LAPACK  3.9.1
LAPACK: Linear Algebra PACKage

◆ zdrvgb()

subroutine zdrvgb ( logical, dimension( * )  DOTYPE,
integer  NN,
integer, dimension( * )  NVAL,
integer  NRHS,
double precision  THRESH,
logical  TSTERR,
complex*16, dimension( * )  A,
integer  LA,
complex*16, dimension( * )  AFB,
integer  LAFB,
complex*16, dimension( * )  ASAV,
complex*16, dimension( * )  B,
complex*16, dimension( * )  BSAV,
complex*16, dimension( * )  X,
complex*16, dimension( * )  XACT,
double precision, dimension( * )  S,
complex*16, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer, dimension( * )  IWORK,
integer  NOUT 
)

ZDRVGB

ZDRVGBX

Purpose:
 ZDRVGB tests the driver routines ZGBSV 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 DOUBLE PRECISION
          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 COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 array, dimension (LA)
[out]B
          B is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]BSAV
          BSAV is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]X
          X is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]XACT
          XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]S
          S is DOUBLE PRECISION array, dimension (2*NMAX)
[out]WORK
          WORK is COMPLEX*16 array, dimension
                      (NMAX*max(3,NRHS,NMAX))
[out]RWORK
          RWORK is DOUBLE PRECISION array, dimension
                      (max(NMAX,2*NRHS))
[out]IWORK
          IWORK is INTEGER array, dimension (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.
Purpose:
 ZDRVGB tests the driver routines ZGBSV, -SVX, and -SVXX.

 Note that this file is used only when the XBLAS are available,
 otherwise zdrvgb.f defines this subroutine.
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 DOUBLE PRECISION
          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 COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 array, dimension (LA)
[out]B
          B is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]BSAV
          BSAV is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]X
          X is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]XACT
          XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]S
          S is DOUBLE PRECISION array, dimension (2*NMAX)
[out]WORK
          WORK is COMPLEX*16 array, dimension
                      (NMAX*max(3,NRHS,NMAX))
[out]RWORK
          RWORK is DOUBLE PRECISION array, dimension
                      (max(NMAX,2*NRHS))
[out]IWORK
          IWORK is INTEGER array, dimension (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 zdrvgb.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  DOUBLE PRECISION THRESH
181 * ..
182 * .. Array Arguments ..
183  LOGICAL DOTYPE( * )
184  INTEGER IWORK( * ), NVAL( * )
185  DOUBLE PRECISION RWORK( * ), S( * )
186  COMPLEX*16 A( * ), AFB( * ), ASAV( * ), B( * ), BSAV( * ),
187  $ WORK( * ), X( * ), XACT( * )
188 * ..
189 *
190 * =====================================================================
191 *
192 * .. Parameters ..
193  DOUBLE PRECISION ONE, ZERO
194  parameter( one = 1.0d+0, zero = 0.0d+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  DOUBLE PRECISION 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  DOUBLE PRECISION RDUM( 1 ), RESULT( NTESTS )
218 * ..
219 * .. External Functions ..
220  LOGICAL LSAME
221  DOUBLE PRECISION DGET06, DLAMCH, ZLANGB, ZLANGE, ZLANTB
222  EXTERNAL lsame, dget06, dlamch, zlangb, zlange, zlantb
223 * ..
224 * .. External Subroutines ..
225  EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx, zgbequ,
226  $ zgbsv, zgbsvx, zgbt01, zgbt02, zgbt05, zgbtrf,
227  $ zgbtrs, zget04, zlacpy, zlaqgb, zlarhs, zlaset,
228  $ zlatb4, zlatms
229 * ..
230 * .. Intrinsic Functions ..
231  INTRINSIC abs, dcmplx, 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 ) = 'Zomplex 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 zerrvx( 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 ZLATB4 and generate a
356 * test matrix with ZLATMS.
357 *
358  CALL zlatb4( path, imat, n, n, TYPE, KL, KU, ANORM,
359  $ MODE, CNDNUM, DIST )
360  rcondc = one / cndnum
361 *
362  srnamt = 'ZLATMS'
363  CALL zlatms( 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 ZLATMS.
368 *
369  IF( info.NE.0 ) THEN
370  CALL alaerh( path, 'ZLATMS', 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 zlacpy( '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 DGESVX (FACT =
433 * 'N' reuses the condition number from the
434 * previous iteration with FACT = 'F').
435 *
436  CALL zlacpy( '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 zgbequ( 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 zlaqgb( 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 ZGET04.
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 = zlangb( '1', n, kl, ku, afb( kl+1 ),
478  $ ldafb, rwork )
479  anormi = zlangb( 'I', n, kl, ku, afb( kl+1 ),
480  $ ldafb, rwork )
481 *
482 * Factor the matrix A.
483 *
484  CALL zgbtrf( n, n, kl, ku, afb, ldafb, iwork,
485  $ info )
486 *
487 * Form the inverse of A.
488 *
489  CALL zlaset( 'Full', n, n, dcmplx( zero ),
490  $ dcmplx( one ), work, ldb )
491  srnamt = 'ZGBTRS'
492  CALL zgbtrs( '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 = zlange( '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 = zlange( '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 zlacpy( '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 = 'ZLARHS'
538  CALL zlarhs( path, xtype, 'Full', trans, n,
539  $ n, kl, ku, nrhs, a, lda, xact,
540  $ ldb, b, ldb, iseed, info )
541  xtype = 'C'
542  CALL zlacpy( 'Full', n, nrhs, b, ldb, bsav,
543  $ ldb )
544 *
545  IF( nofact .AND. itran.EQ.1 ) THEN
546 *
547 * --- Test ZGBSV ---
548 *
549 * Compute the LU factorization of the matrix
550 * and solve the system.
551 *
552  CALL zlacpy( 'Full', kl+ku+1, n, a, lda,
553  $ afb( kl+1 ), ldafb )
554  CALL zlacpy( 'Full', n, nrhs, b, ldb, x,
555  $ ldb )
556 *
557  srnamt = 'ZGBSV '
558  CALL zgbsv( n, kl, ku, nrhs, afb, ldafb,
559  $ iwork, x, ldb, info )
560 *
561 * Check error code from ZGBSV .
562 *
563  IF( info.NE.izero )
564  $ CALL alaerh( path, 'ZGBSV ', 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 zgbt01( 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 zlacpy( 'Full', n, nrhs, b, ldb,
582  $ work, ldb )
583  CALL zgbt02( 'No transpose', n, n, kl,
584  $ ku, nrhs, a, lda, x, ldb,
585  $ work, ldb, result( 2 ) )
586 *
587 * Check solution from generated exact
588 * solution.
589 *
590  CALL zget04( n, nrhs, x, ldb, xact,
591  $ ldb, rcondc, result( 3 ) )
592  nt = 3
593  END IF
594 *
595 * Print information about the tests that did
596 * not pass the threshold.
597 *
598  DO 50 k = 1, nt
599  IF( result( k ).GE.thresh ) THEN
600  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
601  $ CALL aladhd( nout, path )
602  WRITE( nout, fmt = 9997 )'ZGBSV ',
603  $ n, kl, ku, imat, k, result( k )
604  nfail = nfail + 1
605  END IF
606  50 CONTINUE
607  nrun = nrun + nt
608  END IF
609 *
610 * --- Test ZGBSVX ---
611 *
612  IF( .NOT.prefac )
613  $ CALL zlaset( 'Full', 2*kl+ku+1, n,
614  $ dcmplx( zero ),
615  $ dcmplx( zero ), afb, ldafb )
616  CALL zlaset( 'Full', n, nrhs, dcmplx( zero ),
617  $ dcmplx( zero ), x, 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 zlaqgb( 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 ZGBSVX.
630 *
631  srnamt = 'ZGBSVX'
632  CALL zgbsvx( fact, trans, n, kl, ku, nrhs, a,
633  $ lda, afb, ldafb, iwork, equed,
634  $ s, s( ldb+1 ), b, ldb, x, ldb,
635  $ rcond, rwork, rwork( nrhs+1 ),
636  $ work, rwork( 2*nrhs+1 ), info )
637 *
638 * Check the error code from ZGBSVX.
639 *
640  IF( info.NE.izero )
641  $ CALL alaerh( path, 'ZGBSVX', info, izero,
642  $ fact // trans, n, n, kl, ku,
643  $ nrhs, imat, nfail, nerrs,
644  $ nout )
645 * Compare RWORK(2*NRHS+1) from ZGBSVX with the
646 * computed reciprocal pivot growth RPVGRW
647 *
648  IF( info.NE.0 .AND. info.LE.n) THEN
649  anrmpv = zero
650  DO 70 j = 1, info
651  DO 60 i = max( ku+2-j, 1 ),
652  $ min( n+ku+1-j, kl+ku+1 )
653  anrmpv = max( anrmpv,
654  $ abs( a( i+( j-1 )*lda ) ) )
655  60 CONTINUE
656  70 CONTINUE
657  rpvgrw = zlantb( 'M', 'U', 'N', info,
658  $ min( info-1, kl+ku ),
659  $ afb( max( 1, kl+ku+2-info ) ),
660  $ ldafb, rdum )
661  IF( rpvgrw.EQ.zero ) THEN
662  rpvgrw = one
663  ELSE
664  rpvgrw = anrmpv / rpvgrw
665  END IF
666  ELSE
667  rpvgrw = zlantb( 'M', 'U', 'N', n, kl+ku,
668  $ afb, ldafb, rdum )
669  IF( rpvgrw.EQ.zero ) THEN
670  rpvgrw = one
671  ELSE
672  rpvgrw = zlangb( 'M', n, kl, ku, a,
673  $ lda, rdum ) / rpvgrw
674  END IF
675  END IF
676  result( 7 ) = abs( rpvgrw-rwork( 2*nrhs+1 ) )
677  $ / max( rwork( 2*nrhs+1 ),
678  $ rpvgrw ) / dlamch( 'E' )
679 *
680  IF( .NOT.prefac ) THEN
681 *
682 * Reconstruct matrix from factors and
683 * compute residual.
684 *
685  CALL zgbt01( n, n, kl, ku, a, lda, afb,
686  $ ldafb, iwork, work,
687  $ result( 1 ) )
688  k1 = 1
689  ELSE
690  k1 = 2
691  END IF
692 *
693  IF( info.EQ.0 ) THEN
694  trfcon = .false.
695 *
696 * Compute residual of the computed solution.
697 *
698  CALL zlacpy( 'Full', n, nrhs, bsav, ldb,
699  $ work, ldb )
700  CALL zgbt02( trans, n, n, kl, ku, nrhs,
701  $ asav, lda, x, ldb, work, ldb,
702  $ result( 2 ) )
703 *
704 * Check solution from generated exact
705 * solution.
706 *
707  IF( nofact .OR. ( prefac .AND.
708  $ lsame( equed, 'N' ) ) ) THEN
709  CALL zget04( n, nrhs, x, ldb, xact,
710  $ ldb, rcondc, result( 3 ) )
711  ELSE
712  IF( itran.EQ.1 ) THEN
713  roldc = roldo
714  ELSE
715  roldc = roldi
716  END IF
717  CALL zget04( n, nrhs, x, ldb, xact,
718  $ ldb, roldc, result( 3 ) )
719  END IF
720 *
721 * Check the error bounds from iterative
722 * refinement.
723 *
724  CALL zgbt05( trans, n, kl, ku, nrhs, asav,
725  $ lda, bsav, ldb, x, ldb, xact,
726  $ ldb, rwork, rwork( nrhs+1 ),
727  $ result( 4 ) )
728  ELSE
729  trfcon = .true.
730  END IF
731 *
732 * Compare RCOND from ZGBSVX with the computed
733 * value in RCONDC.
734 *
735  result( 6 ) = dget06( rcond, rcondc )
736 *
737 * Print information about the tests that did
738 * not pass the threshold.
739 *
740  IF( .NOT.trfcon ) THEN
741  DO 80 k = k1, ntests
742  IF( result( k ).GE.thresh ) THEN
743  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
744  $ CALL aladhd( nout, path )
745  IF( prefac ) THEN
746  WRITE( nout, fmt = 9995 )
747  $ 'ZGBSVX', fact, trans, n, kl,
748  $ ku, equed, imat, k,
749  $ result( k )
750  ELSE
751  WRITE( nout, fmt = 9996 )
752  $ 'ZGBSVX', fact, trans, n, kl,
753  $ ku, imat, k, result( k )
754  END IF
755  nfail = nfail + 1
756  END IF
757  80 CONTINUE
758  nrun = nrun + ntests - k1 + 1
759  ELSE
760  IF( result( 1 ).GE.thresh .AND. .NOT.
761  $ prefac ) THEN
762  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
763  $ CALL aladhd( nout, path )
764  IF( prefac ) THEN
765  WRITE( nout, fmt = 9995 )'ZGBSVX',
766  $ fact, trans, n, kl, ku, equed,
767  $ imat, 1, result( 1 )
768  ELSE
769  WRITE( nout, fmt = 9996 )'ZGBSVX',
770  $ fact, trans, n, kl, ku, imat, 1,
771  $ result( 1 )
772  END IF
773  nfail = nfail + 1
774  nrun = nrun + 1
775  END IF
776  IF( result( 6 ).GE.thresh ) THEN
777  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
778  $ CALL aladhd( nout, path )
779  IF( prefac ) THEN
780  WRITE( nout, fmt = 9995 )'ZGBSVX',
781  $ fact, trans, n, kl, ku, equed,
782  $ imat, 6, result( 6 )
783  ELSE
784  WRITE( nout, fmt = 9996 )'ZGBSVX',
785  $ fact, trans, n, kl, ku, imat, 6,
786  $ result( 6 )
787  END IF
788  nfail = nfail + 1
789  nrun = nrun + 1
790  END IF
791  IF( result( 7 ).GE.thresh ) THEN
792  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
793  $ CALL aladhd( nout, path )
794  IF( prefac ) THEN
795  WRITE( nout, fmt = 9995 )'ZGBSVX',
796  $ fact, trans, n, kl, ku, equed,
797  $ imat, 7, result( 7 )
798  ELSE
799  WRITE( nout, fmt = 9996 )'ZGBSVX',
800  $ fact, trans, n, kl, ku, imat, 7,
801  $ result( 7 )
802  END IF
803  nfail = nfail + 1
804  nrun = nrun + 1
805  END IF
806  END IF
807  90 CONTINUE
808  100 CONTINUE
809  110 CONTINUE
810  120 CONTINUE
811  130 CONTINUE
812  140 CONTINUE
813  150 CONTINUE
814 *
815 * Print a summary of the results.
816 *
817  CALL alasvm( path, nout, nfail, nrun, nerrs )
818 *
819  9999 FORMAT( ' *** In ZDRVGB, LA=', i5, ' is too small for N=', i5,
820  $ ', KU=', i5, ', KL=', i5, / ' ==> Increase LA to at least ',
821  $ i5 )
822  9998 FORMAT( ' *** In ZDRVGB, LAFB=', i5, ' is too small for N=', i5,
823  $ ', KU=', i5, ', KL=', i5, /
824  $ ' ==> Increase LAFB to at least ', i5 )
825  9997 FORMAT( 1x, a, ', N=', i5, ', KL=', i5, ', KU=', i5, ', type ',
826  $ i1, ', test(', i1, ')=', g12.5 )
827  9996 FORMAT( 1x, a, '( ''', a1, ''',''', a1, ''',', i5, ',', i5, ',',
828  $ i5, ',...), type ', i1, ', test(', i1, ')=', g12.5 )
829  9995 FORMAT( 1x, a, '( ''', a1, ''',''', a1, ''',', i5, ',', i5, ',',
830  $ i5, ',...), EQUED=''', a1, ''', type ', i1, ', test(', i1,
831  $ ')=', g12.5 )
832 *
833  RETURN
834 *
835 * End of ZDRVGB
836 *
dlamch
double precision function dlamch(CMACH)
DLAMCH
Definition: dlamch.f:69
lsame
logical function lsame(CA, CB)
LSAME
Definition: lsame.f:53
alasvm
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:73
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
zlarhs
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:209
zgbt01
subroutine zgbt01(M, N, KL, KU, A, LDA, AFAC, LDAFAC, IPIV, WORK, RESID)
ZGBT01
Definition: zgbt01.f:126
zgbt05
subroutine zgbt05(TRANS, N, KL, KU, NRHS, AB, LDAB, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
ZGBT05
Definition: zgbt05.f:176
zerrvx
subroutine zerrvx(PATH, NUNIT)
ZERRVX
Definition: zerrvx.f:55
zget04
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:102
zlatb4
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:121
zgbt02
subroutine zgbt02(TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, RESID)
ZGBT02
Definition: zgbt02.f:139
zlatms
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:332
zlaqgb
subroutine zlaqgb(M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED)
ZLAQGB scales a general band matrix, using row and column scaling factors computed by sgbequ.
Definition: zlaqgb.f:160
zlangb
double precision function zlangb(NORM, N, KL, KU, AB, LDAB, WORK)
ZLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition: zlangb.f:125
zgbtrf
subroutine zgbtrf(M, N, KL, KU, AB, LDAB, IPIV, INFO)
ZGBTRF
Definition: zgbtrf.f:144
zgbequ
subroutine zgbequ(M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO)
ZGBEQU
Definition: zgbequ.f:154
zgbtrs
subroutine zgbtrs(TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
ZGBTRS
Definition: zgbtrs.f:138
zgbsvx
subroutine zgbsvx(FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO)
ZGBSVX computes the solution to system of linear equations A * X = B for GB matrices
Definition: zgbsvx.f:370
zgbsv
subroutine zgbsv(N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
ZGBSV computes the solution to system of linear equations A * X = B for GB matrices (simple driver)
Definition: zgbsv.f:162
zlange
double precision function zlange(NORM, M, N, A, LDA, WORK)
ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition: zlange.f:115
zlacpy
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:103
zlaset
subroutine zlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: zlaset.f:106
zlantb
double precision function zlantb(NORM, UPLO, DIAG, N, K, AB, LDAB, WORK)
ZLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition: zlantb.f:141
dget06
double precision function dget06(RCOND, RCONDC)
DGET06
Definition: dget06.f:55
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