136 SUBROUTINE cqlt03( M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK,
145 INTEGER K, LDA, LWORK, M, N
148 REAL RESULT( * ), RWORK( * )
149 COMPLEX AF( lda, * ), C( lda, * ), CC( lda, * ),
150 $ q( lda, * ), tau( * ), work( lwork )
157 parameter( zero = 0.0e+0, one = 1.0e+0 )
159 parameter( rogue = ( -1.0e+10, -1.0e+10 ) )
162 CHARACTER SIDE, TRANS
163 INTEGER INFO, ISIDE, ITRANS, J, MC, MINMN, NC
164 REAL CNORM, EPS, RESID
169 EXTERNAL lsame, clange, slamch
178 INTRINSIC cmplx, max, min, real
184 COMMON / srnamc / srnamt
187 DATA iseed / 1988, 1989, 1990, 1991 /
191 eps = slamch(
'Epsilon' )
196 IF( minmn.EQ.0 )
THEN
206 CALL
claset(
'Full', m, m, rogue, rogue, q, lda )
207 IF( k.GT.0 .AND. m.GT.k )
208 $ CALL
clacpy(
'Full', m-k, k, af( 1, n-k+1 ), lda,
209 $ q( 1, m-k+1 ), lda )
211 $ CALL
clacpy(
'Upper', k-1, k-1, af( m-k+1, n-k+2 ), lda,
212 $ q( m-k+1, m-k+2 ), lda )
217 CALL
cungql( m, m, k, q, lda, tau( minmn-k+1 ), work, lwork,
221 IF( iside.EQ.1 )
THEN
234 CALL
clarnv( 2, iseed, mc, c( 1, j ) )
236 cnorm = clange(
'1', mc, nc, c, lda, rwork )
241 IF( itrans.EQ.1 )
THEN
249 CALL
clacpy(
'Full', mc, nc, c, lda, cc, lda )
255 $ CALL
cunmql( side, trans, mc, nc, k, af( 1, n-k+1 ),
256 $ lda, tau( minmn-k+1 ), cc, lda, work,
261 IF( lsame( side,
'L' ) )
THEN
262 CALL
cgemm( trans,
'No transpose', mc, nc, mc,
263 $ cmplx( -one ), q, lda, c, lda, cmplx( one ),
266 CALL
cgemm(
'No transpose', trans, mc, nc, nc,
267 $ cmplx( -one ), c, lda, q, lda, cmplx( one ),
273 resid = clange(
'1', mc, nc, cc, lda, rwork )
274 result( ( iside-1 )*2+itrans ) = resid /
275 $ (
REAL( MAX( 1, M ) )*cnorm*eps )
subroutine claset(UPLO, M, N, ALPHA, BETA, A, LDA)
CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values...
subroutine cungql(M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
CUNGQL
subroutine cqlt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
CQLT03
subroutine clacpy(UPLO, M, N, A, LDA, B, LDB)
CLACPY copies all or part of one two-dimensional array to another.
subroutine clarnv(IDIST, ISEED, N, X)
CLARNV returns a vector of random numbers from a uniform or normal distribution.
subroutine cunmql(SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
CUNMQL
subroutine cgemm(TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CGEMM