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Added entrywise inversion and documentation for vec-vec operation

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<TITLE>psb_init -- Initializes PSBLAS parallel environment</TITLE>
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<H2><A NAME="SECTION00081000000000000000">
psb_init -- Initializes PSBLAS parallel
environment</A>
<H2><A NAME="SECTION000726000000000000000">
psb_sizeof -- Memory occupation</A>
</H2>
<P>
This function computes the memory occupation of a PSBLAS object.
<P>
<PRE>
call psb_init(icontxt, np, basectxt, ids)
isz = psb_sizeof(a)
isz = psb_sizeof(desc_a)
isz = psb_sizeof(prec)
</PRE>
<P>
This subroutine initializes the PSBLAS parallel environment, defining
a virtual parallel machine.
<DL>
<DT><STRONG>Type:</STRONG></DT>
<DD>Synchronous.
<DD>Asynchronous.
</DD>
<DT><STRONG><B>On Entry </B></STRONG></DT>
<DT><STRONG><B>On Entry</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>np</STRONG></DT>
<DD>Number of processes in the PSBLAS virtual parallel machine.
<DT><STRONG>a</STRONG></DT>
<DD>A sparse matrix
<SPAN CLASS="MATH"><IMG
WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$"></SPAN>.
<BR>
Scope: <B>global</B>.
Scope: <B>local</B>
<BR>
Type: <B>optional</B>.
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer value. Default: use all available processes.
Specified as: a structured data of type spdata<TT>psb_Tspmat_type</TT>.
</DD>
<DT><STRONG>basectxt</STRONG></DT>
<DD>the initial communication context. The new context
will be defined from the processes participating in the initial one.
<DT><STRONG>desc_a</STRONG></DT>
<DD>Communication descriptor.
<BR>
Scope: <B>global</B>.
Scope: <B>local</B>
<BR>
Type: <B>optional</B>.
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer value. Default: use MPI_COMM_WORLD.
Specified as: a structured data of type descdata<TT>psb_desc_type</TT>.
</DD>
<DT><STRONG>ids</STRONG></DT>
<DD>Identities of the processes to use for the new context; the
argument is ignored when <code>np</code> is not specified. This allows the
processes in the new environment to be in an order different from the
original one.
<DT><STRONG>prec</STRONG></DT>
<DD>Scope: <B>local</B>
<BR>
Scope: <B>global</B>.
<BR>
Type: <B>optional</B>.
Type: <B>required</B>
<BR>
Intent: <B>in</B>.
<BR>
Specified as: an integer array. Default: use the indices <SPAN CLASS="MATH"><IMG
WIDTH="93" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
SRC="img96.png"
ALT="$(0\dots np-1)$"></SPAN>.
Specified as: a preconditioner data structure precdata<TT>psb_prec_type</TT>.
</DD>
</DL>
<P>
<DL>
<DT><STRONG><B>On Return</B></STRONG></DT>
<DD>
</DD>
<DT><STRONG>icontxt</STRONG></DT>
<DD>the communication context identifying the virtual
parallel machine. Note that this is always a duplicate of
<code>basectxt</code>, so that library communications are completely
separated from other communication operations.
<DT><STRONG>Function value</STRONG></DT>
<DD>The memory occupation of the object specified in
the calling sequence, in bytes.
<BR>
Scope: <B>global</B>.
Scope: <B>local</B>
<BR>
Type: <B>required</B>.
<BR>
Intent: <B>out</B>.
<BR>
Specified as: an integer variable.
Returned as: an <code>integer(psb_long_int_k_)</code> number.
</DD>
</DL>
<P>
<BIG CLASS="LARGE"><B>Notes</B></BIG>
<OL>
<LI>A call to this routine must precede any other PSBLAS call.
</LI>
<LI>It is an error to specify a value for <SPAN CLASS="MATH"><IMG
WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img134.png"
ALT="$np$"></SPAN> greater than the
number of processes available in the underlying base parallel
environment.
</LI>
</OL>
<P>
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