331 SUBROUTINE dggsvd( JOBU, JOBV, JOBQ, M, N, P, K, L, A, LDA, B,
332 $ ldb, alpha, beta, u, ldu, v, ldv, q, ldq, work,
341 CHARACTER JOBQ, JOBU, JOBV
342 INTEGER INFO, K, L, LDA, LDB, LDQ, LDU, LDV, M, N, P
346 DOUBLE PRECISION A( lda, * ), ALPHA( * ), B( ldb, * ),
347 $ beta( * ), q( ldq, * ), u( ldu, * ),
348 $ v( ldv, * ), work( * )
354 LOGICAL WANTQ, WANTU, WANTV
355 INTEGER I, IBND, ISUB, J, NCYCLE
356 DOUBLE PRECISION ANORM, BNORM, SMAX, TEMP, TOLA, TOLB, ULP, UNFL
360 DOUBLE PRECISION DLAMCH, DLANGE
361 EXTERNAL lsame, dlamch, dlange
373 wantu = lsame( jobu,
'U' )
374 wantv = lsame( jobv,
'V' )
375 wantq = lsame( jobq,
'Q' )
378 IF( .NOT.( wantu .OR. lsame( jobu,
'N' ) ) )
THEN
380 ELSE IF( .NOT.( wantv .OR. lsame( jobv,
'N' ) ) )
THEN
382 ELSE IF( .NOT.( wantq .OR. lsame( jobq,
'N' ) ) )
THEN
384 ELSE IF( m.LT.0 )
THEN
386 ELSE IF( n.LT.0 )
THEN
388 ELSE IF( p.LT.0 )
THEN
390 ELSE IF( lda.LT.max( 1, m ) )
THEN
392 ELSE IF( ldb.LT.max( 1, p ) )
THEN
394 ELSE IF( ldu.LT.1 .OR. ( wantu .AND. ldu.LT.m ) )
THEN
396 ELSE IF( ldv.LT.1 .OR. ( wantv .AND. ldv.LT.p ) )
THEN
398 ELSE IF( ldq.LT.1 .OR. ( wantq .AND. ldq.LT.n ) )
THEN
402 CALL xerbla(
'DGGSVD', -info )
408 anorm = dlange(
'1', m, n, a, lda, work )
409 bnorm = dlange(
'1', p, n, b, ldb, work )
414 ulp = dlamch(
'Precision' )
415 unfl = dlamch(
'Safe Minimum' )
416 tola = max( m, n )*max( anorm, unfl )*ulp
417 tolb = max( p, n )*max( bnorm, unfl )*ulp
421 CALL dggsvp( jobu, jobv, jobq, m, p, n, a, lda, b, ldb, tola,
422 $ tolb, k, l, u, ldu, v, ldv, q, ldq, iwork, work,
423 $ work( n+1 ), info )
427 CALL dtgsja( jobu, jobv, jobq, m, p, n, k, l, a, lda, b, ldb,
428 $ tola, tolb, alpha, beta, u, ldu, v, ldv, q, ldq,
429 $ work, ncycle, info )
434 CALL dcopy( n, alpha, 1, work, 1 )
442 DO 10 j = i + 1, ibnd
444 IF( temp.GT.smax )
THEN
450 work( k+isub ) = work( k+i )
452 iwork( k+i ) = k + isub
subroutine dtgsja(JOBU, JOBV, JOBQ, M, P, N, K, L, A, LDA, B, LDB, TOLA, TOLB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, NCYCLE, INFO)
DTGSJA
subroutine dcopy(N, DX, INCX, DY, INCY)
DCOPY
subroutine xerbla(SRNAME, INFO)
XERBLA
subroutine dggsvd(JOBU, JOBV, JOBQ, M, N, P, K, L, A, LDA, B, LDB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, IWORK, INFO)
DGGSVD computes the singular value decomposition (SVD) for OTHER matrices
subroutine dggsvp(JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, INFO)
DGGSVP