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<H2><A Name="MA02BD">MA02BD</A></H2>
<H3>
Reversing the order of rows and/or columns of a matrix
</H3>
<A HREF ="#Specification"><B>[Specification]</B></A>
<A HREF ="#Arguments"><B>[Arguments]</B></A>
<A HREF ="#Method"><B>[Method]</B></A>
<A HREF ="#References"><B>[References]</B></A>
<A HREF ="#Comments"><B>[Comments]</B></A>
<A HREF ="#Example"><B>[Example]</B></A>
<P>
<B><FONT SIZE="+1">Purpose</FONT></B>
<PRE>
To reverse the order of rows and/or columns of a given matrix A
by pre-multiplying and/or post-multiplying it, respectively, with
a permutation matrix P, where P is a square matrix of appropriate
order, with ones down the secondary diagonal.
</PRE>
<A name="Specification"><B><FONT SIZE="+1">Specification</FONT></B></A>
<PRE>
SUBROUTINE MA02BD( SIDE, M, N, A, LDA )
C .. Scalar Arguments ..
CHARACTER SIDE
INTEGER LDA, M, N
C .. Array Arguments ..
DOUBLE PRECISION A(LDA,*)
</PRE>
<A name="Arguments"><B><FONT SIZE="+1">Arguments</FONT></B></A>
<P>
<B>Mode Parameters</B>
<PRE>
SIDE CHARACTER*1
Specifies the operation to be performed, as follows:
= 'L': the order of rows of A is to be reversed by
pre-multiplying A with P;
= 'R': the order of columns of A is to be reversed by
post-multiplying A with P;
= 'B': both the order of rows and the order of columns
of A is to be reversed by pre-multiplying and
post-multiplying A with P.
</PRE>
<B>Input/Output Parameters</B>
<PRE>
M (input) INTEGER
The number of rows of the matrix A. M >= 0.
N (input) INTEGER
The number of columns of the matrix A. N >= 0.
A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
On entry, the leading M-by-N part of this array must
contain the given matrix whose rows and/or columns are to
be permuted.
On exit, the leading M-by-N part of this array contains
the matrix P*A if SIDE = 'L', or A*P if SIDE = 'R', or
P*A*P if SIDE = 'B'.
LDA INTEGER
The leading dimension of the array A. LDA >= max(1,M).
</PRE>
<A name="Comments"><B><FONT SIZE="+1">Further Comments</FONT></B></A>
<PRE>
None
</PRE>
<A name="Example"><B><FONT SIZE="+1">Example</FONT></B></A>
<P>
<B>Program Text</B>
<PRE>
None
</PRE>
<B>Program Data</B>
<PRE>
None
</PRE>
<B>Program Results</B>
<PRE>
None
</PRE>
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