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C
C SPDX-License-Identifier: BSD-3-Clause
C
* MB03FZ EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER NMAX
PARAMETER ( NMAX = 50 )
INTEGER LDB, LDC, LDD, LDFG, LDQ, LDU, LDWORK, LDZ,
$ LIWORK, LZWORK
PARAMETER ( LDB = NMAX, LDC = NMAX, LDD = NMAX,
$ LDFG = NMAX, LDQ = 2*NMAX, LDU = NMAX,
$ LDWORK = 18*NMAX*NMAX + NMAX + 3 +
$ MAX( 2*NMAX, 24 ), LDZ = NMAX,
$ LIWORK = 2*NMAX + 9, LZWORK = 8*NMAX + 28 )
*
* .. Local Scalars ..
CHARACTER COMPQ, COMPU, ORTH
INTEGER I, INFO, J, M, N, NEIG
*
* .. Local Arrays ..
COMPLEX*16 B( LDB, NMAX ), C( LDC, NMAX ), D( LDD, NMAX ),
$ FG( LDFG, NMAX ), Q( LDQ, 2*NMAX ),
$ U( LDU, 2*NMAX ), Z( LDZ, NMAX ),
$ ZWORK( LZWORK )
DOUBLE PRECISION ALPHAI( NMAX ), ALPHAR( NMAX ), BETA( NMAX ),
$ DWORK( LDWORK )
INTEGER IWORK( LIWORK )
LOGICAL BWORK( NMAX )
*
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
*
* .. External Subroutines ..
EXTERNAL MB03FZ
*
* .. Intrinsic Functions ..
INTRINSIC MAX, MOD
*
* .. Executable Statements ..
*
WRITE( NOUT, FMT = 99999 )
* Skip the heading in the data file and read in the data.
READ( NIN, FMT = * )
READ( NIN, FMT = * ) COMPQ, COMPU, ORTH, N
IF( N.LT.0 .OR. N.GT.NMAX .OR. MOD( N, 2 ).NE.0 ) THEN
WRITE( NOUT, FMT = 99998 ) N
ELSE
M = N/2
READ( NIN, FMT = * ) ( ( Z( I, J ), J = 1, N ), I = 1, N )
READ( NIN, FMT = * ) ( ( B( I, J ), J = 1, M ), I = 1, M )
READ( NIN, FMT = * ) ( ( FG( I, J ), J = 1, M+1 ), I = 1, M )
* Compute the eigenvalues and orthogonal bases of the right
* deflating subspace and companion subspace of a complex
* skew-Hamiltonian/Hamiltonian pencil, corresponding to the
* eigenvalues with strictly negative real part.
CALL MB03FZ( COMPQ, COMPU, ORTH, N, Z, LDZ, B, LDB, FG, LDFG,
$ NEIG, D, LDD, C, LDC, Q, LDQ, U, LDU, ALPHAR,
$ ALPHAI, BETA, IWORK, LIWORK, DWORK, LDWORK, ZWORK,
$ LZWORK, BWORK, INFO )
*
IF( INFO.NE.0 ) THEN
WRITE( NOUT, FMT = 99997 ) INFO
ELSE
WRITE( NOUT, FMT = 99996 )
DO 10 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( Z( I, J ), J = 1, N )
10 CONTINUE
IF( LSAME( COMPQ, 'C' ) .OR. LSAME( COMPU, 'C' ) ) THEN
WRITE( NOUT, FMT = 99994 )
DO 20 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( D( I, J ), J = 1, N )
20 CONTINUE
WRITE( NOUT, FMT = 99993 )
DO 30 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( C( I, J ), J = 1, N )
30 CONTINUE
WRITE( NOUT, FMT = 99992 )
DO 40 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( B( I, J ), J = 1, N )
40 CONTINUE
WRITE( NOUT, FMT = 99991 )
DO 50 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( FG( I, J ), J = 1, N )
50 CONTINUE
END IF
WRITE( NOUT, FMT = 99990 )
WRITE( NOUT, FMT = 99989 ) ( ALPHAR( I ), I = 1, N )
WRITE( NOUT, FMT = 99988 )
WRITE( NOUT, FMT = 99989 ) ( ALPHAI( I ), I = 1, N )
WRITE( NOUT, FMT = 99987 )
WRITE( NOUT, FMT = 99989 ) ( BETA( I ), I = 1, N )
IF( LSAME( COMPQ, 'C' ) .AND. NEIG.GT.0 ) THEN
WRITE( NOUT, FMT = 99986 )
DO 60 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( Q( I, J ), J = 1, NEIG )
60 CONTINUE
END IF
IF( LSAME( COMPU, 'C' ) .AND. NEIG.GT.0 ) THEN
WRITE( NOUT, FMT = 99985 )
DO 70 I = 1, N
WRITE( NOUT, FMT = 99995 ) ( U( I, J ), J = 1, NEIG )
70 CONTINUE
END IF
IF( LSAME( COMPQ, 'C' ) .OR. LSAME( COMPU, 'C' ) )
$ WRITE( NOUT, FMT = 99984 ) NEIG
END IF
END IF
STOP
*
99999 FORMAT ( 'MB03FZ EXAMPLE PROGRAM RESULTS', 1X )
99998 FORMAT ( 'N is out of range.', /, 'N = ', I5 )
99997 FORMAT ( 'INFO on exit from MB03FZ = ', I2 )
99996 FORMAT (/'The matrix Z on exit is ' )
99995 FORMAT ( 20( 1X, F9.4, SP, F9.4, S, 'i ') )
99994 FORMAT (/'The matrix D is ' )
99993 FORMAT (/'The matrix C is ' )
99992 FORMAT (/'The matrix B on exit is ' )
99991 FORMAT (/'The matrix F on exit is ' )
99990 FORMAT (/'The vector ALPHAR is ' )
99989 FORMAT ( 50( 1X, F8.4 ) )
99988 FORMAT (/'The vector ALPHAI is ' )
99987 FORMAT (/'The vector BETA is ' )
99986 FORMAT (/'The deflating subspace corresponding to the ',
$ 'eigenvalues with negative real part is ' )
99985 FORMAT (/'The companion subspace corresponding to the ',
$ 'eigenvalues with negative real part is ' )
99984 FORMAT (/'The number of eigenvalues in the initial pencil with ',
$ 'negative real part is ', I2 )
END
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