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C
C SPDX-License-Identifier: BSD-3-Clause
C
* MB03KD EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER KMAX, NMAX
PARAMETER ( KMAX = 6, NMAX = 50 )
INTEGER LDA1, LDA2, LDQ1, LDQ2, LDWORK, LIWORK
PARAMETER ( LDA1 = NMAX, LDA2 = NMAX, LDQ1 = NMAX,
$ LDQ2 = NMAX,
$ LDWORK = MAX( 42*KMAX + NMAX, 80*KMAX - 48,
$ KMAX + MAX( 2*NMAX, 8*KMAX ) ),
$ LIWORK = MAX( 4*KMAX, 2*KMAX + NMAX ) )
DOUBLE PRECISION HUND, ZERO
PARAMETER ( HUND = 1.0D2, ZERO = 0.0D0 )
*
* .. Local Scalars ..
CHARACTER COMPQ, DEFL, JOB, STRONG
INTEGER H, I, IHI, ILO, INFO, IWARN, J, K, L, M, N, P
DOUBLE PRECISION TOL
*
* .. Local Arrays ..
LOGICAL SELECT( NMAX )
INTEGER IWORK( LIWORK ), IXQ( KMAX ), IXT( KMAX ),
$ LDQ( KMAX ), LDT( KMAX ), ND( KMAX ),
$ NI( KMAX ), QIND( KMAX ), S( KMAX ),
$ SCAL( NMAX )
DOUBLE PRECISION A( LDA1, LDA2, KMAX ), ALPHAI( NMAX ),
$ ALPHAR( NMAX ), BETA( NMAX ), DWORK( LDWORK),
$ Q( LDQ1, LDQ2, KMAX ), QK( NMAX*NMAX*KMAX ),
$ T( NMAX*NMAX*KMAX )
*
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
*
* .. External Subroutines ..
EXTERNAL DLACPY, MB03BD, MB03KD
*
* .. Intrinsic Functions ..
INTRINSIC INT, MAX
*
* .. Executable Statements ..
*
WRITE( NOUT, FMT = 99999 )
* Skip the heading in the data file and read in the data.
READ( NIN, FMT = * )
READ( NIN, FMT = * ) JOB, DEFL, COMPQ, STRONG, K, N, H, ILO, IHI
IF( N.LT.0 .OR. N.GT.NMAX ) THEN
WRITE( NOUT, FMT = 99998 ) N
ELSE
TOL = HUND
READ( NIN, FMT = * ) ( S( I ), I = 1, K )
READ( NIN, FMT = * ) ( ( ( A( I, J, L ), J = 1, N ),
$ I = 1, N ), L = 1, K )
IF( LSAME( COMPQ, 'U' ) )
$ READ( NIN, FMT = * ) ( ( ( Q( I, J, L ), J = 1, N ),
$ I = 1, N ), L = 1, K )
IF( LSAME( COMPQ, 'P' ) ) THEN
READ( NIN, FMT = * ) ( QIND( I ), I = 1, K )
DO 10 L = 1, K
IF( QIND( L ).GT.0 )
$ READ( NIN, FMT = * ) ( ( Q( I, J, QIND( L ) ),
$ J = 1, N ), I = 1, N )
10 CONTINUE
END IF
IF( LSAME( JOB, 'E' ) )
$ JOB = 'S'
* Compute the eigenvalues and the transformed matrices.
CALL MB03BD( JOB, DEFL, COMPQ, QIND, K, N, H, ILO, IHI, S, A,
$ LDA1, LDA2, Q, LDQ1, LDQ2, ALPHAR, ALPHAI, BETA,
$ SCAL, IWORK, LIWORK, DWORK, LDWORK, IWARN, INFO )
*
IF( INFO.NE.0 ) THEN
WRITE( NOUT, FMT = 99997 ) INFO
ELSE IF( IWARN.EQ.0 ) THEN
* Prepare the data for calling MB03KD, which uses different
* data structures and reverse ordering of the factors.
DO 20 L = 1, K
ND( L ) = MAX( 1, N )
NI( L ) = 0
LDT( L ) = MAX( 1, N )
IXT( L ) = ( L - 1 )*LDT( L )*N + 1
LDQ( L ) = MAX( 1, N )
IXQ( L ) = IXT( L )
IF( L.LE.INT( K/2 ) ) THEN
I = S( K - L + 1 )
S( K - L + 1 ) = S( L )
S( L ) = I
END IF
20 CONTINUE
DO 30 L = 1, K
CALL DLACPY( 'Full', N, N, A( 1, 1, K-L+1 ), LDA1,
$ T( IXT( L ) ), LDT( L ) )
30 CONTINUE
IF( LSAME( COMPQ, 'U' ) .OR. LSAME( COMPQ, 'I' ) ) THEN
COMPQ = 'U'
DO 40 L = 1, K
CALL DLACPY( 'Full', N, N, Q( 1, 1, K-L+1 ), LDQ1,
$ QK( IXQ( L ) ), LDQ( L ) )
40 CONTINUE
ELSE IF( LSAME( COMPQ, 'P' ) ) THEN
COMPQ = 'W'
DO 50 L = 1, K
IF( QIND( L ).LT.0 )
$ QIND( L ) = 2
P = QIND( L )
IF( P.NE.0 )
$ CALL DLACPY( 'Full', N, N, Q( 1, 1, K-P+1 ), LDQ1,
$ QK( IXQ( P ) ), LDQ( P ) )
50 CONTINUE
END IF
* Select eigenvalues with negative real part.
DO 60 I = 1, N
SELECT( I ) = ALPHAR( I ).LT.ZERO
60 CONTINUE
WRITE( NOUT, FMT = 99996 )
WRITE( NOUT, FMT = 99995 ) ( ALPHAR( I ), I = 1, N )
WRITE( NOUT, FMT = 99994 )
WRITE( NOUT, FMT = 99995 ) ( ALPHAI( I ), I = 1, N )
WRITE( NOUT, FMT = 99993 )
WRITE( NOUT, FMT = 99995 ) ( BETA( I ), I = 1, N )
WRITE( NOUT, FMT = 99992 )
WRITE( NOUT, FMT = 99991 ) ( SCAL( I ), I = 1, N )
* Compute the transformed matrices, after reordering the
* eigenvalues.
CALL MB03KD( COMPQ, QIND, STRONG, K, N, H, ND, NI, S,
$ SELECT, T, LDT, IXT, QK, LDQ, IXQ, M, TOL,
$ IWORK, DWORK, LDWORK, INFO )
IF( INFO.NE.0 ) THEN
WRITE( NOUT, FMT = 99990 ) INFO
ELSE
WRITE( NOUT, FMT = 99989 )
DO 80 L = 1, K
P = K - L + 1
WRITE( NOUT, FMT = 99988 ) L
DO 70 I = 1, N
WRITE( NOUT, FMT = 99995 )
$ ( T( IXT( P ) + I - 1 + ( J - 1 )*LDT( P ) ),
$ J = 1, N )
70 CONTINUE
80 CONTINUE
IF( LSAME( COMPQ, 'U' ) .OR. LSAME( COMPQ, 'I' ) ) THEN
WRITE( NOUT, FMT = 99987 )
DO 100 L = 1, K
P = K - L + 1
WRITE( NOUT, FMT = 99988 ) L
DO 90 I = 1, N
WRITE( NOUT, FMT = 99995 )
$ ( QK( IXQ( P ) + I - 1 +
$ ( J - 1 )*LDQ( P ) ), J = 1, N )
90 CONTINUE
100 CONTINUE
ELSE IF( LSAME( COMPQ, 'W' ) ) THEN
WRITE( NOUT, FMT = 99987 )
DO 120 L = 1, K
IF( QIND( L ).GT.0 ) THEN
P = K - QIND( L ) + 1
WRITE( NOUT, FMT = 99988 ) QIND( L )
DO 110 I = 1, N
WRITE( NOUT, FMT = 99995 )
$ ( QK( IXQ( P ) + I - 1 +
$ ( J - 1 )*LDQ( P ) ), J = 1, N )
110 CONTINUE
END IF
120 CONTINUE
END IF
END IF
ELSE
WRITE( NOUT, FMT = 99979 ) IWARN
END IF
END IF
STOP
*
99999 FORMAT( 'MB03KD EXAMPLE PROGRAM RESULTS', 1X )
99998 FORMAT( 'N is out of range.', /, 'N = ', I5 )
99997 FORMAT( 'INFO on exit from MB03BD = ', I2 )
99996 FORMAT( 'The vector ALPHAR is ' )
99995 FORMAT( 50( 1X, F8.4 ) )
99994 FORMAT( 'The vector ALPHAI is ' )
99993 FORMAT( 'The vector BETA is ' )
99992 FORMAT( 'The vector SCAL is ' )
99991 FORMAT( 50( 1X, I5 ) )
99990 FORMAT( 'INFO on exit from MB03KD = ', I2 )
99989 FORMAT( 'The matrix A on exit is ' )
99988 FORMAT( 'The factor ', I2, ' is ' )
99987 FORMAT( 'The matrix Q on exit is ' )
99986 FORMAT( 'LDT', 3I5 )
99985 FORMAT( 'IXT', 3I5 )
99984 FORMAT( 'LDQ', 3I5 )
99983 FORMAT( 'IXQ', 3I5 )
99982 FORMAT( 'ND' , 3I5 )
99981 FORMAT( 'NI' , 3I5)
99980 FORMAT( 'SELECT', 3L5 )
99979 FORMAT( 'IWARN on exit from MB03BD = ', I2 )
END
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