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<HTML>
<HEAD><TITLE>MA02BD - SLICOT Library Routine Documentation</TITLE>
</HEAD>
<BODY>

<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 &gt;= 0.

  N       (input) INTEGER
          The number of columns of the matrix A.  N &gt;= 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 &gt;= 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>

<HR>
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