LAPACK  3.10.1
LAPACK: Linear Algebra PACKage

◆ zcklse()

subroutine zcklse ( integer  NN,
integer, dimension( * )  MVAL,
integer, dimension( * )  PVAL,
integer, dimension( * )  NVAL,
integer  NMATS,
integer, dimension( 4 )  ISEED,
double precision  THRESH,
integer  NMAX,
complex*16, dimension( * )  A,
complex*16, dimension( * )  AF,
complex*16, dimension( * )  B,
complex*16, dimension( * )  BF,
complex*16, dimension( * )  X,
complex*16, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer  NIN,
integer  NOUT,
integer  INFO 
)

ZCKLSE

Purpose:
 ZCKLSE tests ZGGLSE - a subroutine for solving linear equality
 constrained least square problem (LSE).
Parameters
[in]NN
          NN is INTEGER
          The number of values of (M,P,N) contained in the vectors
          (MVAL, PVAL, NVAL).
[in]MVAL
          MVAL is INTEGER array, dimension (NN)
          The values of the matrix row(column) dimension M.
[in]PVAL
          PVAL is INTEGER array, dimension (NN)
          The values of the matrix row(column) dimension P.
[in]NVAL
          NVAL is INTEGER array, dimension (NN)
          The values of the matrix column(row) dimension N.
[in]NMATS
          NMATS is INTEGER
          The number of matrix types to be tested for each combination
          of matrix dimensions.  If NMATS >= NTYPES (the maximum
          number of matrix types), then all the different types are
          generated for testing.  If NMATS < NTYPES, another input line
          is read to get the numbers of the matrix types to be used.
[in,out]ISEED
          ISEED is INTEGER array, dimension (4)
          On entry, the seed of the random number generator.  The array
          elements should be between 0 and 4095, otherwise they will be
          reduced mod 4096, and ISEED(4) must be odd.
          On exit, the next seed in the random number sequence after
          all the test matrices have been generated.
[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]NMAX
          NMAX is INTEGER
          The maximum value permitted for M or N, used in dimensioning
          the work arrays.
[out]A
          A is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]AF
          AF is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]B
          B is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]BF
          BF is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]X
          X is COMPLEX*16 array, dimension (5*NMAX)
[out]WORK
          WORK is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]RWORK
          RWORK is DOUBLE PRECISION array, dimension (NMAX)
[in]NIN
          NIN is INTEGER
          The unit number for input.
[in]NOUT
          NOUT is INTEGER
          The unit number for output.
[out]INFO
          INFO is INTEGER
          = 0 :  successful exit
          > 0 :  If ZLATMS returns an error code, the absolute value
                 of it is returned.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 165 of file zcklse.f.

168 *
169 * -- LAPACK test routine --
170 * -- LAPACK is a software package provided by Univ. of Tennessee, --
171 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
172 *
173 * .. Scalar Arguments ..
174  INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
175  DOUBLE PRECISION THRESH
176 * ..
177 * .. Array Arguments ..
178  INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
179  DOUBLE PRECISION RWORK( * )
180  COMPLEX*16 A( * ), AF( * ), B( * ), BF( * ), WORK( * ),
181  $ X( * )
182 * ..
183 *
184 * =====================================================================
185 *
186 * .. Parameters ..
187  INTEGER NTESTS
188  parameter( ntests = 7 )
189  INTEGER NTYPES
190  parameter( ntypes = 8 )
191 * ..
192 * .. Local Scalars ..
193  LOGICAL FIRSTT
194  CHARACTER DISTA, DISTB, TYPE
195  CHARACTER*3 PATH
196  INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
197  $ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN,
198  $ NT, P
199  DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
200 * ..
201 * .. Local Arrays ..
202  LOGICAL DOTYPE( NTYPES )
203  DOUBLE PRECISION RESULT( NTESTS )
204 * ..
205 * .. External Subroutines ..
206  EXTERNAL alahdg, alareq, alasum, dlatb9, zlarhs, zlatms,
207  $ zlsets
208 * ..
209 * .. Intrinsic Functions ..
210  INTRINSIC abs, max
211 * ..
212 * .. Executable Statements ..
213 *
214 * Initialize constants and the random number seed.
215 *
216  path( 1: 3 ) = 'LSE'
217  info = 0
218  nrun = 0
219  nfail = 0
220  firstt = .true.
221  CALL alareq( path, nmats, dotype, ntypes, nin, nout )
222  lda = nmax
223  ldb = nmax
224  lwork = nmax*nmax
225 *
226 * Check for valid input values.
227 *
228  DO 10 ik = 1, nn
229  m = mval( ik )
230  p = pval( ik )
231  n = nval( ik )
232  IF( p.GT.n .OR. n.GT.m+p ) THEN
233  IF( firstt ) THEN
234  WRITE( nout, fmt = * )
235  firstt = .false.
236  END IF
237  WRITE( nout, fmt = 9997 )m, p, n
238  END IF
239  10 CONTINUE
240  firstt = .true.
241 *
242 * Do for each value of M in MVAL.
243 *
244  DO 40 ik = 1, nn
245  m = mval( ik )
246  p = pval( ik )
247  n = nval( ik )
248  IF( p.GT.n .OR. n.GT.m+p )
249  $ GO TO 40
250 *
251  DO 30 imat = 1, ntypes
252 *
253 * Do the tests only if DOTYPE( IMAT ) is true.
254 *
255  IF( .NOT.dotype( imat ) )
256  $ GO TO 30
257 *
258 * Set up parameters with DLATB9 and generate test
259 * matrices A and B with ZLATMS.
260 *
261  CALL dlatb9( path, imat, m, p, n, TYPE, KLA, KUA, KLB, KUB,
262  $ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
263  $ DISTA, DISTB )
264 *
265  CALL zlatms( m, n, dista, iseed, TYPE, RWORK, MODEA, CNDNMA,
266  $ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
267  $ IINFO )
268  IF( iinfo.NE.0 ) THEN
269  WRITE( nout, fmt = 9999 )iinfo
270  info = abs( iinfo )
271  GO TO 30
272  END IF
273 *
274  CALL zlatms( p, n, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
275  $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
276  $ IINFO )
277  IF( iinfo.NE.0 ) THEN
278  WRITE( nout, fmt = 9999 )iinfo
279  info = abs( iinfo )
280  GO TO 30
281  END IF
282 *
283 * Generate the right-hand sides C and D for the LSE.
284 *
285  CALL zlarhs( 'ZGE', 'New solution', 'Upper', 'N', m, n,
286  $ max( m-1, 0 ), max( n-1, 0 ), 1, a, lda,
287  $ x( 4*nmax+1 ), max( n, 1 ), x, max( m, 1 ),
288  $ iseed, iinfo )
289 *
290  CALL zlarhs( 'ZGE', 'Computed', 'Upper', 'N', p, n,
291  $ max( p-1, 0 ), max( n-1, 0 ), 1, b, ldb,
292  $ x( 4*nmax+1 ), max( n, 1 ), x( 2*nmax+1 ),
293  $ max( p, 1 ), iseed, iinfo )
294 *
295  nt = 2
296 *
297  CALL zlsets( m, p, n, a, af, lda, b, bf, ldb, x,
298  $ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
299  $ x( 4*nmax+1 ), work, lwork, rwork,
300  $ result( 1 ) )
301 *
302 * Print information about the tests that did not
303 * pass the threshold.
304 *
305  DO 20 i = 1, nt
306  IF( result( i ).GE.thresh ) THEN
307  IF( nfail.EQ.0 .AND. firstt ) THEN
308  firstt = .false.
309  CALL alahdg( nout, path )
310  END IF
311  WRITE( nout, fmt = 9998 )m, p, n, imat, i,
312  $ result( i )
313  nfail = nfail + 1
314  END IF
315  20 CONTINUE
316  nrun = nrun + nt
317 *
318  30 CONTINUE
319  40 CONTINUE
320 *
321 * Print a summary of the results.
322 *
323  CALL alasum( path, nout, nfail, nrun, 0 )
324 *
325  9999 FORMAT( ' ZLATMS in ZCKLSE INFO = ', i5 )
326  9998 FORMAT( ' M=', i4, ' P=', i4, ', N=', i4, ', type ', i2,
327  $ ', test ', i2, ', ratio=', g13.6 )
328  9997 FORMAT( ' *** Invalid input for LSE: M = ', i6, ', P = ', i6,
329  $ ', N = ', i6, ';', / ' must satisfy P <= N <= P+M ',
330  $ '(this set of values will be skipped)' )
331  RETURN
332 *
333 * End of ZCKLSE
334 *
alareq
subroutine alareq(PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
Definition: alareq.f:90
alahdg
subroutine alahdg(IOUNIT, PATH)
ALAHDG
Definition: alahdg.f:62
alasum
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
zlsets
subroutine zlsets(M, P, N, A, AF, LDA, B, BF, LDB, C, CF, D, DF, X, WORK, LWORK, RWORK, RESULT)
ZLSETS
Definition: zlsets.f:151
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
zlatms
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:332
dlatb9
subroutine dlatb9(PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, DISTA, DISTB)
DLATB9
Definition: dlatb9.f:170
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