331 SUBROUTINE sggsvd( 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 REAL 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 REAL ANORM, BNORM, SMAX, TEMP, TOLA, TOLB, ULP, UNFL
361 EXTERNAL lsame, slamch, slange
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(
'SGGSVD', -info )
408 anorm = slange(
'1', m, n, a, lda, work )
409 bnorm = slange(
'1', p, n, b, ldb, work )
414 ulp = slamch(
'Precision' )
415 unfl = slamch(
'Safe Minimum' )
416 tola = max( m, n )*max( anorm, unfl )*ulp
417 tolb = max( p, n )*max( bnorm, unfl )*ulp
421 CALL
sggsvp( 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
stgsja( 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
scopy( 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 xerbla(SRNAME, INFO)
XERBLA
subroutine stgsja(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)
STGSJA
subroutine scopy(N, SX, INCX, SY, INCY)
SCOPY
subroutine sggsvp(JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, INFO)
SGGSVP
subroutine sggsvd(JOBU, JOBV, JOBQ, M, N, P, K, L, A, LDA, B, LDB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, IWORK, INFO)
SGGSVD computes the singular value decomposition (SVD) for OTHER matrices