LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
Loading...
Searching...
No Matches

◆ zdrvhe_rook()

subroutine zdrvhe_rook ( 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( * )  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 
)

ZDRVHE_ROOK

Purpose:
 ZDRVHE_ROOK tests the driver routines ZHESV_ROOK.
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]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 150 of file zdrvhe_rook.f.

153*
154* -- LAPACK test routine --
155* -- LAPACK is a software package provided by Univ. of Tennessee, --
156* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
157*
158* .. Scalar Arguments ..
159 LOGICAL TSTERR
160 INTEGER NMAX, NN, NOUT, NRHS
161 DOUBLE PRECISION THRESH
162* ..
163* .. Array Arguments ..
164 LOGICAL DOTYPE( * )
165 INTEGER IWORK( * ), NVAL( * )
166 DOUBLE PRECISION RWORK( * )
167 COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
168 $ WORK( * ), X( * ), XACT( * )
169* ..
170*
171* =====================================================================
172*
173* .. Parameters ..
174 DOUBLE PRECISION ONE, ZERO
175 parameter( one = 1.0d+0, zero = 0.0d+0 )
176 INTEGER NTYPES, NTESTS
177 parameter( ntypes = 10, ntests = 3 )
178 INTEGER NFACT
179 parameter( nfact = 2 )
180* ..
181* .. Local Scalars ..
182 LOGICAL ZEROT
183 CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
184 CHARACTER*3 MATPATH, PATH
185 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
186 $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N,
187 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
188 DOUBLE PRECISION AINVNM, ANORM, CNDNUM, RCONDC
189* ..
190* .. Local Arrays ..
191 CHARACTER FACTS( NFACT ), UPLOS( 2 )
192 INTEGER ISEED( 4 ), ISEEDY( 4 )
193 DOUBLE PRECISION RESULT( NTESTS )
194
195* ..
196* .. External Functions ..
197 DOUBLE PRECISION ZLANHE
198 EXTERNAL zlanhe
199* ..
200* .. External Subroutines ..
201 EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx,
202 $ zget04, zlacpy, zlarhs, zlatb4, zlatms,
203 $ zhesv_rook, zhet01_rook, zpot02,
204 $ zhetrf_rook, zhetri_rook
205* ..
206* .. Scalars in Common ..
207 LOGICAL LERR, OK
208 CHARACTER*32 SRNAMT
209 INTEGER INFOT, NUNIT
210* ..
211* .. Common blocks ..
212 COMMON / infoc / infot, nunit, ok, lerr
213 COMMON / srnamc / srnamt
214* ..
215* .. Intrinsic Functions ..
216 INTRINSIC max, min
217* ..
218* .. Data statements ..
219 DATA iseedy / 1988, 1989, 1990, 1991 /
220 DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
221* ..
222* .. Executable Statements ..
223*
224* Initialize constants and the random number seed.
225*
226* Test path
227*
228 path( 1: 1 ) = 'Zomplex precision'
229 path( 2: 3 ) = 'HR'
230*
231* Path to generate matrices
232*
233 matpath( 1: 1 ) = 'Zomplex precision'
234 matpath( 2: 3 ) = 'HE'
235*
236 nrun = 0
237 nfail = 0
238 nerrs = 0
239 DO 10 i = 1, 4
240 iseed( i ) = iseedy( i )
241 10 CONTINUE
242 lwork = max( 2*nmax, nmax*nrhs )
243*
244* Test the error exits
245*
246 IF( tsterr )
247 $ CALL zerrvx( path, nout )
248 infot = 0
249*
250* Set the block size and minimum block size for which the block
251* routine should be used, which will be later returned by ILAENV.
252*
253 nb = 1
254 nbmin = 2
255 CALL xlaenv( 1, nb )
256 CALL xlaenv( 2, nbmin )
257*
258* Do for each value of N in NVAL
259*
260 DO 180 in = 1, nn
261 n = nval( in )
262 lda = max( n, 1 )
263 xtype = 'N'
264 nimat = ntypes
265 IF( n.LE.0 )
266 $ nimat = 1
267*
268 DO 170 imat = 1, nimat
269*
270* Do the tests only if DOTYPE( IMAT ) is true.
271*
272 IF( .NOT.dotype( imat ) )
273 $ GO TO 170
274*
275* Skip types 3, 4, 5, or 6 if the matrix size is too small.
276*
277 zerot = imat.GE.3 .AND. imat.LE.6
278 IF( zerot .AND. n.LT.imat-2 )
279 $ GO TO 170
280*
281* Do first for UPLO = 'U', then for UPLO = 'L'
282*
283 DO 160 iuplo = 1, 2
284 uplo = uplos( iuplo )
285*
286* Begin generate the test matrix A.
287*
288* Set up parameters with ZLATB4 for the matrix generator
289* based on the type of matrix to be generated.
290*
291 CALL zlatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
292 $ MODE, CNDNUM, DIST )
293*
294* Generate a matrix with ZLATMS.
295*
296 srnamt = 'ZLATMS'
297 CALL zlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
298 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
299 $ WORK, INFO )
300*
301* Check error code from ZLATMS and handle error.
302*
303 IF( info.NE.0 ) THEN
304 CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
305 $ -1, -1, -1, imat, nfail, nerrs, nout )
306 GO TO 160
307 END IF
308*
309* For types 3-6, zero one or more rows and columns of
310* the matrix to test that INFO is returned correctly.
311*
312 IF( zerot ) THEN
313 IF( imat.EQ.3 ) THEN
314 izero = 1
315 ELSE IF( imat.EQ.4 ) THEN
316 izero = n
317 ELSE
318 izero = n / 2 + 1
319 END IF
320*
321 IF( imat.LT.6 ) THEN
322*
323* Set row and column IZERO to zero.
324*
325 IF( iuplo.EQ.1 ) THEN
326 ioff = ( izero-1 )*lda
327 DO 20 i = 1, izero - 1
328 a( ioff+i ) = zero
329 20 CONTINUE
330 ioff = ioff + izero
331 DO 30 i = izero, n
332 a( ioff ) = zero
333 ioff = ioff + lda
334 30 CONTINUE
335 ELSE
336 ioff = izero
337 DO 40 i = 1, izero - 1
338 a( ioff ) = zero
339 ioff = ioff + lda
340 40 CONTINUE
341 ioff = ioff - izero
342 DO 50 i = izero, n
343 a( ioff+i ) = zero
344 50 CONTINUE
345 END IF
346 ELSE
347 IF( iuplo.EQ.1 ) THEN
348*
349* Set the first IZERO rows and columns to zero.
350*
351 ioff = 0
352 DO 70 j = 1, n
353 i2 = min( j, izero )
354 DO 60 i = 1, i2
355 a( ioff+i ) = zero
356 60 CONTINUE
357 ioff = ioff + lda
358 70 CONTINUE
359 ELSE
360*
361* Set the first IZERO rows and columns to zero.
362*
363 ioff = 0
364 DO 90 j = 1, n
365 i1 = max( j, izero )
366 DO 80 i = i1, n
367 a( ioff+i ) = zero
368 80 CONTINUE
369 ioff = ioff + lda
370 90 CONTINUE
371 END IF
372 END IF
373 ELSE
374 izero = 0
375 END IF
376*
377* End generate the test matrix A.
378*
379*
380 DO 150 ifact = 1, nfact
381*
382* Do first for FACT = 'F', then for other values.
383*
384 fact = facts( ifact )
385*
386* Compute the condition number for comparison with
387* the value returned by ZHESVX_ROOK.
388*
389 IF( zerot ) THEN
390 IF( ifact.EQ.1 )
391 $ GO TO 150
392 rcondc = zero
393*
394 ELSE IF( ifact.EQ.1 ) THEN
395*
396* Compute the 1-norm of A.
397*
398 anorm = zlanhe( '1', uplo, n, a, lda, rwork )
399*
400* Factor the matrix A.
401*
402
403 CALL zlacpy( uplo, n, n, a, lda, afac, lda )
404 CALL zhetrf_rook( uplo, n, afac, lda, iwork, work,
405 $ lwork, info )
406*
407* Compute inv(A) and take its norm.
408*
409 CALL zlacpy( uplo, n, n, afac, lda, ainv, lda )
410 lwork = (n+nb+1)*(nb+3)
411 CALL zhetri_rook( uplo, n, ainv, lda, iwork,
412 $ work, info )
413 ainvnm = zlanhe( '1', uplo, n, ainv, lda, rwork )
414*
415* Compute the 1-norm condition number of A.
416*
417 IF( anorm.LE.zero .OR. ainvnm.LE.zero ) THEN
418 rcondc = one
419 ELSE
420 rcondc = ( one / anorm ) / ainvnm
421 END IF
422 END IF
423*
424* Form an exact solution and set the right hand side.
425*
426 srnamt = 'ZLARHS'
427 CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
428 $ nrhs, a, lda, xact, lda, b, lda, iseed,
429 $ info )
430 xtype = 'C'
431*
432* --- Test ZHESV_ROOK ---
433*
434 IF( ifact.EQ.2 ) THEN
435 CALL zlacpy( uplo, n, n, a, lda, afac, lda )
436 CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
437*
438* Factor the matrix and solve the system using
439* ZHESV_ROOK.
440*
441 srnamt = 'ZHESV_ROOK'
442 CALL zhesv_rook( uplo, n, nrhs, afac, lda, iwork,
443 $ x, lda, work, lwork, info )
444*
445* Adjust the expected value of INFO to account for
446* pivoting.
447*
448 k = izero
449 IF( k.GT.0 ) THEN
450 100 CONTINUE
451 IF( iwork( k ).LT.0 ) THEN
452 IF( iwork( k ).NE.-k ) THEN
453 k = -iwork( k )
454 GO TO 100
455 END IF
456 ELSE IF( iwork( k ).NE.k ) THEN
457 k = iwork( k )
458 GO TO 100
459 END IF
460 END IF
461*
462* Check error code from ZHESV_ROOK and handle error.
463*
464 IF( info.NE.k ) THEN
465 CALL alaerh( path, 'ZHESV_ROOK', info, k, uplo,
466 $ n, n, -1, -1, nrhs, imat, nfail,
467 $ nerrs, nout )
468 GO TO 120
469 ELSE IF( info.NE.0 ) THEN
470 GO TO 120
471 END IF
472*
473*+ TEST 1 Reconstruct matrix from factors and compute
474* residual.
475*
476 CALL zhet01_rook( uplo, n, a, lda, afac, lda,
477 $ iwork, ainv, lda, rwork,
478 $ result( 1 ) )
479*
480*+ TEST 2 Compute residual of the computed solution.
481*
482 CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
483 CALL zpot02( uplo, n, nrhs, a, lda, x, lda, work,
484 $ lda, rwork, result( 2 ) )
485*
486*+ TEST 3
487* Check solution from generated exact solution.
488*
489 CALL zget04( n, nrhs, x, lda, xact, lda, rcondc,
490 $ result( 3 ) )
491 nt = 3
492*
493* Print information about the tests that did not pass
494* the threshold.
495*
496 DO 110 k = 1, nt
497 IF( result( k ).GE.thresh ) THEN
498 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
499 $ CALL aladhd( nout, path )
500 WRITE( nout, fmt = 9999 )'ZHESV_ROOK', uplo,
501 $ n, imat, k, result( k )
502 nfail = nfail + 1
503 END IF
504 110 CONTINUE
505 nrun = nrun + nt
506 120 CONTINUE
507 END IF
508*
509 150 CONTINUE
510*
511 160 CONTINUE
512 170 CONTINUE
513 180 CONTINUE
514*
515* Print a summary of the results.
516*
517 CALL alasvm( path, nout, nfail, nrun, nerrs )
518*
519 9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
520 $ ', test ', i2, ', ratio =', g12.5 )
521 RETURN
522*
523* End of ZDRVHE_ROOK
524*
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
zhesv_rook
subroutine zhesv_rook(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
ZHESV_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using the ...
Definition zhesv_rook.f:205
zhetrf_rook
subroutine zhetrf_rook(uplo, n, a, lda, ipiv, work, lwork, info)
ZHETRF_ROOK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bun...
Definition zhetrf_rook.f:212
zhetri_rook
subroutine zhetri_rook(uplo, n, a, lda, ipiv, work, info)
ZHETRI_ROOK computes the inverse of HE matrix using the factorization obtained with the bounded Bunch...
Definition zhetri_rook.f:128
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
zlanhe
double precision function zlanhe(norm, uplo, n, a, lda, work)
ZLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition zlanhe.f:124
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
zhet01_rook
subroutine zhet01_rook(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
ZHET01_ROOK
Definition zhet01_rook.f:125
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
zpot02
subroutine zpot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZPOT02
Definition zpot02.f:127
Here is the call graph for this function:
Here is the caller graph for this function: