LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
zchkbl.f
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00001 *> \brief \b ZCHKBL
00002 *
00003 *  =========== DOCUMENTATION ===========
00004 *
00005 * Online html documentation available at 
00006 *            http://www.netlib.org/lapack/explore-html/ 
00007 *
00008 *  Definition:
00009 *  ===========
00010 *
00011 *       SUBROUTINE ZCHKBL( NIN, NOUT )
00012 * 
00013 *       .. Scalar Arguments ..
00014 *       INTEGER            NIN, NOUT
00015 *       ..
00016 *  
00017 *
00018 *> \par Purpose:
00019 *  =============
00020 *>
00021 *> \verbatim
00022 *>
00023 *> ZCHKBL tests ZGEBAL, a routine for balancing a general complex
00024 *> matrix and isolating some of its eigenvalues.
00025 *> \endverbatim
00026 *
00027 *  Arguments:
00028 *  ==========
00029 *
00030 *> \param[in] NIN
00031 *> \verbatim
00032 *>          NIN is INTEGER
00033 *>          The logical unit number for input.  NIN > 0.
00034 *> \endverbatim
00035 *>
00036 *> \param[in] NOUT
00037 *> \verbatim
00038 *>          NOUT is INTEGER
00039 *>          The logical unit number for output.  NOUT > 0.
00040 *> \endverbatim
00041 *
00042 *  Authors:
00043 *  ========
00044 *
00045 *> \author Univ. of Tennessee 
00046 *> \author Univ. of California Berkeley 
00047 *> \author Univ. of Colorado Denver 
00048 *> \author NAG Ltd. 
00049 *
00050 *> \date November 2011
00051 *
00052 *> \ingroup complex16_eig
00053 *
00054 *  =====================================================================
00055       SUBROUTINE ZCHKBL( NIN, NOUT )
00056 *
00057 *  -- LAPACK test routine (version 3.4.0) --
00058 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00059 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00060 *     November 2011
00061 *
00062 *     .. Scalar Arguments ..
00063       INTEGER            NIN, NOUT
00064 *     ..
00065 *
00066 * ======================================================================
00067 *
00068 *     .. Parameters ..
00069       INTEGER            LDA
00070       PARAMETER          ( LDA = 20 )
00071       DOUBLE PRECISION   ZERO
00072       PARAMETER          ( ZERO = 0.0D+0 )
00073 *     ..
00074 *     .. Local Scalars ..
00075       INTEGER            I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
00076      $                   NINFO
00077       DOUBLE PRECISION   ANORM, MEPS, RMAX, SFMIN, TEMP, VMAX
00078       COMPLEX*16         CDUM
00079 *     ..
00080 *     .. Local Arrays ..
00081       INTEGER            LMAX( 3 )
00082       DOUBLE PRECISION   DUMMY( 1 ), SCALE( LDA ), SCALIN( LDA )
00083       COMPLEX*16         A( LDA, LDA ), AIN( LDA, LDA )
00084 *     ..
00085 *     .. External Functions ..
00086       DOUBLE PRECISION   DLAMCH, ZLANGE
00087       EXTERNAL           DLAMCH, ZLANGE
00088 *     ..
00089 *     .. External Subroutines ..
00090       EXTERNAL           ZGEBAL
00091 *     ..
00092 *     .. Intrinsic Functions ..
00093       INTRINSIC          ABS, DBLE, DIMAG, MAX
00094 *     ..
00095 *     .. Statement Functions ..
00096       DOUBLE PRECISION   CABS1
00097 *     ..
00098 *     .. Statement Function definitions ..
00099       CABS1( CDUM ) = ABS( DBLE( CDUM ) ) + ABS( DIMAG( CDUM ) )
00100 *     ..
00101 *     .. Executable Statements ..
00102 *
00103       LMAX( 1 ) = 0
00104       LMAX( 2 ) = 0
00105       LMAX( 3 ) = 0
00106       NINFO = 0
00107       KNT = 0
00108       RMAX = ZERO
00109       VMAX = ZERO
00110       SFMIN = DLAMCH( 'S' )
00111       MEPS = DLAMCH( 'E' )
00112 *
00113    10 CONTINUE
00114 *
00115       READ( NIN, FMT = * )N
00116       IF( N.EQ.0 )
00117      $   GO TO 70
00118       DO 20 I = 1, N
00119          READ( NIN, FMT = * )( A( I, J ), J = 1, N )
00120    20 CONTINUE
00121 *
00122       READ( NIN, FMT = * )ILOIN, IHIIN
00123       DO 30 I = 1, N
00124          READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
00125    30 CONTINUE
00126       READ( NIN, FMT = * )( SCALIN( I ), I = 1, N )
00127 *
00128       ANORM = ZLANGE( 'M', N, N, A, LDA, DUMMY )
00129       KNT = KNT + 1
00130       CALL ZGEBAL( 'B', N, A, LDA, ILO, IHI, SCALE, INFO )
00131 *
00132       IF( INFO.NE.0 ) THEN
00133          NINFO = NINFO + 1
00134          LMAX( 1 ) = KNT
00135       END IF
00136 *
00137       IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
00138          NINFO = NINFO + 1
00139          LMAX( 2 ) = KNT
00140       END IF
00141 *
00142       DO 50 I = 1, N
00143          DO 40 J = 1, N
00144             TEMP = MAX( CABS1( A( I, J ) ), CABS1( AIN( I, J ) ) )
00145             TEMP = MAX( TEMP, SFMIN )
00146             VMAX = MAX( VMAX, CABS1( A( I, J )-AIN( I, J ) ) / TEMP )
00147    40    CONTINUE
00148    50 CONTINUE
00149 *
00150       DO 60 I = 1, N
00151          TEMP = MAX( SCALE( I ), SCALIN( I ) )
00152          TEMP = MAX( TEMP, SFMIN )
00153          VMAX = MAX( VMAX, ABS( SCALE( I )-SCALIN( I ) ) / TEMP )
00154    60 CONTINUE
00155 *
00156       IF( VMAX.GT.RMAX ) THEN
00157          LMAX( 3 ) = KNT
00158          RMAX = VMAX
00159       END IF
00160 *
00161       GO TO 10
00162 *
00163    70 CONTINUE
00164 *
00165       WRITE( NOUT, FMT = 9999 )
00166  9999 FORMAT( 1X, '.. test output of ZGEBAL .. ' )
00167 *
00168       WRITE( NOUT, FMT = 9998 )RMAX
00169  9998 FORMAT( 1X, 'value of largest test error            = ', D12.3 )
00170       WRITE( NOUT, FMT = 9997 )LMAX( 1 )
00171  9997 FORMAT( 1X, 'example number where info is not zero  = ', I4 )
00172       WRITE( NOUT, FMT = 9996 )LMAX( 2 )
00173  9996 FORMAT( 1X, 'example number where ILO or IHI wrong  = ', I4 )
00174       WRITE( NOUT, FMT = 9995 )LMAX( 3 )
00175  9995 FORMAT( 1X, 'example number having largest error    = ', I4 )
00176       WRITE( NOUT, FMT = 9994 )NINFO
00177  9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
00178       WRITE( NOUT, FMT = 9993 )KNT
00179  9993 FORMAT( 1X, 'total number of examples tested        = ', I4 )
00180 *
00181       RETURN
00182 *
00183 *     End of ZCHKBL
00184 *
00185       END
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