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This commit is contained in:
Salvatore Filippone
+32
-32
@@ -69,7 +69,7 @@ x \leftarrow Q x
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<IMG
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WIDTH="55" HEIGHT="27" BORDER="0"
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SRC="img63.png"
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SRC="img64.png"
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ALT="\begin{displaymath}x \leftarrow Q x \end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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@@ -77,40 +77,40 @@ x \leftarrow Q x
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where:
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<DL>
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<DT><STRONG><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"></STRONG></DT>
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<DD>is the global dense submatrix <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">
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</DD>
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<DT><STRONG><IMG
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WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img64.png"
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WIDTH="16" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img65.png"
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ALT="$Q$"></STRONG></DT>
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<DD>is the overlap operator; it is the composition of two
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operators <IMG
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WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img65.png"
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ALT="$ P_a$"> and <IMG
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WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img66.png"
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ALT="$ P_a$"> and <IMG
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WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img67.png"
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ALT="$ P^{T}$">.
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</DD>
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</DL>
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<P>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="2863"></A>
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<DIV ALIGN="CENTER"><A NAME="2966"></A>
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<TABLE>
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<CAPTION><STRONG>Table 14:</STRONG>
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<CAPTION><STRONG>Table 15:</STRONG>
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Data types</CAPTION>
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<TR><TD>
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<DIV ALIGN="CENTER">
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<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
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<TR><TD ALIGN="LEFT"><IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"></TD>
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<TD ALIGN="LEFT"><B>Subroutine</B></TD>
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@@ -150,7 +150,7 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>global dense matrix <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">.
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<BR>
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@@ -160,9 +160,9 @@ Type: <B>required</B>
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<BR>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a rank one or two array
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Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
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containing numbers of type specified in
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Table <A HREF="#tab:f90ovrl">14</A>.
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Table <A HREF="#tab:f90ovrl">15</A>.
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</DD>
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<DT><STRONG>desc_a</STRONG></DT>
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<DD>contains data structures for communications.
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@@ -183,14 +183,14 @@ Specified as: a structured data of type descdata<TT>psb_desc_type</TT>.
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</DD>
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<DT><STRONG>update = psb_add_</STRONG></DT>
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<DD>Sum overlap entries, i.e. apply <IMG
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WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img67.png"
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WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img68.png"
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ALT="$P^T$">;
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</DD>
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<DT><STRONG>update = psb_avg_</STRONG></DT>
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<DD>Average overlap entries, i.e. apply <IMG
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WIDTH="45" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
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SRC="img68.png"
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WIDTH="44" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
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SRC="img69.png"
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ALT="$P_aP^T$">;
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</DD>
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</DL>
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@@ -203,7 +203,7 @@ Default: <!-- MATH
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-->
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<IMG
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WIDTH="166" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img69.png"
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SRC="img70.png"
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ALT="$update\_type = psb\_avg\_ $">
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<BR>
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Scope: <B>global</B>
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@@ -220,7 +220,7 @@ Type: <B>optional</B>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a one dimensional array of the same type of <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">.
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@@ -231,7 +231,7 @@ Specified as: a one dimensional array of the same type of <IMG
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>global dense result matrix <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">.
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<BR>
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@@ -243,7 +243,7 @@ Intent: <B>inout</B>.
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<BR>
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Specified as: an array of rank one or two
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containing numbers of type specified in
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Table <A HREF="#tab:f90ovrl">14</A>.
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Table <A HREF="#tab:f90ovrl">15</A>.
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</DD>
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<DT><STRONG>info</STRONG></DT>
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<DD>Error code.
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@@ -266,19 +266,19 @@ An integer value; 0 means no error has been detected.
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the descriptor, no operations are performed;
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</LI>
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<LI>The operator <IMG
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WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img66.png"
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ALT="$ P^{T}$"> performs the reduction sum of overlap
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elements; it is a ``prolongation'' operator <IMG
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WIDTH="26" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img67.png"
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ALT="$ P^{T}$"> performs the reduction sum of overlap
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elements; it is a ``prolongation'' operator <IMG
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WIDTH="27" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
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SRC="img68.png"
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ALT="$P^T$"> that
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replicates overlap elements, accounting for the physical replication
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of data;
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</LI>
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<LI>The operator <IMG
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WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img65.png"
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SRC="img66.png"
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ALT="$ P_a$"> performs a scaling on the overlap elements by
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the amount of replication; thus, when combined with the reduction
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operator, it implements the average of replicated elements over all of
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@@ -288,15 +288,15 @@ their instances.
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig:try8x8_ov"></A><A NAME="2865"></A>
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<DIV ALIGN="CENTER"><A NAME="fig:try8x8_ov"></A><A NAME="2968"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 8:</STRONG>
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Sample discretization mesh.</CAPTION>
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<TR><TD>
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<DIV ALIGN="CENTER">
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<IMG
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WIDTH="533" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
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SRC="img71.png"
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WIDTH="533" HEIGHT="454" ALIGN="BOTTOM" BORDER="0"
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SRC="img72.png"
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ALT="\includegraphics[scale=0.65]{figures/try8x8_ov.eps}">
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<!-- MATH
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@@ -304,7 +304,7 @@ Sample discretization mesh.</CAPTION>
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-->
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<IMG
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WIDTH="76" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
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SRC="img70.png"
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SRC="img71.png"
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ALT="\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}">
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</DIV></TD></TR>
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@@ -320,7 +320,7 @@ distribution is such that each process will own 40 entries in the
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index space, with an overlap of 16 entries placed at local indices 25
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through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries
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in the <IMG
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"> vector, and process 1 assigns a value of 2, then after a
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call to <code>psb_ovrl</code> with <code>psb_avg_</code> and a call to
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