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fix documentation bug for NRM2
This commit is contained in:
Salvatore Filippone
2010-06-22 12:42:39 +00:00
parent 591166264b
commit e4452fe0a6
214 changed files with 8663 additions and 8784 deletions
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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_spmm -- Sparse Matrix by Dense Matrix Product</TITLE>
<META NAME="description" CONTENT="psb_spmm -- Sparse Matrix by Dense Matrix Product">
<TITLE>psb_spnrmi -- Infinity Norm of Sparse Matrix</TITLE>
<META NAME="description" CONTENT="psb_spnrmi -- Infinity Norm of Sparse Matrix">
<META NAME="keywords" CONTENT="userhtml">
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
@@ -26,140 +26,75 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<BODY >
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<H2><A NAME="SECTION000510000000000000000">
psb_spmm -- Sparse Matrix by Dense Matrix Product</A>
psb_spnrmi -- Infinity Norm of Sparse Matrix</A>
</H2>
<P>
This subroutine computes the Sparse Matrix by Dense Matrix Product:
This function computes the infinity-norm of a matrix <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$">:
<BR>
<P>
<BR>
<DIV ALIGN="RIGHT">
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{equation}
y \leftarrow \alpha P_r A P_c x + \beta y
\end{equation}
\begin{displaymath}
nrmi \leftarrow \|A\|_\infty
\end{displaymath}
-->
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG
WIDTH="136" HEIGHT="27" BORDER="0"
SRC="img50.png"
ALT="\begin{displaymath}
y \leftarrow \alpha P_r A P_c x + \beta y
\end{displaymath}"></TD>
<TD WIDTH=10 ALIGN="RIGHT">
(1)</TD></TR>
</TABLE>
<BR CLEAR="ALL"></DIV><P></P>
<BR>
<DIV ALIGN="RIGHT">
<!-- MATH
\begin{equation}
y \leftarrow \alpha P_r A^T P_c x + \beta y
\end{equation}
-->
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
WIDTH="145" HEIGHT="27" BORDER="0"
SRC="img51.png"
ALT="\begin{displaymath}
y \leftarrow \alpha P_r A^T P_c x + \beta y
\end{displaymath}"></TD>
<TD WIDTH=10 ALIGN="RIGHT">
(2)</TD></TR>
</TABLE>
<BR CLEAR="ALL"></DIV><P></P>
<BR>
<DIV ALIGN="RIGHT">
<!-- MATH
\begin{equation}
y \leftarrow \alpha P_r A^H P_c x + \beta y
\end{equation}
-->
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG
WIDTH="148" HEIGHT="27" BORDER="0"
SRC="img52.png"
ALT="\begin{displaymath}
y \leftarrow \alpha P_r A^H P_c x + \beta y
\end{displaymath}"></TD>
<TD WIDTH=10 ALIGN="RIGHT">
(3)</TD></TR>
</TABLE>
<BR CLEAR="ALL"></DIV><P></P>
<P>
<IMG
WIDTH="101" HEIGHT="28" BORDER="0"
SRC="img48.png"
ALT="\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
where:
<DL>
<DT><STRONG><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$x$"></STRONG></DT>
<DD>is the global dense submatrix <IMG
WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img53.png"
ALT="$x_{:, :}$">
</DD>
<DT><STRONG><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$"></STRONG></DT>
<DD>is the global dense submatrix <IMG
WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img54.png"
ALT="$y_{:, :}$">
</DD>
<DT><STRONG><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></STRONG></DT>
<DD>is the global sparse submatrix <IMG
<DD>represents the global matrix <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$">
</DD>
<DT><STRONG><IMG
WIDTH="45" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img55.png"
ALT="$P_r, P_c$"></STRONG></DT>
<DD>are the permutation matrices.
</DD>
</DL>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1426"></A>
<DIV ALIGN="CENTER"><A NAME="1425"></A>
<TABLE>
<CAPTION><STRONG>Table 11:</STRONG>
<CAPTION><STRONG>Table 10:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
@@ -167,32 +102,20 @@ Data types</CAPTION>
<TR><TD ALIGN="LEFT"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$">, <IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$x$">, <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$">, <IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img28.png"
ALT="$\alpha$">, <IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img29.png"
ALT="$\beta$"></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
ALT="$A$"></TD>
<TD ALIGN="LEFT"><B>Function</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TD ALIGN="LEFT">psb_spnrmi</TD>
</TR>
</TABLE>
</DIV>
@@ -203,10 +126,8 @@ Data types</CAPTION>
<P>
<PRE>
call psb_spmm(alpha, a, x, beta, y, desc_a, info)
call psb_spmm(alpha, a, x, beta, y,desc_a, info, &amp;
&amp; trans, work)
</PRE>
psb_spnrmi(A, desc_a, info)
</PRE>
<P>
<DL>
@@ -216,23 +137,8 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &amp;
<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="img28.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:f90spmm">11</A>.
</DD>
<DT><STRONG>a</STRONG></DT>
<DD>the local portion of the sparse matrix
<DD>the local portion of the global sparse matrix
<IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
@@ -246,68 +152,6 @@ Intent: <B>in</B>.
<BR>
Specified as: a structured data of type spdata<TT>psb_spmat_type</TT>.
</DD>
<DT><STRONG>x</STRONG></DT>
<DD>the local portion of global dense matrix
<IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$x$">.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: a rank one or two array
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90spmm">11</A>. The rank of <IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$x$"> must be the same of <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$">.
</DD>
<DT><STRONG>beta</STRONG></DT>
<DD>the scalar <IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img29.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:f90spmm">11</A>.
</DD>
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of global dense matrix
<IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$">.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a rank one or two array
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90spmm">11</A>. The rank of <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$"> must be the same of <IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$x$">.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
<BR>
@@ -319,74 +163,18 @@ Intent: <B>in</B>.
<BR>
Specified as: a structured data of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>trans</STRONG></DT>
<DD>indicate what kind of operation to perform.
<DL>
<DT><STRONG>trans = N</STRONG></DT>
<DD>the operation is specified by equation <A HREF="#eq:f90spmm_no_tra">1</A>
</DD>
<DT><STRONG>trans = T</STRONG></DT>
<DD>the operation is specified by equation
<A HREF="#eq:f90spmm_tra">2</A>
</DD>
<DT><STRONG>trans = C</STRONG></DT>
<DD>the operation is specified by equation
<A HREF="#eq:f90spmm_con">3</A>
</DD>
</DL>
Scope: <B>global</B>
<BR>
Type: <B>optional</B>
<BR>
Intent: <B>in</B>.
<BR>
Default: <IMG
WIDTH="78" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img56.png"
ALT="$trans = N$">
<BR>
Specified as: a character variable.
<P>
</DD>
<DT><STRONG>work</STRONG></DT>
<DD>work array.
<BR>
Scope: <B>local</B>
<BR>
Type: <B>optional</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: a rank one array of the same type of <IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img26.png"
ALT="$x$"> and <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$"> with
the TARGET attribute.
<P>
</DD>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of result submatrix <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img27.png"
ALT="$y$">.
<DT><STRONG>Function value</STRONG></DT>
<DD>is the infinity-norm of sparse submatrix <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$">.
<BR>
Scope: <B>local</B>
Scope: <B>global</B>
<BR>
Type: <B>required</B>
<BR>
Intent: <B>inout</B>.
<BR>
Specified as: an array of rank one or two
containing numbers of type specified in
Table&nbsp;<A HREF="#tab:f90spmm">11</A>.
Specified as: a long precision real number.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
@@ -404,26 +192,26 @@ An integer value; 0 means no error has been detected.
<P>
<HR>
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