fdurastante/psblas3
1
0
Fork 0
mirror of https://github.com/sfilippone/psblas3.git synced 2026-10-16 10:52:08 +00:00
Code Issues Packages Projects Releases Wiki Activity

Added entrywise inversion and documentation for vec-vec operation

Browse Source
This commit is contained in:
cirdans-home
2019-11-21 13:56:22 +01:00
parent db7b882e9c
commit b3c4971146
340 changed files with 24932 additions and 20314 deletions
Download Patch File Download Diff File Expand all files Collapse all files
docs/html/node55.html
+35 -35
View File
@@ -23,26 +23,26 @@
<BODY >
<DIV CLASS="navigation"><!--Navigation Panel-->
<A NAME="tex2html935"
<A NAME="tex2html944"
HREF="node56.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html931"
<A NAME="tex2html940"
HREF="node52.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html925"
<A NAME="tex2html934"
HREF="node54.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html933"
<A NAME="tex2html942"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html936"
<B> Next:</B> <A NAME="tex2html945"
HREF="node56.html">psb_normi Infinity-Norm</A>
<B> Up:</B> <A NAME="tex2html932"
<B> Up:</B> <A NAME="tex2html941"
HREF="node52.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html926"
<B> Previous:</B> <A NAME="tex2html935"
HREF="node54.html">psb_gedot Dot</A>
&nbsp; <B> <A NAME="tex2html934"
&nbsp; <B> <A NAME="tex2html943"
HREF="node1.html">Contents</A></B>
<BR>
<BR></DIV>
@@ -55,10 +55,10 @@ psb_gedots -- Generalized Dot Product</A>
<P>
This subroutine computes a series of dot products among the columns of
two dense matrices <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> and <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>:
<BR><P></P>
@@ -70,7 +70,7 @@ res(i) \leftarrow x(:,i)^T y(:,i)
-->
<IMG
WIDTH="150" HEIGHT="28" BORDER="0"
WIDTH="150" HEIGHT="29" BORDER="0"
SRC="img28.png"
ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}">
</DIV>
@@ -78,17 +78,17 @@ res(i) \leftarrow x(:,i)^T y(:,i)
<P></P>
If the matrices are complex, then the
usual convention applies, i.e. the conjugate transpose of <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> is
used. If <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> and <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN> are of rank one, then <SPAN CLASS="MATH"><IMG
WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img29.png"
ALT="$res$"></SPAN> is a scalar, else it
is a rank one array.
@@ -98,7 +98,7 @@ is a rank one array.
call psb_gedots(res, x, y, desc_a, info)
</PRE>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="2025"></A>
<DIV ALIGN="CENTER"><A NAME="2132"></A>
<TABLE>
<CAPTION><STRONG>Table 3:</STRONG>
Data types</CAPTION>
@@ -106,13 +106,13 @@ Data types</CAPTION>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img29.png"
ALT="$res$"></SPAN>, <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>, <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
@@ -147,7 +147,7 @@ Data types</CAPTION>
<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>.
<BR>
@@ -160,17 +160,17 @@ Intent: <B>in</B>.
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:f90mdot">3</A>. The rank of <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> must be the same of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
</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"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
<BR>
@@ -183,10 +183,10 @@ Intent: <B>in</B>.
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:f90mdot">3</A>. The rank of <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" 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"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN>.
</DD>
@@ -206,10 +206,10 @@ Specified as: an object of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>res</STRONG></DT>
<DD>is the dot product of vectors <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> and <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
SRC="img21.png"
ALT="$y$"></SPAN>.
<BR>
@@ -237,26 +237,26 @@ An integer value; 0 means no error has been detected.
<DIV CLASS="navigation"><HR>
<!--Navigation Panel-->
<A NAME="tex2html935"
<A NAME="tex2html944"
HREF="node56.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html931"
<A NAME="tex2html940"
HREF="node52.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html925"
<A NAME="tex2html934"
HREF="node54.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html933"
<A NAME="tex2html942"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html936"
<B> Next:</B> <A NAME="tex2html945"
HREF="node56.html">psb_normi Infinity-Norm</A>
<B> Up:</B> <A NAME="tex2html932"
<B> Up:</B> <A NAME="tex2html941"
HREF="node52.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html926"
<B> Previous:</B> <A NAME="tex2html935"
HREF="node54.html">psb_gedot Dot</A>
&nbsp; <B> <A NAME="tex2html934"
&nbsp; <B> <A NAME="tex2html943"
HREF="node1.html">Contents</A></B> </DIV>
<!--End of Navigation Panel-->