="#tab:f90mdot">3</A>. The rank of <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"> must be the same 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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</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 +203,25 @@ 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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<DT><STRONG>res</STRONG></DT>
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<DD>is the dot product of subvectors <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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ALT="$x$"> and <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">.
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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 the data type indicated
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in Table <A HREF="#tab:f90dot">2</A>.
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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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@@ -217,26 +239,26 @@ An integer value; 0 means no error has been detected.
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<P>
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<HR>
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HREF="node41.html">psb_geamaxs Generalized</A>
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<B> Previous:</B> <A NAME="tex2html695"
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<B> Next:</B> <A NAME="tex2html706"
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HREF="node41.html">psb_geamax Infinity-Norm</A>
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<B> Up:</B> <A NAME="tex2html702"
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HREF="node37.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html696"
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HREF="node39.html">psb_gedot Dot</A>
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