 LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
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## ◆ zckglm()

 subroutine zckglm ( integer NN, integer, dimension( * ) NVAL, integer, dimension( * ) MVAL, integer, dimension( * ) PVAL, 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 )

ZCKGLM

Purpose:
``` ZCKGLM tests ZGGGLM - subroutine for solving generalized linear
model problem.```
Parameters
 [in] NN ``` NN is INTEGER The number of values of N, M and P contained in the vectors NVAL, MVAL and PVAL.``` [in] NVAL ``` NVAL is INTEGER array, dimension (NN) The values of the matrix row dimension N.``` [in] MVAL ``` MVAL is INTEGER array, dimension (NN) The values of the matrix column dimension M.``` [in] PVAL ``` PVAL is INTEGER array, dimension (NN) The values of the matrix column dimension P.``` [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 RESID >= 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 (4*NMAX)` [out] RWORK ` RWORK is DOUBLE PRECISION array, dimension (NMAX)` [out] WORK ` WORK is COMPLEX*16 array, dimension (NMAX*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.```

Definition at line 165 of file zckglm.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 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, P
196 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB, RESID
197* ..
198* .. Local Arrays ..
199 LOGICAL DOTYPE( NTYPES )
200* ..
201* .. External Functions ..
202 COMPLEX*16 ZLARND
203 EXTERNAL zlarnd
204* ..
205* .. External Subroutines ..
206 EXTERNAL alahdg, alareq, alasum, dlatb9, zglmts, zlatms
207* ..
208* .. Intrinsic Functions ..
209 INTRINSIC abs
210* ..
211* .. Executable Statements ..
212*
213* Initialize constants.
214*
215 path( 1: 3 ) = 'GLM'
216 info = 0
217 nrun = 0
218 nfail = 0
219 firstt = .true.
220 CALL alareq( path, nmats, dotype, ntypes, nin, nout )
221 lda = nmax
222 ldb = nmax
223 lwork = nmax*nmax
224*
225* Check for valid input values.
226*
227 DO 10 ik = 1, nn
228 m = mval( ik )
229 p = pval( ik )
230 n = nval( ik )
231 IF( m.GT.n .OR. n.GT.m+p ) THEN
232 IF( firstt ) THEN
233 WRITE( nout, fmt = * )
234 firstt = .false.
235 END IF
236 WRITE( nout, fmt = 9997 )m, p, n
237 END IF
238 10 CONTINUE
239 firstt = .true.
240*
241* Do for each value of M in MVAL.
242*
243 DO 40 ik = 1, nn
244 m = mval( ik )
245 p = pval( ik )
246 n = nval( ik )
247 IF( m.GT.n .OR. n.GT.m+p )
248 \$ GO TO 40
249*
250 DO 30 imat = 1, ntypes
251*
252* Do the tests only if DOTYPE( IMAT ) is true.
253*
254 IF( .NOT.dotype( imat ) )
255 \$ GO TO 30
256*
257* Set up parameters with DLATB9 and generate test
258* matrices A and B with ZLATMS.
259*
260 CALL dlatb9( path, imat, m, p, n, TYPE, KLA, KUA, KLB, KUB,
261 \$ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
262 \$ DISTA, DISTB )
263*
264 CALL zlatms( n, m, dista, iseed, TYPE, RWORK, MODEA, CNDNMA,
265 \$ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
266 \$ IINFO )
267 IF( iinfo.NE.0 ) THEN
268 WRITE( nout, fmt = 9999 )iinfo
269 info = abs( iinfo )
270 GO TO 30
271 END IF
272*
273 CALL zlatms( n, p, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
274 \$ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
275 \$ IINFO )
276 IF( iinfo.NE.0 ) THEN
277 WRITE( nout, fmt = 9999 )iinfo
278 info = abs( iinfo )
279 GO TO 30
280 END IF
281*
282* Generate random left hand side vector of GLM
283*
284 DO 20 i = 1, n
285 x( i ) = zlarnd( 2, iseed )
286 20 CONTINUE
287*
288 CALL zglmts( n, m, p, a, af, lda, b, bf, ldb, x,
289 \$ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
290 \$ work, lwork, rwork, resid )
291*
292* Print information about the tests that did not
293* pass the threshold.
294*
295 IF( resid.GE.thresh ) THEN
296 IF( nfail.EQ.0 .AND. firstt ) THEN
297 firstt = .false.
298 CALL alahdg( nout, path )
299 END IF
300 WRITE( nout, fmt = 9998 )n, m, p, imat, 1, resid
301 nfail = nfail + 1
302 END IF
303 nrun = nrun + 1
304*
305 30 CONTINUE
306 40 CONTINUE
307*
308* Print a summary of the results.
309*
310 CALL alasum( path, nout, nfail, nrun, 0 )
311*
312 9999 FORMAT( ' ZLATMS in ZCKGLM INFO = ', i5 )
313 9998 FORMAT( ' N=', i4, ' M=', i4, ', P=', i4, ', type ', i2,
314 \$ ', test ', i2, ', ratio=', g13.6 )
315 9997 FORMAT( ' *** Invalid input for GLM: M = ', i6, ', P = ', i6,
316 \$ ', N = ', i6, ';', / ' must satisfy M <= N <= M+P ',
317 \$ '(this set of values will be skipped)' )
318 RETURN
319*
320* End of ZCKGLM
321*
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 zglmts(N, M, P, A, AF, LDA, B, BF, LDB, D, DF, X, U, WORK, LWORK, RWORK, RESULT)
ZGLMTS
Definition: zglmts.f:146
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:332
complex *16 function zlarnd(IDIST, ISEED)
ZLARND
Definition: zlarnd.f:75
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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