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C
C SPDX-License-Identifier: BSD-3-Clause
C
* SB03UD EXAMPLE PROGRAM TEXT
*
* .. Parameters ..
INTEGER NIN, NOUT
PARAMETER ( NIN = 5, NOUT = 6 )
INTEGER NMAX
PARAMETER ( NMAX = 20 )
INTEGER LDA, LDC, LDT, LDU, LDX
PARAMETER ( LDA = NMAX, LDC = NMAX, LDT = NMAX,
$ LDU = NMAX, LDX = NMAX )
INTEGER LIWORK
PARAMETER ( LIWORK = NMAX*NMAX )
INTEGER LDWORK
PARAMETER ( LDWORK = MAX( 3, 2*NMAX*NMAX ) +
$ NMAX*NMAX + 2*NMAX )
* .. Local Scalars ..
DOUBLE PRECISION FERR, RCOND, SCALE, SEPD
INTEGER I, INFO, J, N
CHARACTER*1 DICO, FACT, JOB, LYAPUN, TRANA, UPLO
* .. Local Arrays ..
INTEGER IWORK(LIWORK)
DOUBLE PRECISION A(LDA,NMAX), C(LDC,NMAX), DWORK(LDWORK),
$ T(LDT,NMAX), U(LDU,NMAX), X(LDX,NMAX)
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* .. External Subroutines ..
EXTERNAL SB03UD
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Executable Statements ..
*
WRITE ( NOUT, FMT = 99999 )
DICO = 'D'
* Skip the heading in the data file and read the data.
READ ( NIN, FMT = '()' )
READ ( NIN, FMT = * ) N, JOB, FACT, TRANA, UPLO, LYAPUN
IF ( N.LT.0 .OR. N.GT.NMAX ) THEN
WRITE ( NOUT, FMT = 99994 ) N
ELSE
IF ( LSAME( JOB, 'C' ) .OR. LSAME( JOB, 'E' ) )
$ READ ( NIN, FMT = * ) SCALE
IF ( LSAME( FACT, 'N' ) .OR. ( LSAME( LYAPUN, 'O' ) .AND.
$ .NOT.LSAME( JOB, 'X') ) )
$ READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N )
IF ( LSAME( FACT, 'F' ) ) THEN
READ ( NIN, FMT = * ) ( ( T(I,J), J = 1,N ), I = 1,N )
IF ( LSAME( LYAPUN, 'O' ) )
$ READ ( NIN, FMT = * ) ( ( U(I,J), J = 1,N ), I = 1,N )
END IF
IF ( .NOT.LSAME( JOB, 'S' ) )
$ READ ( NIN, FMT = * ) ( ( C(I,J), J = 1,N ), I = 1,N )
IF ( LSAME( JOB, 'C' ) .OR. LSAME( JOB, 'E' ) )
$ READ ( NIN, FMT = * ) ( ( X(I,J), J = 1,N ), I = 1,N )
* Solve the discrete-time Lyapunov matrix equation and/or
* estimate the condition and error bound on the solution.
CALL SB03UD( JOB, FACT, TRANA, UPLO, LYAPUN, N, SCALE, A, LDA,
$ T, LDT, U, LDU, C, LDC, X, LDX, SEPD, RCOND, FERR,
$ DWORK(1), DWORK(N+1), IWORK, DWORK(2*N+1),
$ LDWORK-2*N, INFO )
*
IF ( INFO.EQ.0 ) THEN
IF ( LSAME( JOB, 'X' ) .OR. LSAME( JOB, 'A' ) ) THEN
WRITE ( NOUT, FMT = 99996 )
DO 10 I = 1, N
WRITE ( NOUT, FMT = 99995 ) ( X(I,J), J = 1,N )
10 CONTINUE
WRITE ( NOUT, FMT = 99993 ) SCALE
END IF
IF ( LSAME( JOB, 'S' ) .OR. LSAME( JOB, 'C' )
$ .OR. LSAME( JOB, 'A' ) )
$ WRITE ( NOUT, FMT = 99992 ) SEPD
IF ( LSAME( JOB, 'C' ) .OR. LSAME( JOB, 'A' ) )
$ WRITE ( NOUT, FMT = 99991 ) RCOND
IF ( LSAME( JOB, 'E' ) .OR. LSAME( JOB, 'A' ) )
$ WRITE ( NOUT, FMT = 99990 ) FERR
ELSE
WRITE ( NOUT, FMT = 99998 ) INFO
END IF
END IF
STOP
*
99999 FORMAT (' SB03UD EXAMPLE PROGRAM RESULTS',/1X)
99998 FORMAT (' INFO on exit from SB03UD =',I2)
99996 FORMAT (' The solution matrix X is')
99995 FORMAT (20(1X,F8.4))
99994 FORMAT (/' N is out of range.',/' N = ',I5)
99993 FORMAT (/' Scaling factor = ',F8.4)
99992 FORMAT (/' Estimated separation = ',F8.4)
99991 FORMAT (/' Estimated reciprocal condition number = ',F8.4)
99990 FORMAT (/' Estimated error bound = ',F8.4)
END
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