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* TG01ND EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER NMAX, MMAX, PMAX
PARAMETER ( NMAX = 20, MMAX = 20, PMAX = 20 )
INTEGER LDA, LDB, LDC, LDE, LDQ, LDZ
PARAMETER ( LDA = NMAX, LDB = NMAX, LDC = PMAX,
$ LDE = NMAX, LDQ = NMAX, LDZ = NMAX )
INTEGER LDWORK
PARAMETER ( LDWORK = 4*NMAX )
* .. Local Scalars ..
CHARACTER*1 JOB, JOBT
INTEGER I, INFO, J, M, N, ND, NF, NIBLCK, P
DOUBLE PRECISION TOL
* .. Local Arrays ..
INTEGER IBLCK(NMAX), IWORK(NMAX+6)
DOUBLE PRECISION A(LDA,NMAX), ALPHAI(NMAX), ALPHAR(NMAX),
$ B(LDB,MMAX), BETA(NMAX), C(LDC,NMAX),
$ DWORK(LDWORK), E(LDE,NMAX), Q(LDQ,NMAX),
$ Z(LDZ,NMAX)
* .. External Subroutines ..
EXTERNAL TG01ND
* .. Intrinsic Functions ..
INTRINSIC DCMPLX
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) N, M, P, JOB, JOBT, TOL
IF ( N.LT.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99988 ) N
ELSE
READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N )
READ ( NIN, FMT = * ) ( ( E(I,J), J = 1,N ), I = 1,N )
IF ( M.LT.0 .OR. M.GT.MMAX ) THEN
WRITE ( NOUT, FMT = 99987 ) M
ELSE
READ ( NIN, FMT = * ) ( ( B(I,J), J = 1,M ), I = 1,N )
IF ( P.LT.0 .OR. P.GT.PMAX ) THEN
WRITE ( NOUT, FMT = 99986 ) P
ELSE
READ ( NIN, FMT = * ) ( ( C(I,J), J = 1,N ), I = 1,P )
* Find the reduced descriptor system
* (A-lambda E,B,C).
CALL TG01ND( JOB, JOBT, N, M, P, A, LDA, E, LDE, B, LDB,
$ C, LDC, ALPHAR, ALPHAI, BETA, Q, LDQ, Z,
$ LDZ, NF, ND, NIBLCK, IBLCK, TOL, IWORK,
$ DWORK, LDWORK, INFO )
*
IF ( INFO.NE.0 ) THEN
WRITE ( NOUT, FMT = 99998 ) INFO
ELSE
WRITE ( NOUT, FMT = 99994 ) NF, ND
WRITE ( NOUT, FMT = 99989 ) NIBLCK + 1
IF ( NIBLCK.GT.0 ) THEN
WRITE ( NOUT, FMT = 99985 )
$ ( IBLCK(I), I = 1, NIBLCK )
END IF
WRITE ( NOUT, FMT = 99997 )
DO 10 I = 1, N
WRITE ( NOUT, FMT = 99995 ) ( A(I,J), J = 1,N )
10 CONTINUE
WRITE ( NOUT, FMT = 99996 )
DO 20 I = 1, N
WRITE ( NOUT, FMT = 99995 ) ( E(I,J), J = 1,N )
20 CONTINUE
WRITE ( NOUT, FMT = 99993 )
DO 30 I = 1, N
WRITE ( NOUT, FMT = 99995 ) ( B(I,J), J = 1,M )
30 CONTINUE
WRITE ( NOUT, FMT = 99992 )
DO 40 I = 1, P
WRITE ( NOUT, FMT = 99995 ) ( C(I,J), J = 1,N )
40 CONTINUE
WRITE ( NOUT, FMT = 99991 )
DO 50 I = 1, N
WRITE ( NOUT, FMT = 99995 ) ( Q(I,J), J = 1,N )
50 CONTINUE
WRITE ( NOUT, FMT = 99990 )
DO 60 I = 1, N
WRITE ( NOUT, FMT = 99995 ) ( Z(I,J), J = 1,N )
60 CONTINUE
WRITE ( NOUT, FMT = 99985 )
DO 70 I = 1, NF
WRITE ( NOUT, FMT = 99984 )
$ DCMPLX( ALPHAR(I), ALPHAI(I) )/BETA(I)
70 CONTINUE
END IF
END IF
END IF
END IF
STOP
*
99999 FORMAT (' TG01ND EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from TG01ND = ',I2)
99997 FORMAT (/' The transformed state dynamics matrix Q*A*Z is ')
99996 FORMAT (/' The transformed descriptor matrix Q*E*Z is ')
99995 FORMAT (20(1X,F8.4))
99994 FORMAT (' Order of reduced system =', I5/
$ ' Number of non-dynamic infinite eigenvalues =', I5)
99993 FORMAT (/' The transformed input/state matrix Q*B is ')
99992 FORMAT (/' The transformed state/output matrix C*Z is ')
99991 FORMAT (/' The left transformation matrix Q is ')
99990 FORMAT (/' The right transformation matrix Z is ')
99989 FORMAT ( ' Number of infinite blocks = ',I5)
99988 FORMAT (/' N is out of range.',/' N = ',I5)
99987 FORMAT (/' M is out of range.',/' M = ',I5)
99986 FORMAT (/' P is out of range.',/' P = ',I5)
99985 FORMAT (/' The finite generalized eigenvalues are '/
$ ' real part imag part ')
99984 FORMAT (1X,F9.4,SP,F9.4,S,'i ')
END
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