LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ sdrvgb()

subroutine sdrvgb ( logical, dimension( * )  dotype,
integer  nn,
integer, dimension( * )  nval,
integer  nrhs,
real  thresh,
logical  tsterr,
real, dimension( * )  a,
integer  la,
real, dimension( * )  afb,
integer  lafb,
real, dimension( * )  asav,
real, dimension( * )  b,
real, dimension( * )  bsav,
real, dimension( * )  x,
real, dimension( * )  xact,
real, dimension( * )  s,
real, dimension( * )  work,
real, dimension( * )  rwork,
integer, dimension( * )  iwork,
integer  nout 
)

SDRVGB

Purpose:
 SDRVGB tests the driver routines SGBSV and -SVX.
Parameters
[in]DOTYPE
          DOTYPE is LOGICAL array, dimension (NTYPES)
          The matrix types to be used for testing.  Matrices of type j
          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
[in]NN
          NN is INTEGER
          The number of values of N contained in the vector NVAL.
[in]NVAL
          NVAL is INTEGER array, dimension (NN)
          The values of the matrix column dimension N.
[in]NRHS
          NRHS is INTEGER
          The number of right hand side vectors to be generated for
          each linear system.
[in]THRESH
          THRESH is REAL
          The threshold value for the test ratios.  A result is
          included in the output file if RESULT >= THRESH.  To have
          every test ratio printed, use THRESH = 0.
[in]TSTERR
          TSTERR is LOGICAL
          Flag that indicates whether error exits are to be tested.
[out]A
          A is REAL array, dimension (LA)
[in]LA
          LA is INTEGER
          The length of the array A.  LA >= (2*NMAX-1)*NMAX
          where NMAX is the largest entry in NVAL.
[out]AFB
          AFB is REAL array, dimension (LAFB)
[in]LAFB
          LAFB is INTEGER
          The length of the array AFB.  LAFB >= (3*NMAX-2)*NMAX
          where NMAX is the largest entry in NVAL.
[out]ASAV
          ASAV is REAL array, dimension (LA)
[out]B
          B is REAL array, dimension (NMAX*NRHS)
[out]BSAV
          BSAV is REAL array, dimension (NMAX*NRHS)
[out]X
          X is REAL array, dimension (NMAX*NRHS)
[out]XACT
          XACT is REAL array, dimension (NMAX*NRHS)
[out]S
          S is REAL array, dimension (2*NMAX)
[out]WORK
          WORK is REAL array, dimension
                      (NMAX*max(3,NRHS,NMAX))
[out]RWORK
          RWORK is REAL array, dimension
                      (NMAX+2*NRHS)
[out]IWORK
          IWORK is INTEGER array, dimension (2*NMAX)
[in]NOUT
          NOUT is INTEGER
          The unit number for output.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 169 of file sdrvgb.f.

172*
173* -- LAPACK test routine --
174* -- LAPACK is a software package provided by Univ. of Tennessee, --
175* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
176*
177* .. Scalar Arguments ..
178 LOGICAL TSTERR
179 INTEGER LA, LAFB, NN, NOUT, NRHS
180 REAL THRESH
181* ..
182* .. Array Arguments ..
183 LOGICAL DOTYPE( * )
184 INTEGER IWORK( * ), NVAL( * )
185 REAL A( * ), AFB( * ), ASAV( * ), B( * ), BSAV( * ),
186 $ RWORK( * ), S( * ), WORK( * ), X( * ),
187 $ XACT( * )
188* ..
189*
190* =====================================================================
191*
192* .. Parameters ..
193 REAL ONE, ZERO
194 parameter( one = 1.0e+0, zero = 0.0e+0 )
195 INTEGER NTYPES
196 parameter( ntypes = 8 )
197 INTEGER NTESTS
198 parameter( ntests = 7 )
199 INTEGER NTRAN
200 parameter( ntran = 3 )
201* ..
202* .. Local Scalars ..
203 LOGICAL EQUIL, NOFACT, PREFAC, TRFCON, ZEROT
204 CHARACTER DIST, EQUED, FACT, TRANS, TYPE, XTYPE
205 CHARACTER*3 PATH
206 INTEGER I, I1, I2, IEQUED, IFACT, IKL, IKU, IMAT, IN,
207 $ INFO, IOFF, ITRAN, IZERO, J, K, K1, KL, KU,
208 $ LDA, LDAFB, LDB, MODE, N, NB, NBMIN, NERRS,
209 $ NFACT, NFAIL, NIMAT, NKL, NKU, NRUN, NT
210 REAL AINVNM, AMAX, ANORM, ANORMI, ANORMO, ANRMPV,
211 $ CNDNUM, COLCND, RCOND, RCONDC, RCONDI, RCONDO,
212 $ ROLDC, ROLDI, ROLDO, ROWCND, RPVGRW
213* ..
214* .. Local Arrays ..
215 CHARACTER EQUEDS( 4 ), FACTS( 3 ), TRANSS( NTRAN )
216 INTEGER ISEED( 4 ), ISEEDY( 4 )
217 REAL RESULT( NTESTS )
218* ..
219* .. External Functions ..
220 LOGICAL LSAME
221 REAL SGET06, SLAMCH, SLANGB, SLANGE, SLANTB
222 EXTERNAL lsame, sget06, slamch, slangb, slange, slantb
223* ..
224* .. External Subroutines ..
225 EXTERNAL aladhd, alaerh, alasvm, serrvx, sgbequ, sgbsv,
226 $ sgbsvx, sgbt01, sgbt02, sgbt05, sgbtrf, sgbtrs,
227 $ sget04, slacpy, slaqgb, slarhs, slaset, slatb4,
228 $ slatms, xlaenv
229* ..
230* .. Intrinsic Functions ..
231 INTRINSIC abs, max, min
232* ..
233* .. Scalars in Common ..
234 LOGICAL LERR, OK
235 CHARACTER*32 SRNAMT
236 INTEGER INFOT, NUNIT
237* ..
238* .. Common blocks ..
239 COMMON / infoc / infot, nunit, ok, lerr
240 COMMON / srnamc / srnamt
241* ..
242* .. Data statements ..
243 DATA iseedy / 1988, 1989, 1990, 1991 /
244 DATA transs / 'N', 'T', 'C' /
245 DATA facts / 'F', 'N', 'E' /
246 DATA equeds / 'N', 'R', 'C', 'B' /
247* ..
248* .. Executable Statements ..
249*
250* Initialize constants and the random number seed.
251*
252 path( 1: 1 ) = 'Single precision'
253 path( 2: 3 ) = 'GB'
254 nrun = 0
255 nfail = 0
256 nerrs = 0
257 DO 10 i = 1, 4
258 iseed( i ) = iseedy( i )
259 10 CONTINUE
260*
261* Test the error exits
262*
263 IF( tsterr )
264 $ CALL serrvx( path, nout )
265 infot = 0
266*
267* Set the block size and minimum block size for testing.
268*
269 nb = 1
270 nbmin = 2
271 CALL xlaenv( 1, nb )
272 CALL xlaenv( 2, nbmin )
273*
274* Do for each value of N in NVAL
275*
276 DO 150 in = 1, nn
277 n = nval( in )
278 ldb = max( n, 1 )
279 xtype = 'N'
280*
281* Set limits on the number of loop iterations.
282*
283 nkl = max( 1, min( n, 4 ) )
284 IF( n.EQ.0 )
285 $ nkl = 1
286 nku = nkl
287 nimat = ntypes
288 IF( n.LE.0 )
289 $ nimat = 1
290*
291 DO 140 ikl = 1, nkl
292*
293* Do for KL = 0, N-1, (3N-1)/4, and (N+1)/4. This order makes
294* it easier to skip redundant values for small values of N.
295*
296 IF( ikl.EQ.1 ) THEN
297 kl = 0
298 ELSE IF( ikl.EQ.2 ) THEN
299 kl = max( n-1, 0 )
300 ELSE IF( ikl.EQ.3 ) THEN
301 kl = ( 3*n-1 ) / 4
302 ELSE IF( ikl.EQ.4 ) THEN
303 kl = ( n+1 ) / 4
304 END IF
305 DO 130 iku = 1, nku
306*
307* Do for KU = 0, N-1, (3N-1)/4, and (N+1)/4. This order
308* makes it easier to skip redundant values for small
309* values of N.
310*
311 IF( iku.EQ.1 ) THEN
312 ku = 0
313 ELSE IF( iku.EQ.2 ) THEN
314 ku = max( n-1, 0 )
315 ELSE IF( iku.EQ.3 ) THEN
316 ku = ( 3*n-1 ) / 4
317 ELSE IF( iku.EQ.4 ) THEN
318 ku = ( n+1 ) / 4
319 END IF
320*
321* Check that A and AFB are big enough to generate this
322* matrix.
323*
324 lda = kl + ku + 1
325 ldafb = 2*kl + ku + 1
326 IF( lda*n.GT.la .OR. ldafb*n.GT.lafb ) THEN
327 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
328 $ CALL aladhd( nout, path )
329 IF( lda*n.GT.la ) THEN
330 WRITE( nout, fmt = 9999 )la, n, kl, ku,
331 $ n*( kl+ku+1 )
332 nerrs = nerrs + 1
333 END IF
334 IF( ldafb*n.GT.lafb ) THEN
335 WRITE( nout, fmt = 9998 )lafb, n, kl, ku,
336 $ n*( 2*kl+ku+1 )
337 nerrs = nerrs + 1
338 END IF
339 GO TO 130
340 END IF
341*
342 DO 120 imat = 1, nimat
343*
344* Do the tests only if DOTYPE( IMAT ) is true.
345*
346 IF( .NOT.dotype( imat ) )
347 $ GO TO 120
348*
349* Skip types 2, 3, or 4 if the matrix is too small.
350*
351 zerot = imat.GE.2 .AND. imat.LE.4
352 IF( zerot .AND. n.LT.imat-1 )
353 $ GO TO 120
354*
355* Set up parameters with SLATB4 and generate a
356* test matrix with SLATMS.
357*
358 CALL slatb4( path, imat, n, n, TYPE, KL, KU, ANORM,
359 $ MODE, CNDNUM, DIST )
360 rcondc = one / cndnum
361*
362 srnamt = 'SLATMS'
363 CALL slatms( n, n, dist, iseed, TYPE, RWORK, MODE,
364 $ CNDNUM, ANORM, KL, KU, 'Z', A, LDA, WORK,
365 $ INFO )
366*
367* Check the error code from SLATMS.
368*
369 IF( info.NE.0 ) THEN
370 CALL alaerh( path, 'SLATMS', info, 0, ' ', n, n,
371 $ kl, ku, -1, imat, nfail, nerrs, nout )
372 GO TO 120
373 END IF
374*
375* For types 2, 3, and 4, zero one or more columns of
376* the matrix to test that INFO is returned correctly.
377*
378 izero = 0
379 IF( zerot ) THEN
380 IF( imat.EQ.2 ) THEN
381 izero = 1
382 ELSE IF( imat.EQ.3 ) THEN
383 izero = n
384 ELSE
385 izero = n / 2 + 1
386 END IF
387 ioff = ( izero-1 )*lda
388 IF( imat.LT.4 ) THEN
389 i1 = max( 1, ku+2-izero )
390 i2 = min( kl+ku+1, ku+1+( n-izero ) )
391 DO 20 i = i1, i2
392 a( ioff+i ) = zero
393 20 CONTINUE
394 ELSE
395 DO 40 j = izero, n
396 DO 30 i = max( 1, ku+2-j ),
397 $ min( kl+ku+1, ku+1+( n-j ) )
398 a( ioff+i ) = zero
399 30 CONTINUE
400 ioff = ioff + lda
401 40 CONTINUE
402 END IF
403 END IF
404*
405* Save a copy of the matrix A in ASAV.
406*
407 CALL slacpy( 'Full', kl+ku+1, n, a, lda, asav, lda )
408*
409 DO 110 iequed = 1, 4
410 equed = equeds( iequed )
411 IF( iequed.EQ.1 ) THEN
412 nfact = 3
413 ELSE
414 nfact = 1
415 END IF
416*
417 DO 100 ifact = 1, nfact
418 fact = facts( ifact )
419 prefac = lsame( fact, 'F' )
420 nofact = lsame( fact, 'N' )
421 equil = lsame( fact, 'E' )
422*
423 IF( zerot ) THEN
424 IF( prefac )
425 $ GO TO 100
426 rcondo = zero
427 rcondi = zero
428*
429 ELSE IF( .NOT.nofact ) THEN
430*
431* Compute the condition number for comparison
432* with the value returned by SGESVX (FACT =
433* 'N' reuses the condition number from the
434* previous iteration with FACT = 'F').
435*
436 CALL slacpy( 'Full', kl+ku+1, n, asav, lda,
437 $ afb( kl+1 ), ldafb )
438 IF( equil .OR. iequed.GT.1 ) THEN
439*
440* Compute row and column scale factors to
441* equilibrate the matrix A.
442*
443 CALL sgbequ( n, n, kl, ku, afb( kl+1 ),
444 $ ldafb, s, s( n+1 ), rowcnd,
445 $ colcnd, amax, info )
446 IF( info.EQ.0 .AND. n.GT.0 ) THEN
447 IF( lsame( equed, 'R' ) ) THEN
448 rowcnd = zero
449 colcnd = one
450 ELSE IF( lsame( equed, 'C' ) ) THEN
451 rowcnd = one
452 colcnd = zero
453 ELSE IF( lsame( equed, 'B' ) ) THEN
454 rowcnd = zero
455 colcnd = zero
456 END IF
457*
458* Equilibrate the matrix.
459*
460 CALL slaqgb( n, n, kl, ku, afb( kl+1 ),
461 $ ldafb, s, s( n+1 ),
462 $ rowcnd, colcnd, amax,
463 $ equed )
464 END IF
465 END IF
466*
467* Save the condition number of the
468* non-equilibrated system for use in SGET04.
469*
470 IF( equil ) THEN
471 roldo = rcondo
472 roldi = rcondi
473 END IF
474*
475* Compute the 1-norm and infinity-norm of A.
476*
477 anormo = slangb( '1', n, kl, ku, afb( kl+1 ),
478 $ ldafb, rwork )
479 anormi = slangb( 'I', n, kl, ku, afb( kl+1 ),
480 $ ldafb, rwork )
481*
482* Factor the matrix A.
483*
484 CALL sgbtrf( n, n, kl, ku, afb, ldafb, iwork,
485 $ info )
486*
487* Form the inverse of A.
488*
489 CALL slaset( 'Full', n, n, zero, one, work,
490 $ ldb )
491 srnamt = 'SGBTRS'
492 CALL sgbtrs( 'No transpose', n, kl, ku, n,
493 $ afb, ldafb, iwork, work, ldb,
494 $ info )
495*
496* Compute the 1-norm condition number of A.
497*
498 ainvnm = slange( '1', n, n, work, ldb,
499 $ rwork )
500 IF( anormo.LE.zero .OR. ainvnm.LE.zero ) THEN
501 rcondo = one
502 ELSE
503 rcondo = ( one / anormo ) / ainvnm
504 END IF
505*
506* Compute the infinity-norm condition number
507* of A.
508*
509 ainvnm = slange( 'I', n, n, work, ldb,
510 $ rwork )
511 IF( anormi.LE.zero .OR. ainvnm.LE.zero ) THEN
512 rcondi = one
513 ELSE
514 rcondi = ( one / anormi ) / ainvnm
515 END IF
516 END IF
517*
518 DO 90 itran = 1, ntran
519*
520* Do for each value of TRANS.
521*
522 trans = transs( itran )
523 IF( itran.EQ.1 ) THEN
524 rcondc = rcondo
525 ELSE
526 rcondc = rcondi
527 END IF
528*
529* Restore the matrix A.
530*
531 CALL slacpy( 'Full', kl+ku+1, n, asav, lda,
532 $ a, lda )
533*
534* Form an exact solution and set the right hand
535* side.
536*
537 srnamt = 'SLARHS'
538 CALL slarhs( path, xtype, 'Full', trans, n,
539 $ n, kl, ku, nrhs, a, lda, xact,
540 $ ldb, b, ldb, iseed, info )
541 xtype = 'C'
542 CALL slacpy( 'Full', n, nrhs, b, ldb, bsav,
543 $ ldb )
544*
545 IF( nofact .AND. itran.EQ.1 ) THEN
546*
547* --- Test SGBSV ---
548*
549* Compute the LU factorization of the matrix
550* and solve the system.
551*
552 CALL slacpy( 'Full', kl+ku+1, n, a, lda,
553 $ afb( kl+1 ), ldafb )
554 CALL slacpy( 'Full', n, nrhs, b, ldb, x,
555 $ ldb )
556*
557 srnamt = 'SGBSV '
558 CALL sgbsv( n, kl, ku, nrhs, afb, ldafb,
559 $ iwork, x, ldb, info )
560*
561* Check error code from SGBSV .
562*
563 IF( info.NE.izero )
564 $ CALL alaerh( path, 'SGBSV ', info,
565 $ izero, ' ', n, n, kl, ku,
566 $ nrhs, imat, nfail, nerrs,
567 $ nout )
568*
569* Reconstruct matrix from factors and
570* compute residual.
571*
572 CALL sgbt01( n, n, kl, ku, a, lda, afb,
573 $ ldafb, iwork, work,
574 $ result( 1 ) )
575 nt = 1
576 IF( izero.EQ.0 ) THEN
577*
578* Compute residual of the computed
579* solution.
580*
581 CALL slacpy( 'Full', n, nrhs, b, ldb,
582 $ work, ldb )
583 CALL sgbt02( 'No transpose', n, n, kl,
584 $ ku, nrhs, a, lda, x, ldb,
585 $ work, ldb, rwork,
586 $ result( 2 ) )
587*
588* Check solution from generated exact
589* solution.
590*
591 CALL sget04( n, nrhs, x, ldb, xact,
592 $ ldb, rcondc, result( 3 ) )
593 nt = 3
594 END IF
595*
596* Print information about the tests that did
597* not pass the threshold.
598*
599 DO 50 k = 1, nt
600 IF( result( k ).GE.thresh ) THEN
601 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
602 $ CALL aladhd( nout, path )
603 WRITE( nout, fmt = 9997 )'SGBSV ',
604 $ n, kl, ku, imat, k, result( k )
605 nfail = nfail + 1
606 END IF
607 50 CONTINUE
608 nrun = nrun + nt
609 END IF
610*
611* --- Test SGBSVX ---
612*
613 IF( .NOT.prefac )
614 $ CALL slaset( 'Full', 2*kl+ku+1, n, zero,
615 $ zero, afb, ldafb )
616 CALL slaset( 'Full', n, nrhs, zero, zero, x,
617 $ ldb )
618 IF( iequed.GT.1 .AND. n.GT.0 ) THEN
619*
620* Equilibrate the matrix if FACT = 'F' and
621* EQUED = 'R', 'C', or 'B'.
622*
623 CALL slaqgb( n, n, kl, ku, a, lda, s,
624 $ s( n+1 ), rowcnd, colcnd,
625 $ amax, equed )
626 END IF
627*
628* Solve the system and compute the condition
629* number and error bounds using SGBSVX.
630*
631 srnamt = 'SGBSVX'
632 CALL sgbsvx( fact, trans, n, kl, ku, nrhs, a,
633 $ lda, afb, ldafb, iwork, equed,
634 $ s, s( n+1 ), b, ldb, x, ldb,
635 $ rcond, rwork, rwork( nrhs+1 ),
636 $ work, iwork( n+1 ), info )
637*
638* Check the error code from SGBSVX.
639*
640 IF( info.NE.izero )
641 $ CALL alaerh( path, 'SGBSVX', info, izero,
642 $ fact // trans, n, n, kl, ku,
643 $ nrhs, imat, nfail, nerrs,
644 $ nout )
645*
646* Compare WORK(1) from SGBSVX with the computed
647* reciprocal pivot growth factor RPVGRW
648*
649 IF( info.NE.0 .AND. info.LE.n) THEN
650 anrmpv = zero
651 DO 70 j = 1, info
652 DO 60 i = max( ku+2-j, 1 ),
653 $ min( n+ku+1-j, kl+ku+1 )
654 anrmpv = max( anrmpv,
655 $ abs( a( i+( j-1 )*lda ) ) )
656 60 CONTINUE
657 70 CONTINUE
658 rpvgrw = slantb( 'M', 'U', 'N', info,
659 $ min( info-1, kl+ku ),
660 $ afb( max( 1, kl+ku+2-info ) ),
661 $ ldafb, work )
662 IF( rpvgrw.EQ.zero ) THEN
663 rpvgrw = one
664 ELSE
665 rpvgrw = anrmpv / rpvgrw
666 END IF
667 ELSE
668 rpvgrw = slantb( 'M', 'U', 'N', n, kl+ku,
669 $ afb, ldafb, work )
670 IF( rpvgrw.EQ.zero ) THEN
671 rpvgrw = one
672 ELSE
673 rpvgrw = slangb( 'M', n, kl, ku, a,
674 $ lda, work ) / rpvgrw
675 END IF
676 END IF
677 result( 7 ) = abs( rpvgrw-work( 1 ) ) /
678 $ max( work( 1 ), rpvgrw ) /
679 $ slamch( 'E' )
680*
681 IF( .NOT.prefac ) THEN
682*
683* Reconstruct matrix from factors and
684* compute residual.
685*
686 CALL sgbt01( n, n, kl, ku, a, lda, afb,
687 $ ldafb, iwork, work,
688 $ result( 1 ) )
689 k1 = 1
690 ELSE
691 k1 = 2
692 END IF
693*
694 IF( info.EQ.0 ) THEN
695 trfcon = .false.
696*
697* Compute residual of the computed solution.
698*
699 CALL slacpy( 'Full', n, nrhs, bsav, ldb,
700 $ work, ldb )
701 CALL sgbt02( trans, n, n, kl, ku, nrhs,
702 $ asav, lda, x, ldb, work, ldb,
703 $ rwork( 2*nrhs+1 ),
704 $ result( 2 ) )
705*
706* Check solution from generated exact
707* solution.
708*
709 IF( nofact .OR. ( prefac .AND.
710 $ lsame( equed, 'N' ) ) ) THEN
711 CALL sget04( n, nrhs, x, ldb, xact,
712 $ ldb, rcondc, result( 3 ) )
713 ELSE
714 IF( itran.EQ.1 ) THEN
715 roldc = roldo
716 ELSE
717 roldc = roldi
718 END IF
719 CALL sget04( n, nrhs, x, ldb, xact,
720 $ ldb, roldc, result( 3 ) )
721 END IF
722*
723* Check the error bounds from iterative
724* refinement.
725*
726 CALL sgbt05( trans, n, kl, ku, nrhs, asav,
727 $ lda, b, ldb, x, ldb, xact,
728 $ ldb, rwork, rwork( nrhs+1 ),
729 $ result( 4 ) )
730 ELSE
731 trfcon = .true.
732 END IF
733*
734* Compare RCOND from SGBSVX with the computed
735* value in RCONDC.
736*
737 result( 6 ) = sget06( rcond, rcondc )
738*
739* Print information about the tests that did
740* not pass the threshold.
741*
742 IF( .NOT.trfcon ) THEN
743 DO 80 k = k1, ntests
744 IF( result( k ).GE.thresh ) THEN
745 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
746 $ CALL aladhd( nout, path )
747 IF( prefac ) THEN
748 WRITE( nout, fmt = 9995 )
749 $ 'SGBSVX', fact, trans, n, kl,
750 $ ku, equed, imat, k,
751 $ result( k )
752 ELSE
753 WRITE( nout, fmt = 9996 )
754 $ 'SGBSVX', fact, trans, n, kl,
755 $ ku, imat, k, result( k )
756 END IF
757 nfail = nfail + 1
758 END IF
759 80 CONTINUE
760 nrun = nrun + ntests - k1 + 1
761 ELSE
762 IF( result( 1 ).GE.thresh .AND. .NOT.
763 $ prefac ) THEN
764 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
765 $ CALL aladhd( nout, path )
766 IF( prefac ) THEN
767 WRITE( nout, fmt = 9995 )'SGBSVX',
768 $ fact, trans, n, kl, ku, equed,
769 $ imat, 1, result( 1 )
770 ELSE
771 WRITE( nout, fmt = 9996 )'SGBSVX',
772 $ fact, trans, n, kl, ku, imat, 1,
773 $ result( 1 )
774 END IF
775 nfail = nfail + 1
776 nrun = nrun + 1
777 END IF
778 IF( result( 6 ).GE.thresh ) THEN
779 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
780 $ CALL aladhd( nout, path )
781 IF( prefac ) THEN
782 WRITE( nout, fmt = 9995 )'SGBSVX',
783 $ fact, trans, n, kl, ku, equed,
784 $ imat, 6, result( 6 )
785 ELSE
786 WRITE( nout, fmt = 9996 )'SGBSVX',
787 $ fact, trans, n, kl, ku, imat, 6,
788 $ result( 6 )
789 END IF
790 nfail = nfail + 1
791 nrun = nrun + 1
792 END IF
793 IF( result( 7 ).GE.thresh ) THEN
794 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
795 $ CALL aladhd( nout, path )
796 IF( prefac ) THEN
797 WRITE( nout, fmt = 9995 )'SGBSVX',
798 $ fact, trans, n, kl, ku, equed,
799 $ imat, 7, result( 7 )
800 ELSE
801 WRITE( nout, fmt = 9996 )'SGBSVX',
802 $ fact, trans, n, kl, ku, imat, 7,
803 $ result( 7 )
804 END IF
805 nfail = nfail + 1
806 nrun = nrun + 1
807 END IF
808*
809 END IF
810 90 CONTINUE
811 100 CONTINUE
812 110 CONTINUE
813 120 CONTINUE
814 130 CONTINUE
815 140 CONTINUE
816 150 CONTINUE
817*
818* Print a summary of the results.
819*
820 CALL alasvm( path, nout, nfail, nrun, nerrs )
821*
822 9999 FORMAT( ' *** In SDRVGB, LA=', i5, ' is too small for N=', i5,
823 $ ', KU=', i5, ', KL=', i5, / ' ==> Increase LA to at least ',
824 $ i5 )
825 9998 FORMAT( ' *** In SDRVGB, LAFB=', i5, ' is too small for N=', i5,
826 $ ', KU=', i5, ', KL=', i5, /
827 $ ' ==> Increase LAFB to at least ', i5 )
828 9997 FORMAT( 1x, a, ', N=', i5, ', KL=', i5, ', KU=', i5, ', type ',
829 $ i1, ', test(', i1, ')=', g12.5 )
830 9996 FORMAT( 1x, a, '( ''', a1, ''',''', a1, ''',', i5, ',', i5, ',',
831 $ i5, ',...), type ', i1, ', test(', i1, ')=', g12.5 )
832 9995 FORMAT( 1x, a, '( ''', a1, ''',''', a1, ''',', i5, ',', i5, ',',
833 $ i5, ',...), EQUED=''', a1, ''', type ', i1, ', test(', i1,
834 $ ')=', g12.5 )
835*
836 RETURN
837*
838* End of SDRVGB
839*
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
slarhs
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
aladhd
subroutine aladhd(iounit, path)
ALADHD
Definition aladhd.f:90
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
sgbequ
subroutine sgbequ(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
SGBEQU
Definition sgbequ.f:153
sgbsv
subroutine sgbsv(n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
SGBSV computes the solution to system of linear equations A * X = B for GB matrices (simple driver)
Definition sgbsv.f:162
sgbsvx
subroutine sgbsvx(fact, trans, n, kl, ku, nrhs, ab, ldab, afb, ldafb, ipiv, equed, r, c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
SGBSVX computes the solution to system of linear equations A * X = B for GB matrices
Definition sgbsvx.f:368
sgbtrf
subroutine sgbtrf(m, n, kl, ku, ab, ldab, ipiv, info)
SGBTRF
Definition sgbtrf.f:144
sgbtrs
subroutine sgbtrs(trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
SGBTRS
Definition sgbtrs.f:138
slacpy
subroutine slacpy(uplo, m, n, a, lda, b, ldb)
SLACPY copies all or part of one two-dimensional array to another.
Definition slacpy.f:103
slamch
real function slamch(cmach)
SLAMCH
Definition slamch.f:68
slangb
real function slangb(norm, n, kl, ku, ab, ldab, work)
SLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition slangb.f:124
slange
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
slantb
real function slantb(norm, uplo, diag, n, k, ab, ldab, work)
SLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition slantb.f:140
slaqgb
subroutine slaqgb(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, equed)
SLAQGB scales a general band matrix, using row and column scaling factors computed by sgbequ.
Definition slaqgb.f:159
slaset
subroutine slaset(uplo, m, n, alpha, beta, a, lda)
SLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition slaset.f:110
lsame
logical function lsame(ca, cb)
LSAME
Definition lsame.f:48
serrvx
subroutine serrvx(path, nunit)
SERRVX
Definition serrvx.f:55
sgbt01
subroutine sgbt01(m, n, kl, ku, a, lda, afac, ldafac, ipiv, work, resid)
SGBT01
Definition sgbt01.f:126
sgbt02
subroutine sgbt02(trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SGBT02
Definition sgbt02.f:149
sgbt05
subroutine sgbt05(trans, n, kl, ku, nrhs, ab, ldab, b, ldb, x, ldx, xact, ldxact, ferr, berr, reslts)
SGBT05
Definition sgbt05.f:176
sget04
subroutine sget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
SGET04
Definition sget04.f:102
sget06
real function sget06(rcond, rcondc)
SGET06
Definition sget06.f:55
slatb4
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
slatms
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321
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