 LAPACK  3.10.0 LAPACK: Linear Algebra PACKage

## ◆ scklse()

 subroutine scklse ( integer NN, integer, dimension( * ) MVAL, integer, dimension( * ) PVAL, integer, dimension( * ) NVAL, integer NMATS, integer, dimension( 4 ) ISEED, real THRESH, integer NMAX, real, dimension( * ) A, real, dimension( * ) AF, real, dimension( * ) B, real, dimension( * ) BF, real, dimension( * ) X, real, dimension( * ) WORK, real, dimension( * ) RWORK, integer NIN, integer NOUT, integer INFO )

SCKLSE

Purpose:
``` SCKLSE tests SGGLSE - 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 REAL 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 REAL array, dimension (NMAX*NMAX)` [out] AF ` AF is REAL array, dimension (NMAX*NMAX)` [out] B ` B is REAL array, dimension (NMAX*NMAX)` [out] BF ` BF is REAL array, dimension (NMAX*NMAX)` [out] X ` X is REAL array, dimension (5*NMAX)` [out] WORK ` WORK is REAL array, dimension (NMAX*NMAX)` [out] RWORK ` RWORK is REAL 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 SLATMS returns an error code, the absolute value of it is returned.```

Definition at line 164 of file scklse.f.

167 *
168 * -- LAPACK test routine --
169 * -- LAPACK is a software package provided by Univ. of Tennessee, --
170 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
171 *
172 * .. Scalar Arguments ..
173  INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
174  REAL THRESH
175 * ..
176 * .. Array Arguments ..
177  INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
178  REAL A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
179  \$ WORK( * ), X( * )
180 * ..
181 *
182 * =====================================================================
183 *
184 * .. Parameters ..
185  INTEGER NTESTS
186  parameter( ntests = 7 )
187  INTEGER NTYPES
188  parameter( ntypes = 8 )
189 * ..
190 * .. Local Scalars ..
191  LOGICAL FIRSTT
192  CHARACTER DISTA, DISTB, TYPE
193  CHARACTER*3 PATH
194  INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
195  \$ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN,
196  \$ NT, P
197  REAL ANORM, BNORM, CNDNMA, CNDNMB
198 * ..
199 * .. Local Arrays ..
200  LOGICAL DOTYPE( NTYPES )
201  REAL RESULT( NTESTS )
202 * ..
203 * .. External Subroutines ..
204  EXTERNAL alahdg, alareq, alasum, slarhs, slatb9, slatms,
205  \$ slsets
206 * ..
207 * .. Intrinsic Functions ..
208  INTRINSIC abs, max
209 * ..
210 * .. Executable Statements ..
211 *
212 * Initialize constants and the random number seed.
213 *
214  path( 1: 3 ) = 'LSE'
215  info = 0
216  nrun = 0
217  nfail = 0
218  firstt = .true.
219  CALL alareq( path, nmats, dotype, ntypes, nin, nout )
220  lda = nmax
221  ldb = nmax
222  lwork = nmax*nmax
223 *
224 * Check for valid input values.
225 *
226  DO 10 ik = 1, nn
227  m = mval( ik )
228  p = pval( ik )
229  n = nval( ik )
230  IF( p.GT.n .OR. n.GT.m+p ) THEN
231  IF( firstt ) THEN
232  WRITE( nout, fmt = * )
233  firstt = .false.
234  END IF
235  WRITE( nout, fmt = 9997 )m, p, n
236  END IF
237  10 CONTINUE
238  firstt = .true.
239 *
240 * Do for each value of M in MVAL.
241 *
242  DO 40 ik = 1, nn
243  m = mval( ik )
244  p = pval( ik )
245  n = nval( ik )
246  IF( p.GT.n .OR. n.GT.m+p )
247  \$ GO TO 40
248 *
249  DO 30 imat = 1, ntypes
250 *
251 * Do the tests only if DOTYPE( IMAT ) is true.
252 *
253  IF( .NOT.dotype( imat ) )
254  \$ GO TO 30
255 *
256 * Set up parameters with SLATB9 and generate test
257 * matrices A and B with SLATMS.
258 *
259  CALL slatb9( path, imat, m, p, n, TYPE, KLA, KUA, KLB, KUB,
260  \$ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
261  \$ DISTA, DISTB )
262 *
263  CALL slatms( m, n, dista, iseed, TYPE, RWORK, MODEA, CNDNMA,
264  \$ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
265  \$ IINFO )
266  IF( iinfo.NE.0 ) THEN
267  WRITE( nout, fmt = 9999 )iinfo
268  info = abs( iinfo )
269  GO TO 30
270  END IF
271 *
272  CALL slatms( p, n, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
273  \$ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
274  \$ IINFO )
275  IF( iinfo.NE.0 ) THEN
276  WRITE( nout, fmt = 9999 )iinfo
277  info = abs( iinfo )
278  GO TO 30
279  END IF
280 *
281 * Generate the right-hand sides C and D for the LSE.
282 *
283  CALL slarhs( 'SGE', 'New solution', 'Upper', 'N', m, n,
284  \$ max( m-1, 0 ), max( n-1, 0 ), 1, a, lda,
285  \$ x( 4*nmax+1 ), max( n, 1 ), x, max( m, 1 ),
286  \$ iseed, iinfo )
287 *
288  CALL slarhs( 'SGE', 'Computed', 'Upper', 'N', p, n,
289  \$ max( p-1, 0 ), max( n-1, 0 ), 1, b, ldb,
290  \$ x( 4*nmax+1 ), max( n, 1 ), x( 2*nmax+1 ),
291  \$ max( p, 1 ), iseed, iinfo )
292 *
293  nt = 2
294 *
295  CALL slsets( m, p, n, a, af, lda, b, bf, ldb, x,
296  \$ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
297  \$ x( 4*nmax+1 ), work, lwork, rwork,
298  \$ result( 1 ) )
299 *
300 * Print information about the tests that did not
301 * pass the threshold.
302 *
303  DO 20 i = 1, nt
304  IF( result( i ).GE.thresh ) THEN
305  IF( nfail.EQ.0 .AND. firstt ) THEN
306  firstt = .false.
307  CALL alahdg( nout, path )
308  END IF
309  WRITE( nout, fmt = 9998 )m, p, n, imat, i,
310  \$ result( i )
311  nfail = nfail + 1
312  END IF
313  20 CONTINUE
314  nrun = nrun + nt
315 *
316  30 CONTINUE
317  40 CONTINUE
318 *
319 * Print a summary of the results.
320 *
321  CALL alasum( path, nout, nfail, nrun, 0 )
322 *
323  9999 FORMAT( ' SLATMS in SCKLSE INFO = ', i5 )
324  9998 FORMAT( ' M=', i4, ' P=', i4, ', N=', i4, ', type ', i2,
325  \$ ', test ', i2, ', ratio=', g13.6 )
326  9997 FORMAT( ' *** Invalid input for LSE: M = ', i6, ', P = ', i6,
327  \$ ', N = ', i6, ';', / ' must satisfy P <= N <= P+M ',
328  \$ '(this set of values will be skipped)' )
329  RETURN
330 *
331 * End of SCKLSE
332 *
subroutine alareq(PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
Definition: alareq.f:90
subroutine alahdg(IOUNIT, PATH)
ALAHDG
Definition: alahdg.f:62
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
subroutine slatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
SLATMS
Definition: slatms.f:321
subroutine slsets(M, P, N, A, AF, LDA, B, BF, LDB, C, CF, D, DF, X, WORK, LWORK, RWORK, RESULT)
SLSETS
Definition: slsets.f:155
subroutine slarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
SLARHS
Definition: slarhs.f:205
subroutine slatb9(PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, DISTA, DISTB)
SLATB9
Definition: slatb9.f:170
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