LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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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 (NNB)
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*> \ingroup complex16_lin
166*
167* =====================================================================
168 SUBROUTINE zchksy( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
169 $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
170 $ XACT, WORK, RWORK, IWORK, NOUT )
171*
172* -- LAPACK test routine --
173* -- LAPACK is a software package provided by Univ. of Tennessee, --
174* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
175*
176* .. Scalar Arguments ..
177 LOGICAL TSTERR
178 INTEGER NMAX, NN, NNB, NNS, NOUT
179 DOUBLE PRECISION THRESH
180* ..
181* .. Array Arguments ..
182 LOGICAL DOTYPE( * )
183 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
184 DOUBLE PRECISION RWORK( * )
185 COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
186 $ work( * ), x( * ), xact( * )
187* ..
188*
189* =====================================================================
190*
191* .. Parameters ..
192 DOUBLE PRECISION ZERO
193 PARAMETER ( ZERO = 0.0d+0 )
194 COMPLEX*16 CZERO
195 parameter( czero = ( 0.0d+0, 0.0d+0 ) )
196 INTEGER NTYPES
197 parameter( ntypes = 11 )
198 INTEGER NTESTS
199 parameter( ntests = 9 )
200* ..
201* .. Local Scalars ..
202 LOGICAL TRFCON, ZEROT
203 CHARACTER DIST, TYPE, UPLO, XTYPE
204 CHARACTER*3 PATH
205 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
206 $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
207 $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
208 DOUBLE PRECISION ANORM, CNDNUM, RCOND, RCONDC
209* ..
210* .. Local Arrays ..
211 CHARACTER UPLOS( 2 )
212 INTEGER ISEED( 4 ), ISEEDY( 4 )
213 DOUBLE PRECISION RESULT( NTESTS )
214* ..
215* .. External Functions ..
216 DOUBLE PRECISION DGET06, ZLANSY
217 EXTERNAL DGET06, ZLANSY
218* ..
219* .. External Subroutines ..
220 EXTERNAL alaerh, alahd, alasum, xlaenv, zerrsy, zget04,
224* ..
225* .. Intrinsic Functions ..
226 INTRINSIC max, min
227* ..
228* .. Scalars in Common ..
229 LOGICAL LERR, OK
230 CHARACTER*32 SRNAMT
231 INTEGER INFOT, NUNIT
232* ..
233* .. Common blocks ..
234 COMMON / infoc / infot, nunit, ok, lerr
235 COMMON / srnamc / srnamt
236* ..
237* .. Data statements ..
238 DATA iseedy / 1988, 1989, 1990, 1991 /
239 DATA uplos / 'U', 'L' /
240* ..
241* .. Executable Statements ..
242*
243* Initialize constants and the random number seed.
244*
245 path( 1: 1 ) = 'Zomplex precision'
246 path( 2: 3 ) = 'SY'
247 nrun = 0
248 nfail = 0
249 nerrs = 0
250 DO 10 i = 1, 4
251 iseed( i ) = iseedy( i )
252 10 CONTINUE
253*
254* Test the error exits
255*
256 IF( tsterr )
257 $ CALL zerrsy( path, nout )
258 infot = 0
259*
260* Set the minimum block size for which the block routine should
261* be used, which will be later returned by ILAENV
262*
263 CALL xlaenv( 2, 2 )
264*
265* Do for each value of N in NVAL
266*
267 DO 180 in = 1, nn
268 n = nval( in )
269 lda = max( n, 1 )
270 xtype = 'N'
271 nimat = ntypes
272 IF( n.LE.0 )
273 $ nimat = 1
274*
275 izero = 0
276*
277* Do for each value of matrix type IMAT
278*
279 DO 170 imat = 1, nimat
280*
281* Do the tests only if DOTYPE( IMAT ) is true.
282*
283 IF( .NOT.dotype( imat ) )
284 $ GO TO 170
285*
286* Skip types 3, 4, 5, or 6 if the matrix size is too small.
287*
288 zerot = imat.GE.3 .AND. imat.LE.6
289 IF( zerot .AND. n.LT.imat-2 )
290 $ GO TO 170
291*
292* Do first for UPLO = 'U', then for UPLO = 'L'
293*
294 DO 160 iuplo = 1, 2
295 uplo = uplos( iuplo )
296*
297* Begin generate test matrix A.
298*
299 IF( imat.NE.ntypes ) THEN
300*
301* Set up parameters with ZLATB4 for the matrix generator
302* based on the type of matrix to be generated.
303*
304 CALL zlatb4( path, imat, n, n, TYPE, kl, ku, anorm,
305 $ mode, cndnum, dist )
306*
307* Generate a matrix with ZLATMS.
308*
309 srnamt = 'ZLATMS'
310 CALL zlatms( n, n, dist, iseed, TYPE, rwork, mode,
311 $ cndnum, anorm, kl, ku, 'N', a, lda, work,
312 $ info )
313*
314* Check error code from ZLATMS and handle error.
315*
316 IF( info.NE.0 ) THEN
317 CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
318 $ -1, -1, -1, imat, nfail, nerrs, nout )
319*
320* Skip all tests for this generated matrix
321*
322 GO TO 160
323 END IF
324*
325* For matrix types 3-6, zero one or more rows and
326* columns of the matrix to test that INFO is returned
327* correctly.
328*
329 IF( zerot ) THEN
330 IF( imat.EQ.3 ) THEN
331 izero = 1
332 ELSE IF( imat.EQ.4 ) THEN
333 izero = n
334 ELSE
335 izero = n / 2 + 1
336 END IF
337*
338 IF( imat.LT.6 ) THEN
339*
340* Set row and column IZERO to zero.
341*
342 IF( iuplo.EQ.1 ) THEN
343 ioff = ( izero-1 )*lda
344 DO 20 i = 1, izero - 1
345 a( ioff+i ) = czero
346 20 CONTINUE
347 ioff = ioff + izero
348 DO 30 i = izero, n
349 a( ioff ) = czero
350 ioff = ioff + lda
351 30 CONTINUE
352 ELSE
353 ioff = izero
354 DO 40 i = 1, izero - 1
355 a( ioff ) = czero
356 ioff = ioff + lda
357 40 CONTINUE
358 ioff = ioff - izero
359 DO 50 i = izero, n
360 a( ioff+i ) = czero
361 50 CONTINUE
362 END IF
363 ELSE
364 IF( iuplo.EQ.1 ) THEN
365*
366* Set the first IZERO rows to zero.
367*
368 ioff = 0
369 DO 70 j = 1, n
370 i2 = min( j, izero )
371 DO 60 i = 1, i2
372 a( ioff+i ) = czero
373 60 CONTINUE
374 ioff = ioff + lda
375 70 CONTINUE
376 ELSE
377*
378* Set the last IZERO rows to zero.
379*
380 ioff = 0
381 DO 90 j = 1, n
382 i1 = max( j, izero )
383 DO 80 i = i1, n
384 a( ioff+i ) = czero
385 80 CONTINUE
386 ioff = ioff + lda
387 90 CONTINUE
388 END IF
389 END IF
390 ELSE
391 izero = 0
392 END IF
393*
394 ELSE
395*
396* For matrix kind IMAT = 11, generate special block
397* diagonal matrix to test alternate code
398* for the 2 x 2 blocks.
399*
400 CALL zlatsy( uplo, n, a, lda, iseed )
401*
402 END IF
403*
404* End generate test matrix A.
405*
406*
407* Do for each value of NB in NBVAL
408*
409 DO 150 inb = 1, nnb
410*
411* Set the optimal blocksize, which will be later
412* returned by ILAENV.
413*
414 nb = nbval( inb )
415 CALL xlaenv( 1, nb )
416*
417* Copy the test matrix A into matrix AFAC which
418* will be factorized in place. This is needed to
419* preserve the test matrix A for subsequent tests.
420*
421 CALL zlacpy( uplo, n, n, a, lda, afac, lda )
422*
423* Compute the L*D*L**T or U*D*U**T factorization of the
424* matrix. IWORK stores details of the interchanges and
425* the block structure of D. AINV is a work array for
426* block factorization, LWORK is the length of AINV.
427*
428 lwork = max( 2, nb )*lda
429 srnamt = 'ZSYTRF'
430 CALL zsytrf( uplo, n, afac, lda, iwork, ainv, lwork,
431 $ info )
432*
433* Adjust the expected value of INFO to account for
434* pivoting.
435*
436 k = izero
437 IF( k.GT.0 ) THEN
438 100 CONTINUE
439 IF( iwork( k ).LT.0 ) THEN
440 IF( iwork( k ).NE.-k ) THEN
441 k = -iwork( k )
442 GO TO 100
443 END IF
444 ELSE IF( iwork( k ).NE.k ) THEN
445 k = iwork( k )
446 GO TO 100
447 END IF
448 END IF
449*
450* Check error code from ZSYTRF and handle error.
451*
452 IF( info.NE.k )
453 $ CALL alaerh( path, 'ZSYTRF', info, k, uplo, n, n,
454 $ -1, -1, nb, imat, nfail, nerrs, nout )
455*
456* Set the condition estimate flag if the INFO is not 0.
457*
458 IF( info.NE.0 ) THEN
459 trfcon = .true.
460 ELSE
461 trfcon = .false.
462 END IF
463*
464*+ TEST 1
465* Reconstruct matrix from factors and compute residual.
466*
467 CALL zsyt01( uplo, n, a, lda, afac, lda, iwork, ainv,
468 $ lda, rwork, result( 1 ) )
469 nt = 1
470*
471*+ TEST 2
472* Form the inverse and compute the residual,
473* if the factorization was competed without INFO > 0
474* (i.e. there is no zero rows and columns).
475* Do it only for the first block size.
476*
477 IF( inb.EQ.1 .AND. .NOT.trfcon ) THEN
478 CALL zlacpy( uplo, n, n, afac, lda, ainv, lda )
479 srnamt = 'ZSYTRI2'
480 lwork = (n+nb+1)*(nb+3)
481 CALL zsytri2( uplo, n, ainv, lda, iwork, work,
482 $ lwork, info )
483*
484* Check error code from ZSYTRI2 and handle error.
485*
486 IF( info.NE.0 )
487 $ CALL alaerh( path, 'ZSYTRI2', info, 0, uplo, n,
488 $ n, -1, -1, -1, imat, nfail, nerrs,
489 $ nout )
490*
491* Compute the residual for a symmetric matrix times
492* its inverse.
493*
494 CALL zsyt03( uplo, n, a, lda, ainv, lda, work, lda,
495 $ rwork, rcondc, result( 2 ) )
496 nt = 2
497 END IF
498*
499* Print information about the tests that did not pass
500* the threshold.
501*
502 DO 110 k = 1, nt
503 IF( result( k ).GE.thresh ) THEN
504 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
505 $ CALL alahd( nout, path )
506 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
507 $ result( k )
508 nfail = nfail + 1
509 END IF
510 110 CONTINUE
511 nrun = nrun + nt
512*
513* Skip the other tests if this is not the first block
514* size.
515*
516 IF( inb.GT.1 )
517 $ GO TO 150
518*
519* Do only the condition estimate if INFO is not 0.
520*
521 IF( trfcon ) THEN
522 rcondc = zero
523 GO TO 140
524 END IF
525*
526* Do for each value of NRHS in NSVAL.
527*
528 DO 130 irhs = 1, nns
529 nrhs = nsval( irhs )
530*
531*+ TEST 3 (Using TRS)
532* Solve and compute residual for A * X = B.
533*
534* Choose a set of NRHS random solution vectors
535* stored in XACT and set up the right hand side B
536*
537 srnamt = 'ZLARHS'
538 CALL zlarhs( path, xtype, uplo, ' ', n, n, kl, ku,
539 $ nrhs, a, lda, xact, lda, b, lda,
540 $ iseed, info )
541 CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
542*
543 srnamt = 'ZSYTRS'
544 CALL zsytrs( uplo, n, nrhs, afac, lda, iwork, x,
545 $ lda, info )
546*
547* Check error code from ZSYTRS and handle error.
548*
549 IF( info.NE.0 )
550 $ CALL alaerh( path, 'ZSYTRS', info, 0, uplo, n,
551 $ n, -1, -1, nrhs, imat, nfail,
552 $ nerrs, nout )
553*
554 CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
555*
556* Compute the residual for the solution
557*
558 CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
559 $ lda, rwork, result( 3 ) )
560*
561*+ TEST 4 (Using TRS2)
562* Solve and compute residual for A * X = B.
563*
564* Choose a set of NRHS random solution vectors
565* stored in XACT and set up the right hand side B
566*
567 srnamt = 'ZLARHS'
568 CALL zlarhs( path, xtype, uplo, ' ', n, n, kl, ku,
569 $ nrhs, a, lda, xact, lda, b, lda,
570 $ iseed, info )
571 CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
572*
573 srnamt = 'ZSYTRS2'
574 CALL zsytrs2( uplo, n, nrhs, afac, lda, iwork, x,
575 $ lda, work, info )
576*
577* Check error code from ZSYTRS2 and handle error.
578*
579 IF( info.NE.0 )
580 $ CALL alaerh( path, 'ZSYTRS', info, 0, uplo, n,
581 $ n, -1, -1, nrhs, imat, nfail,
582 $ nerrs, nout )
583*
584 CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
585*
586* Compute the residual for the solution
587*
588 CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
589 $ lda, rwork, result( 4 ) )
590*
591*
592*+ TEST 5
593* Check solution from generated exact solution.
594*
595 CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
596 $ result( 5 ) )
597*
598*+ TESTS 6, 7, and 8
599* Use iterative refinement to improve the solution.
600*
601 srnamt = 'ZSYRFS'
602 CALL zsyrfs( uplo, n, nrhs, a, lda, afac, lda,
603 $ iwork, b, lda, x, lda, rwork,
604 $ rwork( nrhs+1 ), work,
605 $ rwork( 2*nrhs+1 ), info )
606*
607* Check error code from ZSYRFS and handle error.
608*
609 IF( info.NE.0 )
610 $ CALL alaerh( path, 'ZSYRFS', info, 0, uplo, n,
611 $ n, -1, -1, nrhs, imat, nfail,
612 $ nerrs, nout )
613*
614 CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
615 $ result( 6 ) )
616 CALL zpot05( uplo, n, nrhs, a, lda, b, lda, x, lda,
617 $ xact, lda, rwork, rwork( nrhs+1 ),
618 $ result( 7 ) )
619*
620* Print information about the tests that did not pass
621* the threshold.
622*
623 DO 120 k = 3, 8
624 IF( result( k ).GE.thresh ) THEN
625 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
626 $ CALL alahd( nout, path )
627 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
628 $ imat, k, result( k )
629 nfail = nfail + 1
630 END IF
631 120 CONTINUE
632 nrun = nrun + 6
633*
634* End do for each value of NRHS in NSVAL.
635*
636 130 CONTINUE
637*
638*+ TEST 9
639* Get an estimate of RCOND = 1/CNDNUM.
640*
641 140 CONTINUE
642 anorm = zlansy( '1', uplo, n, a, lda, rwork )
643 srnamt = 'ZSYCON'
644 CALL zsycon( uplo, n, afac, lda, iwork, anorm, rcond,
645 $ work, info )
646*
647* Check error code from ZSYCON and handle error.
648*
649 IF( info.NE.0 )
650 $ CALL alaerh( path, 'ZSYCON', info, 0, uplo, n, n,
651 $ -1, -1, -1, imat, nfail, nerrs, nout )
652*
653* Compute the test ratio to compare values of RCOND
654*
655 result( 9 ) = dget06( rcond, rcondc )
656*
657* Print information about the tests that did not pass
658* the threshold.
659*
660 IF( result( 9 ).GE.thresh ) THEN
661 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
662 $ CALL alahd( nout, path )
663 WRITE( nout, fmt = 9997 )uplo, n, imat, 9,
664 $ result( 9 )
665 nfail = nfail + 1
666 END IF
667 nrun = nrun + 1
668 150 CONTINUE
669 160 CONTINUE
670 170 CONTINUE
671 180 CONTINUE
672*
673* Print a summary of the results.
674*
675 CALL alasum( path, nout, nfail, nrun, nerrs )
676*
677 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
678 $ i2, ', test ', i2, ', ratio =', g12.5 )
679 9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
680 $ i2, ', test(', i2, ') =', g12.5 )
681 9997 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ',', 10x, ' type ', i2,
682 $ ', test(', i2, ') =', g12.5 )
683 RETURN
684*
685* End of ZCHKSY
686*
687 END
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
subroutine zlarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
ZLARHS
Definition zlarhs.f:208
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
subroutine zsycon(uplo, n, a, lda, ipiv, anorm, rcond, work, info)
ZSYCON
Definition zsycon.f:125
subroutine zsyrfs(uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, rwork, info)
ZSYRFS
Definition zsyrfs.f:192
subroutine zsytrf(uplo, n, a, lda, ipiv, work, lwork, info)
ZSYTRF
Definition zsytrf.f:182
subroutine zsytri2(uplo, n, a, lda, ipiv, work, lwork, info)
ZSYTRI2
Definition zsytri2.f:127
subroutine zsytrs2(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
ZSYTRS2
Definition zsytrs2.f:132
subroutine zsytrs(uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
ZSYTRS
Definition zsytrs.f:120
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
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:171
subroutine zerrsy(path, nunit)
ZERRSY
Definition zerrsy.f:55
subroutine zget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
ZGET04
Definition zget04.f:102
subroutine zlatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
ZLATB4
Definition zlatb4.f:121
subroutine zlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
ZLATMS
Definition zlatms.f:332
subroutine zlatsy(uplo, n, x, ldx, iseed)
ZLATSY
Definition zlatsy.f:89
subroutine zpot05(uplo, n, nrhs, a, lda, b, ldb, x, ldx, xact, ldxact, ferr, berr, reslts)
ZPOT05
Definition zpot05.f:165
subroutine zsyt01(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
ZSYT01
Definition zsyt01.f:125
subroutine zsyt02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZSYT02
Definition zsyt02.f:127
subroutine zsyt03(uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)
ZSYT03
Definition zsyt03.f:126