LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ zdrvsy_rk()

subroutine zdrvsy_rk ( logical, dimension( * )  dotype,
integer  nn,
integer, dimension( * )  nval,
integer  nrhs,
double precision  thresh,
logical  tsterr,
integer  nmax,
complex*16, dimension( * )  a,
complex*16, dimension( * )  afac,
complex*16, dimension( * )  e,
complex*16, dimension( * )  ainv,
complex*16, dimension( * )  b,
complex*16, dimension( * )  x,
complex*16, dimension( * )  xact,
complex*16, dimension( * )  work,
double precision, dimension( * )  rwork,
integer, dimension( * )  iwork,
integer  nout 
)

ZDRVSY_RK

Purpose:
 ZDRVSY_RK tests the driver routines ZSYSV_RK.
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 COMPLEX*16 array, dimension (NMAX*NMAX)
[out]AFAC
          AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]E
          E is COMPLEX*16 array, dimension (NMAX)
[out]AINV
          AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]B
          B is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]X
          X is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]XACT
          XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
[out]WORK
          WORK is COMPLEX*16 array, dimension (NMAX*max(2,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 155 of file zdrvsy_rk.f.

158*
159* -- LAPACK test routine --
160* -- LAPACK is a software package provided by Univ. of Tennessee, --
161* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
162*
163* .. Scalar Arguments ..
164 LOGICAL TSTERR
165 INTEGER NMAX, NN, NOUT, NRHS
166 DOUBLE PRECISION THRESH
167* ..
168* .. Array Arguments ..
169 LOGICAL DOTYPE( * )
170 INTEGER IWORK( * ), NVAL( * )
171 DOUBLE PRECISION RWORK( * )
172 COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ), E( * ),
173 $ WORK( * ), X( * ), XACT( * )
174* ..
175*
176* =====================================================================
177*
178* .. Parameters ..
179 DOUBLE PRECISION ONE, ZERO
180 parameter( one = 1.0d+0, zero = 0.0d+0 )
181 INTEGER NTYPES, NTESTS
182 parameter( ntypes = 11, ntests = 3 )
183 INTEGER NFACT
184 parameter( nfact = 2 )
185* ..
186* .. Local Scalars ..
187 LOGICAL ZEROT
188 CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
189 CHARACTER*3 MATPATH, PATH
190 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
191 $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N,
192 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
193 DOUBLE PRECISION AINVNM, ANORM, CNDNUM, RCONDC
194* ..
195* .. Local Arrays ..
196 CHARACTER FACTS( NFACT ), UPLOS( 2 )
197 INTEGER ISEED( 4 ), ISEEDY( 4 )
198 DOUBLE PRECISION RESULT( NTESTS )
199
200* ..
201* .. External Functions ..
202 DOUBLE PRECISION ZLANSY
203 EXTERNAL zlansy
204* ..
205* .. External Subroutines ..
206 EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx, zget04,
207 $ zlacpy, zlarhs, zlatb4, zlatms, zlatsy,
208 $ zsysv_rk, zsyt01_3, zsyt02, zsytrf_rk, zsytri_3
209* ..
210* .. Scalars in Common ..
211 LOGICAL LERR, OK
212 CHARACTER*32 SRNAMT
213 INTEGER INFOT, NUNIT
214* ..
215* .. Common blocks ..
216 COMMON / infoc / infot, nunit, ok, lerr
217 COMMON / srnamc / srnamt
218* ..
219* .. Intrinsic Functions ..
220 INTRINSIC max, min
221* ..
222* .. Data statements ..
223 DATA iseedy / 1988, 1989, 1990, 1991 /
224 DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
225* ..
226* .. Executable Statements ..
227*
228* Initialize constants and the random number seed.
229*
230* Test path
231*
232 path( 1: 1 ) = 'Zomplex precision'
233 path( 2: 3 ) = 'SK'
234*
235* Path to generate matrices
236*
237 matpath( 1: 1 ) = 'Zomplex precision'
238 matpath( 2: 3 ) = 'SY'
239*
240 nrun = 0
241 nfail = 0
242 nerrs = 0
243 DO 10 i = 1, 4
244 iseed( i ) = iseedy( i )
245 10 CONTINUE
246 lwork = max( 2*nmax, nmax*nrhs )
247*
248* Test the error exits
249*
250 IF( tsterr )
251 $ CALL zerrvx( path, nout )
252 infot = 0
253*
254* Set the block size and minimum block size for which the block
255* routine should be used, which will be later returned by ILAENV.
256*
257 nb = 1
258 nbmin = 2
259 CALL xlaenv( 1, nb )
260 CALL xlaenv( 2, nbmin )
261*
262* Do for each value of N in NVAL
263*
264 DO 180 in = 1, nn
265 n = nval( in )
266 lda = max( n, 1 )
267 xtype = 'N'
268 nimat = ntypes
269 IF( n.LE.0 )
270 $ nimat = 1
271*
272 DO 170 imat = 1, nimat
273*
274* Do the tests only if DOTYPE( IMAT ) is true.
275*
276 IF( .NOT.dotype( imat ) )
277 $ GO TO 170
278*
279* Skip types 3, 4, 5, or 6 if the matrix size is too small.
280*
281 zerot = imat.GE.3 .AND. imat.LE.6
282 IF( zerot .AND. n.LT.imat-2 )
283 $ GO TO 170
284*
285* Do first for UPLO = 'U', then for UPLO = 'L'
286*
287 DO 160 iuplo = 1, 2
288 uplo = uplos( iuplo )
289*
290 IF( imat.NE.ntypes ) THEN
291*
292* Begin generate the test matrix A.
293*
294* Set up parameters with ZLATB4 for the matrix generator
295* based on the type of matrix to be generated.
296*
297 CALL zlatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
298 $ MODE, CNDNUM, DIST )
299*
300* Generate a matrix with ZLATMS.
301*
302 srnamt = 'ZLATMS'
303 CALL zlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
304 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
305 $ WORK, INFO )
306*
307* Check error code from DLATMS and handle error.
308*
309 IF( info.NE.0 ) THEN
310 CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
311 $ -1, -1, -1, imat, nfail, nerrs, nout )
312 GO TO 160
313 END IF
314*
315* For types 3-6, zero one or more rows and columns of
316* the matrix to test that INFO is returned correctly.
317*
318 IF( zerot ) THEN
319 IF( imat.EQ.3 ) THEN
320 izero = 1
321 ELSE IF( imat.EQ.4 ) THEN
322 izero = n
323 ELSE
324 izero = n / 2 + 1
325 END IF
326*
327 IF( imat.LT.6 ) THEN
328*
329* Set row and column IZERO to zero.
330*
331 IF( iuplo.EQ.1 ) THEN
332 ioff = ( izero-1 )*lda
333 DO 20 i = 1, izero - 1
334 a( ioff+i ) = zero
335 20 CONTINUE
336 ioff = ioff + izero
337 DO 30 i = izero, n
338 a( ioff ) = zero
339 ioff = ioff + lda
340 30 CONTINUE
341 ELSE
342 ioff = izero
343 DO 40 i = 1, izero - 1
344 a( ioff ) = zero
345 ioff = ioff + lda
346 40 CONTINUE
347 ioff = ioff - izero
348 DO 50 i = izero, n
349 a( ioff+i ) = zero
350 50 CONTINUE
351 END IF
352 ELSE
353 IF( iuplo.EQ.1 ) THEN
354*
355* Set the first IZERO rows and columns to zero.
356*
357 ioff = 0
358 DO 70 j = 1, n
359 i2 = min( j, izero )
360 DO 60 i = 1, i2
361 a( ioff+i ) = zero
362 60 CONTINUE
363 ioff = ioff + lda
364 70 CONTINUE
365 ELSE
366*
367* Set the first IZERO rows and columns to zero.
368*
369 ioff = 0
370 DO 90 j = 1, n
371 i1 = max( j, izero )
372 DO 80 i = i1, n
373 a( ioff+i ) = zero
374 80 CONTINUE
375 ioff = ioff + lda
376 90 CONTINUE
377 END IF
378 END IF
379 ELSE
380 izero = 0
381 END IF
382 ELSE
383*
384* IMAT = NTYPES: Use a special block diagonal matrix to
385* test alternate code for the 2-by-2 blocks.
386*
387 CALL zlatsy( uplo, n, a, lda, iseed )
388 END IF
389*
390 DO 150 ifact = 1, nfact
391*
392* Do first for FACT = 'F', then for other values.
393*
394 fact = facts( ifact )
395*
396* Compute the condition number for comparison with
397* the value returned by ZSYSVX_ROOK.
398*
399 IF( zerot ) THEN
400 IF( ifact.EQ.1 )
401 $ GO TO 150
402 rcondc = zero
403*
404 ELSE IF( ifact.EQ.1 ) THEN
405*
406* Compute the 1-norm of A.
407*
408 anorm = zlansy( '1', uplo, n, a, lda, rwork )
409*
410* Factor the matrix A.
411*
412
413 CALL zlacpy( uplo, n, n, a, lda, afac, lda )
414 CALL zsytrf_rk( uplo, n, afac, lda, e, iwork, ainv,
415 $ lwork, info )
416*
417* Compute inv(A) and take its norm.
418*
419 CALL zlacpy( uplo, n, n, afac, lda, ainv, lda )
420 lwork = (n+nb+1)*(nb+3)
421*
422* We need to compute the inverse to compute
423* RCONDC that is used later in TEST3.
424*
425 CALL zsytri_3( uplo, n, ainv, lda, e, iwork,
426 $ work, lwork, info )
427 ainvnm = zlansy( '1', uplo, n, ainv, lda, rwork )
428*
429* Compute the 1-norm condition number of A.
430*
431 IF( anorm.LE.zero .OR. ainvnm.LE.zero ) THEN
432 rcondc = one
433 ELSE
434 rcondc = ( one / anorm ) / ainvnm
435 END IF
436 END IF
437*
438* Form an exact solution and set the right hand side.
439*
440 srnamt = 'ZLARHS'
441 CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
442 $ nrhs, a, lda, xact, lda, b, lda, iseed,
443 $ info )
444 xtype = 'C'
445*
446* --- Test ZSYSV_RK ---
447*
448 IF( ifact.EQ.2 ) THEN
449 CALL zlacpy( uplo, n, n, a, lda, afac, lda )
450 CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
451*
452* Factor the matrix and solve the system using
453* ZSYSV_RK.
454*
455 srnamt = 'ZSYSV_RK'
456 CALL zsysv_rk( uplo, n, nrhs, afac, lda, e, iwork,
457 $ x, lda, work, lwork, info )
458*
459* Adjust the expected value of INFO to account for
460* pivoting.
461*
462 k = izero
463 IF( k.GT.0 ) THEN
464 100 CONTINUE
465 IF( iwork( k ).LT.0 ) THEN
466 IF( iwork( k ).NE.-k ) THEN
467 k = -iwork( k )
468 GO TO 100
469 END IF
470 ELSE IF( iwork( k ).NE.k ) THEN
471 k = iwork( k )
472 GO TO 100
473 END IF
474 END IF
475*
476* Check error code from ZSYSV_RK and handle error.
477*
478 IF( info.NE.k ) THEN
479 CALL alaerh( path, 'ZSYSV_RK', info, k, uplo,
480 $ n, n, -1, -1, nrhs, imat, nfail,
481 $ nerrs, nout )
482 GO TO 120
483 ELSE IF( info.NE.0 ) THEN
484 GO TO 120
485 END IF
486*
487*+ TEST 1 Reconstruct matrix from factors and compute
488* residual.
489*
490 CALL zsyt01_3( uplo, n, a, lda, afac, lda, e,
491 $ iwork, ainv, lda, rwork,
492 $ result( 1 ) )
493*
494*+ TEST 2 Compute residual of the computed solution.
495*
496 CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
497 CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
498 $ lda, rwork, result( 2 ) )
499*
500*+ TEST 3
501* Check solution from generated exact solution.
502*
503 CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
504 $ result( 3 ) )
505 nt = 3
506*
507* Print information about the tests that did not pass
508* the threshold.
509*
510 DO 110 k = 1, nt
511 IF( result( k ).GE.thresh ) THEN
512 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
513 $ CALL aladhd( nout, path )
514 WRITE( nout, fmt = 9999 )'ZSYSV_RK', uplo,
515 $ n, imat, k, result( k )
516 nfail = nfail + 1
517 END IF
518 110 CONTINUE
519 nrun = nrun + nt
520 120 CONTINUE
521 END IF
522*
523 150 CONTINUE
524*
525 160 CONTINUE
526 170 CONTINUE
527 180 CONTINUE
528*
529* Print a summary of the results.
530*
531 CALL alasvm( path, nout, nfail, nrun, nerrs )
532*
533 9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
534 $ ', test ', i2, ', ratio =', g12.5 )
535 RETURN
536*
537* End of ZDRVSY_RK
538*
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
zlarhs
subroutine zlarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
ZLARHS
Definition zlarhs.f:208
aladhd
subroutine aladhd(iounit, path)
ALADHD
Definition aladhd.f:90
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
zsysv_rk
subroutine zsysv_rk(uplo, n, nrhs, a, lda, e, ipiv, b, ldb, work, lwork, info)
ZSYSV_RK computes the solution to system of linear equations A * X = B for SY matrices
Definition zsysv_rk.f:228
zsytrf_rk
subroutine zsytrf_rk(uplo, n, a, lda, e, ipiv, work, lwork, info)
ZSYTRF_RK computes the factorization of a complex symmetric indefinite matrix using the bounded Bunch...
Definition zsytrf_rk.f:259
zsytri_3
subroutine zsytri_3(uplo, n, a, lda, e, ipiv, work, lwork, info)
ZSYTRI_3
Definition zsytri_3.f:170
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:103
zlansy
double precision function zlansy(norm, uplo, n, a, lda, work)
ZLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition zlansy.f:123
zerrvx
subroutine zerrvx(path, nunit)
ZERRVX
Definition zerrvx.f:55
zget04
subroutine zget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
ZGET04
Definition zget04.f:102
zlatb4
subroutine zlatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
ZLATB4
Definition zlatb4.f:121
zlatms
subroutine zlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
ZLATMS
Definition zlatms.f:332
zlatsy
subroutine zlatsy(uplo, n, x, ldx, iseed)
ZLATSY
Definition zlatsy.f:89
zsyt01_3
subroutine zsyt01_3(uplo, n, a, lda, afac, ldafac, e, ipiv, c, ldc, rwork, resid)
ZSYT01_3
Definition zsyt01_3.f:141
zsyt02
subroutine zsyt02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZSYT02
Definition zsyt02.f:127
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