1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
|
*> \brief \b DGET37
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DGET37( RMAX, LMAX, NINFO, KNT, NIN )
*
* .. Scalar Arguments ..
* INTEGER KNT, NIN
* ..
* .. Array Arguments ..
* INTEGER LMAX( 3 ), NINFO( 3 )
* DOUBLE PRECISION RMAX( 3 )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> DGET37 tests DTRSNA, a routine for estimating condition numbers of
*> eigenvalues and/or right eigenvectors of a matrix.
*>
*> The test matrices are read from a file with logical unit number NIN.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[out] RMAX
*> \verbatim
*> RMAX is DOUBLE PRECISION array, dimension (3)
*> Value of the largest test ratio.
*> RMAX(1) = largest ratio comparing different calls to DTRSNA
*> RMAX(2) = largest error in reciprocal condition
*> numbers taking their conditioning into account
*> RMAX(3) = largest error in reciprocal condition
*> numbers not taking their conditioning into
*> account (may be larger than RMAX(2))
*> \endverbatim
*>
*> \param[out] LMAX
*> \verbatim
*> LMAX is INTEGER array, dimension (3)
*> LMAX(i) is example number where largest test ratio
*> RMAX(i) is achieved. Also:
*> If DGEHRD returns INFO nonzero on example i, LMAX(1)=i
*> If DHSEQR returns INFO nonzero on example i, LMAX(2)=i
*> If DTRSNA returns INFO nonzero on example i, LMAX(3)=i
*> \endverbatim
*>
*> \param[out] NINFO
*> \verbatim
*> NINFO is INTEGER array, dimension (3)
*> NINFO(1) = No. of times DGEHRD returned INFO nonzero
*> NINFO(2) = No. of times DHSEQR returned INFO nonzero
*> NINFO(3) = No. of times DTRSNA returned INFO nonzero
*> \endverbatim
*>
*> \param[out] KNT
*> \verbatim
*> KNT is INTEGER
*> Total number of examples tested.
*> \endverbatim
*>
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> Input logical unit number
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup double_eig
*
* =====================================================================
SUBROUTINE DGET37( RMAX, LMAX, NINFO, KNT, NIN )
*
* -- LAPACK test routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
INTEGER KNT, NIN
* ..
* .. Array Arguments ..
INTEGER LMAX( 3 ), NINFO( 3 )
DOUBLE PRECISION RMAX( 3 )
* ..
*
* =====================================================================
*
* .. Parameters ..
DOUBLE PRECISION ZERO, ONE, TWO
PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0, TWO = 2.0D0 )
DOUBLE PRECISION EPSIN
PARAMETER ( EPSIN = 5.9605D-8 )
INTEGER LDT, LWORK
PARAMETER ( LDT = 20, LWORK = 2*LDT*( 10+LDT ) )
* ..
* .. Local Scalars ..
INTEGER I, ICMP, IFND, INFO, ISCL, J, KMIN, M, N
DOUBLE PRECISION BIGNUM, EPS, SMLNUM, TNRM, TOL, TOLIN, V,
$ VIMIN, VMAX, VMUL, VRMIN
* ..
* .. Local Arrays ..
LOGICAL SELECT( LDT )
INTEGER IWORK( 2*LDT ), LCMP( 3 )
DOUBLE PRECISION DUM( 1 ), LE( LDT, LDT ), RE( LDT, LDT ),
$ S( LDT ), SEP( LDT ), SEPIN( LDT ),
$ SEPTMP( LDT ), SIN( LDT ), STMP( LDT ),
$ T( LDT, LDT ), TMP( LDT, LDT ), VAL( 3 ),
$ WI( LDT ), WIIN( LDT ), WITMP( LDT ),
$ WORK( LWORK ), WR( LDT ), WRIN( LDT ),
$ WRTMP( LDT )
* ..
* .. External Functions ..
DOUBLE PRECISION DLAMCH, DLANGE
EXTERNAL DLAMCH, DLANGE
* ..
* .. External Subroutines ..
EXTERNAL DCOPY, DGEHRD, DHSEQR, DLABAD, DLACPY, DSCAL,
$ DTREVC, DTRSNA
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE, MAX, SQRT
* ..
* .. Executable Statements ..
*
EPS = DLAMCH( 'P' )
SMLNUM = DLAMCH( 'S' ) / EPS
BIGNUM = ONE / SMLNUM
CALL DLABAD( SMLNUM, BIGNUM )
*
* EPSIN = 2**(-24) = precision to which input data computed
*
EPS = MAX( EPS, EPSIN )
RMAX( 1 ) = ZERO
RMAX( 2 ) = ZERO
RMAX( 3 ) = ZERO
LMAX( 1 ) = 0
LMAX( 2 ) = 0
LMAX( 3 ) = 0
KNT = 0
NINFO( 1 ) = 0
NINFO( 2 ) = 0
NINFO( 3 ) = 0
*
VAL( 1 ) = SQRT( SMLNUM )
VAL( 2 ) = ONE
VAL( 3 ) = SQRT( BIGNUM )
*
* Read input data until N=0. Assume input eigenvalues are sorted
* lexicographically (increasing by real part, then decreasing by
* imaginary part)
*
10 CONTINUE
READ( NIN, FMT = * )N
IF( N.EQ.0 )
$ RETURN
DO 20 I = 1, N
READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
20 CONTINUE
DO 30 I = 1, N
READ( NIN, FMT = * )WRIN( I ), WIIN( I ), SIN( I ), SEPIN( I )
30 CONTINUE
TNRM = DLANGE( 'M', N, N, TMP, LDT, WORK )
*
* Begin test
*
DO 240 ISCL = 1, 3
*
* Scale input matrix
*
KNT = KNT + 1
CALL DLACPY( 'F', N, N, TMP, LDT, T, LDT )
VMUL = VAL( ISCL )
DO 40 I = 1, N
CALL DSCAL( N, VMUL, T( 1, I ), 1 )
40 CONTINUE
IF( TNRM.EQ.ZERO )
$ VMUL = ONE
*
* Compute eigenvalues and eigenvectors
*
CALL DGEHRD( N, 1, N, T, LDT, WORK( 1 ), WORK( N+1 ), LWORK-N,
$ INFO )
IF( INFO.NE.0 ) THEN
LMAX( 1 ) = KNT
NINFO( 1 ) = NINFO( 1 ) + 1
GO TO 240
END IF
DO 60 J = 1, N - 2
DO 50 I = J + 2, N
T( I, J ) = ZERO
50 CONTINUE
60 CONTINUE
*
* Compute Schur form
*
CALL DHSEQR( 'S', 'N', N, 1, N, T, LDT, WR, WI, DUM, 1, WORK,
$ LWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 2 ) = KNT
NINFO( 2 ) = NINFO( 2 ) + 1
GO TO 240
END IF
*
* Compute eigenvectors
*
CALL DTREVC( 'Both', 'All', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, N, M, WORK, INFO )
*
* Compute condition numbers
*
CALL DTRSNA( 'Both', 'All', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, S, SEP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
*
* Sort eigenvalues and condition numbers lexicographically
* to compare with inputs
*
CALL DCOPY( N, WR, 1, WRTMP, 1 )
CALL DCOPY( N, WI, 1, WITMP, 1 )
CALL DCOPY( N, S, 1, STMP, 1 )
CALL DCOPY( N, SEP, 1, SEPTMP, 1 )
CALL DSCAL( N, ONE / VMUL, SEPTMP, 1 )
DO 80 I = 1, N - 1
KMIN = I
VRMIN = WRTMP( I )
VIMIN = WITMP( I )
DO 70 J = I + 1, N
IF( WRTMP( J ).LT.VRMIN ) THEN
KMIN = J
VRMIN = WRTMP( J )
VIMIN = WITMP( J )
END IF
70 CONTINUE
WRTMP( KMIN ) = WRTMP( I )
WITMP( KMIN ) = WITMP( I )
WRTMP( I ) = VRMIN
WITMP( I ) = VIMIN
VRMIN = STMP( KMIN )
STMP( KMIN ) = STMP( I )
STMP( I ) = VRMIN
VRMIN = SEPTMP( KMIN )
SEPTMP( KMIN ) = SEPTMP( I )
SEPTMP( I ) = VRMIN
80 CONTINUE
*
* Compare condition numbers for eigenvalues
* taking their condition numbers into account
*
V = MAX( TWO*DBLE( N )*EPS*TNRM, SMLNUM )
IF( TNRM.EQ.ZERO )
$ V = ONE
DO 90 I = 1, N
IF( V.GT.SEPTMP( I ) ) THEN
TOL = ONE
ELSE
TOL = V / SEPTMP( I )
END IF
IF( V.GT.SEPIN( I ) ) THEN
TOLIN = ONE
ELSE
TOLIN = V / SEPIN( I )
END IF
TOL = MAX( TOL, SMLNUM / EPS )
TOLIN = MAX( TOLIN, SMLNUM / EPS )
IF( EPS*( SIN( I )-TOLIN ).GT.STMP( I )+TOL ) THEN
VMAX = ONE / EPS
ELSE IF( SIN( I )-TOLIN.GT.STMP( I )+TOL ) THEN
VMAX = ( SIN( I )-TOLIN ) / ( STMP( I )+TOL )
ELSE IF( SIN( I )+TOLIN.LT.EPS*( STMP( I )-TOL ) ) THEN
VMAX = ONE / EPS
ELSE IF( SIN( I )+TOLIN.LT.STMP( I )-TOL ) THEN
VMAX = ( STMP( I )-TOL ) / ( SIN( I )+TOLIN )
ELSE
VMAX = ONE
END IF
IF( VMAX.GT.RMAX( 2 ) ) THEN
RMAX( 2 ) = VMAX
IF( NINFO( 2 ).EQ.0 )
$ LMAX( 2 ) = KNT
END IF
90 CONTINUE
*
* Compare condition numbers for eigenvectors
* taking their condition numbers into account
*
DO 100 I = 1, N
IF( V.GT.SEPTMP( I )*STMP( I ) ) THEN
TOL = SEPTMP( I )
ELSE
TOL = V / STMP( I )
END IF
IF( V.GT.SEPIN( I )*SIN( I ) ) THEN
TOLIN = SEPIN( I )
ELSE
TOLIN = V / SIN( I )
END IF
TOL = MAX( TOL, SMLNUM / EPS )
TOLIN = MAX( TOLIN, SMLNUM / EPS )
IF( EPS*( SEPIN( I )-TOLIN ).GT.SEPTMP( I )+TOL ) THEN
VMAX = ONE / EPS
ELSE IF( SEPIN( I )-TOLIN.GT.SEPTMP( I )+TOL ) THEN
VMAX = ( SEPIN( I )-TOLIN ) / ( SEPTMP( I )+TOL )
ELSE IF( SEPIN( I )+TOLIN.LT.EPS*( SEPTMP( I )-TOL ) ) THEN
VMAX = ONE / EPS
ELSE IF( SEPIN( I )+TOLIN.LT.SEPTMP( I )-TOL ) THEN
VMAX = ( SEPTMP( I )-TOL ) / ( SEPIN( I )+TOLIN )
ELSE
VMAX = ONE
END IF
IF( VMAX.GT.RMAX( 2 ) ) THEN
RMAX( 2 ) = VMAX
IF( NINFO( 2 ).EQ.0 )
$ LMAX( 2 ) = KNT
END IF
100 CONTINUE
*
* Compare condition numbers for eigenvalues
* without taking their condition numbers into account
*
DO 110 I = 1, N
IF( SIN( I ).LE.DBLE( 2*N )*EPS .AND. STMP( I ).LE.
$ DBLE( 2*N )*EPS ) THEN
VMAX = ONE
ELSE IF( EPS*SIN( I ).GT.STMP( I ) ) THEN
VMAX = ONE / EPS
ELSE IF( SIN( I ).GT.STMP( I ) ) THEN
VMAX = SIN( I ) / STMP( I )
ELSE IF( SIN( I ).LT.EPS*STMP( I ) ) THEN
VMAX = ONE / EPS
ELSE IF( SIN( I ).LT.STMP( I ) ) THEN
VMAX = STMP( I ) / SIN( I )
ELSE
VMAX = ONE
END IF
IF( VMAX.GT.RMAX( 3 ) ) THEN
RMAX( 3 ) = VMAX
IF( NINFO( 3 ).EQ.0 )
$ LMAX( 3 ) = KNT
END IF
110 CONTINUE
*
* Compare condition numbers for eigenvectors
* without taking their condition numbers into account
*
DO 120 I = 1, N
IF( SEPIN( I ).LE.V .AND. SEPTMP( I ).LE.V ) THEN
VMAX = ONE
ELSE IF( EPS*SEPIN( I ).GT.SEPTMP( I ) ) THEN
VMAX = ONE / EPS
ELSE IF( SEPIN( I ).GT.SEPTMP( I ) ) THEN
VMAX = SEPIN( I ) / SEPTMP( I )
ELSE IF( SEPIN( I ).LT.EPS*SEPTMP( I ) ) THEN
VMAX = ONE / EPS
ELSE IF( SEPIN( I ).LT.SEPTMP( I ) ) THEN
VMAX = SEPTMP( I ) / SEPIN( I )
ELSE
VMAX = ONE
END IF
IF( VMAX.GT.RMAX( 3 ) ) THEN
RMAX( 3 ) = VMAX
IF( NINFO( 3 ).EQ.0 )
$ LMAX( 3 ) = KNT
END IF
120 CONTINUE
*
* Compute eigenvalue condition numbers only and compare
*
VMAX = ZERO
DUM( 1 ) = -ONE
CALL DCOPY( N, DUM, 0, STMP, 1 )
CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Eigcond', 'All', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 130 I = 1, N
IF( STMP( I ).NE.S( I ) )
$ VMAX = ONE / EPS
IF( SEPTMP( I ).NE.DUM( 1 ) )
$ VMAX = ONE / EPS
130 CONTINUE
*
* Compute eigenvector condition numbers only and compare
*
CALL DCOPY( N, DUM, 0, STMP, 1 )
CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Veccond', 'All', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 140 I = 1, N
IF( STMP( I ).NE.DUM( 1 ) )
$ VMAX = ONE / EPS
IF( SEPTMP( I ).NE.SEP( I ) )
$ VMAX = ONE / EPS
140 CONTINUE
*
* Compute all condition numbers using SELECT and compare
*
DO 150 I = 1, N
SELECT( I ) = .TRUE.
150 CONTINUE
CALL DCOPY( N, DUM, 0, STMP, 1 )
CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Bothcond', 'Some', SELECT, N, T, LDT, LE, LDT,
$ RE, LDT, STMP, SEPTMP, N, M, WORK, N, IWORK,
$ INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 160 I = 1, N
IF( SEPTMP( I ).NE.SEP( I ) )
$ VMAX = ONE / EPS
IF( STMP( I ).NE.S( I ) )
$ VMAX = ONE / EPS
160 CONTINUE
*
* Compute eigenvalue condition numbers using SELECT and compare
*
CALL DCOPY( N, DUM, 0, STMP, 1 )
CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Eigcond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 170 I = 1, N
IF( STMP( I ).NE.S( I ) )
$ VMAX = ONE / EPS
IF( SEPTMP( I ).NE.DUM( 1 ) )
$ VMAX = ONE / EPS
170 CONTINUE
*
* Compute eigenvector condition numbers using SELECT and compare
*
CALL DCOPY( N, DUM, 0, STMP, 1 )
CALL DCOPY( N, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Veccond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 180 I = 1, N
IF( STMP( I ).NE.DUM( 1 ) )
$ VMAX = ONE / EPS
IF( SEPTMP( I ).NE.SEP( I ) )
$ VMAX = ONE / EPS
180 CONTINUE
IF( VMAX.GT.RMAX( 1 ) ) THEN
RMAX( 1 ) = VMAX
IF( NINFO( 1 ).EQ.0 )
$ LMAX( 1 ) = KNT
END IF
*
* Select first real and first complex eigenvalue
*
IF( WI( 1 ).EQ.ZERO ) THEN
LCMP( 1 ) = 1
IFND = 0
DO 190 I = 2, N
IF( IFND.EQ.1 .OR. WI( I ).EQ.ZERO ) THEN
SELECT( I ) = .FALSE.
ELSE
IFND = 1
LCMP( 2 ) = I
LCMP( 3 ) = I + 1
CALL DCOPY( N, RE( 1, I ), 1, RE( 1, 2 ), 1 )
CALL DCOPY( N, RE( 1, I+1 ), 1, RE( 1, 3 ), 1 )
CALL DCOPY( N, LE( 1, I ), 1, LE( 1, 2 ), 1 )
CALL DCOPY( N, LE( 1, I+1 ), 1, LE( 1, 3 ), 1 )
END IF
190 CONTINUE
IF( IFND.EQ.0 ) THEN
ICMP = 1
ELSE
ICMP = 3
END IF
ELSE
LCMP( 1 ) = 1
LCMP( 2 ) = 2
IFND = 0
DO 200 I = 3, N
IF( IFND.EQ.1 .OR. WI( I ).NE.ZERO ) THEN
SELECT( I ) = .FALSE.
ELSE
LCMP( 3 ) = I
IFND = 1
CALL DCOPY( N, RE( 1, I ), 1, RE( 1, 3 ), 1 )
CALL DCOPY( N, LE( 1, I ), 1, LE( 1, 3 ), 1 )
END IF
200 CONTINUE
IF( IFND.EQ.0 ) THEN
ICMP = 2
ELSE
ICMP = 3
END IF
END IF
*
* Compute all selected condition numbers
*
CALL DCOPY( ICMP, DUM, 0, STMP, 1 )
CALL DCOPY( ICMP, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Bothcond', 'Some', SELECT, N, T, LDT, LE, LDT,
$ RE, LDT, STMP, SEPTMP, N, M, WORK, N, IWORK,
$ INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 210 I = 1, ICMP
J = LCMP( I )
IF( SEPTMP( I ).NE.SEP( J ) )
$ VMAX = ONE / EPS
IF( STMP( I ).NE.S( J ) )
$ VMAX = ONE / EPS
210 CONTINUE
*
* Compute selected eigenvalue condition numbers
*
CALL DCOPY( ICMP, DUM, 0, STMP, 1 )
CALL DCOPY( ICMP, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Eigcond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 220 I = 1, ICMP
J = LCMP( I )
IF( STMP( I ).NE.S( J ) )
$ VMAX = ONE / EPS
IF( SEPTMP( I ).NE.DUM( 1 ) )
$ VMAX = ONE / EPS
220 CONTINUE
*
* Compute selected eigenvector condition numbers
*
CALL DCOPY( ICMP, DUM, 0, STMP, 1 )
CALL DCOPY( ICMP, DUM, 0, SEPTMP, 1 )
CALL DTRSNA( 'Veccond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
$ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
IF( INFO.NE.0 ) THEN
LMAX( 3 ) = KNT
NINFO( 3 ) = NINFO( 3 ) + 1
GO TO 240
END IF
DO 230 I = 1, ICMP
J = LCMP( I )
IF( STMP( I ).NE.DUM( 1 ) )
$ VMAX = ONE / EPS
IF( SEPTMP( I ).NE.SEP( J ) )
$ VMAX = ONE / EPS
230 CONTINUE
IF( VMAX.GT.RMAX( 1 ) ) THEN
RMAX( 1 ) = VMAX
IF( NINFO( 1 ).EQ.0 )
$ LMAX( 1 ) = KNT
END IF
240 CONTINUE
GO TO 10
*
* End of DGET37
*
END
|
