LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ schkgl()

subroutine schkgl ( integer  NIN,
integer  NOUT 
)

SCHKGL

Purpose:
 SCHKGL tests SGGBAL, a routine for balancing a matrix pair (A, B).
Parameters
[in]NIN
          NIN is INTEGER
          The logical unit number for input.  NIN > 0.
[in]NOUT
          NOUT is INTEGER
          The logical unit number for output.  NOUT > 0.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 52 of file schkgl.f.

53 *
54 * -- LAPACK test routine --
55 * -- LAPACK is a software package provided by Univ. of Tennessee, --
56 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
57 *
58 * .. Scalar Arguments ..
59  INTEGER NIN, NOUT
60 * ..
61 *
62 * =====================================================================
63 *
64 * .. Parameters ..
65  INTEGER LDA, LDB, LWORK
66  parameter( lda = 20, ldb = 20, lwork = 6*lda )
67  REAL ZERO
68  parameter( zero = 0.0e+0 )
69 * ..
70 * .. Local Scalars ..
71  INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
72  $ NINFO
73  REAL ANORM, BNORM, EPS, RMAX, VMAX
74 * ..
75 * .. Local Arrays ..
76  INTEGER LMAX( 5 )
77  REAL A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ),
78  $ BIN( LDB, LDB ), LSCALE( LDA ), LSCLIN( LDA ),
79  $ RSCALE( LDA ), RSCLIN( LDA ), WORK( LWORK )
80 * ..
81 * .. External Functions ..
82  REAL SLAMCH, SLANGE
83  EXTERNAL slamch, slange
84 * ..
85 * .. External Subroutines ..
86  EXTERNAL sggbal
87 * ..
88 * .. Intrinsic Functions ..
89  INTRINSIC abs, max
90 * ..
91 * .. Executable Statements ..
92 *
93  lmax( 1 ) = 0
94  lmax( 2 ) = 0
95  lmax( 3 ) = 0
96  ninfo = 0
97  knt = 0
98  rmax = zero
99 *
100  eps = slamch( 'Precision' )
101 *
102  10 CONTINUE
103 *
104  READ( nin, fmt = * )n
105  IF( n.EQ.0 )
106  $ GO TO 90
107  DO 20 i = 1, n
108  READ( nin, fmt = * )( a( i, j ), j = 1, n )
109  20 CONTINUE
110 *
111  DO 30 i = 1, n
112  READ( nin, fmt = * )( b( i, j ), j = 1, n )
113  30 CONTINUE
114 *
115  READ( nin, fmt = * )iloin, ihiin
116  DO 40 i = 1, n
117  READ( nin, fmt = * )( ain( i, j ), j = 1, n )
118  40 CONTINUE
119  DO 50 i = 1, n
120  READ( nin, fmt = * )( bin( i, j ), j = 1, n )
121  50 CONTINUE
122 *
123  READ( nin, fmt = * )( lsclin( i ), i = 1, n )
124  READ( nin, fmt = * )( rsclin( i ), i = 1, n )
125 *
126  anorm = slange( 'M', n, n, a, lda, work )
127  bnorm = slange( 'M', n, n, b, ldb, work )
128 *
129  knt = knt + 1
130 *
131  CALL sggbal( 'B', n, a, lda, b, ldb, ilo, ihi, lscale, rscale,
132  $ work, info )
133 *
134  IF( info.NE.0 ) THEN
135  ninfo = ninfo + 1
136  lmax( 1 ) = knt
137  END IF
138 *
139  IF( ilo.NE.iloin .OR. ihi.NE.ihiin ) THEN
140  ninfo = ninfo + 1
141  lmax( 2 ) = knt
142  END IF
143 *
144  vmax = zero
145  DO 70 i = 1, n
146  DO 60 j = 1, n
147  vmax = max( vmax, abs( a( i, j )-ain( i, j ) ) )
148  vmax = max( vmax, abs( b( i, j )-bin( i, j ) ) )
149  60 CONTINUE
150  70 CONTINUE
151 *
152  DO 80 i = 1, n
153  vmax = max( vmax, abs( lscale( i )-lsclin( i ) ) )
154  vmax = max( vmax, abs( rscale( i )-rsclin( i ) ) )
155  80 CONTINUE
156 *
157  vmax = vmax / ( eps*max( anorm, bnorm ) )
158 *
159  IF( vmax.GT.rmax ) THEN
160  lmax( 3 ) = knt
161  rmax = vmax
162  END IF
163 *
164  GO TO 10
165 *
166  90 CONTINUE
167 *
168  WRITE( nout, fmt = 9999 )
169  9999 FORMAT( 1x, '.. test output of SGGBAL .. ' )
170 *
171  WRITE( nout, fmt = 9998 )rmax
172  9998 FORMAT( 1x, 'value of largest test error = ', e12.3 )
173  WRITE( nout, fmt = 9997 )lmax( 1 )
174  9997 FORMAT( 1x, 'example number where info is not zero = ', i4 )
175  WRITE( nout, fmt = 9996 )lmax( 2 )
176  9996 FORMAT( 1x, 'example number where ILO or IHI wrong = ', i4 )
177  WRITE( nout, fmt = 9995 )lmax( 3 )
178  9995 FORMAT( 1x, 'example number having largest error = ', i4 )
179  WRITE( nout, fmt = 9994 )ninfo
180  9994 FORMAT( 1x, 'number of examples where info is not 0 = ', i4 )
181  WRITE( nout, fmt = 9993 )knt
182  9993 FORMAT( 1x, 'total number of examples tested = ', i4 )
183 *
184  RETURN
185 *
186 * End of SCHKGL
187 *
subroutine sggbal(JOB, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, WORK, INFO)
SGGBAL
Definition: sggbal.f:177
real function slange(NORM, M, N, A, LDA, WORK)
SLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition: slange.f:114
real function slamch(CMACH)
SLAMCH
Definition: slamch.f:68
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