LAPACK  3.8.0
LAPACK: Linear Algebra PACKage
zchksy.f
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1 *> \brief \b ZCHKSY
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 * Definition:
9 * ===========
10 *
11 * SUBROUTINE ZCHKSY( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
12 * THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
13 * XACT, WORK, RWORK, IWORK, NOUT )
14 *
15 * .. Scalar Arguments ..
16 * LOGICAL TSTERR
17 * INTEGER NMAX, NN, NNB, NNS, NOUT
18 * DOUBLE PRECISION THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
23 * DOUBLE PRECISION RWORK( * )
24 * COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
25 * $ WORK( * ), X( * ), XACT( * )
26 * ..
27 *
28 *
29 *> \par Purpose:
30 * =============
31 *>
32 *> \verbatim
33 *>
34 *> ZCHKSY tests ZSYTRF, -TRI2, -TRS, -TRS2, -RFS, and -CON.
35 *> \endverbatim
36 *
37 * Arguments:
38 * ==========
39 *
40 *> \param[in] DOTYPE
41 *> \verbatim
42 *> DOTYPE is LOGICAL array, dimension (NTYPES)
43 *> The matrix types to be used for testing. Matrices of type j
44 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
45 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
46 *> \endverbatim
47 *>
48 *> \param[in] NN
49 *> \verbatim
50 *> NN is INTEGER
51 *> The number of values of N contained in the vector NVAL.
52 *> \endverbatim
53 *>
54 *> \param[in] NVAL
55 *> \verbatim
56 *> NVAL is INTEGER array, dimension (NN)
57 *> The values of the matrix dimension N.
58 *> \endverbatim
59 *>
60 *> \param[in] NNB
61 *> \verbatim
62 *> NNB is INTEGER
63 *> The number of values of NB contained in the vector NBVAL.
64 *> \endverbatim
65 *>
66 *> \param[in] NBVAL
67 *> \verbatim
68 *> NBVAL is INTEGER array, dimension (NBVAL)
69 *> The values of the blocksize NB.
70 *> \endverbatim
71 *>
72 *> \param[in] NNS
73 *> \verbatim
74 *> NNS is INTEGER
75 *> The number of values of NRHS contained in the vector NSVAL.
76 *> \endverbatim
77 *>
78 *> \param[in] NSVAL
79 *> \verbatim
80 *> NSVAL is INTEGER array, dimension (NNS)
81 *> The values of the number of right hand sides NRHS.
82 *> \endverbatim
83 *>
84 *> \param[in] THRESH
85 *> \verbatim
86 *> THRESH is DOUBLE PRECISION
87 *> The threshold value for the test ratios. A result is
88 *> included in the output file if RESULT >= THRESH. To have
89 *> every test ratio printed, use THRESH = 0.
90 *> \endverbatim
91 *>
92 *> \param[in] TSTERR
93 *> \verbatim
94 *> TSTERR is LOGICAL
95 *> Flag that indicates whether error exits are to be tested.
96 *> \endverbatim
97 *>
98 *> \param[in] NMAX
99 *> \verbatim
100 *> NMAX is INTEGER
101 *> The maximum value permitted for N, used in dimensioning the
102 *> work arrays.
103 *> \endverbatim
104 *>
105 *> \param[out] A
106 *> \verbatim
107 *> A is COMPLEX*16 array, dimension (NMAX*NMAX)
108 *> \endverbatim
109 *>
110 *> \param[out] AFAC
111 *> \verbatim
112 *> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
113 *> \endverbatim
114 *>
115 *> \param[out] AINV
116 *> \verbatim
117 *> AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
118 *> \endverbatim
119 *>
120 *> \param[out] B
121 *> \verbatim
122 *> B is COMPLEX*16 array, dimension (NMAX*NSMAX)
123 *> where NSMAX is the largest entry in NSVAL.
124 *> \endverbatim
125 *>
126 *> \param[out] X
127 *> \verbatim
128 *> X is COMPLEX*16 array, dimension (NMAX*NSMAX)
129 *> \endverbatim
130 *>
131 *> \param[out] XACT
132 *> \verbatim
133 *> XACT is COMPLEX*16 array, dimension (NMAX*NSMAX)
134 *> \endverbatim
135 *>
136 *> \param[out] WORK
137 *> \verbatim
138 *> WORK is COMPLEX*16 array, dimension (NMAX*max(2,NSMAX))
139 *> \endverbatim
140 *>
141 *> \param[out] RWORK
142 *> \verbatim
143 *> RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NSMAX)
144 *> \endverbatim
145 *>
146 *> \param[out] IWORK
147 *> \verbatim
148 *> IWORK is INTEGER array, dimension (NMAX)
149 *> \endverbatim
150 *>
151 *> \param[in] NOUT
152 *> \verbatim
153 *> NOUT is INTEGER
154 *> The unit number for output.
155 *> \endverbatim
156 *
157 * Authors:
158 * ========
159 *
160 *> \author Univ. of Tennessee
161 *> \author Univ. of California Berkeley
162 *> \author Univ. of Colorado Denver
163 *> \author NAG Ltd.
164 *
165 *> \date November 2013
166 *
167 *> \ingroup complex16_lin
168 *
169 * =====================================================================
170  SUBROUTINE zchksy( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
171  $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
172  $ XACT, WORK, RWORK, IWORK, NOUT )
173 *
174 * -- LAPACK test routine (version 3.5.0) --
175 * -- LAPACK is a software package provided by Univ. of Tennessee, --
176 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
177 * November 2013
178 *
179 * .. Scalar Arguments ..
180  LOGICAL TSTERR
181  INTEGER NMAX, NN, NNB, NNS, NOUT
182  DOUBLE PRECISION THRESH
183 * ..
184 * .. Array Arguments ..
185  LOGICAL DOTYPE( * )
186  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
187  DOUBLE PRECISION RWORK( * )
188  COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
189  $ work( * ), x( * ), xact( * )
190 * ..
191 *
192 * =====================================================================
193 *
194 * .. Parameters ..
195  DOUBLE PRECISION ZERO
196  parameter( zero = 0.0d+0 )
197  COMPLEX*16 CZERO
198  parameter( czero = ( 0.0d+0, 0.0d+0 ) )
199  INTEGER NTYPES
200  parameter( ntypes = 11 )
201  INTEGER NTESTS
202  parameter( ntests = 9 )
203 * ..
204 * .. Local Scalars ..
205  LOGICAL TRFCON, ZEROT
206  CHARACTER DIST, TYPE, UPLO, XTYPE
207  CHARACTER*3 PATH
208  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
209  $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
210  $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
211  DOUBLE PRECISION ANORM, CNDNUM, RCOND, RCONDC
212 * ..
213 * .. Local Arrays ..
214  CHARACTER UPLOS( 2 )
215  INTEGER ISEED( 4 ), ISEEDY( 4 )
216  DOUBLE PRECISION RESULT( ntests )
217 * ..
218 * .. External Functions ..
219  DOUBLE PRECISION DGET06, ZLANSY
220  EXTERNAL dget06, zlansy
221 * ..
222 * .. External Subroutines ..
223  EXTERNAL alaerh, alahd, alasum, xlaenv, zerrsy, zget04,
227 * ..
228 * .. Intrinsic Functions ..
229  INTRINSIC max, min
230 * ..
231 * .. Scalars in Common ..
232  LOGICAL LERR, OK
233  CHARACTER*32 SRNAMT
234  INTEGER INFOT, NUNIT
235 * ..
236 * .. Common blocks ..
237  COMMON / infoc / infot, nunit, ok, lerr
238  COMMON / srnamc / srnamt
239 * ..
240 * .. Data statements ..
241  DATA iseedy / 1988, 1989, 1990, 1991 /
242  DATA uplos / 'U', 'L' /
243 * ..
244 * .. Executable Statements ..
245 *
246 * Initialize constants and the random number seed.
247 *
248  path( 1: 1 ) = 'Zomplex precision'
249  path( 2: 3 ) = 'SY'
250  nrun = 0
251  nfail = 0
252  nerrs = 0
253  DO 10 i = 1, 4
254  iseed( i ) = iseedy( i )
255  10 CONTINUE
256 *
257 * Test the error exits
258 *
259  IF( tsterr )
260  $ CALL zerrsy( path, nout )
261  infot = 0
262 *
263 * Set the minimum block size for which the block routine should
264 * be used, which will be later returned by ILAENV
265 *
266  CALL xlaenv( 2, 2 )
267 *
268 * Do for each value of N in NVAL
269 *
270  DO 180 in = 1, nn
271  n = nval( in )
272  lda = max( n, 1 )
273  xtype = 'N'
274  nimat = ntypes
275  IF( n.LE.0 )
276  $ nimat = 1
277 *
278  izero = 0
279 *
280 * Do for each value of matrix type IMAT
281 *
282  DO 170 imat = 1, nimat
283 *
284 * Do the tests only if DOTYPE( IMAT ) is true.
285 *
286  IF( .NOT.dotype( imat ) )
287  $ GO TO 170
288 *
289 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
290 *
291  zerot = imat.GE.3 .AND. imat.LE.6
292  IF( zerot .AND. n.LT.imat-2 )
293  $ GO TO 170
294 *
295 * Do first for UPLO = 'U', then for UPLO = 'L'
296 *
297  DO 160 iuplo = 1, 2
298  uplo = uplos( iuplo )
299 *
300 * Begin generate test matrix A.
301 *
302  IF( imat.NE.ntypes ) THEN
303 *
304 * Set up parameters with ZLATB4 for the matrix generator
305 * based on the type of matrix to be generated.
306 *
307  CALL zlatb4( path, imat, n, n, TYPE, KL, KU, ANORM,
308  $ mode, cndnum, dist )
309 *
310 * Generate a matrix with ZLATMS.
311 *
312  srnamt = 'ZLATMS'
313  CALL zlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
314  $ cndnum, anorm, kl, ku, 'N', a, lda, work,
315  $ info )
316 *
317 * Check error code from ZLATMS and handle error.
318 *
319  IF( info.NE.0 ) THEN
320  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
321  $ -1, -1, -1, imat, nfail, nerrs, nout )
322 *
323 * Skip all tests for this generated matrix
324 *
325  GO TO 160
326  END IF
327 *
328 * For matrix types 3-6, zero one or more rows and
329 * columns of the matrix to test that INFO is returned
330 * correctly.
331 *
332  IF( zerot ) THEN
333  IF( imat.EQ.3 ) THEN
334  izero = 1
335  ELSE IF( imat.EQ.4 ) THEN
336  izero = n
337  ELSE
338  izero = n / 2 + 1
339  END IF
340 *
341  IF( imat.LT.6 ) THEN
342 *
343 * Set row and column IZERO to zero.
344 *
345  IF( iuplo.EQ.1 ) THEN
346  ioff = ( izero-1 )*lda
347  DO 20 i = 1, izero - 1
348  a( ioff+i ) = czero
349  20 CONTINUE
350  ioff = ioff + izero
351  DO 30 i = izero, n
352  a( ioff ) = czero
353  ioff = ioff + lda
354  30 CONTINUE
355  ELSE
356  ioff = izero
357  DO 40 i = 1, izero - 1
358  a( ioff ) = czero
359  ioff = ioff + lda
360  40 CONTINUE
361  ioff = ioff - izero
362  DO 50 i = izero, n
363  a( ioff+i ) = czero
364  50 CONTINUE
365  END IF
366  ELSE
367  IF( iuplo.EQ.1 ) THEN
368 *
369 * Set the first IZERO rows to zero.
370 *
371  ioff = 0
372  DO 70 j = 1, n
373  i2 = min( j, izero )
374  DO 60 i = 1, i2
375  a( ioff+i ) = czero
376  60 CONTINUE
377  ioff = ioff + lda
378  70 CONTINUE
379  ELSE
380 *
381 * Set the last IZERO rows to zero.
382 *
383  ioff = 0
384  DO 90 j = 1, n
385  i1 = max( j, izero )
386  DO 80 i = i1, n
387  a( ioff+i ) = czero
388  80 CONTINUE
389  ioff = ioff + lda
390  90 CONTINUE
391  END IF
392  END IF
393  ELSE
394  izero = 0
395  END IF
396 *
397  ELSE
398 *
399 * For matrix kind IMAT = 11, generate special block
400 * diagonal matrix to test alternate code
401 * for the 2 x 2 blocks.
402 *
403  CALL zlatsy( uplo, n, a, lda, iseed )
404 *
405  END IF
406 *
407 * End generate test matrix A.
408 *
409 *
410 * Do for each value of NB in NBVAL
411 *
412  DO 150 inb = 1, nnb
413 *
414 * Set the optimal blocksize, which will be later
415 * returned by ILAENV.
416 *
417  nb = nbval( inb )
418  CALL xlaenv( 1, nb )
419 *
420 * Copy the test matrix A into matrix AFAC which
421 * will be factorized in place. This is needed to
422 * preserve the test matrix A for subsequent tests.
423 *
424  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
425 *
426 * Compute the L*D*L**T or U*D*U**T factorization of the
427 * matrix. IWORK stores details of the interchanges and
428 * the block structure of D. AINV is a work array for
429 * block factorization, LWORK is the length of AINV.
430 *
431  lwork = max( 2, nb )*lda
432  srnamt = 'ZSYTRF'
433  CALL zsytrf( uplo, n, afac, lda, iwork, ainv, lwork,
434  $ info )
435 *
436 * Adjust the expected value of INFO to account for
437 * pivoting.
438 *
439  k = izero
440  IF( k.GT.0 ) THEN
441  100 CONTINUE
442  IF( iwork( k ).LT.0 ) THEN
443  IF( iwork( k ).NE.-k ) THEN
444  k = -iwork( k )
445  GO TO 100
446  END IF
447  ELSE IF( iwork( k ).NE.k ) THEN
448  k = iwork( k )
449  GO TO 100
450  END IF
451  END IF
452 *
453 * Check error code from ZSYTRF and handle error.
454 *
455  IF( info.NE.k )
456  $ CALL alaerh( path, 'ZSYTRF', info, k, uplo, n, n,
457  $ -1, -1, nb, imat, nfail, nerrs, nout )
458 *
459 * Set the condition estimate flag if the INFO is not 0.
460 *
461  IF( info.NE.0 ) THEN
462  trfcon = .true.
463  ELSE
464  trfcon = .false.
465  END IF
466 *
467 *+ TEST 1
468 * Reconstruct matrix from factors and compute residual.
469 *
470  CALL zsyt01( uplo, n, a, lda, afac, lda, iwork, ainv,
471  $ lda, rwork, result( 1 ) )
472  nt = 1
473 *
474 *+ TEST 2
475 * Form the inverse and compute the residual,
476 * if the factorization was competed without INFO > 0
477 * (i.e. there is no zero rows and columns).
478 * Do it only for the first block size.
479 *
480  IF( inb.EQ.1 .AND. .NOT.trfcon ) THEN
481  CALL zlacpy( uplo, n, n, afac, lda, ainv, lda )
482  srnamt = 'ZSYTRI2'
483  lwork = (n+nb+1)*(nb+3)
484  CALL zsytri2( uplo, n, ainv, lda, iwork, work,
485  $ lwork, info )
486 *
487 * Check error code from ZSYTRI2 and handle error.
488 *
489  IF( info.NE.0 )
490  $ CALL alaerh( path, 'ZSYTRI2', info, 0, uplo, n,
491  $ n, -1, -1, -1, imat, nfail, nerrs,
492  $ nout )
493 *
494 * Compute the residual for a symmetric matrix times
495 * its inverse.
496 *
497  CALL zsyt03( uplo, n, a, lda, ainv, lda, work, lda,
498  $ rwork, rcondc, result( 2 ) )
499  nt = 2
500  END IF
501 *
502 * Print information about the tests that did not pass
503 * the threshold.
504 *
505  DO 110 k = 1, nt
506  IF( result( k ).GE.thresh ) THEN
507  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
508  $ CALL alahd( nout, path )
509  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
510  $ result( k )
511  nfail = nfail + 1
512  END IF
513  110 CONTINUE
514  nrun = nrun + nt
515 *
516 * Skip the other tests if this is not the first block
517 * size.
518 *
519  IF( inb.GT.1 )
520  $ GO TO 150
521 *
522 * Do only the condition estimate if INFO is not 0.
523 *
524  IF( trfcon ) THEN
525  rcondc = zero
526  GO TO 140
527  END IF
528 *
529 * Do for each value of NRHS in NSVAL.
530 *
531  DO 130 irhs = 1, nns
532  nrhs = nsval( irhs )
533 *
534 *+ TEST 3 (Using TRS)
535 * Solve and compute residual for A * X = B.
536 *
537 * Choose a set of NRHS random solution vectors
538 * stored in XACT and set up the right hand side B
539 *
540  srnamt = 'ZLARHS'
541  CALL zlarhs( path, xtype, uplo, ' ', n, n, kl, ku,
542  $ nrhs, a, lda, xact, lda, b, lda,
543  $ iseed, info )
544  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
545 *
546  srnamt = 'ZSYTRS'
547  CALL zsytrs( uplo, n, nrhs, afac, lda, iwork, x,
548  $ lda, info )
549 *
550 * Check error code from ZSYTRS and handle error.
551 *
552  IF( info.NE.0 )
553  $ CALL alaerh( path, 'ZSYTRS', info, 0, uplo, n,
554  $ n, -1, -1, nrhs, imat, nfail,
555  $ nerrs, nout )
556 *
557  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
558 *
559 * Compute the residual for the solution
560 *
561  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
562  $ lda, rwork, result( 3 ) )
563 *
564 *+ TEST 4 (Using TRS2)
565 * Solve and compute residual for A * X = B.
566 *
567 * Choose a set of NRHS random solution vectors
568 * stored in XACT and set up the right hand side B
569 *
570  srnamt = 'ZLARHS'
571  CALL zlarhs( path, xtype, uplo, ' ', n, n, kl, ku,
572  $ nrhs, a, lda, xact, lda, b, lda,
573  $ iseed, info )
574  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
575 *
576  srnamt = 'ZSYTRS2'
577  CALL zsytrs2( uplo, n, nrhs, afac, lda, iwork, x,
578  $ lda, work, info )
579 *
580 * Check error code from ZSYTRS2 and handle error.
581 *
582  IF( info.NE.0 )
583  $ CALL alaerh( path, 'ZSYTRS', info, 0, uplo, n,
584  $ n, -1, -1, nrhs, imat, nfail,
585  $ nerrs, nout )
586 *
587  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
588 *
589 * Compute the residual for the solution
590 *
591  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
592  $ lda, rwork, result( 4 ) )
593 *
594 *
595 *+ TEST 5
596 * Check solution from generated exact solution.
597 *
598  CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
599  $ result( 5 ) )
600 *
601 *+ TESTS 6, 7, and 8
602 * Use iterative refinement to improve the solution.
603 *
604  srnamt = 'ZSYRFS'
605  CALL zsyrfs( uplo, n, nrhs, a, lda, afac, lda,
606  $ iwork, b, lda, x, lda, rwork,
607  $ rwork( nrhs+1 ), work,
608  $ rwork( 2*nrhs+1 ), info )
609 *
610 * Check error code from ZSYRFS and handle error.
611 *
612  IF( info.NE.0 )
613  $ CALL alaerh( path, 'ZSYRFS', info, 0, uplo, n,
614  $ n, -1, -1, nrhs, imat, nfail,
615  $ nerrs, nout )
616 *
617  CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
618  $ result( 6 ) )
619  CALL zpot05( uplo, n, nrhs, a, lda, b, lda, x, lda,
620  $ xact, lda, rwork, rwork( nrhs+1 ),
621  $ result( 7 ) )
622 *
623 * Print information about the tests that did not pass
624 * the threshold.
625 *
626  DO 120 k = 3, 8
627  IF( result( k ).GE.thresh ) THEN
628  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
629  $ CALL alahd( nout, path )
630  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
631  $ imat, k, result( k )
632  nfail = nfail + 1
633  END IF
634  120 CONTINUE
635  nrun = nrun + 6
636 *
637 * End do for each value of NRHS in NSVAL.
638 *
639  130 CONTINUE
640 *
641 *+ TEST 9
642 * Get an estimate of RCOND = 1/CNDNUM.
643 *
644  140 CONTINUE
645  anorm = zlansy( '1', uplo, n, a, lda, rwork )
646  srnamt = 'ZSYCON'
647  CALL zsycon( uplo, n, afac, lda, iwork, anorm, rcond,
648  $ work, info )
649 *
650 * Check error code from ZSYCON and handle error.
651 *
652  IF( info.NE.0 )
653  $ CALL alaerh( path, 'ZSYCON', info, 0, uplo, n, n,
654  $ -1, -1, -1, imat, nfail, nerrs, nout )
655 *
656 * Compute the test ratio to compare values of RCOND
657 *
658  result( 9 ) = dget06( rcond, rcondc )
659 *
660 * Print information about the tests that did not pass
661 * the threshold.
662 *
663  IF( result( 9 ).GE.thresh ) THEN
664  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
665  $ CALL alahd( nout, path )
666  WRITE( nout, fmt = 9997 )uplo, n, imat, 9,
667  $ result( 9 )
668  nfail = nfail + 1
669  END IF
670  nrun = nrun + 1
671  150 CONTINUE
672  160 CONTINUE
673  170 CONTINUE
674  180 CONTINUE
675 *
676 * Print a summary of the results.
677 *
678  CALL alasum( path, nout, nfail, nrun, nerrs )
679 *
680  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
681  $ i2, ', test ', i2, ', ratio =', g12.5 )
682  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
683  $ i2, ', test(', i2, ') =', g12.5 )
684  9997 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ',', 10x, ' type ', i2,
685  $ ', test(', i2, ') =', g12.5 )
686  RETURN
687 *
688 * End of ZCHKSY
689 *
690  END
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:107
subroutine zerrsy(PATH, NUNIT)
ZERRSY
Definition: zerrsy.f:57
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:104
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
subroutine zsycon(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO)
ZSYCON
Definition: zsycon.f:127
subroutine zsyt01(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01
Definition: zsyt01.f:127
subroutine zsytrs2(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, INFO)
ZSYTRS2
Definition: zsytrs2.f:134
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:105
subroutine zsytri2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZSYTRI2
Definition: zsytri2.f:129
subroutine zchksy(DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
ZCHKSY
Definition: zchksy.f:173
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:123
subroutine zsyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZSYT02
Definition: zsyt02.f:129
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
subroutine zsytrf(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZSYTRF
Definition: zsytrf.f:184
subroutine zlatsy(UPLO, N, X, LDX, ISEED)
ZLATSY
Definition: zlatsy.f:91
subroutine zsyrfs(UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO)
ZSYRFS
Definition: zsyrfs.f:194
subroutine zpot05(UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
ZPOT05
Definition: zpot05.f:167
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:334
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:211
subroutine zsyt03(UPLO, N, A, LDA, AINV, LDAINV, WORK, LDWORK, RWORK, RCOND, RESID)
ZSYT03
Definition: zsyt03.f:128
subroutine zsytrs(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
ZSYTRS
Definition: zsytrs.f:122
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75