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Added entrywise inversion and documentation for vec-vec operation

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cirdans-home
2019-11-21 13:56:22 +01:00
parent db7b882e9c
commit b3c4971146
340 changed files with 24932 additions and 20314 deletions
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@@ -14,6 +14,7 @@
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@@ -22,26 +23,26 @@
<BODY >
<DIV CLASS="navigation"><!--Navigation Panel-->
<A NAME="tex2html1053"
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@@ -86,34 +87,34 @@ y &amp;\leftarrow&amp; \alpha T^{-H} D x + \beta y\\
where:
<DL>
<DT><STRONG><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></STRONG></DT>
<DD>is the global dense matrix <SPAN CLASS="MATH"><IMG
WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="25" HEIGHT="29" 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"
WIDTH="12" HEIGHT="29" 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"
WIDTH="23" HEIGHT="29" 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"
WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img55.png"
ALT="$T$"></SPAN></STRONG></DT>
<DD>is the global sparse block triangular submatrix <SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img55.png"
ALT="$T$"></SPAN>
</DD>
<DT><STRONG><SPAN CLASS="MATH"><IMG
WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img56.png"
ALT="$D$"></SPAN></STRONG></DT>
<DD>is the scaling diagonal matrix.
@@ -129,7 +130,7 @@ call psb_spsm(alpha, t, x, beta, y, desc_a, info,&amp;
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="2035"></A>
<DIV ALIGN="CENTER"><A NAME="2142"></A>
<TABLE>
<CAPTION><STRONG>Table 13:</STRONG>
Data types</CAPTION>
@@ -137,22 +138,22 @@ Data types</CAPTION>
<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"
WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img55.png"
ALT="$T$"></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>, <SPAN CLASS="MATH"><IMG
WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img56.png"
ALT="$D$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></SPAN></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
@@ -186,7 +187,7 @@ Data types</CAPTION>
</DD>
<DT><STRONG>alpha</STRONG></DT>
<DD>the scalar <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png"
ALT="$\alpha$"></SPAN>.
<BR>
@@ -202,7 +203,7 @@ Table&nbsp;<A HREF="#tab:f90spsm">13</A>.
<DT><STRONG>t</STRONG></DT>
<DD>the global portion of the sparse matrix
<SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img55.png"
ALT="$T$"></SPAN>.
<BR>
@@ -218,7 +219,7 @@ Specified as: an object type specified in
<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>.
@@ -232,16 +233,16 @@ 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:f90spsm">13</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>beta</STRONG></DT>
<DD>the scalar <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img23.png"
ALT="$\beta$"></SPAN>.
<BR>
@@ -256,7 +257,7 @@ Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f9
<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>.
@@ -270,10 +271,10 @@ Intent: <B>inout</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:f90spsm">13</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>
@@ -308,7 +309,7 @@ Type: <B>optional</B>
Intent: <B>in</B>.
<BR>
Default: <SPAN CLASS="MATH"><IMG
WIDTH="79" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="78" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img53.png"
ALT="$trans = N$"></SPAN>
<BR>
@@ -334,7 +335,7 @@ Type: <B>optional</B>
Intent: <B>in</B>.
<BR>
Default: <SPAN CLASS="MATH"><IMG
WIDTH="76" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
WIDTH="76" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img57.png"
ALT="$unitd = U$"></SPAN>
<BR>
@@ -380,7 +381,7 @@ Default: <!-- MATH
$diag(1) = 1 (no scaling)$
-->
<SPAN CLASS="MATH"><IMG
WIDTH="164" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
WIDTH="164" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img58.png"
ALT="$diag(1) = 1 (no scaling)$"></SPAN>
<BR>
@@ -397,7 +398,7 @@ Type: <B>optional</B>
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"
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></SPAN> with the
TARGET attribute.
@@ -410,7 +411,7 @@ TARGET attribute.
<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>.
@@ -442,26 +443,26 @@ An integer value; 0 means no error has been detected.
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