LAPACK  3.10.0
LAPACK: Linear Algebra PACKage
zchkbk.f
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1 *> \brief \b ZCHKBK
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 * Definition:
9 * ===========
10 *
11 * SUBROUTINE ZCHKBK( NIN, NOUT )
12 *
13 * .. Scalar Arguments ..
14 * INTEGER NIN, NOUT
15 * ..
16 *
17 *
18 *> \par Purpose:
19 * =============
20 *>
21 *> \verbatim
22 *>
23 *> ZCHKBK tests ZGEBAK, a routine for backward transformation of
24 *> the computed right or left eigenvectors if the original matrix
25 *> was preprocessed by balance subroutine ZGEBAL.
26 *> \endverbatim
27 *
28 * Arguments:
29 * ==========
30 *
31 *> \param[in] NIN
32 *> \verbatim
33 *> NIN is INTEGER
34 *> The logical unit number for input. NIN > 0.
35 *> \endverbatim
36 *>
37 *> \param[in] NOUT
38 *> \verbatim
39 *> NOUT is INTEGER
40 *> The logical unit number for output. NOUT > 0.
41 *> \endverbatim
42 *
43 * Authors:
44 * ========
45 *
46 *> \author Univ. of Tennessee
47 *> \author Univ. of California Berkeley
48 *> \author Univ. of Colorado Denver
49 *> \author NAG Ltd.
50 *
51 *> \ingroup complex16_eig
52 *
53 * =====================================================================
54  SUBROUTINE zchkbk( NIN, NOUT )
55 *
56 * -- LAPACK test routine --
57 * -- LAPACK is a software package provided by Univ. of Tennessee, --
58 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
59 *
60 * .. Scalar Arguments ..
61  INTEGER NIN, NOUT
62 * ..
63 *
64 * ======================================================================
65 *
66 * .. Parameters ..
67  INTEGER LDE
68  parameter( lde = 20 )
69  DOUBLE PRECISION ZERO
70  parameter( zero = 0.0d0 )
71 * ..
72 * .. Local Scalars ..
73  INTEGER I, IHI, ILO, INFO, J, KNT, N, NINFO
74  DOUBLE PRECISION EPS, RMAX, SAFMIN, VMAX, X
75  COMPLEX*16 CDUM
76 * ..
77 * .. Local Arrays ..
78  INTEGER LMAX( 2 )
79  DOUBLE PRECISION SCALE( LDE )
80  COMPLEX*16 E( LDE, LDE ), EIN( LDE, LDE )
81 * ..
82 * .. External Functions ..
83  DOUBLE PRECISION DLAMCH
84  EXTERNAL dlamch
85 * ..
86 * .. External Subroutines ..
87  EXTERNAL zgebak
88 * ..
89 * .. Intrinsic Functions ..
90  INTRINSIC abs, dble, dimag, max
91 * ..
92 * .. Statement Functions ..
93  DOUBLE PRECISION CABS1
94 * ..
95 * .. Statement Function definitions ..
96  cabs1( cdum ) = abs( dble( cdum ) ) + abs( dimag( cdum ) )
97 * ..
98 * .. Executable Statements ..
99 *
100  lmax( 1 ) = 0
101  lmax( 2 ) = 0
102  ninfo = 0
103  knt = 0
104  rmax = zero
105  eps = dlamch( 'E' )
106  safmin = dlamch( 'S' )
107 *
108  10 CONTINUE
109 *
110  READ( nin, fmt = * )n, ilo, ihi
111  IF( n.EQ.0 )
112  $ GO TO 60
113 *
114  READ( nin, fmt = * )( scale( i ), i = 1, n )
115  DO 20 i = 1, n
116  READ( nin, fmt = * )( e( i, j ), j = 1, n )
117  20 CONTINUE
118 *
119  DO 30 i = 1, n
120  READ( nin, fmt = * )( ein( i, j ), j = 1, n )
121  30 CONTINUE
122 *
123  knt = knt + 1
124  CALL zgebak( 'B', 'R', n, ilo, ihi, scale, n, e, lde, info )
125 *
126  IF( info.NE.0 ) THEN
127  ninfo = ninfo + 1
128  lmax( 1 ) = knt
129  END IF
130 *
131  vmax = zero
132  DO 50 i = 1, n
133  DO 40 j = 1, n
134  x = cabs1( e( i, j )-ein( i, j ) ) / eps
135  IF( cabs1( e( i, j ) ).GT.safmin )
136  $ x = x / cabs1( e( i, j ) )
137  vmax = max( vmax, x )
138  40 CONTINUE
139  50 CONTINUE
140 *
141  IF( vmax.GT.rmax ) THEN
142  lmax( 2 ) = knt
143  rmax = vmax
144  END IF
145 *
146  GO TO 10
147 *
148  60 CONTINUE
149 *
150  WRITE( nout, fmt = 9999 )
151  9999 FORMAT( 1x, '.. test output of ZGEBAK .. ' )
152 *
153  WRITE( nout, fmt = 9998 )rmax
154  9998 FORMAT( 1x, 'value of largest test error = ', d12.3 )
155  WRITE( nout, fmt = 9997 )lmax( 1 )
156  9997 FORMAT( 1x, 'example number where info is not zero = ', i4 )
157  WRITE( nout, fmt = 9996 )lmax( 2 )
158  9996 FORMAT( 1x, 'example number having largest error = ', i4 )
159  WRITE( nout, fmt = 9995 )ninfo
160  9995 FORMAT( 1x, 'number of examples where info is not 0 = ', i4 )
161  WRITE( nout, fmt = 9994 )knt
162  9994 FORMAT( 1x, 'total number of examples tested = ', i4 )
163 *
164  RETURN
165 *
166 * End of ZCHKBK
167 *
168  END
subroutine zchkbk(NIN, NOUT)
ZCHKBK
Definition: zchkbk.f:55
subroutine zgebak(JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO)
ZGEBAK
Definition: zgebak.f:131