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* MB02ND EXAMPLE PROGRAM TEXT
* Copyright (c) 2002-2010 NICONET e.V.
*
* .. Parameters ..
DOUBLE PRECISION ZERO
PARAMETER ( ZERO = 0.0D0 )
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER MMAX, NMAX, LMAX
PARAMETER ( MMAX = 20, NMAX = 20, LMAX = 20 )
INTEGER LDC, LDX
PARAMETER ( LDC = MAX( MMAX, NMAX+LMAX ), LDX = NMAX )
INTEGER LENGQ
PARAMETER ( LENGQ = 2*MIN(MMAX,NMAX+LMAX)-1 )
INTEGER LIWORK
PARAMETER ( LIWORK = NMAX+2*LMAX )
INTEGER LDWORK
PARAMETER ( LDWORK = MAX(2, MAX( MMAX, NMAX+LMAX ) +
$ 2*MIN( MMAX, NMAX+LMAX ),
$ MIN( MMAX, NMAX+LMAX ) +
$ MAX( ( NMAX+LMAX )*( NMAX+LMAX-1 )/2,
$ MMAX*( NMAX+LMAX-( MMAX-1 )/2 ) ) +
$ MAX( 6*(NMAX+LMAX)-5, LMAX*LMAX +
$ MAX( NMAX+LMAX, 3*LMAX ) ) ) )
INTEGER LBWORK
PARAMETER ( LBWORK = NMAX+LMAX )
* .. Local Scalars ..
DOUBLE PRECISION RELTOL, THETA, THETA1, TOL
INTEGER I, INFO, IWARN, J, K, L, LOOP, M, MINMNL, N,
$ RANK, RANK1
* .. Local Arrays ..
DOUBLE PRECISION C(LDC,NMAX+LMAX), DWORK(LDWORK),
$ Q(LENGQ), X(LDX,LMAX)
INTEGER IWORK(LIWORK)
LOGICAL BWORK(LBWORK), INUL(NMAX+LMAX)
* .. External Subroutines ..
EXTERNAL MB02ND
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) M, N, L, RANK, THETA, TOL, RELTOL
IF ( M.LT.0 .OR. M.GT.MMAX ) THEN
WRITE ( NOUT, FMT = 99982 ) M
ELSE IF ( N.LT.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99983 ) N
ELSE IF ( L.LT.0 .OR. L.GT.LMAX ) THEN
WRITE ( NOUT, FMT = 99981 ) L
ELSE IF ( RANK.GT.MIN( MMAX, NMAX ) ) THEN
WRITE ( NOUT, FMT = 99980 ) RANK
ELSE IF ( RANK.LT.0 .AND. THETA.LT.ZERO ) THEN
WRITE ( NOUT, FMT = 99979 ) THETA
ELSE
READ ( NIN, FMT = * ) ( ( C(I,J), J = 1,N+L ), I = 1,M )
RANK1 = RANK
THETA1 = THETA
* Compute the solution to the TLS problem Ax = b.
CALL MB02ND( M, N, L, RANK, THETA, C, LDC, X, LDX, Q, INUL,
$ TOL, RELTOL, IWORK, DWORK, LDWORK, BWORK, IWARN,
$ INFO )
*
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99998 ) INFO
ELSE
IF ( IWARN.NE.0 ) THEN
WRITE ( NOUT, FMT = 99997 ) IWARN
WRITE ( NOUT, FMT = 99996 ) RANK
ELSE
IF ( RANK1.LT.0 ) WRITE ( NOUT, FMT = 99996 ) RANK
END IF
IF ( THETA1.LT.ZERO ) WRITE ( NOUT, FMT = 99995 ) THETA
WRITE ( NOUT, FMT = 99994 )
MINMNL = MIN( M, N+L )
LOOP = MINMNL - 1
DO 20 I = 1, LOOP
K = I + MINMNL
WRITE ( NOUT, FMT = 99993 ) I, I, Q(I), I, I + 1, Q(K)
20 CONTINUE
WRITE ( NOUT, FMT = 99992 ) MINMNL, MINMNL, Q(MINMNL)
WRITE ( NOUT, FMT = 99991 )
DO 60 J = 1, L
DO 40 I = 1, N
WRITE ( NOUT, FMT = 99990 ) X(I,J)
40 CONTINUE
IF ( J.LT.L ) WRITE ( NOUT, FMT = 99989 )
60 CONTINUE
WRITE ( NOUT, FMT = 99987 ) N + L, N + L
WRITE ( NOUT, FMT = 99985 )
DO 80 I = 1, MAX( M, N + L )
WRITE ( NOUT, FMT = 99984 ) ( C(I,J), J = 1,N+L )
80 CONTINUE
WRITE ( NOUT, FMT = 99986 )
DO 100 J = 1, N + L
WRITE ( NOUT, FMT = 99988 ) J, INUL(J)
100 CONTINUE
END IF
END IF
STOP
*
99999 FORMAT (' MB02ND EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from MB02ND = ',I2)
99997 FORMAT (' IWARN on exit from MB02ND = ',I2,/)
99996 FORMAT (' The computed rank of the TLS approximation = ',I3,/)
99995 FORMAT (' The computed value of THETA = ',F7.4,/)
99994 FORMAT (' The elements of the partially diagonalized bidiagonal ',
$ 'matrix are',/)
99993 FORMAT (2(' (',I1,',',I1,') = ',F7.4,2X))
99992 FORMAT (' (',I1,',',I1,') = ',F7.4,/)
99991 FORMAT (' The solution X to the TLS problem is ',/)
99990 FORMAT (1X,F8.4)
99989 FORMAT (' ')
99988 FORMAT (I3,L8)
99987 FORMAT (/' Right singular subspace corresponds to the first ',I2,
$ ' components of the j-th ',/' column of C for which INUL(',
$ 'j) = .TRUE., j = 1,...,',I2,/)
99986 FORMAT (/' j INUL(j)',/)
99985 FORMAT (' Matrix C',/)
99984 FORMAT (20(1X,F8.4))
99983 FORMAT (/' N is out of range.',/' N = ',I5)
99982 FORMAT (/' M is out of range.',/' M = ',I5)
99981 FORMAT (/' L is out of range.',/' L = ',I5)
99980 FORMAT (/' RANK is out of range.',/' RANK = ',I5)
99979 FORMAT (/' THETA must be at least zero.',/' THETA = ',F8.4)
END
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