*> \brief \b DCHKBL * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE DCHKBL( NIN, NOUT ) * * .. Scalar Arguments .. * INTEGER NIN, NOUT * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> DCHKBL tests DGEBAL, a routine for balancing a general real *> matrix and isolating some of its eigenvalues. *> \endverbatim * * Arguments: * ========== * *> \param[in] NIN *> \verbatim *> NIN is INTEGER *> The logical unit number for input. NIN > 0. *> \endverbatim *> *> \param[in] NOUT *> \verbatim *> NOUT is INTEGER *> The logical unit number for output. NOUT > 0. *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \ingroup double_eig * * ===================================================================== SUBROUTINE DCHKBL( NIN, NOUT ) * * -- LAPACK test routine -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * * .. Scalar Arguments .. INTEGER NIN, NOUT * .. * * ====================================================================== * * .. Parameters .. INTEGER LDA PARAMETER ( LDA = 20 ) DOUBLE PRECISION ZERO PARAMETER ( ZERO = 0.0D+0 ) * .. * .. Local Scalars .. INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N, $ NINFO DOUBLE PRECISION ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX * .. * .. Local Arrays .. INTEGER LMAX( 3 ) DOUBLE PRECISION A( LDA, LDA ), AIN( LDA, LDA ), DUMMY( 1 ), $ SCALE( LDA ), SCALIN( LDA ) * .. * .. External Functions .. DOUBLE PRECISION DLAMCH, DLANGE EXTERNAL DLAMCH, DLANGE * .. * .. External Subroutines .. EXTERNAL DGEBAL * .. * .. Intrinsic Functions .. INTRINSIC ABS, MAX * .. * .. Executable Statements .. * LMAX( 1 ) = 0 LMAX( 2 ) = 0 LMAX( 3 ) = 0 NINFO = 0 KNT = 0 RMAX = ZERO VMAX = ZERO SFMIN = DLAMCH( 'S' ) MEPS = DLAMCH( 'E' ) * 10 CONTINUE * READ( NIN, FMT = * )N IF( N.EQ.0 ) $ GO TO 70 DO 20 I = 1, N READ( NIN, FMT = * )( A( I, J ), J = 1, N ) 20 CONTINUE * READ( NIN, FMT = * )ILOIN, IHIIN DO 30 I = 1, N READ( NIN, FMT = * )( AIN( I, J ), J = 1, N ) 30 CONTINUE READ( NIN, FMT = * )( SCALIN( I ), I = 1, N ) * ANORM = DLANGE( 'M', N, N, A, LDA, DUMMY ) KNT = KNT + 1 * CALL DGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO ) * IF( INFO.NE.0 ) THEN NINFO = NINFO + 1 LMAX( 1 ) = KNT END IF * IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN NINFO = NINFO + 1 LMAX( 2 ) = KNT END IF * DO 50 I = 1, N DO 40 J = 1, N TEMP = MAX( A( I, J ), AIN( I, J ) ) TEMP = MAX( TEMP, SFMIN ) VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) / TEMP ) 40 CONTINUE 50 CONTINUE * DO 60 I = 1, N TEMP = MAX( SCALE( I ), SCALIN( I ) ) TEMP = MAX( TEMP, SFMIN ) VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP ) 60 CONTINUE * * IF( VMAX.GT.RMAX ) THEN LMAX( 3 ) = KNT RMAX = VMAX END IF * GO TO 10 * 70 CONTINUE * WRITE( NOUT, FMT = 9999 ) 9999 FORMAT( 1X, '.. test output of DGEBAL .. ' ) * WRITE( NOUT, FMT = 9998 )RMAX 9998 FORMAT( 1X, 'value of largest test error = ', D12.3 ) WRITE( NOUT, FMT = 9997 )LMAX( 1 ) 9997 FORMAT( 1X, 'example number where info is not zero = ', I4 ) WRITE( NOUT, FMT = 9996 )LMAX( 2 ) 9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 ) WRITE( NOUT, FMT = 9995 )LMAX( 3 ) 9995 FORMAT( 1X, 'example number having largest error = ', I4 ) WRITE( NOUT, FMT = 9994 )NINFO 9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 ) WRITE( NOUT, FMT = 9993 )KNT 9993 FORMAT( 1X, 'total number of examples tested = ', I4 ) * RETURN * * End of DCHKBL * END