fdurastante/psblas3
1
0
Fork 0
mirror of https://github.com/sfilippone/psblas3.git synced 2026-10-16 02:49:03 +00:00
Code Issues Packages Projects Releases Wiki Activity

Updated docs with fnd_owner adn set_p_adjcncy

Browse Source
This commit is contained in:
Salvatore Filippone
2019-12-12 17:37:31 +00:00
parent acae5f9278
commit db2458dd29
327 changed files with 25044 additions and 24405 deletions
Download Patch File Download Diff File Expand all files Collapse all files
docs/html/node64.html
+82 -290
View File
@@ -3,8 +3,8 @@
<!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) -->
<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_genrm2s -- Generalized 2-Norm of Vector</TITLE>
<META NAME="description" CONTENT="psb_genrm2s -- Generalized 2-Norm of Vector">
<META NAME="keywords" CONTENT="userhtml">
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
@@ -16,178 +16,103 @@
<LINK REL="next" HREF="node65.html">
<LINK REL="previous" HREF="node63.html">
<LINK REL="up" HREF="node52.html">
<LINK REL="up" HREF="node55.html">
<LINK REL="next" HREF="node65.html">
</HEAD>
<BODY >
<DIV CLASS="navigation"><!--Navigation Panel-->
<A NAME="tex2html1043"
<A NAME="tex2html1052"
HREF="node65.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html1039"
HREF="node52.html">
<A NAME="tex2html1048"
HREF="node55.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html1033"
<A NAME="tex2html1042"
HREF="node63.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html1041"
<A NAME="tex2html1050"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html1044"
HREF="node65.html">psb_spsm Triangular</A>
<B> Up:</B> <A NAME="tex2html1040"
HREF="node52.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html1034"
HREF="node63.html">psb_normi Infinity</A>
&nbsp; <B> <A NAME="tex2html1042"
<B> Next:</B> <A NAME="tex2html1053"
HREF="node65.html">psb_norm1 1-Norm</A>
<B> Up:</B> <A NAME="tex2html1049"
HREF="node55.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html1043"
HREF="node63.html">psb_norm2 2-Norm</A>
&nbsp; <B> <A NAME="tex2html1051"
HREF="node1.html">Contents</A></B>
<BR>
<BR></DIV>
<!--End of Navigation Panel-->
<H2><A NAME="SECTION000512000000000000000">
psb_spmm -- Sparse Matrix by Dense Matrix
Product</A>
<H2><A NAME="SECTION00059000000000000000">
psb_genrm2s -- Generalized 2-Norm of Vector</A>
</H2>
<P>
This subroutine computes the Sparse Matrix by Dense Matrix Product:
<P>
<BR>
<DIV ALIGN="RIGHT" CLASS="mathdisplay">
<!-- MATH
\begin{equation}
y \leftarrow \alpha A x + \beta y
\end{equation}
-->
<A NAME="eq:f90spmm_no_tra"></A>
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG
WIDTH="102" HEIGHT="27" BORDER="0"
SRC="img48.png"
ALT="\begin{displaymath}
y \leftarrow \alpha A x + \beta y
\end{displaymath}"></TD>
<TD CLASS="eqno" WIDTH=10 ALIGN="RIGHT">
(<SPAN CLASS="arabic">1</SPAN>)</TD></TR>
</TABLE>
<BR CLEAR="ALL"></DIV><P></P>
<BR>
<DIV ALIGN="RIGHT" CLASS="mathdisplay">
<!-- MATH
\begin{equation}
y \leftarrow \alpha A^T x + \beta y
\end{equation}
-->
<A NAME="eq:f90spmm_tra"></A>
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
WIDTH="112" HEIGHT="27" BORDER="0"
SRC="img49.png"
ALT="\begin{displaymath}
y \leftarrow \alpha A^T x + \beta y
\end{displaymath}"></TD>
<TD CLASS="eqno" WIDTH=10 ALIGN="RIGHT">
(<SPAN CLASS="arabic">2</SPAN>)</TD></TR>
</TABLE>
<BR CLEAR="ALL"></DIV><P></P>
<BR>
<DIV ALIGN="RIGHT" CLASS="mathdisplay">
<!-- MATH
\begin{equation}
y \leftarrow \alpha A^H x + \beta y
\end{equation}
-->
<A NAME="eq:f90spmm_con"></A>
<TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG
WIDTH="114" HEIGHT="27" BORDER="0"
SRC="img50.png"
ALT="\begin{displaymath}
y \leftarrow \alpha A^H x + \beta y
\end{displaymath}"></TD>
<TD CLASS="eqno" WIDTH=10 ALIGN="RIGHT">
(<SPAN CLASS="arabic">3</SPAN>)</TD></TR>
</TABLE>
<BR CLEAR="ALL"></DIV><P></P>
<P>
where:
<DL>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
This subroutine computes a series of 2-norms on the columns of
a dense matrix <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN></STRONG></DT>
<DD>is the global dense matrix <SPAN CLASS="MATH"><IMG
WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img51.png"
ALT="$x_{:, :}$"></SPAN>
</DD>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN></STRONG></DT>
<DD>is the global dense matrix <SPAN CLASS="MATH"><IMG
WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img52.png"
ALT="$y_{:, :}$"></SPAN>
</DD>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN></STRONG></DT>
<DD>is the global sparse matrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>
</DD>
</DL>
ALT="$x$"></SPAN>:
<BR><P></P>
<DIV ALIGN="CENTER" CLASS="mathdisplay">
<!-- MATH
\begin{displaymath}
res(i) \leftarrow \|x(:,i)\|_2
\end{displaymath}
-->
<IMG
WIDTH="126" HEIGHT="29" BORDER="0"
SRC="img45.png"
ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
<P>
<PRE>
call psb_genrm2s(res, x, desc_a, info)
</PRE>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="2034"></A>
<DIV ALIGN="CENTER"><A NAME="2110"></A>
<TABLE>
<CAPTION><STRONG>Table 12:</STRONG>
<CAPTION><STRONG>Table 9:</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="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img29.png"
ALT="$res$"></SPAN></TD>
<TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></SPAN></TD>
ALT="$x$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_spmm</TD>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
</TR>
</TABLE>
</DIV>
@@ -196,13 +121,6 @@ Data types</CAPTION>
</DIV><P></P>
<BR>
<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>
<P>
<DL>
<DT><STRONG>Type:</STRONG></DT>
@@ -211,40 +129,10 @@ 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 <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$"></SPAN>.
<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">12</A>.
</DD>
<DT><STRONG>a</STRONG></DT>
<DD>the local portion of the sparse matrix
<SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" 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>x</STRONG></DT>
<DD>the local portion of global dense matrix
<SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>.
@@ -255,53 +143,9 @@ 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>
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:f90spmm">12</A>. The rank of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
</DD>
<DT><STRONG>beta</STRONG></DT>
<DD>the scalar <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></SPAN>.
<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">12</A>.
</DD>
<DT><STRONG>y</STRONG></DT>
<DD>the local portion of global dense matrix
<SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
<BR>
Scope: <B>local</B>
<BR>
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 type specified in
Table&nbsp;<A HREF="#tab:f90spmm">12</A>. The rank of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>.
Table&nbsp;<A HREF="#tab:f90nrm2s">9</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -313,75 +157,23 @@ Type: <B>required</B>
Intent: <B>in</B>.
<BR>
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>trans</STRONG></DT>
<DD>indicates 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: <SPAN CLASS="MATH"><IMG
WIDTH="79" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img53.png"
ALT="$trans = N$"></SPAN>
<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 <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> and <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN> 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 matrix <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
<DT><STRONG>res</STRONG></DT>
<DD>contains the 1-norm of (the columns of) <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>.
<BR>
Scope: <B>local</B>
Scope: <B>global</B>
<BR>
Type: <B>required</B>
Intent: <B>out</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">12</A>.
Specified as: a long precision real number.
</DD>
<DT><STRONG>info</STRONG></DT>
<DD>Error code.
@@ -400,26 +192,26 @@ An integer value; 0 means no error has been detected.
<DIV CLASS="navigation"><HR>
<!--Navigation Panel-->
<A NAME="tex2html1043"
<A NAME="tex2html1052"
HREF="node65.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html1039"
HREF="node52.html">
<A NAME="tex2html1048"
HREF="node55.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html1033"
<A NAME="tex2html1042"
HREF="node63.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html1041"
<A NAME="tex2html1050"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html1044"
HREF="node65.html">psb_spsm Triangular</A>
<B> Up:</B> <A NAME="tex2html1040"
HREF="node52.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html1034"
HREF="node63.html">psb_normi Infinity</A>
&nbsp; <B> <A NAME="tex2html1042"
<B> Next:</B> <A NAME="tex2html1053"
HREF="node65.html">psb_norm1 1-Norm</A>
<B> Up:</B> <A NAME="tex2html1049"
HREF="node55.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html1043"
HREF="node63.html">psb_norm2 2-Norm</A>
&nbsp; <B> <A NAME="tex2html1051"
HREF="node1.html">Contents</A></B> </DIV>
<!--End of Navigation Panel-->