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Salvatore Filippone
2014-03-25 11:24:42 +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_gedot -- Dot Product</TITLE>
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<TITLE>psb_geaxpby -- General Dense Matrix Sum</TITLE>
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@@ -20,132 +20,100 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<H2><A NAME="SECTION00052000000000000000">
psb_gedot -- Dot Product</A>
<H2><A NAME="SECTION00051000000000000000">
psb_geaxpby -- General Dense Matrix Sum</A>
</H2>
<P>
This function computes dot product between two vectors <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> and
<IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$">.
<BR>
If <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> and <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"> are real vectors
it computes dot-product as:
This subroutine is an interface to the computational kernel for
dense matrix sum:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
dot \leftarrow x^T y
y \leftarrow \alpha\> x+ \beta y
\end{displaymath}
-->
<IMG
WIDTH="74" HEIGHT="27" BORDER="0"
SRC="img24.png"
ALT="\begin{displaymath}dot \leftarrow x^T y\end{displaymath}">
WIDTH="93" HEIGHT="27" BORDER="0"
SRC="img19.png"
ALT="\begin{displaymath}y \leftarrow \alpha\&gt; x+ \beta y \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
Else if <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> and <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"> are complex vectors then it computes dot-product as:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
dot \leftarrow x^H y
\end{displaymath}
-->
<IMG
WIDTH="76" HEIGHT="27" BORDER="0"
SRC="img25.png"
ALT="\begin{displaymath}dot \leftarrow x^H y\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
<P></P>
<P>
<PRE>
psb_gedot(x, y, desc_a, info)
call psb_geaxpby(alpha, x, beta, y, desc_a, info)
</PRE>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1793"></A>
<DIV ALIGN="CENTER"><A NAME="1813"></A>
<TABLE>
<CAPTION><STRONG>Table 2:</STRONG>
<CAPTION><STRONG>Table 1:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><IMG
WIDTH="25" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$dot$">, <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">, <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></TD>
<TD ALIGN="LEFT"><B>Function</B></TD>
ALT="$y$">, <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$">, <IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_gedot</TD>
<TD ALIGN="LEFT">psb_geaxpby</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_gedot</TD>
<TD ALIGN="LEFT">psb_geaxpby</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_gedot</TD>
<TD ALIGN="LEFT">psb_geaxpby</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_gedot</TD>
<TD ALIGN="LEFT">psb_geaxpby</TD>
</TR>
</TABLE>
</DIV>
@@ -162,6 +130,20 @@ Data types</CAPTION>
<DT><STRONG><B>On Entry</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>alpha</STRONG></DT>
<DD>the scalar <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$">.
<BR>
Scope: <B>global</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f90axpby">1</A>.
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>the local portion of global dense matrix
<IMG
@@ -175,9 +157,9 @@ Type: <B>required</B>
<BR>
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:f90dot">2</A>. The rank of <IMG
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:f90axpby">1</A>. The rank of <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> must be the same of <IMG
@@ -185,8 +167,22 @@ Table&nbsp;<A HREF="#tab:f90dot">2</A>. The rank of <IMG
SRC="img21.png"
ALT="$y$">.
</DD>
<DT><STRONG>beta</STRONG></DT>
<DD>the scalar <IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$">.
<BR>
Scope: <B>global</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f90axpby">1</A>.
</DD>
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of global dense matrix
<DD>the local portion of the global dense matrix
<IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
@@ -196,11 +192,10 @@ Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
Intent: <B>inout</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:f90dot">2</A>. The rank of <IMG
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> containing numbers of the type
indicated in Table&nbsp;<A HREF="#tab:f90axpby">1</A>. The rank of <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"> must be the same of <IMG
@@ -221,21 +216,27 @@ Specified as: an object of type descdata<TT>psb_desc_type</TT>.
<P>
</DD>
</DL>
<P>
<DL>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>Function value</STRONG></DT>
<DD>is the dot product of subvectors <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> and <IMG
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of result submatrix <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$">.
<BR>
Scope: <B>global</B>
Scope: <B>local</B>
<BR>
Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f90dot">2</A>.
Type: <B>required</B>
<BR>
Intent: <B>inout</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 the type
indicated in Table&nbsp;<A HREF="#tab:f90axpby">1</A>.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
@@ -253,26 +254,26 @@ An integer value; 0 means no error has been detected.
<P>
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