LAPACK  3.10.1
LAPACK: Linear Algebra PACKage

◆ ddrvpb()

subroutine ddrvpb ( logical, dimension( * )  DOTYPE,
integer  NN,
integer, dimension( * )  NVAL,
integer  NRHS,
double precision  THRESH,
logical  TSTERR,
integer  NMAX,
double precision, dimension( * )  A,
double precision, dimension( * )  AFAC,
double precision, dimension( * )  ASAV,
double precision, dimension( * )  B,
double precision, dimension( * )  BSAV,
double precision, dimension( * )  X,
double precision, dimension( * )  XACT,
double precision, dimension( * )  S,
double precision, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer, dimension( * )  IWORK,
integer  NOUT 
)

DDRVPB

Purpose:
 DDRVPB tests the driver routines DPBSV 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 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.
[in]NMAX
          NMAX is INTEGER
          The maximum value permitted for N, used in dimensioning the
          work arrays.
[out]A
          A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]AFAC
          AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]ASAV
          ASAV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]B
          B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]BSAV
          BSAV is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]X
          X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]XACT
          XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]S
          S is DOUBLE PRECISION array, dimension (NMAX)
[out]WORK
          WORK is DOUBLE PRECISION array, dimension
                      (NMAX*max(3,NRHS))
[out]RWORK
          RWORK is DOUBLE PRECISION array, dimension (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 161 of file ddrvpb.f.

164 *
165 * -- LAPACK test routine --
166 * -- LAPACK is a software package provided by Univ. of Tennessee, --
167 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
168 *
169 * .. Scalar Arguments ..
170  LOGICAL TSTERR
171  INTEGER NMAX, NN, NOUT, NRHS
172  DOUBLE PRECISION THRESH
173 * ..
174 * .. Array Arguments ..
175  LOGICAL DOTYPE( * )
176  INTEGER IWORK( * ), NVAL( * )
177  DOUBLE PRECISION A( * ), AFAC( * ), ASAV( * ), B( * ),
178  $ BSAV( * ), RWORK( * ), S( * ), WORK( * ),
179  $ X( * ), XACT( * )
180 * ..
181 *
182 * =====================================================================
183 *
184 * .. Parameters ..
185  DOUBLE PRECISION ONE, ZERO
186  parameter( one = 1.0d+0, zero = 0.0d+0 )
187  INTEGER NTYPES, NTESTS
188  parameter( ntypes = 8, ntests = 6 )
189  INTEGER NBW
190  parameter( nbw = 4 )
191 * ..
192 * .. Local Scalars ..
193  LOGICAL EQUIL, NOFACT, PREFAC, ZEROT
194  CHARACTER DIST, EQUED, FACT, PACKIT, TYPE, UPLO, XTYPE
195  CHARACTER*3 PATH
196  INTEGER I, I1, I2, IEQUED, IFACT, IKD, IMAT, IN, INFO,
197  $ IOFF, IUPLO, IW, IZERO, K, K1, KD, KL, KOFF,
198  $ KU, LDA, LDAB, MODE, N, NB, NBMIN, NERRS,
199  $ NFACT, NFAIL, NIMAT, NKD, NRUN, NT
200  DOUBLE PRECISION AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
201  $ ROLDC, SCOND
202 * ..
203 * .. Local Arrays ..
204  CHARACTER EQUEDS( 2 ), FACTS( 3 )
205  INTEGER ISEED( 4 ), ISEEDY( 4 ), KDVAL( NBW )
206  DOUBLE PRECISION RESULT( NTESTS )
207 * ..
208 * .. External Functions ..
209  LOGICAL LSAME
210  DOUBLE PRECISION DGET06, DLANGE, DLANSB
211  EXTERNAL lsame, dget06, dlange, dlansb
212 * ..
213 * .. External Subroutines ..
214  EXTERNAL aladhd, alaerh, alasvm, dcopy, derrvx, dget04,
218 * ..
219 * .. Intrinsic Functions ..
220  INTRINSIC max, min
221 * ..
222 * .. Scalars in Common ..
223  LOGICAL LERR, OK
224  CHARACTER*32 SRNAMT
225  INTEGER INFOT, NUNIT
226 * ..
227 * .. Common blocks ..
228  COMMON / infoc / infot, nunit, ok, lerr
229  COMMON / srnamc / srnamt
230 * ..
231 * .. Data statements ..
232  DATA iseedy / 1988, 1989, 1990, 1991 /
233  DATA facts / 'F', 'N', 'E' /
234  DATA equeds / 'N', 'Y' /
235 * ..
236 * .. Executable Statements ..
237 *
238 * Initialize constants and the random number seed.
239 *
240  path( 1: 1 ) = 'Double precision'
241  path( 2: 3 ) = 'PB'
242  nrun = 0
243  nfail = 0
244  nerrs = 0
245  DO 10 i = 1, 4
246  iseed( i ) = iseedy( i )
247  10 CONTINUE
248 *
249 * Test the error exits
250 *
251  IF( tsterr )
252  $ CALL derrvx( path, nout )
253  infot = 0
254  kdval( 1 ) = 0
255 *
256 * Set the block size and minimum block size for testing.
257 *
258  nb = 1
259  nbmin = 2
260  CALL xlaenv( 1, nb )
261  CALL xlaenv( 2, nbmin )
262 *
263 * Do for each value of N in NVAL
264 *
265  DO 110 in = 1, nn
266  n = nval( in )
267  lda = max( n, 1 )
268  xtype = 'N'
269 *
270 * Set limits on the number of loop iterations.
271 *
272  nkd = max( 1, min( n, 4 ) )
273  nimat = ntypes
274  IF( n.EQ.0 )
275  $ nimat = 1
276 *
277  kdval( 2 ) = n + ( n+1 ) / 4
278  kdval( 3 ) = ( 3*n-1 ) / 4
279  kdval( 4 ) = ( n+1 ) / 4
280 *
281  DO 100 ikd = 1, nkd
282 *
283 * Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
284 * makes it easier to skip redundant values for small values
285 * of N.
286 *
287  kd = kdval( ikd )
288  ldab = kd + 1
289 *
290 * Do first for UPLO = 'U', then for UPLO = 'L'
291 *
292  DO 90 iuplo = 1, 2
293  koff = 1
294  IF( iuplo.EQ.1 ) THEN
295  uplo = 'U'
296  packit = 'Q'
297  koff = max( 1, kd+2-n )
298  ELSE
299  uplo = 'L'
300  packit = 'B'
301  END IF
302 *
303  DO 80 imat = 1, nimat
304 *
305 * Do the tests only if DOTYPE( IMAT ) is true.
306 *
307  IF( .NOT.dotype( imat ) )
308  $ GO TO 80
309 *
310 * Skip types 2, 3, or 4 if the matrix size is too small.
311 *
312  zerot = imat.GE.2 .AND. imat.LE.4
313  IF( zerot .AND. n.LT.imat-1 )
314  $ GO TO 80
315 *
316  IF( .NOT.zerot .OR. .NOT.dotype( 1 ) ) THEN
317 *
318 * Set up parameters with DLATB4 and generate a test
319 * matrix with DLATMS.
320 *
321  CALL dlatb4( path, imat, n, n, TYPE, KL, KU, ANORM,
322  $ MODE, CNDNUM, DIST )
323 *
324  srnamt = 'DLATMS'
325  CALL dlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
326  $ CNDNUM, ANORM, KD, KD, PACKIT,
327  $ A( KOFF ), LDAB, WORK, INFO )
328 *
329 * Check error code from DLATMS.
330 *
331  IF( info.NE.0 ) THEN
332  CALL alaerh( path, 'DLATMS', info, 0, uplo, n,
333  $ n, -1, -1, -1, imat, nfail, nerrs,
334  $ nout )
335  GO TO 80
336  END IF
337  ELSE IF( izero.GT.0 ) THEN
338 *
339 * Use the same matrix for types 3 and 4 as for type
340 * 2 by copying back the zeroed out column,
341 *
342  iw = 2*lda + 1
343  IF( iuplo.EQ.1 ) THEN
344  ioff = ( izero-1 )*ldab + kd + 1
345  CALL dcopy( izero-i1, work( iw ), 1,
346  $ a( ioff-izero+i1 ), 1 )
347  iw = iw + izero - i1
348  CALL dcopy( i2-izero+1, work( iw ), 1,
349  $ a( ioff ), max( ldab-1, 1 ) )
350  ELSE
351  ioff = ( i1-1 )*ldab + 1
352  CALL dcopy( izero-i1, work( iw ), 1,
353  $ a( ioff+izero-i1 ),
354  $ max( ldab-1, 1 ) )
355  ioff = ( izero-1 )*ldab + 1
356  iw = iw + izero - i1
357  CALL dcopy( i2-izero+1, work( iw ), 1,
358  $ a( ioff ), 1 )
359  END IF
360  END IF
361 *
362 * For types 2-4, zero one row and column of the matrix
363 * to test that INFO is returned correctly.
364 *
365  izero = 0
366  IF( zerot ) THEN
367  IF( imat.EQ.2 ) THEN
368  izero = 1
369  ELSE IF( imat.EQ.3 ) THEN
370  izero = n
371  ELSE
372  izero = n / 2 + 1
373  END IF
374 *
375 * Save the zeroed out row and column in WORK(*,3)
376 *
377  iw = 2*lda
378  DO 20 i = 1, min( 2*kd+1, n )
379  work( iw+i ) = zero
380  20 CONTINUE
381  iw = iw + 1
382  i1 = max( izero-kd, 1 )
383  i2 = min( izero+kd, n )
384 *
385  IF( iuplo.EQ.1 ) THEN
386  ioff = ( izero-1 )*ldab + kd + 1
387  CALL dswap( izero-i1, a( ioff-izero+i1 ), 1,
388  $ work( iw ), 1 )
389  iw = iw + izero - i1
390  CALL dswap( i2-izero+1, a( ioff ),
391  $ max( ldab-1, 1 ), work( iw ), 1 )
392  ELSE
393  ioff = ( i1-1 )*ldab + 1
394  CALL dswap( izero-i1, a( ioff+izero-i1 ),
395  $ max( ldab-1, 1 ), work( iw ), 1 )
396  ioff = ( izero-1 )*ldab + 1
397  iw = iw + izero - i1
398  CALL dswap( i2-izero+1, a( ioff ), 1,
399  $ work( iw ), 1 )
400  END IF
401  END IF
402 *
403 * Save a copy of the matrix A in ASAV.
404 *
405  CALL dlacpy( 'Full', kd+1, n, a, ldab, asav, ldab )
406 *
407  DO 70 iequed = 1, 2
408  equed = equeds( iequed )
409  IF( iequed.EQ.1 ) THEN
410  nfact = 3
411  ELSE
412  nfact = 1
413  END IF
414 *
415  DO 60 ifact = 1, nfact
416  fact = facts( ifact )
417  prefac = lsame( fact, 'F' )
418  nofact = lsame( fact, 'N' )
419  equil = lsame( fact, 'E' )
420 *
421  IF( zerot ) THEN
422  IF( prefac )
423  $ GO TO 60
424  rcondc = zero
425 *
426  ELSE IF( .NOT.lsame( fact, 'N' ) ) THEN
427 *
428 * Compute the condition number for comparison
429 * with the value returned by DPBSVX (FACT =
430 * 'N' reuses the condition number from the
431 * previous iteration with FACT = 'F').
432 *
433  CALL dlacpy( 'Full', kd+1, n, asav, ldab,
434  $ afac, ldab )
435  IF( equil .OR. iequed.GT.1 ) THEN
436 *
437 * Compute row and column scale factors to
438 * equilibrate the matrix A.
439 *
440  CALL dpbequ( uplo, n, kd, afac, ldab, s,
441  $ scond, amax, info )
442  IF( info.EQ.0 .AND. n.GT.0 ) THEN
443  IF( iequed.GT.1 )
444  $ scond = zero
445 *
446 * Equilibrate the matrix.
447 *
448  CALL dlaqsb( uplo, n, kd, afac, ldab,
449  $ s, scond, amax, equed )
450  END IF
451  END IF
452 *
453 * Save the condition number of the
454 * non-equilibrated system for use in DGET04.
455 *
456  IF( equil )
457  $ roldc = rcondc
458 *
459 * Compute the 1-norm of A.
460 *
461  anorm = dlansb( '1', uplo, n, kd, afac, ldab,
462  $ rwork )
463 *
464 * Factor the matrix A.
465 *
466  CALL dpbtrf( uplo, n, kd, afac, ldab, info )
467 *
468 * Form the inverse of A.
469 *
470  CALL dlaset( 'Full', n, n, zero, one, a,
471  $ lda )
472  srnamt = 'DPBTRS'
473  CALL dpbtrs( uplo, n, kd, n, afac, ldab, a,
474  $ lda, info )
475 *
476 * Compute the 1-norm condition number of A.
477 *
478  ainvnm = dlange( '1', n, n, a, lda, rwork )
479  IF( anorm.LE.zero .OR. ainvnm.LE.zero ) THEN
480  rcondc = one
481  ELSE
482  rcondc = ( one / anorm ) / ainvnm
483  END IF
484  END IF
485 *
486 * Restore the matrix A.
487 *
488  CALL dlacpy( 'Full', kd+1, n, asav, ldab, a,
489  $ ldab )
490 *
491 * Form an exact solution and set the right hand
492 * side.
493 *
494  srnamt = 'DLARHS'
495  CALL dlarhs( path, xtype, uplo, ' ', n, n, kd,
496  $ kd, nrhs, a, ldab, xact, lda, b,
497  $ lda, iseed, info )
498  xtype = 'C'
499  CALL dlacpy( 'Full', n, nrhs, b, lda, bsav,
500  $ lda )
501 *
502  IF( nofact ) THEN
503 *
504 * --- Test DPBSV ---
505 *
506 * Compute the L*L' or U'*U factorization of the
507 * matrix and solve the system.
508 *
509  CALL dlacpy( 'Full', kd+1, n, a, ldab, afac,
510  $ ldab )
511  CALL dlacpy( 'Full', n, nrhs, b, lda, x,
512  $ lda )
513 *
514  srnamt = 'DPBSV '
515  CALL dpbsv( uplo, n, kd, nrhs, afac, ldab, x,
516  $ lda, info )
517 *
518 * Check error code from DPBSV .
519 *
520  IF( info.NE.izero ) THEN
521  CALL alaerh( path, 'DPBSV ', info, izero,
522  $ uplo, n, n, kd, kd, nrhs,
523  $ imat, nfail, nerrs, nout )
524  GO TO 40
525  ELSE IF( info.NE.0 ) THEN
526  GO TO 40
527  END IF
528 *
529 * Reconstruct matrix from factors and compute
530 * residual.
531 *
532  CALL dpbt01( uplo, n, kd, a, ldab, afac,
533  $ ldab, rwork, result( 1 ) )
534 *
535 * Compute residual of the computed solution.
536 *
537  CALL dlacpy( 'Full', n, nrhs, b, lda, work,
538  $ lda )
539  CALL dpbt02( uplo, n, kd, nrhs, a, ldab, x,
540  $ lda, work, lda, rwork,
541  $ result( 2 ) )
542 *
543 * Check solution from generated exact solution.
544 *
545  CALL dget04( n, nrhs, x, lda, xact, lda,
546  $ rcondc, result( 3 ) )
547  nt = 3
548 *
549 * Print information about the tests that did
550 * not pass the threshold.
551 *
552  DO 30 k = 1, nt
553  IF( result( k ).GE.thresh ) THEN
554  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
555  $ CALL aladhd( nout, path )
556  WRITE( nout, fmt = 9999 )'DPBSV ',
557  $ uplo, n, kd, imat, k, result( k )
558  nfail = nfail + 1
559  END IF
560  30 CONTINUE
561  nrun = nrun + nt
562  40 CONTINUE
563  END IF
564 *
565 * --- Test DPBSVX ---
566 *
567  IF( .NOT.prefac )
568  $ CALL dlaset( 'Full', kd+1, n, zero, zero,
569  $ afac, ldab )
570  CALL dlaset( 'Full', n, nrhs, zero, zero, x,
571  $ lda )
572  IF( iequed.GT.1 .AND. n.GT.0 ) THEN
573 *
574 * Equilibrate the matrix if FACT='F' and
575 * EQUED='Y'
576 *
577  CALL dlaqsb( uplo, n, kd, a, ldab, s, scond,
578  $ amax, equed )
579  END IF
580 *
581 * Solve the system and compute the condition
582 * number and error bounds using DPBSVX.
583 *
584  srnamt = 'DPBSVX'
585  CALL dpbsvx( fact, uplo, n, kd, nrhs, a, ldab,
586  $ afac, ldab, equed, s, b, lda, x,
587  $ lda, rcond, rwork, rwork( nrhs+1 ),
588  $ work, iwork, info )
589 *
590 * Check the error code from DPBSVX.
591 *
592  IF( info.NE.izero ) THEN
593  CALL alaerh( path, 'DPBSVX', info, izero,
594  $ fact // uplo, n, n, kd, kd,
595  $ nrhs, imat, nfail, nerrs, nout )
596  GO TO 60
597  END IF
598 *
599  IF( info.EQ.0 ) THEN
600  IF( .NOT.prefac ) THEN
601 *
602 * Reconstruct matrix from factors and
603 * compute residual.
604 *
605  CALL dpbt01( uplo, n, kd, a, ldab, afac,
606  $ ldab, rwork( 2*nrhs+1 ),
607  $ result( 1 ) )
608  k1 = 1
609  ELSE
610  k1 = 2
611  END IF
612 *
613 * Compute residual of the computed solution.
614 *
615  CALL dlacpy( 'Full', n, nrhs, bsav, lda,
616  $ work, lda )
617  CALL dpbt02( uplo, n, kd, nrhs, asav, ldab,
618  $ x, lda, work, lda,
619  $ rwork( 2*nrhs+1 ), result( 2 ) )
620 *
621 * Check solution from generated exact solution.
622 *
623  IF( nofact .OR. ( prefac .AND. lsame( equed,
624  $ 'N' ) ) ) THEN
625  CALL dget04( n, nrhs, x, lda, xact, lda,
626  $ rcondc, result( 3 ) )
627  ELSE
628  CALL dget04( n, nrhs, x, lda, xact, lda,
629  $ roldc, result( 3 ) )
630  END IF
631 *
632 * Check the error bounds from iterative
633 * refinement.
634 *
635  CALL dpbt05( uplo, n, kd, nrhs, asav, ldab,
636  $ b, lda, x, lda, xact, lda,
637  $ rwork, rwork( nrhs+1 ),
638  $ result( 4 ) )
639  ELSE
640  k1 = 6
641  END IF
642 *
643 * Compare RCOND from DPBSVX with the computed
644 * value in RCONDC.
645 *
646  result( 6 ) = dget06( rcond, rcondc )
647 *
648 * Print information about the tests that did not
649 * pass the threshold.
650 *
651  DO 50 k = k1, 6
652  IF( result( k ).GE.thresh ) THEN
653  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
654  $ CALL aladhd( nout, path )
655  IF( prefac ) THEN
656  WRITE( nout, fmt = 9997 )'DPBSVX',
657  $ fact, uplo, n, kd, equed, imat, k,
658  $ result( k )
659  ELSE
660  WRITE( nout, fmt = 9998 )'DPBSVX',
661  $ fact, uplo, n, kd, imat, k,
662  $ result( k )
663  END IF
664  nfail = nfail + 1
665  END IF
666  50 CONTINUE
667  nrun = nrun + 7 - k1
668  60 CONTINUE
669  70 CONTINUE
670  80 CONTINUE
671  90 CONTINUE
672  100 CONTINUE
673  110 CONTINUE
674 *
675 * Print a summary of the results.
676 *
677  CALL alasvm( path, nout, nfail, nrun, nerrs )
678 *
679  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', KD =', i5,
680  $ ', type ', i1, ', test(', i1, ')=', g12.5 )
681  9998 FORMAT( 1x, a, '( ''', a1, ''', ''', a1, ''', ', i5, ', ', i5,
682  $ ', ... ), type ', i1, ', test(', i1, ')=', g12.5 )
683  9997 FORMAT( 1x, a, '( ''', a1, ''', ''', a1, ''', ', i5, ', ', i5,
684  $ ', ... ), EQUED=''', a1, ''', type ', i1, ', test(', i1,
685  $ ')=', g12.5 )
686  RETURN
687 *
688 * End of DDRVPB
689 *
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:103
subroutine dlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: dlaset.f:110
logical function lsame(CA, CB)
LSAME
Definition: lsame.f:53
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:73
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:81
subroutine aladhd(IOUNIT, PATH)
ALADHD
Definition: aladhd.f:90
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:147
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
Definition: dcopy.f:82
subroutine dswap(N, DX, INCX, DY, INCY)
DSWAP
Definition: dswap.f:82
subroutine dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:205
subroutine dpbt05(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
DPBT05
Definition: dpbt05.f:171
subroutine dget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
DGET04
Definition: dget04.f:102
subroutine dpbt01(UPLO, N, KD, A, LDA, AFAC, LDAFAC, RWORK, RESID)
DPBT01
Definition: dpbt01.f:119
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:120
subroutine derrvx(PATH, NUNIT)
DERRVX
Definition: derrvx.f:55
subroutine dpbt02(UPLO, N, KD, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPBT02
Definition: dpbt02.f:136
double precision function dget06(RCOND, RCONDC)
DGET06
Definition: dget06.f:55
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321
double precision function dlange(NORM, M, N, A, LDA, WORK)
DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition: dlange.f:114
double precision function dlansb(NORM, UPLO, N, K, AB, LDAB, WORK)
DLANSB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition: dlansb.f:129
subroutine dlaqsb(UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED)
DLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ.
Definition: dlaqsb.f:140
subroutine dpbtrs(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
DPBTRS
Definition: dpbtrs.f:121
subroutine dpbequ(UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO)
DPBEQU
Definition: dpbequ.f:129
subroutine dpbtrf(UPLO, N, KD, AB, LDAB, INFO)
DPBTRF
Definition: dpbtrf.f:142
subroutine dpbsv(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
DPBSV computes the solution to system of linear equations A * X = B for OTHER matrices
Definition: dpbsv.f:164
subroutine dpbsvx(FACT, UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO)
DPBSVX computes the solution to system of linear equations A * X = B for OTHER matrices
Definition: dpbsvx.f:343
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