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* MB04ZD EXAMPLE PROGRAM TEXT.
* Copyright (c) 2002-2010 NICONET e.V.
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER NMAX
PARAMETER ( NMAX = 20 )
INTEGER LDA, LDQG, LDU
PARAMETER ( LDA = NMAX, LDQG = NMAX, LDU = NMAX )
INTEGER LDWORK
PARAMETER ( LDWORK = ( NMAX+NMAX )*( NMAX+NMAX+1 ) )
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
* .. Local Scalars ..
INTEGER I, INFO, IJ, J, JI, N, POS, WPOS
CHARACTER*1 COMPU
* .. Local Arrays ..
DOUBLE PRECISION A(LDA,NMAX), DWORK(LDWORK), QG(LDQG,NMAX+1),
$ U(LDU,NMAX)
* .. External Subroutines ..
EXTERNAL DCOPY, DGEMM, DSYMV, MB04ZD
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) N, COMPU
IF ( N.LT.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99998 ) N
ELSE
READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N )
READ ( NIN, FMT = * ) ( ( QG(J,I+1), I = J,N ), J = 1,N )
READ ( NIN, FMT = * ) ( ( QG(I,J), I = J,N ), J = 1,N )
* Square-reduce by symplectic orthogonal similarity.
CALL MB04ZD( COMPU, N, A, LDA, QG, LDQG, U, LDU, DWORK, INFO )
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99997 ) INFO
ELSE
* Show the square-reduced Hamiltonian.
WRITE ( NOUT, FMT = 99996 )
DO 10 I = 1, N
WRITE ( NOUT, FMT = 99994 ) ( A(I,J), J = 1,N ),
$ ( QG(J,I+1), J = 1,I-1 ), ( QG(I,J+1), J = I,N )
10 CONTINUE
DO 20 I = 1, N
WRITE ( NOUT, FMT = 99994 ) ( QG(I,J), J = 1,I-1 ),
$ ( QG(J,I), J = I,N ), ( -A(J,I), J = 1,N )
20 CONTINUE
* Show the square of H.
WRITE ( NOUT, FMT = 99995 )
WPOS = ( NMAX+NMAX )*( NMAX+NMAX )
* T
* Compute N11 = A*A + G*Q and set N22 = N11 .
CALL DGEMM( 'N', 'N', N, N, N, ONE, A, LDA, A, LDA, ZERO,
$ DWORK, N+N )
DO 30 I = 1, N
CALL DCOPY( N-I+1, QG(I,I), 1, DWORK(WPOS+I), 1 )
CALL DCOPY( I-1, QG(I,1), LDQG, DWORK(WPOS+1), 1 )
CALL DSYMV( 'U', N, ONE, QG(1,2), LDQG, DWORK(WPOS+1), 1,
$ ONE, DWORK((I-1)*(N+N)+1), 1 )
POS = N*( N+N ) + N + I
CALL DCOPY( N, DWORK((I-1)*(N+N)+1), 1, DWORK(POS), N+N )
30 CONTINUE
DO 40 I = 1, N
CALL DSYMV( 'U', N, -ONE, QG(1,2), LDQG, A(I,1), LDA,
$ ZERO, DWORK((N+I-1)*(N+N)+1), 1 )
CALL DSYMV( 'L', N, ONE, QG, LDQG, A(1,I), 1, ZERO,
$ DWORK((I-1)*(N+N)+N+1), 1 )
40 CONTINUE
DO 60 J = 1, N
DO 50 I = J, N
IJ = ( N+J-1 )*( N+N ) + I
JI = ( N+I-1 )*( N+N ) + J
DWORK(IJ) = DWORK(IJ) - DWORK(JI)
DWORK(JI) = -DWORK(IJ)
IJ = N + I + ( J-1 )*( N+N )
JI = N + J + ( I-1 )*( N+N )
DWORK(IJ) = DWORK(IJ) - DWORK(JI)
DWORK(JI) = -DWORK(IJ)
50 CONTINUE
60 CONTINUE
DO 70 I = 1, N+N
WRITE ( NOUT, FMT = 99994 )
$ ( DWORK(I+(J-1)*(N+N) ), J = 1,N+N )
70 CONTINUE
ENDIF
END IF
STOP
*
99999 FORMAT (' MB04ZD EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (/' N is out of range.',/' N = ',I5)
99997 FORMAT (' INFO on exit from MB04ZD = ',I2)
99996 FORMAT (/' The square-reduced Hamiltonian is ')
99995 FORMAT (/' The square of the square-reduced Hamiltonian is ')
99994 FORMAT (1X,8(F10.4))
END
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