LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ schkgb()

subroutine schkgb ( logical, dimension( * )  dotype,
integer  nm,
integer, dimension( * )  mval,
integer  nn,
integer, dimension( * )  nval,
integer  nnb,
integer, dimension( * )  nbval,
integer  nns,
integer, dimension( * )  nsval,
real  thresh,
logical  tsterr,
real, dimension( * )  a,
integer  la,
real, dimension( * )  afac,
integer  lafac,
real, dimension( * )  b,
real, dimension( * )  x,
real, dimension( * )  xact,
real, dimension( * )  work,
real, dimension( * )  rwork,
integer, dimension( * )  iwork,
integer  nout 
)

SCHKGB

Purpose:
 SCHKGB tests SGBTRF, -TRS, -RFS, and -CON
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]NM
          NM is INTEGER
          The number of values of M contained in the vector MVAL.
[in]MVAL
          MVAL is INTEGER array, dimension (NM)
          The values of the matrix row dimension M.
[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]NNB
          NNB is INTEGER
          The number of values of NB contained in the vector NBVAL.
[in]NBVAL
          NBVAL is INTEGER array, dimension (NNB)
          The values of the blocksize NB.
[in]NNS
          NNS is INTEGER
          The number of values of NRHS contained in the vector NSVAL.
[in]NSVAL
          NSVAL is INTEGER array, dimension (NNS)
          The values of the number of right hand sides NRHS.
[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 >= (KLMAX+KUMAX+1)*NMAX
          where KLMAX is the largest entry in the local array KLVAL,
                KUMAX is the largest entry in the local array KUVAL and
                NMAX is the largest entry in the input array NVAL.
[out]AFAC
          AFAC is REAL array, dimension (LAFAC)
[in]LAFAC
          LAFAC is INTEGER
          The length of the array AFAC. LAFAC >= (2*KLMAX+KUMAX+1)*NMAX
          where KLMAX is the largest entry in the local array KLVAL,
                KUMAX is the largest entry in the local array KUVAL and
                NMAX is the largest entry in the input array NVAL.
[out]B
          B is REAL array, dimension (NMAX*NSMAX)
          where NSMAX is the largest entry in NSVAL.
[out]X
          X is REAL array, dimension (NMAX*NSMAX)
[out]XACT
          XACT is REAL array, dimension (NMAX*NSMAX)
[out]WORK
          WORK is REAL array, dimension
                      (NMAX*max(3,NSMAX,NMAX))
[out]RWORK
          RWORK is REAL array, dimension
                      (NMAX+2*NSMAX)
[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 188 of file schkgb.f.

191*
192* -- LAPACK test routine --
193* -- LAPACK is a software package provided by Univ. of Tennessee, --
194* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
195*
196* .. Scalar Arguments ..
197 LOGICAL TSTERR
198 INTEGER LA, LAFAC, NM, NN, NNB, NNS, NOUT
199 REAL THRESH
200* ..
201* .. Array Arguments ..
202 LOGICAL DOTYPE( * )
203 INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NSVAL( * ),
204 $ NVAL( * )
205 REAL A( * ), AFAC( * ), B( * ), RWORK( * ),
206 $ WORK( * ), X( * ), XACT( * )
207* ..
208*
209* =====================================================================
210*
211* .. Parameters ..
212 REAL ONE, ZERO
213 parameter( one = 1.0e+0, zero = 0.0e+0 )
214 INTEGER NTYPES, NTESTS
215 parameter( ntypes = 8, ntests = 7 )
216 INTEGER NBW, NTRAN
217 parameter( nbw = 4, ntran = 3 )
218* ..
219* .. Local Scalars ..
220 LOGICAL TRFCON, ZEROT
221 CHARACTER DIST, NORM, TRANS, TYPE, XTYPE
222 CHARACTER*3 PATH
223 INTEGER I, I1, I2, IKL, IKU, IM, IMAT, IN, INB, INFO,
224 $ IOFF, IRHS, ITRAN, IZERO, J, K, KL, KOFF, KU,
225 $ LDA, LDAFAC, LDB, M, MODE, N, NB, NERRS, NFAIL,
226 $ NIMAT, NKL, NKU, NRHS, NRUN
227 REAL AINVNM, ANORM, ANORMI, ANORMO, CNDNUM, RCOND,
228 $ RCONDC, RCONDI, RCONDO
229* ..
230* .. Local Arrays ..
231 CHARACTER TRANSS( NTRAN )
232 INTEGER ISEED( 4 ), ISEEDY( 4 ), KLVAL( NBW ),
233 $ KUVAL( NBW )
234 REAL RESULT( NTESTS )
235* ..
236* .. External Functions ..
237 REAL SGET06, SLANGB, SLANGE
238 EXTERNAL sget06, slangb, slange
239* ..
240* .. External Subroutines ..
241 EXTERNAL alaerh, alahd, alasum, scopy, serrge, sgbcon,
242 $ sgbrfs, sgbt01, sgbt02, sgbt05, sgbtrf, sgbtrs,
243 $ sget04, slacpy, slarhs, slaset, slatb4, slatms,
244 $ xlaenv
245* ..
246* .. Intrinsic Functions ..
247 INTRINSIC max, min
248* ..
249* .. Scalars in Common ..
250 LOGICAL LERR, OK
251 CHARACTER*32 SRNAMT
252 INTEGER INFOT, NUNIT
253* ..
254* .. Common blocks ..
255 COMMON / infoc / infot, nunit, ok, lerr
256 COMMON / srnamc / srnamt
257* ..
258* .. Data statements ..
259 DATA iseedy / 1988, 1989, 1990, 1991 / ,
260 $ transs / 'N', 'T', 'C' /
261* ..
262* .. Executable Statements ..
263*
264* Initialize constants and the random number seed.
265*
266 path( 1: 1 ) = 'Single precision'
267 path( 2: 3 ) = 'GB'
268 nrun = 0
269 nfail = 0
270 nerrs = 0
271 DO 10 i = 1, 4
272 iseed( i ) = iseedy( i )
273 10 CONTINUE
274*
275* Test the error exits
276*
277 IF( tsterr )
278 $ CALL serrge( path, nout )
279 infot = 0
280 CALL xlaenv( 2, 2 )
281*
282* Initialize the first value for the lower and upper bandwidths.
283*
284 klval( 1 ) = 0
285 kuval( 1 ) = 0
286*
287* Do for each value of M in MVAL
288*
289 DO 160 im = 1, nm
290 m = mval( im )
291*
292* Set values to use for the lower bandwidth.
293*
294 klval( 2 ) = m + ( m+1 ) / 4
295*
296* KLVAL( 2 ) = MAX( M-1, 0 )
297*
298 klval( 3 ) = ( 3*m-1 ) / 4
299 klval( 4 ) = ( m+1 ) / 4
300*
301* Do for each value of N in NVAL
302*
303 DO 150 in = 1, nn
304 n = nval( in )
305 xtype = 'N'
306*
307* Set values to use for the upper bandwidth.
308*
309 kuval( 2 ) = n + ( n+1 ) / 4
310*
311* KUVAL( 2 ) = MAX( N-1, 0 )
312*
313 kuval( 3 ) = ( 3*n-1 ) / 4
314 kuval( 4 ) = ( n+1 ) / 4
315*
316* Set limits on the number of loop iterations.
317*
318 nkl = min( m+1, 4 )
319 IF( n.EQ.0 )
320 $ nkl = 2
321 nku = min( n+1, 4 )
322 IF( m.EQ.0 )
323 $ nku = 2
324 nimat = ntypes
325 IF( m.LE.0 .OR. n.LE.0 )
326 $ nimat = 1
327*
328 DO 140 ikl = 1, nkl
329*
330* Do for KL = 0, (5*M+1)/4, (3M-1)/4, and (M+1)/4. This
331* order makes it easier to skip redundant values for small
332* values of M.
333*
334 kl = klval( ikl )
335 DO 130 iku = 1, nku
336*
337* Do for KU = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This
338* order makes it easier to skip redundant values for
339* small values of N.
340*
341 ku = kuval( iku )
342*
343* Check that A and AFAC are big enough to generate this
344* matrix.
345*
346 lda = kl + ku + 1
347 ldafac = 2*kl + ku + 1
348 IF( ( lda*n ).GT.la .OR. ( ldafac*n ).GT.lafac ) THEN
349 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
350 $ CALL alahd( nout, path )
351 IF( n*( kl+ku+1 ).GT.la ) THEN
352 WRITE( nout, fmt = 9999 )la, m, n, kl, ku,
353 $ n*( kl+ku+1 )
354 nerrs = nerrs + 1
355 END IF
356 IF( n*( 2*kl+ku+1 ).GT.lafac ) THEN
357 WRITE( nout, fmt = 9998 )lafac, m, n, kl, ku,
358 $ n*( 2*kl+ku+1 )
359 nerrs = nerrs + 1
360 END IF
361 GO TO 130
362 END IF
363*
364 DO 120 imat = 1, nimat
365*
366* Do the tests only if DOTYPE( IMAT ) is true.
367*
368 IF( .NOT.dotype( imat ) )
369 $ GO TO 120
370*
371* Skip types 2, 3, or 4 if the matrix size is too
372* small.
373*
374 zerot = imat.GE.2 .AND. imat.LE.4
375 IF( zerot .AND. n.LT.imat-1 )
376 $ GO TO 120
377*
378 IF( .NOT.zerot .OR. .NOT.dotype( 1 ) ) THEN
379*
380* Set up parameters with SLATB4 and generate a
381* test matrix with SLATMS.
382*
383 CALL slatb4( path, imat, m, n, TYPE, KL, KU,
384 $ ANORM, MODE, CNDNUM, DIST )
385*
386 koff = max( 1, ku+2-n )
387 DO 20 i = 1, koff - 1
388 a( i ) = zero
389 20 CONTINUE
390 srnamt = 'SLATMS'
391 CALL slatms( m, n, dist, iseed, TYPE, RWORK,
392 $ MODE, CNDNUM, ANORM, KL, KU, 'Z',
393 $ A( KOFF ), LDA, WORK, INFO )
394*
395* Check the error code from SLATMS.
396*
397 IF( info.NE.0 ) THEN
398 CALL alaerh( path, 'SLATMS', info, 0, ' ', m,
399 $ n, kl, ku, -1, imat, nfail,
400 $ nerrs, nout )
401 GO TO 120
402 END IF
403 ELSE IF( izero.GT.0 ) THEN
404*
405* Use the same matrix for types 3 and 4 as for
406* type 2 by copying back the zeroed out column.
407*
408 CALL scopy( i2-i1+1, b, 1, a( ioff+i1 ), 1 )
409 END IF
410*
411* For types 2, 3, and 4, zero one or more columns of
412* the matrix to test that INFO is returned correctly.
413*
414 izero = 0
415 IF( zerot ) THEN
416 IF( imat.EQ.2 ) THEN
417 izero = 1
418 ELSE IF( imat.EQ.3 ) THEN
419 izero = min( m, n )
420 ELSE
421 izero = min( m, n ) / 2 + 1
422 END IF
423 ioff = ( izero-1 )*lda
424 IF( imat.LT.4 ) THEN
425*
426* Store the column to be zeroed out in B.
427*
428 i1 = max( 1, ku+2-izero )
429 i2 = min( kl+ku+1, ku+1+( m-izero ) )
430 CALL scopy( i2-i1+1, a( ioff+i1 ), 1, b, 1 )
431*
432 DO 30 i = i1, i2
433 a( ioff+i ) = zero
434 30 CONTINUE
435 ELSE
436 DO 50 j = izero, n
437 DO 40 i = max( 1, ku+2-j ),
438 $ min( kl+ku+1, ku+1+( m-j ) )
439 a( ioff+i ) = zero
440 40 CONTINUE
441 ioff = ioff + lda
442 50 CONTINUE
443 END IF
444 END IF
445*
446* These lines, if used in place of the calls in the
447* loop over INB, cause the code to bomb on a Sun
448* SPARCstation.
449*
450* ANORMO = SLANGB( 'O', N, KL, KU, A, LDA, RWORK )
451* ANORMI = SLANGB( 'I', N, KL, KU, A, LDA, RWORK )
452*
453* Do for each blocksize in NBVAL
454*
455 DO 110 inb = 1, nnb
456 nb = nbval( inb )
457 CALL xlaenv( 1, nb )
458*
459* Compute the LU factorization of the band matrix.
460*
461 IF( m.GT.0 .AND. n.GT.0 )
462 $ CALL slacpy( 'Full', kl+ku+1, n, a, lda,
463 $ afac( kl+1 ), ldafac )
464 srnamt = 'SGBTRF'
465 CALL sgbtrf( m, n, kl, ku, afac, ldafac, iwork,
466 $ info )
467*
468* Check error code from SGBTRF.
469*
470 IF( info.NE.izero )
471 $ CALL alaerh( path, 'SGBTRF', info, izero,
472 $ ' ', m, n, kl, ku, nb, imat,
473 $ nfail, nerrs, nout )
474 trfcon = .false.
475*
476*+ TEST 1
477* Reconstruct matrix from factors and compute
478* residual.
479*
480 CALL sgbt01( m, n, kl, ku, a, lda, afac, ldafac,
481 $ iwork, work, result( 1 ) )
482*
483* Print information about the tests so far that
484* did not pass the threshold.
485*
486 IF( result( 1 ).GE.thresh ) THEN
487 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
488 $ CALL alahd( nout, path )
489 WRITE( nout, fmt = 9997 )m, n, kl, ku, nb,
490 $ imat, 1, result( 1 )
491 nfail = nfail + 1
492 END IF
493 nrun = nrun + 1
494*
495* Skip the remaining tests if this is not the
496* first block size or if M .ne. N.
497*
498 IF( inb.GT.1 .OR. m.NE.n )
499 $ GO TO 110
500*
501 anormo = slangb( 'O', n, kl, ku, a, lda, rwork )
502 anormi = slangb( 'I', n, kl, ku, a, lda, rwork )
503*
504 IF( info.EQ.0 ) THEN
505*
506* Form the inverse of A so we can get a good
507* estimate of CNDNUM = norm(A) * norm(inv(A)).
508*
509 ldb = max( 1, n )
510 CALL slaset( 'Full', n, n, zero, one, work,
511 $ ldb )
512 srnamt = 'SGBTRS'
513 CALL sgbtrs( 'No transpose', n, kl, ku, n,
514 $ afac, ldafac, iwork, work, ldb,
515 $ info )
516*
517* Compute the 1-norm condition number of A.
518*
519 ainvnm = slange( 'O', n, n, work, ldb,
520 $ rwork )
521 IF( anormo.LE.zero .OR. ainvnm.LE.zero ) THEN
522 rcondo = one
523 ELSE
524 rcondo = ( one / anormo ) / ainvnm
525 END IF
526*
527* Compute the infinity-norm condition number of
528* A.
529*
530 ainvnm = slange( 'I', n, n, work, ldb,
531 $ rwork )
532 IF( anormi.LE.zero .OR. ainvnm.LE.zero ) THEN
533 rcondi = one
534 ELSE
535 rcondi = ( one / anormi ) / ainvnm
536 END IF
537 ELSE
538*
539* Do only the condition estimate if INFO.NE.0.
540*
541 trfcon = .true.
542 rcondo = zero
543 rcondi = zero
544 END IF
545*
546* Skip the solve tests if the matrix is singular.
547*
548 IF( trfcon )
549 $ GO TO 90
550*
551 DO 80 irhs = 1, nns
552 nrhs = nsval( irhs )
553 xtype = 'N'
554*
555 DO 70 itran = 1, ntran
556 trans = transs( itran )
557 IF( itran.EQ.1 ) THEN
558 rcondc = rcondo
559 norm = 'O'
560 ELSE
561 rcondc = rcondi
562 norm = 'I'
563 END IF
564*
565*+ TEST 2:
566* Solve and compute residual for op(A) * X = B.
567*
568 srnamt = 'SLARHS'
569 CALL slarhs( path, xtype, ' ', trans, n,
570 $ n, kl, ku, nrhs, a, lda,
571 $ xact, ldb, b, ldb, iseed,
572 $ info )
573 xtype = 'C'
574 CALL slacpy( 'Full', n, nrhs, b, ldb, x,
575 $ ldb )
576*
577 srnamt = 'SGBTRS'
578 CALL sgbtrs( trans, n, kl, ku, nrhs, afac,
579 $ ldafac, iwork, x, ldb, info )
580*
581* Check error code from SGBTRS.
582*
583 IF( info.NE.0 )
584 $ CALL alaerh( path, 'SGBTRS', info, 0,
585 $ trans, n, n, kl, ku, -1,
586 $ imat, nfail, nerrs, nout )
587*
588 CALL slacpy( 'Full', n, nrhs, b, ldb,
589 $ work, ldb )
590 CALL sgbt02( trans, m, n, kl, ku, nrhs, a,
591 $ lda, x, ldb, work, ldb,
592 $ rwork, result( 2 ) )
593*
594*+ TEST 3:
595* Check solution from generated exact
596* solution.
597*
598 CALL sget04( n, nrhs, x, ldb, xact, ldb,
599 $ rcondc, result( 3 ) )
600*
601*+ TESTS 4, 5, 6:
602* Use iterative refinement to improve the
603* solution.
604*
605 srnamt = 'SGBRFS'
606 CALL sgbrfs( trans, n, kl, ku, nrhs, a,
607 $ lda, afac, ldafac, iwork, b,
608 $ ldb, x, ldb, rwork,
609 $ rwork( nrhs+1 ), work,
610 $ iwork( n+1 ), info )
611*
612* Check error code from SGBRFS.
613*
614 IF( info.NE.0 )
615 $ CALL alaerh( path, 'SGBRFS', info, 0,
616 $ trans, n, n, kl, ku, nrhs,
617 $ imat, nfail, nerrs, nout )
618*
619 CALL sget04( n, nrhs, x, ldb, xact, ldb,
620 $ rcondc, result( 4 ) )
621 CALL sgbt05( trans, n, kl, ku, nrhs, a,
622 $ lda, b, ldb, x, ldb, xact,
623 $ ldb, rwork, rwork( nrhs+1 ),
624 $ result( 5 ) )
625 DO 60 k = 2, 6
626 IF( result( k ).GE.thresh ) THEN
627 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
628 $ CALL alahd( nout, path )
629 WRITE( nout, fmt = 9996 )trans, n,
630 $ kl, ku, nrhs, imat, k,
631 $ result( k )
632 nfail = nfail + 1
633 END IF
634 60 CONTINUE
635 nrun = nrun + 5
636 70 CONTINUE
637 80 CONTINUE
638*
639*+ TEST 7:
640* Get an estimate of RCOND = 1/CNDNUM.
641*
642 90 CONTINUE
643 DO 100 itran = 1, 2
644 IF( itran.EQ.1 ) THEN
645 anorm = anormo
646 rcondc = rcondo
647 norm = 'O'
648 ELSE
649 anorm = anormi
650 rcondc = rcondi
651 norm = 'I'
652 END IF
653 srnamt = 'SGBCON'
654 CALL sgbcon( norm, n, kl, ku, afac, ldafac,
655 $ iwork, anorm, rcond, work,
656 $ iwork( n+1 ), info )
657*
658* Check error code from SGBCON.
659*
660 IF( info.NE.0 )
661 $ CALL alaerh( path, 'SGBCON', info, 0,
662 $ norm, n, n, kl, ku, -1, imat,
663 $ nfail, nerrs, nout )
664*
665 result( 7 ) = sget06( rcond, rcondc )
666*
667* Print information about the tests that did
668* not pass the threshold.
669*
670 IF( result( 7 ).GE.thresh ) THEN
671 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
672 $ CALL alahd( nout, path )
673 WRITE( nout, fmt = 9995 )norm, n, kl, ku,
674 $ imat, 7, result( 7 )
675 nfail = nfail + 1
676 END IF
677 nrun = nrun + 1
678 100 CONTINUE
679*
680 110 CONTINUE
681 120 CONTINUE
682 130 CONTINUE
683 140 CONTINUE
684 150 CONTINUE
685 160 CONTINUE
686*
687* Print a summary of the results.
688*
689 CALL alasum( path, nout, nfail, nrun, nerrs )
690*
691 9999 FORMAT( ' *** In SCHKGB, LA=', i5, ' is too small for M=', i5,
692 $ ', N=', i5, ', KL=', i4, ', KU=', i4,
693 $ / ' ==> Increase LA to at least ', i5 )
694 9998 FORMAT( ' *** In SCHKGB, LAFAC=', i5, ' is too small for M=', i5,
695 $ ', N=', i5, ', KL=', i4, ', KU=', i4,
696 $ / ' ==> Increase LAFAC to at least ', i5 )
697 9997 FORMAT( ' M =', i5, ', N =', i5, ', KL=', i5, ', KU=', i5,
698 $ ', NB =', i4, ', type ', i1, ', test(', i1, ')=', g12.5 )
699 9996 FORMAT( ' TRANS=''', a1, ''', N=', i5, ', KL=', i5, ', KU=', i5,
700 $ ', NRHS=', i3, ', type ', i1, ', test(', i1, ')=', g12.5 )
701 9995 FORMAT( ' NORM =''', a1, ''', N=', i5, ', KL=', i5, ', KU=', i5,
702 $ ',', 10x, ' type ', i1, ', test(', i1, ')=', g12.5 )
703*
704 RETURN
705*
706* End of SCHKGB
707*
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.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
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
alahd
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
scopy
subroutine scopy(n, sx, incx, sy, incy)
SCOPY
Definition scopy.f:82
sgbcon
subroutine sgbcon(norm, n, kl, ku, ab, ldab, ipiv, anorm, rcond, work, iwork, info)
SGBCON
Definition sgbcon.f:146
sgbrfs
subroutine sgbrfs(trans, n, kl, ku, nrhs, ab, ldab, afb, ldafb, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
SGBRFS
Definition sgbrfs.f:205
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
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
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
serrge
subroutine serrge(path, nunit)
SERRGE
Definition serrge.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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