LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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◆ zchktz()

subroutine zchktz ( logical, dimension( * ) dotype,
integer nm,
integer, dimension( * ) mval,
integer nn,
integer, dimension( * ) nval,
double precision thresh,
logical tsterr,
complex*16, dimension( * ) a,
complex*16, dimension( * ) copya,
double precision, dimension( * ) s,
complex*16, dimension( * ) tau,
complex*16, dimension( * ) work,
double precision, dimension( * ) rwork,
integer nout )

ZCHKTZ

Purpose:
!>
!> ZCHKTZ tests ZTZRZF.
!>
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]NM
!>          NM is INTEGER
!>          The number of values of M contained in the vector MVAL.
!>
[in]MVAL
!>          MVAL is INTEGER array, dimension (NM)
!>          The values of the matrix row dimension M.
!>
[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 column dimension N.
!>
[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.
!>
[out]A
!>          A is COMPLEX*16 array, dimension (MMAX*NMAX)
!>          where MMAX is the maximum value of M in MVAL and NMAX is the
!>          maximum value of N in NVAL.
!>
[out]COPYA
!>          COPYA is COMPLEX*16 array, dimension (MMAX*NMAX)
!>
[out]S
!>          S is DOUBLE PRECISION array, dimension
!>                      (min(MMAX,NMAX))
!>
[out]TAU
!>          TAU is COMPLEX*16 array, dimension (MMAX)
!>
[out]WORK
!>          WORK is COMPLEX*16 array, dimension
!>                      (MMAX*NMAX + 4*NMAX + MMAX)
!>
[out]RWORK
!>          RWORK is DOUBLE PRECISION array, dimension (2*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 135 of file zchktz.f.

137*
138* -- LAPACK test routine --
139* -- LAPACK is a software package provided by Univ. of Tennessee, --
140* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
141*
142* .. Scalar Arguments ..
143 LOGICAL TSTERR
144 INTEGER NM, NN, NOUT
145 DOUBLE PRECISION THRESH
146* ..
147* .. Array Arguments ..
148 LOGICAL DOTYPE( * )
149 INTEGER MVAL( * ), NVAL( * )
150 DOUBLE PRECISION S( * ), RWORK( * )
151 COMPLEX*16 A( * ), COPYA( * ), TAU( * ), WORK( * )
152* ..
153*
154* =====================================================================
155*
156* .. Parameters ..
157 INTEGER NTYPES
158 parameter( ntypes = 3 )
159 INTEGER NTESTS
160 parameter( ntests = 3 )
161 DOUBLE PRECISION ONE, ZERO
162 parameter( one = 1.0d0, zero = 0.0d0 )
163* ..
164* .. Local Scalars ..
165 CHARACTER*3 PATH
166 INTEGER I, IM, IMODE, IN, INFO, K, LDA, LWORK, M,
167 $ MNMIN, MODE, N, NERRS, NFAIL, NRUN
168 DOUBLE PRECISION EPS
169* ..
170* .. Local Arrays ..
171 INTEGER ISEED( 4 ), ISEEDY( 4 )
172 DOUBLE PRECISION RESULT( NTESTS )
173* ..
174* .. External Functions ..
175 DOUBLE PRECISION DLAMCH, ZQRT12, ZRZT01, ZRZT02
176 EXTERNAL dlamch, zqrt12, zrzt01, zrzt02
177* ..
178* .. External Subroutines ..
179 EXTERNAL alahd, alasum, dlaord, zerrtz, zgeqr2, zlacpy,
180 $ zlaset, zlatms, ztzrzf
181* ..
182* .. Intrinsic Functions ..
183 INTRINSIC dcmplx, max, min
184* ..
185* .. Scalars in Common ..
186 LOGICAL LERR, OK
187 CHARACTER*32 SRNAMT
188 INTEGER INFOT, IOUNIT
189* ..
190* .. Common blocks ..
191 COMMON / infoc / infot, iounit, ok, lerr
192 COMMON / srnamc / srnamt
193* ..
194* .. Data statements ..
195 DATA iseedy / 1988, 1989, 1990, 1991 /
196* ..
197* .. Executable Statements ..
198*
199* Initialize constants and the random number seed.
200*
201 path( 1: 1 ) = 'Zomplex precision'
202 path( 2: 3 ) = 'TZ'
203 nrun = 0
204 nfail = 0
205 nerrs = 0
206 DO 10 i = 1, 4
207 iseed( i ) = iseedy( i )
208 10 CONTINUE
209 eps = dlamch( 'Epsilon' )
210*
211* Test the error exits
212*
213 IF( tsterr )
214 $ CALL zerrtz( path, nout )
215 infot = 0
216*
217 DO 70 im = 1, nm
218*
219* Do for each value of M in MVAL.
220*
221 m = mval( im )
222 lda = max( 1, m )
223*
224 DO 60 in = 1, nn
225*
226* Do for each value of N in NVAL for which M .LE. N.
227*
228 n = nval( in )
229 mnmin = min( m, n )
230 lwork = max( 1, n*n+4*m+n )
231*
232 IF( m.LE.n ) THEN
233 DO 50 imode = 1, ntypes
234 IF( .NOT.dotype( imode ) )
235 $ GO TO 50
236*
237* Do for each type of singular value distribution.
238* 0: zero matrix
239* 1: one small singular value
240* 2: exponential distribution
241*
242 mode = imode - 1
243*
244* Test ZTZRQF
245*
246* Generate test matrix of size m by n using
247* singular value distribution indicated by `mode'.
248*
249 IF( mode.EQ.0 ) THEN
250 CALL zlaset( 'Full', m, n, dcmplx( zero ),
251 $ dcmplx( zero ), a, lda )
252 DO 30 i = 1, mnmin
253 s( i ) = zero
254 30 CONTINUE
255 ELSE
256 CALL zlatms( m, n, 'Uniform', iseed,
257 $ 'Nonsymmetric', s, imode,
258 $ one / eps, one, m, n, 'No packing', a,
259 $ lda, work, info )
260 CALL zgeqr2( m, n, a, lda, work, work( mnmin+1 ),
261 $ info )
262 CALL zlaset( 'Lower', m-1, n, dcmplx( zero ),
263 $ dcmplx( zero ), a( 2 ), lda )
264 CALL dlaord( 'Decreasing', mnmin, s, 1 )
265 END IF
266*
267* Save A and its singular values
268*
269 CALL zlacpy( 'All', m, n, a, lda, copya, lda )
270*
271* Call ZTZRZF to reduce the upper trapezoidal matrix to
272* upper triangular form.
273*
274 srnamt = 'ZTZRZF'
275 CALL ztzrzf( m, n, a, lda, tau, work, lwork, info )
276*
277* Compute norm(svd(a) - svd(r))
278*
279 result( 1 ) = zqrt12( m, m, a, lda, s, work,
280 $ lwork, rwork )
281*
282* Compute norm( A - R*Q )
283*
284 result( 2 ) = zrzt01( m, n, copya, a, lda, tau, work,
285 $ lwork )
286*
287* Compute norm(Q'*Q - I).
288*
289 result( 3 ) = zrzt02( m, n, a, lda, tau, work, lwork )
290*
291* Print information about the tests that did not pass
292* the threshold.
293*
294 DO 40 k = 1, ntests
295 IF( result( k ).GE.thresh ) THEN
296 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
297 $ CALL alahd( nout, path )
298 WRITE( nout, fmt = 9999 )m, n, imode, k,
299 $ result( k )
300 nfail = nfail + 1
301 END IF
302 40 CONTINUE
303 nrun = nrun + 3
304 50 CONTINUE
305 END IF
306 60 CONTINUE
307 70 CONTINUE
308*
309* Print a summary of the results.
310*
311 CALL alasum( path, nout, nfail, nrun, nerrs )
312*
313 9999 FORMAT( ' M =', i5, ', N =', i5, ', type ', i2, ', test ', i2,
314 $ ', ratio =', g12.5 )
315*
316* End if ZCHKTZ
317*
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
alahd
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
dlaord
subroutine dlaord(job, n, x, incx)
DLAORD
Definition dlaord.f:73
zgeqr2
subroutine zgeqr2(m, n, a, lda, tau, work, info)
ZGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm.
Definition zgeqr2.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:101
dlamch
double precision function dlamch(cmach)
DLAMCH
Definition dlamch.f:69
zlaset
subroutine zlaset(uplo, m, n, alpha, beta, a, lda)
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition zlaset.f:104
ztzrzf
subroutine ztzrzf(m, n, a, lda, tau, work, lwork, info)
ZTZRZF
Definition ztzrzf.f:149
zerrtz
subroutine zerrtz(path, nunit)
ZERRTZ
Definition zerrtz.f:54
zlatms
subroutine zlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
ZLATMS
Definition zlatms.f:332
zqrt12
double precision function zqrt12(m, n, a, lda, s, work, lwork, rwork)
ZQRT12
Definition zqrt12.f:97
zrzt01
double precision function zrzt01(m, n, a, af, lda, tau, work, lwork)
ZRZT01
Definition zrzt01.f:98
zrzt02
double precision function zrzt02(m, n, af, lda, tau, work, lwork)
ZRZT02
Definition zrzt02.f:91
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