LAPACK  3.9.0
LAPACK: Linear Algebra PACKage
zchksy_rook.f
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1 *> \brief \b ZCHKSY_ROOK
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_ROOK( 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_ROOK tests ZSYTRF_ROOK, -TRI_ROOK, -TRS_ROOK,
35 *> and -CON_ROOK.
36 *> \endverbatim
37 *
38 * Arguments:
39 * ==========
40 *
41 *> \param[in] DOTYPE
42 *> \verbatim
43 *> DOTYPE is LOGICAL array, dimension (NTYPES)
44 *> The matrix types to be used for testing. Matrices of type j
45 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
46 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
47 *> \endverbatim
48 *>
49 *> \param[in] NN
50 *> \verbatim
51 *> NN is INTEGER
52 *> The number of values of N contained in the vector NVAL.
53 *> \endverbatim
54 *>
55 *> \param[in] NVAL
56 *> \verbatim
57 *> NVAL is INTEGER array, dimension (NN)
58 *> The values of the matrix dimension N.
59 *> \endverbatim
60 *>
61 *> \param[in] NNB
62 *> \verbatim
63 *> NNB is INTEGER
64 *> The number of values of NB contained in the vector NBVAL.
65 *> \endverbatim
66 *>
67 *> \param[in] NBVAL
68 *> \verbatim
69 *> NBVAL is INTEGER array, dimension (NBVAL)
70 *> The values of the blocksize NB.
71 *> \endverbatim
72 *>
73 *> \param[in] NNS
74 *> \verbatim
75 *> NNS is INTEGER
76 *> The number of values of NRHS contained in the vector NSVAL.
77 *> \endverbatim
78 *>
79 *> \param[in] NSVAL
80 *> \verbatim
81 *> NSVAL is INTEGER array, dimension (NNS)
82 *> The values of the number of right hand sides NRHS.
83 *> \endverbatim
84 *>
85 *> \param[in] THRESH
86 *> \verbatim
87 *> THRESH is DOUBLE PRECISION
88 *> The threshold value for the test ratios. A result is
89 *> included in the output file if RESULT >= THRESH. To have
90 *> every test ratio printed, use THRESH = 0.
91 *> \endverbatim
92 *>
93 *> \param[in] TSTERR
94 *> \verbatim
95 *> TSTERR is LOGICAL
96 *> Flag that indicates whether error exits are to be tested.
97 *> \endverbatim
98 *>
99 *> \param[in] NMAX
100 *> \verbatim
101 *> NMAX is INTEGER
102 *> The maximum value permitted for N, used in dimensioning the
103 *> work arrays.
104 *> \endverbatim
105 *>
106 *> \param[out] A
107 *> \verbatim
108 *> A is COMPLEX*16 array, dimension (NMAX*NMAX)
109 *> \endverbatim
110 *>
111 *> \param[out] AFAC
112 *> \verbatim
113 *> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
114 *> \endverbatim
115 *>
116 *> \param[out] AINV
117 *> \verbatim
118 *> AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
119 *> \endverbatim
120 *>
121 *> \param[out] B
122 *> \verbatim
123 *> B is COMPLEX*16 array, dimension (NMAX*NSMAX)
124 *> where NSMAX is the largest entry in NSVAL.
125 *> \endverbatim
126 *>
127 *> \param[out] X
128 *> \verbatim
129 *> X is COMPLEX*16 array, dimension (NMAX*NSMAX)
130 *> \endverbatim
131 *>
132 *> \param[out] XACT
133 *> \verbatim
134 *> XACT is COMPLEX*16 array, dimension (NMAX*NSMAX)
135 *> \endverbatim
136 *>
137 *> \param[out] WORK
138 *> \verbatim
139 *> WORK is COMPLEX*16 array, dimension (NMAX*max(3,NSMAX))
140 *> \endverbatim
141 *>
142 *> \param[out] RWORK
143 *> \verbatim
144 *> RWORK is DOUBLE PRECISION array, dimension (max(NMAX,2*NSMAX))
145 *> \endverbatim
146 *>
147 *> \param[out] IWORK
148 *> \verbatim
149 *> IWORK is INTEGER array, dimension (2*NMAX)
150 *> \endverbatim
151 *>
152 *> \param[in] NOUT
153 *> \verbatim
154 *> NOUT is INTEGER
155 *> The unit number for output.
156 *> \endverbatim
157 *
158 * Authors:
159 * ========
160 *
161 *> \author Univ. of Tennessee
162 *> \author Univ. of California Berkeley
163 *> \author Univ. of Colorado Denver
164 *> \author NAG Ltd.
165 *
166 *> \date December 2016
167 *
168 *> \ingroup complex16_lin
169 *
170 * =====================================================================
171  SUBROUTINE zchksy_rook( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
172  $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
173  $ XACT, WORK, RWORK, IWORK, NOUT )
174 *
175 * -- LAPACK test routine (version 3.7.0) --
176 * -- LAPACK is a software package provided by Univ. of Tennessee, --
177 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
178 * December 2016
179 *
180 * .. Scalar Arguments ..
181  LOGICAL tsterr
182  INTEGER nmax, nn, nnb, nns, nout
183  DOUBLE PRECISION thresh
184 * ..
185 * .. Array Arguments ..
186  LOGICAL dotype( * )
187  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
188  DOUBLE PRECISION RWORK( * )
189  COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
190  $ work( * ), x( * ), xact( * )
191 * ..
192 *
193 * =====================================================================
194 *
195 * .. Parameters ..
196  DOUBLE PRECISION ZERO, ONE
197  PARAMETER ( ZERO = 0.0d+0, one = 1.0d+0 )
198  DOUBLE PRECISION ONEHALF
199  parameter( onehalf = 0.5d+0 )
200  DOUBLE PRECISION EIGHT, SEVTEN
201  parameter( eight = 8.0d+0, sevten = 17.0d+0 )
202  COMPLEX*16 CZERO
203  parameter( czero = ( 0.0d+0, 0.0d+0 ) )
204  INTEGER NTYPES
205  parameter( ntypes = 11 )
206  INTEGER NTESTS
207  parameter( ntests = 7 )
208 * ..
209 * .. Local Scalars ..
210  LOGICAL TRFCON, ZEROT
211  CHARACTER DIST, TYPE, UPLO, XTYPE
212  CHARACTER*3 PATH, MATPATH
213  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
214  $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
215  $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
216  DOUBLE PRECISION ALPHA, ANORM, CNDNUM, CONST, DTEMP, SING_MAX,
217  $ SING_MIN, RCOND, RCONDC
218 * ..
219 * .. Local Arrays ..
220  CHARACTER UPLOS( 2 )
221  INTEGER ISEED( 4 ), ISEEDY( 4 )
222  DOUBLE PRECISION RESULT( NTESTS )
223  COMPLEX*16 BLOCK( 2, 2 ), ZDUMMY( 1 )
224 * ..
225 * .. External Functions ..
226  DOUBLE PRECISION DGET06, ZLANGE, ZLANSY
227  EXTERNAL DGET06, ZLANGE, ZLANSY
228 * ..
229 * .. External Subroutines ..
230  EXTERNAL alaerh, alahd, alasum, zerrsy, zgesvd, zget04,
231  $ zlacpy, zlarhs, zlatb4, zlatms, zlatsy,zsyt02,
232  $ zsyt03, zsycon_rook, zsyt01_rook, zsytrf_rook,
233  $ zsytri_rook, zsytrs_rook, xlaenv
234 * ..
235 * .. Intrinsic Functions ..
236  INTRINSIC max, min, sqrt
237 * ..
238 * .. Scalars in Common ..
239  LOGICAL LERR, OK
240  CHARACTER*32 SRNAMT
241  INTEGER INFOT, NUNIT
242 * ..
243 * .. Common blocks ..
244  COMMON / infoc / infot, nunit, ok, lerr
245  COMMON / srnamc / srnamt
246 * ..
247 * .. Data statements ..
248  DATA iseedy / 1988, 1989, 1990, 1991 /
249  DATA uplos / 'U', 'L' /
250 * ..
251 * .. Executable Statements ..
252 *
253 * Initialize constants and the random number seed.
254 *
255  alpha = ( one+sqrt( sevten ) ) / eight
256 *
257 * Test path
258 *
259  path( 1: 1 ) = 'Zomplex precision'
260  path( 2: 3 ) = 'SR'
261 *
262 * Path to generate matrices
263 *
264  matpath( 1: 1 ) = 'Zomplex precision'
265  matpath( 2: 3 ) = 'SY'
266 *
267  nrun = 0
268  nfail = 0
269  nerrs = 0
270  DO 10 i = 1, 4
271  iseed( i ) = iseedy( i )
272  10 CONTINUE
273 *
274 * Test the error exits
275 *
276  IF( tsterr )
277  $ CALL zerrsy( path, nout )
278  infot = 0
279 *
280 * Set the minimum block size for which the block routine should
281 * be used, which will be later returned by ILAENV
282 *
283  CALL xlaenv( 2, 2 )
284 *
285 * Do for each value of N in NVAL
286 *
287  DO 270 in = 1, nn
288  n = nval( in )
289  lda = max( n, 1 )
290  xtype = 'N'
291  nimat = ntypes
292  IF( n.LE.0 )
293  $ nimat = 1
294 *
295  izero = 0
296 *
297 * Do for each value of matrix type IMAT
298 *
299  DO 260 imat = 1, nimat
300 *
301 * Do the tests only if DOTYPE( IMAT ) is true.
302 *
303  IF( .NOT.dotype( imat ) )
304  $ GO TO 260
305 *
306 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
307 *
308  zerot = imat.GE.3 .AND. imat.LE.6
309  IF( zerot .AND. n.LT.imat-2 )
310  $ GO TO 260
311 *
312 * Do first for UPLO = 'U', then for UPLO = 'L'
313 *
314  DO 250 iuplo = 1, 2
315  uplo = uplos( iuplo )
316 *
317 * Begin generate test matrix A.
318 *
319  IF( imat.NE.ntypes ) THEN
320 *
321 * Set up parameters with ZLATB4 for the matrix generator
322 * based on the type of matrix to be generated.
323 *
324  CALL zlatb4( matpath, imat, n, n, TYPE, kl, ku, anorm,
325  $ mode, cndnum, dist )
326 *
327 * Generate a matrix with ZLATMS.
328 *
329  srnamt = 'ZLATMS'
330  CALL zlatms( n, n, dist, iseed, TYPE, rwork, mode,
331  $ cndnum, anorm, kl, ku, uplo, a, lda,
332  $ work, info )
333 *
334 * Check error code from ZLATMS and handle error.
335 *
336  IF( info.NE.0 ) THEN
337  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
338  $ -1, -1, -1, imat, nfail, nerrs, nout )
339 *
340 * Skip all tests for this generated matrix
341 *
342  GO TO 250
343  END IF
344 *
345 * For matrix types 3-6, zero one or more rows and
346 * columns of the matrix to test that INFO is returned
347 * correctly.
348 *
349  IF( zerot ) THEN
350  IF( imat.EQ.3 ) THEN
351  izero = 1
352  ELSE IF( imat.EQ.4 ) THEN
353  izero = n
354  ELSE
355  izero = n / 2 + 1
356  END IF
357 *
358  IF( imat.LT.6 ) THEN
359 *
360 * Set row and column IZERO to zero.
361 *
362  IF( iuplo.EQ.1 ) THEN
363  ioff = ( izero-1 )*lda
364  DO 20 i = 1, izero - 1
365  a( ioff+i ) = czero
366  20 CONTINUE
367  ioff = ioff + izero
368  DO 30 i = izero, n
369  a( ioff ) = czero
370  ioff = ioff + lda
371  30 CONTINUE
372  ELSE
373  ioff = izero
374  DO 40 i = 1, izero - 1
375  a( ioff ) = czero
376  ioff = ioff + lda
377  40 CONTINUE
378  ioff = ioff - izero
379  DO 50 i = izero, n
380  a( ioff+i ) = czero
381  50 CONTINUE
382  END IF
383  ELSE
384  IF( iuplo.EQ.1 ) THEN
385 *
386 * Set the first IZERO rows and columns to zero.
387 *
388  ioff = 0
389  DO 70 j = 1, n
390  i2 = min( j, izero )
391  DO 60 i = 1, i2
392  a( ioff+i ) = czero
393  60 CONTINUE
394  ioff = ioff + lda
395  70 CONTINUE
396  ELSE
397 *
398 * Set the last IZERO rows and columns to zero.
399 *
400  ioff = 0
401  DO 90 j = 1, n
402  i1 = max( j, izero )
403  DO 80 i = i1, n
404  a( ioff+i ) = czero
405  80 CONTINUE
406  ioff = ioff + lda
407  90 CONTINUE
408  END IF
409  END IF
410  ELSE
411  izero = 0
412  END IF
413 *
414  ELSE
415 *
416 * For matrix kind IMAT = 11, generate special block
417 * diagonal matrix to test alternate code
418 * for the 2 x 2 blocks.
419 *
420  CALL zlatsy( uplo, n, a, lda, iseed )
421 *
422  END IF
423 *
424 * End generate test matrix A.
425 *
426 *
427 * Do for each value of NB in NBVAL
428 *
429  DO 240 inb = 1, nnb
430 *
431 * Set the optimal blocksize, which will be later
432 * returned by ILAENV.
433 *
434  nb = nbval( inb )
435  CALL xlaenv( 1, nb )
436 *
437 * Copy the test matrix A into matrix AFAC which
438 * will be factorized in place. This is needed to
439 * preserve the test matrix A for subsequent tests.
440 *
441  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
442 *
443 * Compute the L*D*L**T or U*D*U**T factorization of the
444 * matrix. IWORK stores details of the interchanges and
445 * the block structure of D. AINV is a work array for
446 * block factorization, LWORK is the length of AINV.
447 *
448  lwork = max( 2, nb )*lda
449  srnamt = 'ZSYTRF_ROOK'
450  CALL zsytrf_rook( uplo, n, afac, lda, iwork, ainv,
451  $ lwork, info )
452 *
453 * Adjust the expected value of INFO to account for
454 * pivoting.
455 *
456  k = izero
457  IF( k.GT.0 ) THEN
458  100 CONTINUE
459  IF( iwork( k ).LT.0 ) THEN
460  IF( iwork( k ).NE.-k ) THEN
461  k = -iwork( k )
462  GO TO 100
463  END IF
464  ELSE IF( iwork( k ).NE.k ) THEN
465  k = iwork( k )
466  GO TO 100
467  END IF
468  END IF
469 *
470 * Check error code from ZSYTRF_ROOK and handle error.
471 *
472  IF( info.NE.k)
473  $ CALL alaerh( path, 'ZSYTRF_ROOK', info, k,
474  $ uplo, n, n, -1, -1, nb, imat,
475  $ nfail, nerrs, nout )
476 *
477 * Set the condition estimate flag if the INFO is not 0.
478 *
479  IF( info.NE.0 ) THEN
480  trfcon = .true.
481  ELSE
482  trfcon = .false.
483  END IF
484 *
485 *+ TEST 1
486 * Reconstruct matrix from factors and compute residual.
487 *
488  CALL zsyt01_rook( uplo, n, a, lda, afac, lda, iwork,
489  $ ainv, lda, rwork, result( 1 ) )
490  nt = 1
491 *
492 *+ TEST 2
493 * Form the inverse and compute the residual,
494 * if the factorization was competed without INFO > 0
495 * (i.e. there is no zero rows and columns).
496 * Do it only for the first block size.
497 *
498  IF( inb.EQ.1 .AND. .NOT.trfcon ) THEN
499  CALL zlacpy( uplo, n, n, afac, lda, ainv, lda )
500  srnamt = 'ZSYTRI_ROOK'
501  CALL zsytri_rook( uplo, n, ainv, lda, iwork, work,
502  $ info )
503 *
504 * Check error code from ZSYTRI_ROOK and handle error.
505 *
506  IF( info.NE.0 )
507  $ CALL alaerh( path, 'ZSYTRI_ROOK', info, -1,
508  $ uplo, n, n, -1, -1, -1, imat,
509  $ nfail, nerrs, nout )
510 *
511 * Compute the residual for a symmetric matrix times
512 * its inverse.
513 *
514  CALL zsyt03( uplo, n, a, lda, ainv, lda, work, lda,
515  $ rwork, rcondc, result( 2 ) )
516  nt = 2
517  END IF
518 *
519 * Print information about the tests that did not pass
520 * the threshold.
521 *
522  DO 110 k = 1, nt
523  IF( result( k ).GE.thresh ) THEN
524  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
525  $ CALL alahd( nout, path )
526  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
527  $ result( k )
528  nfail = nfail + 1
529  END IF
530  110 CONTINUE
531  nrun = nrun + nt
532 *
533 *+ TEST 3
534 * Compute largest element in U or L
535 *
536  result( 3 ) = zero
537  dtemp = zero
538 *
539  const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) ) /
540  $ ( one-alpha )
541 *
542  IF( iuplo.EQ.1 ) THEN
543 *
544 * Compute largest element in U
545 *
546  k = n
547  120 CONTINUE
548  IF( k.LE.1 )
549  $ GO TO 130
550 *
551  IF( iwork( k ).GT.zero ) THEN
552 *
553 * Get max absolute value from elements
554 * in column k in in U
555 *
556  dtemp = zlange( 'M', k-1, 1,
557  $ afac( ( k-1 )*lda+1 ), lda, rwork )
558  ELSE
559 *
560 * Get max absolute value from elements
561 * in columns k and k-1 in U
562 *
563  dtemp = zlange( 'M', k-2, 2,
564  $ afac( ( k-2 )*lda+1 ), lda, rwork )
565  k = k - 1
566 *
567  END IF
568 *
569 * DTEMP should be bounded by CONST
570 *
571  dtemp = dtemp - const + thresh
572  IF( dtemp.GT.result( 3 ) )
573  $ result( 3 ) = dtemp
574 *
575  k = k - 1
576 *
577  GO TO 120
578  130 CONTINUE
579 *
580  ELSE
581 *
582 * Compute largest element in L
583 *
584  k = 1
585  140 CONTINUE
586  IF( k.GE.n )
587  $ GO TO 150
588 *
589  IF( iwork( k ).GT.zero ) THEN
590 *
591 * Get max absolute value from elements
592 * in column k in in L
593 *
594  dtemp = zlange( 'M', n-k, 1,
595  $ afac( ( k-1 )*lda+k+1 ), lda, rwork )
596  ELSE
597 *
598 * Get max absolute value from elements
599 * in columns k and k+1 in L
600 *
601  dtemp = zlange( 'M', n-k-1, 2,
602  $ afac( ( k-1 )*lda+k+2 ), lda, rwork )
603  k = k + 1
604 *
605  END IF
606 *
607 * DTEMP should be bounded by CONST
608 *
609  dtemp = dtemp - const + thresh
610  IF( dtemp.GT.result( 3 ) )
611  $ result( 3 ) = dtemp
612 *
613  k = k + 1
614 *
615  GO TO 140
616  150 CONTINUE
617  END IF
618 *
619 *
620 *+ TEST 4
621 * Compute largest 2-Norm (condition number)
622 * of 2-by-2 diag blocks
623 *
624  result( 4 ) = zero
625  dtemp = zero
626 *
627  const = ( ( alpha**2-one ) / ( alpha**2-onehalf ) )*
628  $ ( ( one + alpha ) / ( one - alpha ) )
629 *
630  IF( iuplo.EQ.1 ) THEN
631 *
632 * Loop backward for UPLO = 'U'
633 *
634  k = n
635  160 CONTINUE
636  IF( k.LE.1 )
637  $ GO TO 170
638 *
639  IF( iwork( k ).LT.zero ) THEN
640 *
641 * Get the two singular values
642 * (real and non-negative) of a 2-by-2 block,
643 * store them in RWORK array
644 *
645  block( 1, 1 ) = afac( ( k-2 )*lda+k-1 )
646  block( 1, 2 ) = afac( (k-1)*lda+k-1 )
647  block( 2, 1 ) = block( 1, 2 )
648  block( 2, 2 ) = afac( (k-1)*lda+k )
649 *
650  CALL zgesvd( 'N', 'N', 2, 2, block, 2, rwork,
651  $ zdummy, 1, zdummy, 1,
652  $ work, 6, rwork( 3 ), info )
653 *
654 *
655  sing_max = rwork( 1 )
656  sing_min = rwork( 2 )
657 *
658  dtemp = sing_max / sing_min
659 *
660 * DTEMP should be bounded by CONST
661 *
662  dtemp = dtemp - const + thresh
663  IF( dtemp.GT.result( 4 ) )
664  $ result( 4 ) = dtemp
665  k = k - 1
666 *
667  END IF
668 *
669  k = k - 1
670 *
671  GO TO 160
672  170 CONTINUE
673 *
674  ELSE
675 *
676 * Loop forward for UPLO = 'L'
677 *
678  k = 1
679  180 CONTINUE
680  IF( k.GE.n )
681  $ GO TO 190
682 *
683  IF( iwork( k ).LT.zero ) THEN
684 *
685 * Get the two singular values
686 * (real and non-negative) of a 2-by-2 block,
687 * store them in RWORK array
688 *
689  block( 1, 1 ) = afac( ( k-1 )*lda+k )
690  block( 2, 1 ) = afac( ( k-1 )*lda+k+1 )
691  block( 1, 2 ) = block( 2, 1 )
692  block( 2, 2 ) = afac( k*lda+k+1 )
693 *
694  CALL zgesvd( 'N', 'N', 2, 2, block, 2, rwork,
695  $ zdummy, 1, zdummy, 1,
696  $ work, 6, rwork(3), info )
697 *
698  sing_max = rwork( 1 )
699  sing_min = rwork( 2 )
700 *
701  dtemp = sing_max / sing_min
702 *
703 * DTEMP should be bounded by CONST
704 *
705  dtemp = dtemp - const + thresh
706  IF( dtemp.GT.result( 4 ) )
707  $ result( 4 ) = dtemp
708  k = k + 1
709 *
710  END IF
711 *
712  k = k + 1
713 *
714  GO TO 180
715  190 CONTINUE
716  END IF
717 *
718 * Print information about the tests that did not pass
719 * the threshold.
720 *
721  DO 200 k = 3, 4
722  IF( result( k ).GE.thresh ) THEN
723  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
724  $ CALL alahd( nout, path )
725  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
726  $ result( k )
727  nfail = nfail + 1
728  END IF
729  200 CONTINUE
730  nrun = nrun + 2
731 *
732 * Skip the other tests if this is not the first block
733 * size.
734 *
735  IF( inb.GT.1 )
736  $ GO TO 240
737 *
738 * Do only the condition estimate if INFO is not 0.
739 *
740  IF( trfcon ) THEN
741  rcondc = zero
742  GO TO 230
743  END IF
744 *
745 * Do for each value of NRHS in NSVAL.
746 *
747  DO 220 irhs = 1, nns
748  nrhs = nsval( irhs )
749 *
750 *+ TEST 5 ( Using TRS_ROOK)
751 * Solve and compute residual for A * X = B.
752 *
753 * Choose a set of NRHS random solution vectors
754 * stored in XACT and set up the right hand side B
755 *
756  srnamt = 'ZLARHS'
757  CALL zlarhs( matpath, xtype, uplo, ' ', n, n,
758  $ kl, ku, nrhs, a, lda, xact, lda,
759  $ b, lda, iseed, info )
760  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
761 *
762  srnamt = 'ZSYTRS_ROOK'
763  CALL zsytrs_rook( uplo, n, nrhs, afac, lda, iwork,
764  $ x, lda, info )
765 *
766 * Check error code from ZSYTRS_ROOK and handle error.
767 *
768  IF( info.NE.0 )
769  $ CALL alaerh( path, 'ZSYTRS_ROOK', info, 0,
770  $ uplo, n, n, -1, -1, nrhs, imat,
771  $ nfail, nerrs, nout )
772 *
773  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
774 *
775 * Compute the residual for the solution
776 *
777  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
778  $ lda, rwork, result( 5 ) )
779 *
780 *+ TEST 6
781 * Check solution from generated exact solution.
782 *
783  CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
784  $ result( 6 ) )
785 *
786 * Print information about the tests that did not pass
787 * the threshold.
788 *
789  DO 210 k = 5, 6
790  IF( result( k ).GE.thresh ) THEN
791  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
792  $ CALL alahd( nout, path )
793  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
794  $ imat, k, result( k )
795  nfail = nfail + 1
796  END IF
797  210 CONTINUE
798  nrun = nrun + 2
799 *
800 * End do for each value of NRHS in NSVAL.
801 *
802  220 CONTINUE
803 *
804 *+ TEST 7
805 * Get an estimate of RCOND = 1/CNDNUM.
806 *
807  230 CONTINUE
808  anorm = zlansy( '1', uplo, n, a, lda, rwork )
809  srnamt = 'ZSYCON_ROOK'
810  CALL zsycon_rook( uplo, n, afac, lda, iwork, anorm,
811  $ rcond, work, info )
812 *
813 * Check error code from ZSYCON_ROOK and handle error.
814 *
815  IF( info.NE.0 )
816  $ CALL alaerh( path, 'ZSYCON_ROOK', info, 0,
817  $ uplo, n, n, -1, -1, -1, imat,
818  $ nfail, nerrs, nout )
819 *
820 * Compute the test ratio to compare values of RCOND
821 *
822  result( 7 ) = dget06( rcond, rcondc )
823 *
824 * Print information about the tests that did not pass
825 * the threshold.
826 *
827  IF( result( 7 ).GE.thresh ) THEN
828  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
829  $ CALL alahd( nout, path )
830  WRITE( nout, fmt = 9997 )uplo, n, imat, 7,
831  $ result( 7 )
832  nfail = nfail + 1
833  END IF
834  nrun = nrun + 1
835  240 CONTINUE
836 *
837  250 CONTINUE
838  260 CONTINUE
839  270 CONTINUE
840 *
841 * Print a summary of the results.
842 *
843  CALL alasum( path, nout, nfail, nrun, nerrs )
844 *
845  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
846  $ i2, ', test ', i2, ', ratio =', g12.5 )
847  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
848  $ i2, ', test(', i2, ') =', g12.5 )
849  9997 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ',', 10x, ' type ', i2,
850  $ ', test(', i2, ') =', g12.5 )
851  RETURN
852 *
853 * End of ZCHKSY_ROOK
854 *
855  END
zsytrf_rook
subroutine zsytrf_rook(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZSYTRF_ROOK
Definition: zsytrf_rook.f:210
zsytri_rook
subroutine zsytri_rook(UPLO, N, A, LDA, IPIV, WORK, INFO)
ZSYTRI_ROOK
Definition: zsytri_rook.f:131
zlarhs
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:211
zsycon_rook
subroutine zsycon_rook(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, INFO)
ZSYCON_ROOK
Definition: zsycon_rook.f:141
zsyt01_rook
subroutine zsyt01_rook(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01_ROOK
Definition: zsyt01_rook.f:127
zchksy_rook
subroutine zchksy_rook(DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
ZCHKSY_ROOK
Definition: zchksy_rook.f:174
alahd
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:109
zgesvd
subroutine zgesvd(JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, RWORK, INFO)
ZGESVD computes the singular value decomposition (SVD) for GE matrices
Definition: zgesvd.f:216
zsytrs_rook
subroutine zsytrs_rook(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
ZSYTRS_ROOK
Definition: zsytrs_rook.f:138
zsyt03
subroutine zsyt03(UPLO, N, A, LDA, AINV, LDAINV, WORK, LDWORK, RWORK, RCOND, RESID)
ZSYT03
Definition: zsyt03.f:128
zget04
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:104
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:105
zsyt02
subroutine zsyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZSYT02
Definition: zsyt02.f:129
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
zerrsy
subroutine zerrsy(PATH, NUNIT)
ZERRSY
Definition: zerrsy.f:57
alasum
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75
zlatb4
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:123
zlatsy
subroutine zlatsy(UPLO, N, X, LDX, ISEED)
ZLATSY
Definition: zlatsy.f:91
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
zlatms
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:334