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psblas3:
Fixes to user's guide.
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+29
-35
@@ -64,15 +64,15 @@ This subroutine computes the Sparse Matrix by Dense Matrix Product:
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha P_r A P_c x + \beta y
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y \leftarrow \alpha A x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG
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WIDTH="136" HEIGHT="27" BORDER="0"
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WIDTH="101" HEIGHT="27" BORDER="0"
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SRC="img48.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha P_r A P_c x + \beta y
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y \leftarrow \alpha A x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(1)</TD></TR>
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@@ -83,15 +83,15 @@ y \leftarrow \alpha P_r A P_c x + \beta y
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha P_r A^T P_c x + \beta y
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y \leftarrow \alpha A^T x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
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WIDTH="145" HEIGHT="27" BORDER="0"
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WIDTH="112" HEIGHT="27" BORDER="0"
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SRC="img49.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha P_r A^T P_c x + \beta y
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y \leftarrow \alpha A^T x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(2)</TD></TR>
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@@ -102,15 +102,15 @@ y \leftarrow \alpha P_r A^T P_c x + \beta y
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha P_r A^H P_c x + \beta y
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y \leftarrow \alpha A^H x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG
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WIDTH="148" HEIGHT="27" BORDER="0"
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WIDTH="114" HEIGHT="27" BORDER="0"
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SRC="img50.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha P_r A^H P_c x + \beta y
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y \leftarrow \alpha A^H x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(3)</TD></TR>
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@@ -121,10 +121,10 @@ y \leftarrow \alpha P_r A^H P_c x + \beta y
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where:
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<DL>
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<DT><STRONG><IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" 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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<DD>is the global dense matrix <IMG
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WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img51.png"
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ALT="$x_{:, :}$">
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@@ -133,7 +133,7 @@ where:
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WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img26.png"
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ALT="$y$"></STRONG></DT>
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<DD>is the global dense submatrix <IMG
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<DD>is the global dense matrix <IMG
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WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img52.png"
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ALT="$y_{:, :}$">
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@@ -142,22 +142,16 @@ where:
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$"></STRONG></DT>
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<DD>is the global sparse submatrix <IMG
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<DD>is the global sparse matrix <IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">
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</DD>
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<DT><STRONG><IMG
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WIDTH="45" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img53.png"
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ALT="$P_r, P_c$"></STRONG></DT>
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<DD>are the permutation matrices.
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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="1526"></A>
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<DIV ALIGN="CENTER"><A NAME="1543"></A>
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<TABLE>
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<CAPTION><STRONG>Table 11:</STRONG>
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Data types</CAPTION>
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@@ -168,13 +162,13 @@ Data types</CAPTION>
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">, <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">, <IMG
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WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img26.png"
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ALT="$y$">, <IMG
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WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$\alpha$">, <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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@@ -218,7 +212,7 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
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</DD>
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<DT><STRONG>alpha</STRONG></DT>
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<DD>the scalar <IMG
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WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img27.png"
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ALT="$\alpha$">.
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<BR>
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@@ -244,12 +238,12 @@ Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a structured data of type spdata<TT>psb_spmat_type</TT>.
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Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>the local portion of global dense matrix
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<IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$">.
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@@ -260,10 +254,10 @@ Type: <B>required</B>
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<BR>
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Intent: <B>in</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:f90spmm">11</A>. The rank of <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"> must be the same of <IMG
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WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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@@ -298,13 +292,13 @@ 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:f90spmm">11</A>. The rank of <IMG
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WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img26.png"
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ALT="$y$"> must be the same of <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" 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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@@ -317,10 +311,10 @@ Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a structured data of type descdata<TT>psb_desc_type</TT>.
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Specified as: an object of type descdata<TT>psb_desc_type</TT>.
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</DD>
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<DT><STRONG>trans</STRONG></DT>
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<DD>indicate what kind of operation to perform.
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<DD>indicates what kind of operation to perform.
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<DL>
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<DT><STRONG>trans = N</STRONG></DT>
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<DD>the operation is specified by equation <A HREF="#eq:f90spmm_no_tra">1</A>
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@@ -341,8 +335,8 @@ Type: <B>optional</B>
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Intent: <B>in</B>.
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<BR>
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Default: <IMG
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WIDTH="78" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
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SRC="img54.png"
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WIDTH="78" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img53.png"
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ALT="$trans = N$">
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<BR>
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Specified as: a character variable.
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@@ -359,7 +353,7 @@ Type: <B>optional</B>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a rank one array of the same type of <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img25.png"
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ALT="$x$"> and <IMG
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WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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@@ -373,7 +367,7 @@ the TARGET attribute.
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<DD>
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</DD>
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<DT><STRONG>y</STRONG></DT>
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<DD>the local portion of result submatrix <IMG
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<DD>the local portion of result matrix <IMG
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WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img26.png"
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ALT="$y$">.
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