107
108
109
110
111
112
113 CHARACTER*3 PATH
114 INTEGER IOUNIT
115
116
117
118
119
120 LOGICAL CORZ, SORD
121 CHARACTER C1, C3
122 CHARACTER*2 P2
123 CHARACTER*4 EIGCNM
124 CHARACTER*32 SUBNAM
125 CHARACTER*9 SYM
126
127
128 LOGICAL LSAME, LSAMEN
130
131
132 INTRINSIC len_trim
133
134
135
136 IF( iounit.LE.0 )
137 $ RETURN
138 c1 = path( 1: 1 )
139 c3 = path( 3: 3 )
140 p2 = path( 2: 3 )
143 IF( .NOT.( sord .OR. corz ) )
144 $ RETURN
145
146 IF(
lsamen( 2, p2,
'GE' ) )
THEN
147
148
149
150 WRITE( iounit, fmt = 9999 )path
151 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
152 WRITE( iounit, fmt = 9979 )
153 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
154 WRITE( iounit, fmt = 9962 )1
155 WRITE( iounit, fmt = 9961 )2
156 WRITE( iounit, fmt = 9960 )3
157 WRITE( iounit, fmt = 9959 )4
158 WRITE( iounit, fmt = 9958 )5
159 WRITE( iounit, fmt = 9957 )6
160 WRITE( iounit, fmt = 9956 )7
161 WRITE( iounit, fmt = 9955 )8
162 WRITE( iounit, fmt = '( '' Messages:'' )' )
163
164 ELSE IF(
lsamen( 2, p2,
'GB' ) )
THEN
165
166
167
168 WRITE( iounit, fmt = 9998 )path
169 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
170 WRITE( iounit, fmt = 9978 )
171 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
172 WRITE( iounit, fmt = 9962 )1
173 WRITE( iounit, fmt = 9960 )2
174 WRITE( iounit, fmt = 9959 )3
175 WRITE( iounit, fmt = 9958 )4
176 WRITE( iounit, fmt = 9957 )5
177 WRITE( iounit, fmt = 9956 )6
178 WRITE( iounit, fmt = 9955 )7
179 WRITE( iounit, fmt = '( '' Messages:'' )' )
180
181 ELSE IF(
lsamen( 2, p2,
'GT' ) )
THEN
182
183
184
185 WRITE( iounit, fmt = 9997 )path
186 WRITE( iounit, fmt = 9977 )
187 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
188 WRITE( iounit, fmt = 9962 )1
189 WRITE( iounit, fmt = 9960 )2
190 WRITE( iounit, fmt = 9959 )3
191 WRITE( iounit, fmt = 9958 )4
192 WRITE( iounit, fmt = 9957 )5
193 WRITE( iounit, fmt = 9956 )6
194 WRITE( iounit, fmt = 9955 )7
195 WRITE( iounit, fmt = '( '' Messages:'' )' )
196
197 ELSE IF(
lsamen( 2, p2,
'PO' ) .OR.
lsamen( 2, p2,
'PP' ) )
THEN
198
199
200
201
202 IF( sord ) THEN
203 sym = 'Symmetric'
204 ELSE
205 sym = 'Hermitian'
206 END IF
207 IF(
lsame( c3,
'O' ) )
THEN
208 WRITE( iounit, fmt = 9996 )path, sym
209 ELSE
210 WRITE( iounit, fmt = 9995 )path, sym
211 END IF
212 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
213 WRITE( iounit, fmt = 9975 )path
214 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
215 WRITE( iounit, fmt = 9954 )1
216 WRITE( iounit, fmt = 9961 )2
217 WRITE( iounit, fmt = 9960 )3
218 WRITE( iounit, fmt = 9959 )4
219 WRITE( iounit, fmt = 9958 )5
220 WRITE( iounit, fmt = 9957 )6
221 WRITE( iounit, fmt = 9956 )7
222 WRITE( iounit, fmt = 9955 )8
223 WRITE( iounit, fmt = '( '' Messages:'' )' )
224
225 ELSE IF(
lsamen( 2, p2,
'PS' ) )
THEN
226
227
228
229 IF( sord ) THEN
230 sym = 'Symmetric'
231 ELSE
232 sym = 'Hermitian'
233 END IF
234 IF(
lsame( c1,
'S' ) .OR.
lsame( c1,
'C' ) )
THEN
235 eigcnm = '1E04'
236 ELSE
237 eigcnm = '1D12'
238 END IF
239 WRITE( iounit, fmt = 9995 )path, sym
240 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
241 WRITE( iounit, fmt = 8973 )eigcnm, eigcnm, eigcnm
242 WRITE( iounit, fmt = '( '' Difference:'' )' )
243 WRITE( iounit, fmt = 8972 )c1
244 WRITE( iounit, fmt = '( '' Test ratio:'' )' )
245 WRITE( iounit, fmt = 8950 )
246 WRITE( iounit, fmt = '( '' Messages:'' )' )
247 ELSE IF(
lsamen( 2, p2,
'PB' ) )
THEN
248
249
250
251 IF( sord ) THEN
252 WRITE( iounit, fmt = 9994 )path, 'Symmetric'
253 ELSE
254 WRITE( iounit, fmt = 9994 )path, 'Hermitian'
255 END IF
256 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
257 WRITE( iounit, fmt = 9973 )path
258 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
259 WRITE( iounit, fmt = 9954 )1
260 WRITE( iounit, fmt = 9960 )2
261 WRITE( iounit, fmt = 9959 )3
262 WRITE( iounit, fmt = 9958 )4
263 WRITE( iounit, fmt = 9957 )5
264 WRITE( iounit, fmt = 9956 )6
265 WRITE( iounit, fmt = 9955 )7
266 WRITE( iounit, fmt = '( '' Messages:'' )' )
267
268 ELSE IF(
lsamen( 2, p2,
'PT' ) )
THEN
269
270
271
272 IF( sord ) THEN
273 WRITE( iounit, fmt = 9993 )path, 'Symmetric'
274 ELSE
275 WRITE( iounit, fmt = 9993 )path, 'Hermitian'
276 END IF
277 WRITE( iounit, fmt = 9976 )
278 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
279 WRITE( iounit, fmt = 9952 )1
280 WRITE( iounit, fmt = 9960 )2
281 WRITE( iounit, fmt = 9959 )3
282 WRITE( iounit, fmt = 9958 )4
283 WRITE( iounit, fmt = 9957 )5
284 WRITE( iounit, fmt = 9956 )6
285 WRITE( iounit, fmt = 9955 )7
286 WRITE( iounit, fmt = '( '' Messages:'' )' )
287
288 ELSE IF(
lsamen( 2, p2,
'SY' ) )
THEN
289
290
291
292
293 IF(
lsame( c3,
'Y' ) )
THEN
294 WRITE( iounit, fmt = 9992 )path, 'Symmetric'
295 ELSE
296 WRITE( iounit, fmt = 9991 )path, 'Symmetric'
297 END IF
298 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
299 IF( sord ) THEN
300 WRITE( iounit, fmt = 9972 )
301 ELSE
302 WRITE( iounit, fmt = 9971 )
303 END IF
304 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
305 WRITE( iounit, fmt = 9953 )1
306 WRITE( iounit, fmt = 9961 )2
307 WRITE( iounit, fmt = 9960 )3
308 WRITE( iounit, fmt = 9960 )4
309 WRITE( iounit, fmt = 9959 )5
310 WRITE( iounit, fmt = 9958 )6
311 WRITE( iounit, fmt = 9956 )7
312 WRITE( iounit, fmt = 9957 )8
313 WRITE( iounit, fmt = 9955 )9
314 WRITE( iounit, fmt = '( '' Messages:'' )' )
315
316 ELSE IF(
lsamen( 2, p2,
'SR' ) .OR.
lsamen( 2, p2,
'SK') )
THEN
317
318
319
320
321
322
323
324
325
326
327 WRITE( iounit, fmt = 9892 )path, 'Symmetric'
328
329 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
330 IF( sord ) THEN
331 WRITE( iounit, fmt = 9972 )
332 ELSE
333 WRITE( iounit, fmt = 9971 )
334 END IF
335
336 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
337 WRITE( iounit, fmt = 9953 )1
338 WRITE( iounit, fmt = 9961 )2
339 WRITE( iounit, fmt = 9927 )3
340 WRITE( iounit, fmt = 9928 )
341 WRITE( iounit, fmt = 9926 )4
342 WRITE( iounit, fmt = 9928 )
343 WRITE( iounit, fmt = 9960 )5
344 WRITE( iounit, fmt = 9959 )6
345 WRITE( iounit, fmt = 9955 )7
346 WRITE( iounit, fmt = '( '' Messages:'' )' )
347
348 ELSE IF(
lsamen( 2, p2,
'SP' ) )
THEN
349
350
351
352
353 IF(
lsame( c3,
'Y' ) )
THEN
354 WRITE( iounit, fmt = 9992 )path, 'Symmetric'
355 ELSE
356 WRITE( iounit, fmt = 9991 )path, 'Symmetric'
357 END IF
358 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
359 IF( sord ) THEN
360 WRITE( iounit, fmt = 9972 )
361 ELSE
362 WRITE( iounit, fmt = 9971 )
363 END IF
364 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
365 WRITE( iounit, fmt = 9953 )1
366 WRITE( iounit, fmt = 9961 )2
367 WRITE( iounit, fmt = 9960 )3
368 WRITE( iounit, fmt = 9959 )4
369 WRITE( iounit, fmt = 9958 )5
370 WRITE( iounit, fmt = 9956 )6
371 WRITE( iounit, fmt = 9957 )7
372 WRITE( iounit, fmt = 9955 )8
373 WRITE( iounit, fmt = '( '' Messages:'' )' )
374
375 ELSE IF(
lsamen( 2, p2,
'HA' ) )
THEN
376
377
378
379
380 WRITE( iounit, fmt = 9992 )path, 'Hermitian'
381
382 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
383 WRITE( iounit, fmt = 9972 )
384
385 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
386 WRITE( iounit, fmt = 9953 )1
387 WRITE( iounit, fmt = 9961 )2
388 WRITE( iounit, fmt = 9960 )3
389 WRITE( iounit, fmt = 9960 )4
390 WRITE( iounit, fmt = 9959 )5
391 WRITE( iounit, fmt = 9958 )6
392 WRITE( iounit, fmt = 9956 )7
393 WRITE( iounit, fmt = 9957 )8
394 WRITE( iounit, fmt = 9955 )9
395 WRITE( iounit, fmt = '( '' Messages:'' )' )
396
397 ELSE IF(
lsamen( 2, p2,
'HE' ) )
THEN
398
399
400
401
402 WRITE( iounit, fmt = 9992 )path, 'Hermitian'
403
404 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
405 WRITE( iounit, fmt = 9972 )
406
407 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
408 WRITE( iounit, fmt = 9953 )1
409 WRITE( iounit, fmt = 9961 )2
410 WRITE( iounit, fmt = 9960 )3
411 WRITE( iounit, fmt = 9960 )4
412 WRITE( iounit, fmt = 9959 )5
413 WRITE( iounit, fmt = 9958 )6
414 WRITE( iounit, fmt = 9956 )7
415 WRITE( iounit, fmt = 9957 )8
416 WRITE( iounit, fmt = 9955 )9
417 WRITE( iounit, fmt = '( '' Messages:'' )' )
418
419 ELSE IF(
lsamen( 2, p2,
'HR' ) .OR.
lsamen( 2, p2,
'HR' ) )
THEN
420
421
422
423
424
425
426
427
428
429
430 WRITE( iounit, fmt = 9892 )path, 'Hermitian'
431
432 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
433 WRITE( iounit, fmt = 9972 )
434
435 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
436 WRITE( iounit, fmt = 9953 )1
437 WRITE( iounit, fmt = 9961 )2
438 WRITE( iounit, fmt = 9927 )3
439 WRITE( iounit, fmt = 9928 )
440 WRITE( iounit, fmt = 9926 )4
441 WRITE( iounit, fmt = 9928 )
442 WRITE( iounit, fmt = 9960 )5
443 WRITE( iounit, fmt = 9959 )6
444 WRITE( iounit, fmt = 9955 )7
445 WRITE( iounit, fmt = '( '' Messages:'' )' )
446
447 ELSE IF(
lsamen( 2, p2,
'HP' ) )
THEN
448
449
450
451
452 IF(
lsame( c3,
'E' ) )
THEN
453 WRITE( iounit, fmt = 9992 )path, 'Hermitian'
454 ELSE
455 WRITE( iounit, fmt = 9991 )path, 'Hermitian'
456 END IF
457 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
458 WRITE( iounit, fmt = 9972 )
459 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
460 WRITE( iounit, fmt = 9953 )1
461 WRITE( iounit, fmt = 9961 )2
462 WRITE( iounit, fmt = 9960 )3
463 WRITE( iounit, fmt = 9959 )4
464 WRITE( iounit, fmt = 9958 )5
465 WRITE( iounit, fmt = 9956 )6
466 WRITE( iounit, fmt = 9957 )7
467 WRITE( iounit, fmt = 9955 )8
468 WRITE( iounit, fmt = '( '' Messages:'' )' )
469
470 ELSE IF(
lsamen( 2, p2,
'TR' ) .OR.
lsamen( 2, p2,
'TP' ) )
THEN
471
472
473
474
475 IF(
lsame( c3,
'R' ) )
THEN
476 WRITE( iounit, fmt = 9990 )path
477 subnam = path( 1: 1 ) // 'LATRS'
478 ELSE
479 WRITE( iounit, fmt = 9989 )path
480 subnam = path( 1: 1 ) // 'LATPS'
481 END IF
482 WRITE( iounit, fmt = 9966 )path
483 WRITE( iounit, fmt = 9965 )subnam(1:len_trim( subnam ))
484 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
485 WRITE( iounit, fmt = 9961 )1
486 WRITE( iounit, fmt = 9960 )2
487 WRITE( iounit, fmt = 9959 )3
488 WRITE( iounit, fmt = 9958 )4
489 WRITE( iounit, fmt = 9957 )5
490 WRITE( iounit, fmt = 9956 )6
491 WRITE( iounit, fmt = 9955 )7
492 WRITE( iounit, fmt = 9951 )subnam(1:len_trim( subnam )), 8
493 WRITE( iounit, fmt = '( '' Messages:'' )' )
494
495 ELSE IF(
lsamen( 2, p2,
'TB' ) )
THEN
496
497
498
499 WRITE( iounit, fmt = 9988 )path
500 subnam = path( 1: 1 ) // 'LATBS'
501 WRITE( iounit, fmt = 9964 )path
502 WRITE( iounit, fmt = 9963 )subnam(1:len_trim( subnam ))
503 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
504 WRITE( iounit, fmt = 9960 )1
505 WRITE( iounit, fmt = 9959 )2
506 WRITE( iounit, fmt = 9958 )3
507 WRITE( iounit, fmt = 9957 )4
508 WRITE( iounit, fmt = 9956 )5
509 WRITE( iounit, fmt = 9955 )6
510 WRITE( iounit, fmt = 9951 )subnam(1:len_trim( subnam )), 7
511 WRITE( iounit, fmt = '( '' Messages:'' )' )
512
513 ELSE IF(
lsamen( 2, p2,
'QR' ) )
THEN
514
515
516
517 WRITE( iounit, fmt = 9987 )path, 'QR'
518 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
519 WRITE( iounit, fmt = 9970 )
520 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
521 WRITE( iounit, fmt = 9950 )1
522 WRITE( iounit, fmt = 6950 )8
523 WRITE( iounit, fmt = 9946 )2
524 WRITE( iounit, fmt = 9944 )3, 'M'
525 WRITE( iounit, fmt = 9943 )4, 'M'
526 WRITE( iounit, fmt = 9942 )5, 'M'
527 WRITE( iounit, fmt = 9941 )6, 'M'
528 WRITE( iounit, fmt = 9960 )7
529 WRITE( iounit, fmt = 6660 )9
530 WRITE( iounit, fmt = '( '' Messages:'' )' )
531
532 ELSE IF(
lsamen( 2, p2,
'LQ' ) )
THEN
533
534
535
536 WRITE( iounit, fmt = 9987 )path, 'LQ'
537 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
538 WRITE( iounit, fmt = 9970 )
539 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
540 WRITE( iounit, fmt = 9949 )1
541 WRITE( iounit, fmt = 9945 )2
542 WRITE( iounit, fmt = 9944 )3, 'N'
543 WRITE( iounit, fmt = 9943 )4, 'N'
544 WRITE( iounit, fmt = 9942 )5, 'N'
545 WRITE( iounit, fmt = 9941 )6, 'N'
546 WRITE( iounit, fmt = 9960 )7
547 WRITE( iounit, fmt = '( '' Messages:'' )' )
548
549 ELSE IF(
lsamen( 2, p2,
'QL' ) )
THEN
550
551
552
553 WRITE( iounit, fmt = 9987 )path, 'QL'
554 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
555 WRITE( iounit, fmt = 9970 )
556 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
557 WRITE( iounit, fmt = 9948 )1
558 WRITE( iounit, fmt = 9946 )2
559 WRITE( iounit, fmt = 9944 )3, 'M'
560 WRITE( iounit, fmt = 9943 )4, 'M'
561 WRITE( iounit, fmt = 9942 )5, 'M'
562 WRITE( iounit, fmt = 9941 )6, 'M'
563 WRITE( iounit, fmt = 9960 )7
564 WRITE( iounit, fmt = '( '' Messages:'' )' )
565
566 ELSE IF(
lsamen( 2, p2,
'RQ' ) )
THEN
567
568
569
570 WRITE( iounit, fmt = 9987 )path, 'RQ'
571 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
572 WRITE( iounit, fmt = 9970 )
573 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
574 WRITE( iounit, fmt = 9947 )1
575 WRITE( iounit, fmt = 9945 )2
576 WRITE( iounit, fmt = 9944 )3, 'N'
577 WRITE( iounit, fmt = 9943 )4, 'N'
578 WRITE( iounit, fmt = 9942 )5, 'N'
579 WRITE( iounit, fmt = 9941 )6, 'N'
580 WRITE( iounit, fmt = 9960 )7
581 WRITE( iounit, fmt = '( '' Messages:'' )' )
582
583 ELSE IF(
lsamen( 2, p2,
'QP' ) )
THEN
584
585
586
587 WRITE( iounit, fmt = 9986 )path
588 WRITE( iounit, fmt = 9969 )
589 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
590 WRITE( iounit, fmt = 9940 )1
591 WRITE( iounit, fmt = 9939 )2
592 WRITE( iounit, fmt = 9938 )3
593 WRITE( iounit, fmt = '( '' Messages:'' )' )
594
595 ELSE IF(
lsamen( 2, p2,
'TZ' ) )
THEN
596
597
598
599 WRITE( iounit, fmt = 9985 )path
600 WRITE( iounit, fmt = 9968 )
601 WRITE( iounit, fmt = 9929 )c1
602 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
603 WRITE( iounit, fmt = 9940 )1
604 WRITE( iounit, fmt = 9937 )2
605 WRITE( iounit, fmt = 9938 )3
606 WRITE( iounit, fmt = '( '' Messages:'' )' )
607
608 ELSE IF(
lsamen( 2, p2,
'LS' ) )
THEN
609
610
611
612
613 WRITE( iounit, fmt = 9984 )path
614 WRITE( iounit, fmt = 9967 )
615 WRITE( iounit, fmt = 9921 )c1, c1, c1, c1
616 WRITE( iounit, fmt = 9935 )1
617 WRITE( iounit, fmt = 9931 )2
618 WRITE( iounit, fmt = 9933 )3
619 WRITE( iounit, fmt = 9935 )4
620 WRITE( iounit, fmt = 9934 )5
621 WRITE( iounit, fmt = 9932 )6
622 WRITE( iounit, fmt = 9920 )
623 WRITE( iounit, fmt = '( '' Messages:'' )' )
624
625 ELSE IF(
lsamen( 2, p2,
'LU' ) )
THEN
626
627
628
629 WRITE( iounit, fmt = 9983 )path
630 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
631 WRITE( iounit, fmt = 9979 )
632 WRITE( iounit, fmt = '( '' Test ratio:'' )' )
633 WRITE( iounit, fmt = 9962 )1
634 WRITE( iounit, fmt = '( '' Messages:'' )' )
635
636 ELSE IF(
lsamen( 2, p2,
'CH' ) )
THEN
637
638
639
640 WRITE( iounit, fmt = 9982 )path
641 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
642 WRITE( iounit, fmt = 9974 )
643 WRITE( iounit, fmt = '( '' Test ratio:'' )' )
644 WRITE( iounit, fmt = 9954 )1
645 WRITE( iounit, fmt = '( '' Messages:'' )' )
646
647 ELSE IF(
lsamen( 2, p2,
'QS' ) )
THEN
648
649
650
651 WRITE( iounit, fmt = 9981 )path
652 WRITE( iounit, fmt = '( '' Matrix types:'' )' )
653 WRITE( iounit, fmt = 9970 )
654 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
655
656 ELSE IF(
lsamen( 2, p2,
'QT' ) )
THEN
657
658
659
660 WRITE( iounit, fmt = 8000 ) path
661 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
662 WRITE( iounit, fmt = 8011 ) 1
663 WRITE( iounit, fmt = 8012 ) 2
664 WRITE( iounit, fmt = 8013 ) 3
665 WRITE( iounit, fmt = 8014 ) 4
666 WRITE( iounit, fmt = 8015 ) 5
667 WRITE( iounit, fmt = 8016 ) 6
668
669 ELSE IF(
lsamen( 2, p2,
'QX' ) )
THEN
670
671
672
673 WRITE( iounit, fmt = 8001 ) path
674 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
675 WRITE( iounit, fmt = 8017 ) 1
676 WRITE( iounit, fmt = 8018 ) 2
677 WRITE( iounit, fmt = 8019 ) 3
678 WRITE( iounit, fmt = 8020 ) 4
679 WRITE( iounit, fmt = 8021 ) 5
680 WRITE( iounit, fmt = 8022 ) 6
681
682 ELSE IF(
lsamen( 2, p2,
'TQ' ) )
THEN
683
684
685
686 WRITE( iounit, fmt = 8002 ) path
687 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
688 WRITE( iounit, fmt = 8023 ) 1
689 WRITE( iounit, fmt = 8024 ) 2
690 WRITE( iounit, fmt = 8025 ) 3
691 WRITE( iounit, fmt = 8026 ) 4
692 WRITE( iounit, fmt = 8027 ) 5
693 WRITE( iounit, fmt = 8028 ) 6
694
695 ELSE IF(
lsamen( 2, p2,
'XQ' ) )
THEN
696
697
698
699 WRITE( iounit, fmt = 8003 ) path
700 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
701 WRITE( iounit, fmt = 8029 ) 1
702 WRITE( iounit, fmt = 8030 ) 2
703 WRITE( iounit, fmt = 8031 ) 3
704 WRITE( iounit, fmt = 8032 ) 4
705 WRITE( iounit, fmt = 8033 ) 5
706 WRITE( iounit, fmt = 8034 ) 6
707
708 ELSE IF(
lsamen( 2, p2,
'TS' ) )
THEN
709
710
711
712 WRITE( iounit, fmt = 8004 ) path
713 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
714 WRITE( iounit, fmt = 8035 ) 1
715 WRITE( iounit, fmt = 8036 ) 2
716 WRITE( iounit, fmt = 8037 ) 3
717 WRITE( iounit, fmt = 8038 ) 4
718 WRITE( iounit, fmt = 8039 ) 5
719 WRITE( iounit, fmt = 8040 ) 6
720
721 ELSE IF(
lsamen( 2, p2,
'HH' ) )
THEN
722
723
724
725 WRITE( iounit, fmt = 8005 ) path
726 WRITE( iounit, fmt = '( '' Test ratios:'' )' )
727 WRITE( iounit, fmt = 8050 ) 1
728 WRITE( iounit, fmt = 8051 ) 2
729 WRITE( iounit, fmt = 8052 ) 3
730 WRITE( iounit, fmt = 8053 ) 4
731 WRITE( iounit, fmt = 8054 ) 5
732 WRITE( iounit, fmt = 8055 ) 6
733
734 ELSE
735
736
737
738 WRITE( iounit, fmt = 9980 )path
739 END IF
740
741
742
743 9999 FORMAT( / 1x, a3, ': General dense matrices' )
744 9998 FORMAT( / 1x, a3, ': General band matrices' )
745 9997 FORMAT( / 1x, a3, ': General tridiagonal' )
746 9996 FORMAT( / 1x, a3, ': ', a9, ' positive definite matrices' )
747 9995 FORMAT( / 1x, a3, ': ', a9, ' positive definite packed matrices'
748 $ )
749 9994 FORMAT( / 1x, a3, ': ', a9, ' positive definite band matrices' )
750 9993 FORMAT( / 1x, a3, ': ', a9, ' positive definite tridiagonal' )
751 9992 FORMAT( / 1x, a3, ': ', a9, ' indefinite matrices',
752 $ ', partial (Bunch-Kaufman) pivoting' )
753 9991 FORMAT( / 1x, a3, ': ', a9, ' indefinite packed matrices',
754 $ ', partial (Bunch-Kaufman) pivoting' )
755 9892 FORMAT( / 1x, a3, ': ', a9, ' indefinite matrices',
756 $ ', "rook" (bounded Bunch-Kaufman) pivoting' )
757 9891 FORMAT( / 1x, a3, ': ', a9, ' indefinite packed matrices',
758 $ ', "rook" (bounded Bunch-Kaufman) pivoting' )
759 9990 FORMAT( / 1x, a3, ': Triangular matrices' )
760 9989 FORMAT( / 1x, a3, ': Triangular packed matrices' )
761 9988 FORMAT( / 1x, a3, ': Triangular band matrices' )
762 9987 FORMAT( / 1x, a3, ': ', a2, ' factorization of general matrices'
763 $ )
764 9986 FORMAT( / 1x, a3, ': QR factorization with column pivoting' )
765 9985 FORMAT( / 1x, a3, ': RQ factorization of trapezoidal matrix' )
766 9984 FORMAT( / 1x, a3, ': Least squares driver routines' )
767 9983 FORMAT( / 1x, a3, ': LU factorization variants' )
768 9982 FORMAT( / 1x, a3, ': Cholesky factorization variants' )
769 9981 FORMAT( / 1x, a3, ': QR factorization variants' )
770 9980 FORMAT( / 1x, a3, ': No header available' )
771 8000 FORMAT( / 1x, a3, ': QRT factorization for general matrices' )
772 8001 FORMAT( / 1x, a3, ': QRT factorization for ',
773 $ 'triangular-pentagonal matrices' )
774 8002 FORMAT( / 1x, a3, ': LQT factorization for general matrices' )
775 8003 FORMAT( / 1x, a3, ': LQT factorization for ',
776 $ 'triangular-pentagonal matrices' )
777 8004 FORMAT( / 1x, a3, ': TS factorization for ',
778 $ 'tall-skinny or short-wide matrices' )
779 8005 FORMAT( / 1x, a3, ': Householder recostruction from TSQR',
780 $ ' factorization output ', /,' for tall-skinny matrices.' )
781
782
783
784 9979 FORMAT( 4x, '1. Diagonal', 24x, '7. Last n/2 columns zero', / 4x,
785 $ '2. Upper triangular', 16x,
786 $ '8. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
787 $ '3. Lower triangular', 16x, '9. Random, CNDNUM = 0.1/EPS',
788 $ / 4x, '4. Random, CNDNUM = 2', 13x,
789 $ '10. Scaled near underflow', / 4x, '5. First column zero',
790 $ 14x, '11. Scaled near overflow', / 4x,
791 $ '6. Last column zero' )
792
793
794
795 9978 FORMAT( 4x, '1. Random, CNDNUM = 2', 14x,
796 $ '5. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
797 $ '2. First column zero', 15x, '6. Random, CNDNUM = .01/EPS',
798 $ / 4x, '3. Last column zero', 16x,
799 $ '7. Scaled near underflow', / 4x,
800 $ '4. Last n/2 columns zero', 11x, '8. Scaled near overflow' )
801
802
803
804 9977 FORMAT( ' Matrix types (1-6 have specified condition numbers):',
805 $ / 4x, '1. Diagonal', 24x, '7. Random, unspecified CNDNUM',
806 $ / 4x, '2. Random, CNDNUM = 2', 14x, '8. First column zero',
807 $ / 4x, '3. Random, CNDNUM = sqrt(0.1/EPS)', 2x,
808 $ '9. Last column zero', / 4x, '4. Random, CNDNUM = 0.1/EPS',
809 $ 7x, '10. Last n/2 columns zero', / 4x,
810 $ '5. Scaled near underflow', 10x,
811 $ '11. Scaled near underflow', / 4x,
812 $ '6. Scaled near overflow', 11x, '12. Scaled near overflow' )
813
814
815
816 9976 FORMAT( ' Matrix types (1-6 have specified condition numbers):',
817 $ / 4x, '1. Diagonal', 24x, '7. Random, unspecified CNDNUM',
818 $ / 4x, '2. Random, CNDNUM = 2', 14x,
819 $ '8. First row and column zero', / 4x,
820 $ '3. Random, CNDNUM = sqrt(0.1/EPS)', 2x,
821 $ '9. Last row and column zero', / 4x,
822 $ '4. Random, CNDNUM = 0.1/EPS', 7x,
823 $ '10. Middle row and column zero', / 4x,
824 $ '5. Scaled near underflow', 10x,
825 $ '11. Scaled near underflow', / 4x,
826 $ '6. Scaled near overflow', 11x, '12. Scaled near overflow' )
827
828
829
830 9975 FORMAT( 4x, '1. Diagonal', 24x,
831 $ '6. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
832 $ '2. Random, CNDNUM = 2', 14x, '7. Random, CNDNUM = 0.1/EPS',
833 $ / 3x, '*3. First row and column zero', 7x,
834 $ '8. Scaled near underflow', / 3x,
835 $ '*4. Last row and column zero', 8x,
836 $ '9. Scaled near overflow', / 3x,
837 $ '*5. Middle row and column zero', / 3x,
838 $ '(* - tests error exits from ', a3,
839 $ 'TRF, no test ratios are computed)' )
840
841
842
843 9974 FORMAT( 4x, '1. Diagonal', 24x,
844 $ '6. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
845 $ '2. Random, CNDNUM = 2', 14x, '7. Random, CNDNUM = 0.1/EPS',
846 $ / 3x, '*3. First row and column zero', 7x,
847 $ '8. Scaled near underflow', / 3x,
848 $ '*4. Last row and column zero', 8x,
849 $ '9. Scaled near overflow', / 3x,
850 $ '*5. Middle row and column zero', / 3x,
851 $ '(* - tests error exits, no test ratios are computed)' )
852
853
854
855 8973 FORMAT( 4x, '1. Diagonal', / 4x, '2. Random, CNDNUM = 2', 14x,
856 $ / 3x, '*3. Nonzero eigenvalues of: D(1:RANK-1)=1 and ',
857 $ 'D(RANK) = 1.0/', a4, / 3x,
858 $ '*4. Nonzero eigenvalues of: D(1)=1 and ',
859 $ ' D(2:RANK) = 1.0/', a4, / 3x,
860 $ '*5. Nonzero eigenvalues of: D(I) = ', a4,
861 $ '**(-(I-1)/(RANK-1)) ', ' I=1:RANK', / 4x,
862 $ '6. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
863 $ '7. Random, CNDNUM = 0.1/EPS', / 4x,
864 $ '8. Scaled near underflow', / 4x, '9. Scaled near overflow',
865 $ / 3x, '(* - Semi-definite tests )' )
866 8972 FORMAT( 3x, 'RANK minus computed rank, returned by ', a, 'PSTRF' )
867
868
869
870 9973 FORMAT( 4x, '1. Random, CNDNUM = 2', 14x,
871 $ '5. Random, CNDNUM = sqrt(0.1/EPS)', / 3x,
872 $ '*2. First row and column zero', 7x,
873 $ '6. Random, CNDNUM = 0.1/EPS', / 3x,
874 $ '*3. Last row and column zero', 8x,
875 $ '7. Scaled near underflow', / 3x,
876 $ '*4. Middle row and column zero', 6x,
877 $ '8. Scaled near overflow', / 3x,
878 $ '(* - tests error exits from ', a3,
879 $ 'TRF, no test ratios are computed)' )
880
881
882
883 9972 FORMAT( 4x, '1. Diagonal', 24x,
884 $ '6. Last n/2 rows and columns zero', / 4x,
885 $ '2. Random, CNDNUM = 2', 14x,
886 $ '7. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
887 $ '3. First row and column zero', 7x,
888 $ '8. Random, CNDNUM = 0.1/EPS', / 4x,
889 $ '4. Last row and column zero', 8x,
890 $ '9. Scaled near underflow', / 4x,
891 $ '5. Middle row and column zero', 5x,
892 $ '10. Scaled near overflow' )
893
894
895
896 9971 FORMAT( 4x, '1. Diagonal', 24x,
897 $ '7. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
898 $ '2. Random, CNDNUM = 2', 14x, '8. Random, CNDNUM = 0.1/EPS',
899 $ / 4x, '3. First row and column zero', 7x,
900 $ '9. Scaled near underflow', / 4x,
901 $ '4. Last row and column zero', 7x,
902 $ '10. Scaled near overflow', / 4x,
903 $ '5. Middle row and column zero', 5x,
904 $ '11. Block diagonal matrix', / 4x,
905 $ '6. Last n/2 rows and columns zero' )
906
907
908
909 9970 FORMAT( 4x, '1. Diagonal', 24x,
910 $ '5. Random, CNDNUM = sqrt(0.1/EPS)', / 4x,
911 $ '2. Upper triangular', 16x, '6. Random, CNDNUM = 0.1/EPS',
912 $ / 4x, '3. Lower triangular', 16x,
913 $ '7. Scaled near underflow', / 4x, '4. Random, CNDNUM = 2',
914 $ 14x, '8. Scaled near overflow' )
915
916
917
918 9969 FORMAT( ' Matrix types (2-6 have condition 1/EPS):', / 4x,
919 $ '1. Zero matrix', 21x, '4. First n/2 columns fixed', / 4x,
920 $ '2. One small eigenvalue', 12x, '5. Last n/2 columns fixed',
921 $ / 4x, '3. Geometric distribution', 10x,
922 $ '6. Every second column fixed' )
923
924
925
926 9968 FORMAT( ' Matrix types (2-3 have condition 1/EPS):', / 4x,
927 $ '1. Zero matrix', / 4x, '2. One small eigenvalue', / 4x,
928 $ '3. Geometric distribution' )
929
930
931
932 9967 FORMAT( ' Matrix types (1-3: full rank, 4-6: rank deficient):',
933 $ / 4x, '1 and 4. Normal scaling', / 4x,
934 $ '2 and 5. Scaled near overflow', / 4x,
935 $ '3 and 6. Scaled near underflow' )
936
937
938
939 9966 FORMAT( ' Matrix types for ', a3, ' routines:', / 4x,
940 $ '1. Diagonal', 24x, '6. Scaled near overflow', / 4x,
941 $ '2. Random, CNDNUM = 2', 14x, '7. Identity', / 4x,
942 $ '3. Random, CNDNUM = sqrt(0.1/EPS) ',
943 $ '8. Unit triangular, CNDNUM = 2', / 4x,
944 $ '4. Random, CNDNUM = 0.1/EPS', 8x,
945 $ '9. Unit, CNDNUM = sqrt(0.1/EPS)', / 4x,
946 $ '5. Scaled near underflow', 10x,
947 $ '10. Unit, CNDNUM = 0.1/EPS' )
948 9965 FORMAT( ' Special types for testing ', a, ':', / 3x,
949 $ '11. Matrix elements are O(1), large right hand side', / 3x,
950 $ '12. First diagonal causes overflow,',
951 $ ' offdiagonal column norms < 1', / 3x,
952 $ '13. First diagonal causes overflow,',
953 $ ' offdiagonal column norms > 1', / 3x,
954 $ '14. Growth factor underflows, solution does not overflow',
955 $ / 3x, '15. Small diagonal causes gradual overflow', / 3x,
956 $ '16. One zero diagonal element', / 3x,
957 $ '17. Large offdiagonals cause overflow when adding a column'
958 $ , / 3x, '18. Unit triangular with large right hand side' )
959
960
961
962 9964 FORMAT( ' Matrix types for ', a3, ' routines:', / 4x,
963 $ '1. Random, CNDNUM = 2', 14x, '6. Identity', / 4x,
964 $ '2. Random, CNDNUM = sqrt(0.1/EPS) ',
965 $ '7. Unit triangular, CNDNUM = 2', / 4x,
966 $ '3. Random, CNDNUM = 0.1/EPS', 8x,
967 $ '8. Unit, CNDNUM = sqrt(0.1/EPS)', / 4x,
968 $ '4. Scaled near underflow', 11x,
969 $ '9. Unit, CNDNUM = 0.1/EPS', / 4x,
970 $ '5. Scaled near overflow' )
971 9963 FORMAT( ' Special types for testing ', a, ':', / 3x,
972 $ '10. Matrix elements are O(1), large right hand side', / 3x,
973 $ '11. First diagonal causes overflow,',
974 $ ' offdiagonal column norms < 1', / 3x,
975 $ '12. First diagonal causes overflow,',
976 $ ' offdiagonal column norms > 1', / 3x,
977 $ '13. Growth factor underflows, solution does not overflow',
978 $ / 3x, '14. Small diagonal causes gradual overflow', / 3x,
979 $ '15. One zero diagonal element', / 3x,
980 $ '16. Large offdiagonals cause overflow when adding a column'
981 $ , / 3x, '17. Unit triangular with large right hand side' )
982
983
984
985 9962 FORMAT( 3x, i2, ': norm( L * U - A ) / ( N * norm(A) * EPS )' )
986 9961 FORMAT( 3x, i2, ': norm( I - A*AINV ) / ',
987 $ '( N * norm(A) * norm(AINV) * EPS )' )
988 9960 FORMAT( 3x, i2, ': norm( B - A * X ) / ',
989 $ '( norm(A) * norm(X) * EPS )' )
990 6660 FORMAT( 3x, i2, ': diagonal is not non-negative')
991 9959 FORMAT( 3x, i2, ': norm( X - XACT ) / ',
992 $ '( norm(XACT) * CNDNUM * EPS )' )
993 9958 FORMAT( 3x, i2, ': norm( X - XACT ) / ',
994 $ '( norm(XACT) * CNDNUM * EPS ), refined' )
995 9957 FORMAT( 3x, i2, ': norm( X - XACT ) / ',
996 $ '( norm(XACT) * (error bound) )' )
997 9956 FORMAT( 3x, i2, ': (backward error) / EPS' )
998 9955 FORMAT( 3x, i2, ': RCOND * CNDNUM - 1.0' )
999 9954 FORMAT( 3x, i2, ': norm( U'' * U - A ) / ( N * norm(A) * EPS )',
1000 $ ', or', / 7x, 'norm( L * L'' - A ) / ( N * norm(A) * EPS )'
1001 $ )
1002 8950 FORMAT( 3x,
1003 $ 'norm( P * U'' * U * P'' - A ) / ( N * norm(A) * EPS )',
1004 $ ', or', / 3x,
1005 $ 'norm( P * L * L'' * P'' - A ) / ( N * norm(A) * EPS )' )
1006 9953 FORMAT( 3x, i2, ': norm( U*D*U'' - A ) / ( N * norm(A) * EPS )',
1007 $ ', or', / 7x, 'norm( L*D*L'' - A ) / ( N * norm(A) * EPS )'
1008 $ )
1009 9952 FORMAT( 3x, i2, ': norm( U''*D*U - A ) / ( N * norm(A) * EPS )',
1010 $ ', or', / 7x, 'norm( L*D*L'' - A ) / ( N * norm(A) * EPS )'
1011 $ )
1012 9951 FORMAT( ' Test ratio for ', a, ':', / 3x, i2,
1013 $ ': norm( s*b - A*x ) / ( norm(A) * norm(x) * EPS )' )
1014 9950 FORMAT( 3x, i2, ': norm( R - Q'' * A ) / ( M * norm(A) * EPS )' )
1015 6950 FORMAT( 3x, i2, ': norm( R - Q'' * A ) / ( M * norm(A) * EPS )
1016 $ [RFPG]' )
1017 9949 FORMAT( 3x, i2, ': norm( L - A * Q'' ) / ( N * norm(A) * EPS )' )
1018 9948 FORMAT( 3x, i2, ': norm( L - Q'' * A ) / ( M * norm(A) * EPS )' )
1019 9947 FORMAT( 3x, i2, ': norm( R - A * Q'' ) / ( N * norm(A) * EPS )' )
1020 9946 FORMAT( 3x, i2, ': norm( I - Q''*Q ) / ( M * EPS )' )
1021 9945 FORMAT( 3x, i2, ': norm( I - Q*Q'' ) / ( N * EPS )' )
1022 9944 FORMAT( 3x, i2, ': norm( Q*C - Q*C ) / ', '( ', a1,
1023 $ ' * norm(C) * EPS )' )
1024 9943 FORMAT( 3x, i2, ': norm( C*Q - C*Q ) / ', '( ', a1,
1025 $ ' * norm(C) * EPS )' )
1026 9942 FORMAT( 3x, i2, ': norm( Q''*C - Q''*C )/ ', '( ', a1,
1027 $ ' * norm(C) * EPS )' )
1028 9941 FORMAT( 3x, i2, ': norm( C*Q'' - C*Q'' )/ ', '( ', a1,
1029 $ ' * norm(C) * EPS )' )
1030 9940 FORMAT( 3x, i2, ': norm(svd(A) - svd(R)) / ',
1031 $ '( M * norm(svd(R)) * EPS )' )
1032 9939 FORMAT( 3x, i2, ': norm( A*P - Q*R ) / ( M * norm(A) * EPS )'
1033 $ )
1034 9938 FORMAT( 3x, i2, ': norm( I - Q''*Q ) / ( M * EPS )' )
1035 9937 FORMAT( 3x, i2, ': norm( A - R*Q ) / ( M * norm(A) * EPS )'
1036 $ )
1037 9935 FORMAT( 3x, i2, ': norm( B - A * X ) / ',
1038 $ '( max(M,N) * norm(A) * norm(X) * EPS )' )
1039 9934 FORMAT( 3x, i2, ': norm( (A*X-B)'' *A ) / ',
1040 $ '( max(M,N,NRHS) * norm(A) * norm(B) * EPS )' )
1041 9933 FORMAT( 3x, i2, ': norm(svd(A)-svd(R)) / ',
1042 $ '( min(M,N) * norm(svd(R)) * EPS )' )
1043 9932 FORMAT( 3x, i2, ': Check if X is in the row space of A or A''' )
1044 9931 FORMAT( 3x, i2, ': norm( (A*X-B)'' *A ) / ',
1045 $ '( max(M,N,NRHS) * norm(A) * norm(B) * EPS )', / 7x,
1046 $ 'if TRANS=''N'.GE.' and MN or TRANS=''T'.LT.' and MN, ',
1047 $ 'otherwise', / 7x,
1048 $ 'check if X is in the row space of A or A'' ',
1049 $ '(overdetermined case)' )
1050 9929 FORMAT( ' Test ratios (1-3: ', a1, 'TZRZF):' )
1051 9920 FORMAT( 3x, ' 7-10: same as 3-6', 3x, ' 11-14: same as 3-6' )
1052 9921 FORMAT( ' Test ratios:', / ' (1-2: ', a1, 'GELS, 3-6: ', a1,
1053 $ 'GELSY, 7-10: ', a1, 'GELSS, 11-14: ', a1, 'GELSD, 15-16: ',
1054 $ a1, 'GETSLS)')
1055 9928 FORMAT( 7x, 'where ALPHA = ( 1 + SQRT( 17 ) ) / 8' )
1056 9927 FORMAT( 3x, i2, ': ABS( Largest element in L )', / 12x,
1057 $ ' - ( 1 / ( 1 - ALPHA ) ) + THRESH' )
1058 9926 FORMAT( 3x, i2, ': Largest 2-Norm of 2-by-2 pivots', / 12x,
1059 $ ' - ( ( 1 + ALPHA ) / ( 1 - ALPHA ) ) + THRESH' )
1060 8011 FORMAT(3x,i2,': norm( R - Q''*A ) / ( M * norm(A) * EPS )' )
1061 8012 FORMAT(3x,i2,': norm( I - Q''*Q ) / ( M * EPS )' )
1062 8013 FORMAT(3x,i2,': norm( Q*C - Q*C ) / ( M * norm(C) * EPS )' )
1063 8014 FORMAT(3x,i2,': norm( Q''*C - Q''*C ) / ( M * norm(C) * EPS )')
1064 8015 FORMAT(3x,i2,': norm( C*Q - C*Q ) / ( M * norm(C) * EPS )' )
1065 8016 FORMAT(3x,i2,': norm( C*Q'' - C*Q'' ) / ( M * norm(C) * EPS )')
1066 8017 FORMAT(3x,i2,': norm( R - Q''*A ) / ( (M+N) * norm(A) * EPS )' )
1067 8018 FORMAT(3x,i2,': norm( I - Q''*Q ) / ( (M+N) * EPS )' )
1068 8019 FORMAT(3x,i2,': norm( Q*C - Q*C ) / ( (M+N) * norm(C) * EPS )' )
1069 8020 FORMAT(3x,i2,
1070 $ ': norm( Q''*C - Q''*C ) / ( (M+N) * norm(C) * EPS )')
1071 8021 FORMAT(3x,i2,': norm( C*Q - C*Q ) / ( (M+N) * norm(C) * EPS )' )
1072 8022 FORMAT(3x,i2,
1073 $ ': norm( C*Q'' - C*Q'' ) / ( (M+N) * norm(C) * EPS )')
1074 8023 FORMAT(3x,i2,': norm( L - A*Q'' ) / ( (M+N) * norm(A) * EPS )' )
1075 8024 FORMAT(3x,i2,': norm( I - Q*Q'' ) / ( (M+N) * EPS )' )
1076 8025 FORMAT(3x,i2,': norm( Q*C - Q*C ) / ( (M+N) * norm(C) * EPS )' )
1077 8026 FORMAT(3x,i2,
1078 $ ': norm( Q''*C - Q''*C ) / ( (M+N) * norm(C) * EPS )')
1079 8027 FORMAT(3x,i2,': norm( C*Q - C*Q ) / ( (M+N) * norm(C) * EPS )' )
1080 8028 FORMAT(3x,i2,
1081 $ ': norm( C*Q'' - C*Q'' ) / ( (M+N) * norm(C) * EPS )')
1082 8029 FORMAT(3x,i2,': norm( L - A*Q'' ) / ( (M+N) * norm(A) * EPS )' )
1083 8030 FORMAT(3x,i2,': norm( I - Q*Q'' ) / ( (M+N) * EPS )' )
1084 8031 FORMAT(3x,i2,': norm( Q*C - Q*C ) / ( (M+N) * norm(C) * EPS )' )
1085 8032 FORMAT(3x,i2,
1086 $ ': norm( Q''*C - Q''*C ) / ( (M+N) * norm(C) * EPS )')
1087 8033 FORMAT(3x,i2,': norm( C*Q - C*Q ) / ( (M+N) * norm(C) * EPS )' )
1088 8034 FORMAT(3x,i2,
1089 $ ': norm( C*Q'' - C*Q'' ) / ( (M+N) * norm(C) * EPS )')
1090 8035 FORMAT(3x,i2,': norm( R - Q''*A ) / ( (M+N) * norm(A) * EPS )' )
1091 8036 FORMAT(3x,i2,': norm( I - Q''*Q ) / ( (M+N) * EPS )' )
1092 8037 FORMAT(3x,i2,': norm( Q*C - Q*C ) / ( (M+N) * norm(C) * EPS )' )
1093 8038 FORMAT(3x,i2,
1094 $ ': norm( Q''*C - Q''*C ) / ( (M+N) * norm(C) * EPS )')
1095 8039 FORMAT(3x,i2,': norm( C*Q - C*Q ) / ( (M+N) * norm(C) * EPS )' )
1096 8040 FORMAT(3x,i2,
1097 $ ': norm( C*Q'' - C*Q'' ) / ( (M+N) * norm(C) * EPS )')
1098
1099 8050 FORMAT(3x,i2,': norm( R - Q''*A ) / ( M * norm(A) * EPS )' )
1100 8051 FORMAT(3x,i2,': norm( I - Q''*Q ) / ( M * EPS )' )
1101 8052 FORMAT(3x,i2,': norm( Q*C - Q*C ) / ( M * norm(C) * EPS )' )
1102 8053 FORMAT(3x,i2,': norm( Q''*C - Q''*C ) / ( M * norm(C) * EPS )')
1103 8054 FORMAT(3x,i2,': norm( C*Q - C*Q ) / ( M * norm(C) * EPS )' )
1104 8055 FORMAT(3x,i2,': norm( C*Q'' - C*Q'' ) / ( M * norm(C) * EPS )')
1105
1106
1107 RETURN
1108
1109
1110