SUBROUTINE ZGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK,
$ LWORK, RWORK, IWORK, INFO )
CHARACTER JOBZ
INTEGER INFO, LDA, LDU, LDVT, LWORK, M, N
INTEGER IWORK( * )
DOUBLE PRECISION RWORK( * ), S( * )
COMPLEX*16 A( LDA, * ), U( LDU, * ), VT( LDVT, * ),
$ WORK( * )
INTEGER LQUERV
PARAMETER ( LQUERV = -1 )
COMPLEX*16 CZERO, CONE
PARAMETER ( CZERO = ( 0.0D+0, 0.0D+0 ),
$ CONE = ( 1.0D+0, 0.0D+0 ) )
DOUBLE PRECISION ZERO, ONE
PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 )
LOGICAL WNTQA, WNTQAS, WNTQN, WNTQO, WNTQS
INTEGER BLK, CHUNK, I, IE, IERR, IL, IR, IRU, IRVT,
$ ISCL, ITAU, ITAUP, ITAUQ, IU, IVT, LDWKVT,
$ LDWRKL, LDWRKR, LDWRKU, MAXWRK, MINMN, MINWRK,
$ MNTHR1, MNTHR2, NRWORK, NWORK, WRKBL
DOUBLE PRECISION ANRM, BIGNUM, EPS, SMLNUM
INTEGER IDUM( 1 )
DOUBLE PRECISION DUM( 1 )
EXTERNAL DBDSDC, DLASCL, XERBLA, ZGEBRD, ZGELQF, ZGEMM,
$ ZGEQRF, ZLACP2, ZLACPY, ZLACRM, ZLARCM, ZLASCL,
$ ZLASET, ZUNGBR, ZUNGLQ, ZUNGQR, ZUNMBR
LOGICAL LSAME
INTEGER ILAENV
DOUBLE PRECISION DLAMCH, ZLANGE
EXTERNAL LSAME, ILAENV, DLAMCH, ZLANGE
INTRINSIC INT, MAX, MIN, SQRT
INFO = 0
MINMN = MIN( M, N )
MNTHR1 = INT( MINMN*17.0D0 / 9.0D0 )
MNTHR2 = INT( MINMN*5.0D0 / 3.0D0 )
WNTQA = LSAME( JOBZ, 'A' )
WNTQS = LSAME( JOBZ, 'S' )
WNTQAS = WNTQA .OR. WNTQS
WNTQO = LSAME( JOBZ, 'O' )
WNTQN = LSAME( JOBZ, 'N' )
MINWRK = 1
MAXWRK = 1
IF( .NOT.( WNTQA .OR. WNTQS .OR. WNTQO .OR. WNTQN ) ) THEN
INFO = -1
ELSE IF( M.LT.0 ) THEN
INFO = -2
ELSE IF( N.LT.0 ) THEN
INFO = -3
ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
INFO = -5
ELSE IF( LDU.LT.1 .OR. ( WNTQAS .AND. LDU.LT.M ) .OR.
$ ( WNTQO .AND. M.LT.N .AND. LDU.LT.M ) ) THEN
INFO = -8
ELSE IF( LDVT.LT.1 .OR. ( WNTQA .AND. LDVT.LT.N ) .OR.
$ ( WNTQS .AND. LDVT.LT.MINMN ) .OR.
$ ( WNTQO .AND. M.GE.N .AND. LDVT.LT.N ) ) THEN
INFO = -10
END IF
IF( INFO.EQ.0 .AND. M.GT.0 .AND. N.GT.0 ) THEN
IF( M.GE.N ) THEN
IF( M.GE.MNTHR1 ) THEN
IF( WNTQN ) THEN
MAXWRK = N + N*ILAENV( 1, 'ZGEQRF', ' ', M, N, -1,
$ -1 )
MAXWRK = MAX( MAXWRK, 2*N+2*N*
$ ILAENV( 1, 'ZGEBRD', ' ', N, N, -1, -1 ) )
MINWRK = 3*N
ELSE IF( WNTQO ) THEN
WRKBL = N + N*ILAENV( 1, 'ZGEQRF', ' ', M, N, -1, -1 )
WRKBL = MAX( WRKBL, N+N*ILAENV( 1, 'ZUNGQR', ' ', M,
$ N, N, -1 ) )
WRKBL = MAX( WRKBL, 2*N+2*N*
$ ILAENV( 1, 'ZGEBRD', ' ', N, N, -1, -1 ) )
WRKBL = MAX( WRKBL, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'QLN', N, N, N, -1 ) )
WRKBL = MAX( WRKBL, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'PRC', N, N, N, -1 ) )
MAXWRK = M*N + N*N + WRKBL
MINWRK = 2*N*N + 3*N
ELSE IF( WNTQS ) THEN
WRKBL = N + N*ILAENV( 1, 'ZGEQRF', ' ', M, N, -1, -1 )
WRKBL = MAX( WRKBL, N+N*ILAENV( 1, 'ZUNGQR', ' ', M,
$ N, N, -1 ) )
WRKBL = MAX( WRKBL, 2*N+2*N*
$ ILAENV( 1, 'ZGEBRD', ' ', N, N, -1, -1 ) )
WRKBL = MAX( WRKBL, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'QLN', N, N, N, -1 ) )
WRKBL = MAX( WRKBL, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'PRC', N, N, N, -1 ) )
MAXWRK = N*N + WRKBL
MINWRK = N*N + 3*N
ELSE IF( WNTQA ) THEN
WRKBL = N + N*ILAENV( 1, 'ZGEQRF', ' ', M, N, -1, -1 )
WRKBL = MAX( WRKBL, N+M*ILAENV( 1, 'ZUNGQR', ' ', M,
$ M, N, -1 ) )
WRKBL = MAX( WRKBL, 2*N+2*N*
$ ILAENV( 1, 'ZGEBRD', ' ', N, N, -1, -1 ) )
WRKBL = MAX( WRKBL, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'QLN', N, N, N, -1 ) )
WRKBL = MAX( WRKBL, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'PRC', N, N, N, -1 ) )
MAXWRK = N*N + WRKBL
MINWRK = N*N + 2*N + M
END IF
ELSE IF( M.GE.MNTHR2 ) THEN
MAXWRK = 2*N + ( M+N )*ILAENV( 1, 'ZGEBRD', ' ', M, N,
$ -1, -1 )
MINWRK = 2*N + M
IF( WNTQO ) THEN
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNGBR', 'P', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNGBR', 'Q', M, N, N, -1 ) )
MAXWRK = MAXWRK + M*N
MINWRK = MINWRK + N*N
ELSE IF( WNTQS ) THEN
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNGBR', 'P', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNGBR', 'Q', M, N, N, -1 ) )
ELSE IF( WNTQA ) THEN
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNGBR', 'P', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, 2*N+M*
$ ILAENV( 1, 'ZUNGBR', 'Q', M, M, N, -1 ) )
END IF
ELSE
MAXWRK = 2*N + ( M+N )*ILAENV( 1, 'ZGEBRD', ' ', M, N,
$ -1, -1 )
MINWRK = 2*N + M
IF( WNTQO ) THEN
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'PRC', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'QLN', M, N, N, -1 ) )
MAXWRK = MAXWRK + M*N
MINWRK = MINWRK + N*N
ELSE IF( WNTQS ) THEN
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'PRC', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNMBR', 'QLN', M, N, N, -1 ) )
ELSE IF( WNTQA ) THEN
MAXWRK = MAX( MAXWRK, 2*N+N*
$ ILAENV( 1, 'ZUNGBR', 'PRC', N, N, N, -1 ) )
MAXWRK = MAX( MAXWRK, 2*N+M*
$ ILAENV( 1, 'ZUNGBR', 'QLN', M, M, N, -1 ) )
END IF
END IF
ELSE
IF( N.GE.MNTHR1 ) THEN
IF( WNTQN ) THEN
MAXWRK = M + M*ILAENV( 1, 'ZGELQF', ' ', M, N, -1,
$ -1 )
MAXWRK = MAX( MAXWRK, 2*M+2*M*
$ ILAENV( 1, 'ZGEBRD', ' ', M, M, -1, -1 ) )
MINWRK = 3*M
ELSE IF( WNTQO ) THEN
WRKBL = M + M*ILAENV( 1, 'ZGELQF', ' ', M, N, -1, -1 )
WRKBL = MAX( WRKBL, M+M*ILAENV( 1, 'ZUNGLQ', ' ', M,
$ N, M, -1 ) )
WRKBL = MAX( WRKBL, 2*M+2*M*
$ ILAENV( 1, 'ZGEBRD', ' ', M, M, -1, -1 ) )
WRKBL = MAX( WRKBL, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'PRC', M, M, M, -1 ) )
WRKBL = MAX( WRKBL, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'QLN', M, M, M, -1 ) )
MAXWRK = M*N + M*M + WRKBL
MINWRK = 2*M*M + 3*M
ELSE IF( WNTQS ) THEN
WRKBL = M + M*ILAENV( 1, 'ZGELQF', ' ', M, N, -1, -1 )
WRKBL = MAX( WRKBL, M+M*ILAENV( 1, 'ZUNGLQ', ' ', M,
$ N, M, -1 ) )
WRKBL = MAX( WRKBL, 2*M+2*M*
$ ILAENV( 1, 'ZGEBRD', ' ', M, M, -1, -1 ) )
WRKBL = MAX( WRKBL, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'PRC', M, M, M, -1 ) )
WRKBL = MAX( WRKBL, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'QLN', M, M, M, -1 ) )
MAXWRK = M*M + WRKBL
MINWRK = M*M + 3*M
ELSE IF( WNTQA ) THEN
WRKBL = M + M*ILAENV( 1, 'ZGELQF', ' ', M, N, -1, -1 )
WRKBL = MAX( WRKBL, M+N*ILAENV( 1, 'ZUNGLQ', ' ', N,
$ N, M, -1 ) )
WRKBL = MAX( WRKBL, 2*M+2*M*
$ ILAENV( 1, 'ZGEBRD', ' ', M, M, -1, -1 ) )
WRKBL = MAX( WRKBL, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'PRC', M, M, M, -1 ) )
WRKBL = MAX( WRKBL, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'QLN', M, M, M, -1 ) )
MAXWRK = M*M + WRKBL
MINWRK = M*M + 2*M + N
END IF
ELSE IF( N.GE.MNTHR2 ) THEN
MAXWRK = 2*M + ( M+N )*ILAENV( 1, 'ZGEBRD', ' ', M, N,
$ -1, -1 )
MINWRK = 2*M + N
IF( WNTQO ) THEN
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'P', M, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'Q', M, M, N, -1 ) )
MAXWRK = MAXWRK + M*N
MINWRK = MINWRK + M*M
ELSE IF( WNTQS ) THEN
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'P', M, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'Q', M, M, N, -1 ) )
ELSE IF( WNTQA ) THEN
MAXWRK = MAX( MAXWRK, 2*M+N*
$ ILAENV( 1, 'ZUNGBR', 'P', N, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'Q', M, M, N, -1 ) )
END IF
ELSE
MAXWRK = 2*M + ( M+N )*ILAENV( 1, 'ZGEBRD', ' ', M, N,
$ -1, -1 )
MINWRK = 2*M + N
IF( WNTQO ) THEN
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'PRC', M, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNMBR', 'QLN', M, M, N, -1 ) )
MAXWRK = MAXWRK + M*N
MINWRK = MINWRK + M*M
ELSE IF( WNTQS ) THEN
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'PRC', M, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'QLN', M, M, N, -1 ) )
ELSE IF( WNTQA ) THEN
MAXWRK = MAX( MAXWRK, 2*M+N*
$ ILAENV( 1, 'ZUNGBR', 'PRC', N, N, M, -1 ) )
MAXWRK = MAX( MAXWRK, 2*M+M*
$ ILAENV( 1, 'ZUNGBR', 'QLN', M, M, N, -1 ) )
END IF
END IF
END IF
MAXWRK = MAX( MAXWRK, MINWRK )
END IF
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = MAXWRK
IF( LWORK.LT.MINWRK .AND. LWORK.NE.LQUERV )
$ INFO = -13
END IF
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'ZGESDD', -INFO )
RETURN
END IF
IF( LWORK.EQ.LQUERV )
$ RETURN
IF( M.EQ.0 .OR. N.EQ.0 ) THEN
RETURN
END IF
EPS = DLAMCH( 'P' )
SMLNUM = SQRT( DLAMCH( 'S' ) ) / EPS
BIGNUM = ONE / SMLNUM
ANRM = ZLANGE( 'M', M, N, A, LDA, DUM )
ISCL = 0
IF( ANRM.GT.ZERO .AND. ANRM.LT.SMLNUM ) THEN
ISCL = 1
CALL ZLASCL( 'G', 0, 0, ANRM, SMLNUM, M, N, A, LDA, IERR )
ELSE IF( ANRM.GT.BIGNUM ) THEN
ISCL = 1
CALL ZLASCL( 'G', 0, 0, ANRM, BIGNUM, M, N, A, LDA, IERR )
END IF
IF( M.GE.N ) THEN
IF( M.GE.MNTHR1 ) THEN
IF( WNTQN ) THEN
ITAU = 1
NWORK = ITAU + N
CALL ZGEQRF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLASET( 'L', N-1, N-1, CZERO, CZERO, A( 2, 1 ),
$ LDA )
IE = 1
ITAUQ = 1
ITAUP = ITAUQ + N
NWORK = ITAUP + N
CALL ZGEBRD( N, N, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
NRWORK = IE + N
CALL DBDSDC( 'U', 'N', N, S, RWORK( IE ), DUM, 1, DUM, 1,
$ DUM, IDUM, RWORK( NRWORK ), IWORK, INFO )
ELSE IF( WNTQO ) THEN
IU = 1
LDWRKU = N
IR = IU + LDWRKU*N
IF( LWORK.GE.M*N+N*N+3*N ) THEN
LDWRKR = M
ELSE
LDWRKR = ( LWORK-N*N-3*N ) / N
END IF
ITAU = IR + LDWRKR*N
NWORK = ITAU + N
CALL ZGEQRF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'U', N, N, A, LDA, WORK( IR ), LDWRKR )
CALL ZLASET( 'L', N-1, N-1, CZERO, CZERO, WORK( IR+1 ),
$ LDWRKR )
CALL ZUNGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IE = 1
ITAUQ = ITAU
ITAUP = ITAUQ + N
NWORK = ITAUP + N
CALL ZGEBRD( N, N, WORK( IR ), LDWRKR, S, RWORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
IRU = IE + N
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', N, N, RWORK( IRU ), N, WORK( IU ),
$ LDWRKU )
CALL ZUNMBR( 'Q', 'L', 'N', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), WORK( IU ), LDWRKU,
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', N, N, RWORK( IRVT ), N, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
DO 10 I = 1, M, LDWRKR
CHUNK = MIN( M-I+1, LDWRKR )
CALL ZGEMM( 'N', 'N', CHUNK, N, N, CONE, A( I, 1 ),
$ LDA, WORK( IU ), LDWRKU, CZERO,
$ WORK( IR ), LDWRKR )
CALL ZLACPY( 'F', CHUNK, N, WORK( IR ), LDWRKR,
$ A( I, 1 ), LDA )
10 CONTINUE
ELSE IF( WNTQS ) THEN
IR = 1
LDWRKR = N
ITAU = IR + LDWRKR*N
NWORK = ITAU + N
CALL ZGEQRF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'U', N, N, A, LDA, WORK( IR ), LDWRKR )
CALL ZLASET( 'L', N-1, N-1, CZERO, CZERO, WORK( IR+1 ),
$ LDWRKR )
CALL ZUNGQR( M, N, N, A, LDA, WORK( ITAU ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IE = 1
ITAUQ = ITAU
ITAUP = ITAUQ + N
NWORK = ITAUP + N
CALL ZGEBRD( N, N, WORK( IR ), LDWRKR, S, RWORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
IRU = IE + N
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', N, N, RWORK( IRU ), N, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', N, N, RWORK( IRVT ), N, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, N, WORK( IR ), LDWRKR,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'F', N, N, U, LDU, WORK( IR ), LDWRKR )
CALL ZGEMM( 'N', 'N', M, N, N, CONE, A, LDA, WORK( IR ),
$ LDWRKR, CZERO, U, LDU )
ELSE IF( WNTQA ) THEN
IU = 1
LDWRKU = N
ITAU = IU + LDWRKU*N
NWORK = ITAU + N
CALL ZGEQRF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'L', M, N, A, LDA, U, LDU )
CALL ZUNGQR( M, M, N, U, LDU, WORK( ITAU ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLASET( 'L', N-1, N-1, CZERO, CZERO, A( 2, 1 ),
$ LDA )
IE = 1
ITAUQ = ITAU
ITAUP = ITAUQ + N
NWORK = ITAUP + N
CALL ZGEBRD( N, N, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
IRU = IE + N
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', N, N, RWORK( IRU ), N, WORK( IU ),
$ LDWRKU )
CALL ZUNMBR( 'Q', 'L', 'N', N, N, N, A, LDA,
$ WORK( ITAUQ ), WORK( IU ), LDWRKU,
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', N, N, RWORK( IRVT ), N, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, N, A, LDA,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZGEMM( 'N', 'N', M, N, N, CONE, U, LDU, WORK( IU ),
$ LDWRKU, CZERO, A, LDA )
CALL ZLACPY( 'F', M, N, A, LDA, U, LDU )
END IF
ELSE IF( M.GE.MNTHR2 ) THEN
IE = 1
NRWORK = IE + N
ITAUQ = 1
ITAUP = ITAUQ + N
NWORK = ITAUP + N
CALL ZGEBRD( M, N, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
IF( WNTQN ) THEN
CALL DBDSDC( 'U', 'N', N, S, RWORK( IE ), DUM, 1, DUM, 1,
$ DUM, IDUM, RWORK( NRWORK ), IWORK, INFO )
ELSE IF( WNTQO ) THEN
IU = NWORK
IRU = NRWORK
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL ZLACPY( 'U', N, N, A, LDA, VT, LDVT )
CALL ZUNGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZUNGBR( 'Q', M, N, N, A, LDA, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IF( LWORK.GE.M*N+3*N ) THEN
LDWRKU = M
ELSE
LDWRKU = ( LWORK-3*N ) / N
END IF
NWORK = IU + LDWRKU*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLARCM( N, N, RWORK( IRVT ), N, VT, LDVT,
$ WORK( IU ), LDWRKU, RWORK( NRWORK ) )
CALL ZLACPY( 'F', N, N, WORK( IU ), LDWRKU, VT, LDVT )
NRWORK = IRVT
DO 20 I = 1, M, LDWRKU
CHUNK = MIN( M-I+1, LDWRKU )
CALL ZLACRM( CHUNK, N, A( I, 1 ), LDA, RWORK( IRU ),
$ N, WORK( IU ), LDWRKU, RWORK( NRWORK ) )
CALL ZLACPY( 'F', CHUNK, N, WORK( IU ), LDWRKU,
$ A( I, 1 ), LDA )
20 CONTINUE
ELSE IF( WNTQS ) THEN
CALL ZLACPY( 'U', N, N, A, LDA, VT, LDVT )
CALL ZUNGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACPY( 'L', M, N, A, LDA, U, LDU )
CALL ZUNGBR( 'Q', M, N, N, U, LDU, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IRU = NRWORK
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLARCM( N, N, RWORK( IRVT ), N, VT, LDVT, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', N, N, A, LDA, VT, LDVT )
NRWORK = IRVT
CALL ZLACRM( M, N, U, LDU, RWORK( IRU ), N, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, N, A, LDA, U, LDU )
ELSE
CALL ZLACPY( 'U', N, N, A, LDA, VT, LDVT )
CALL ZUNGBR( 'P', N, N, N, VT, LDVT, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACPY( 'L', M, N, A, LDA, U, LDU )
CALL ZUNGBR( 'Q', M, M, N, U, LDU, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IRU = NRWORK
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLARCM( N, N, RWORK( IRVT ), N, VT, LDVT, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', N, N, A, LDA, VT, LDVT )
NRWORK = IRVT
CALL ZLACRM( M, N, U, LDU, RWORK( IRU ), N, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, N, A, LDA, U, LDU )
END IF
ELSE
IE = 1
NRWORK = IE + N
ITAUQ = 1
ITAUP = ITAUQ + N
NWORK = ITAUP + N
CALL ZGEBRD( M, N, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
IF( WNTQN ) THEN
CALL DBDSDC( 'U', 'N', N, S, RWORK( IE ), DUM, 1, DUM, 1,
$ DUM, IDUM, RWORK( NRWORK ), IWORK, INFO )
ELSE IF( WNTQO ) THEN
IU = NWORK
IRU = NRWORK
IRVT = IRU + N*N
NRWORK = IRVT + N*N
IF( LWORK.GE.M*N+3*N ) THEN
LDWRKU = M
ELSE
LDWRKU = ( LWORK-3*N ) / N
END IF
NWORK = IU + LDWRKU*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', N, N, RWORK( IRVT ), N, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, N, A, LDA,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
IF( LWORK.GE.M*N+3*N ) THEN
CALL ZLASET( 'F', M, N, CZERO, CZERO, WORK( IU ),
$ LDWRKU )
CALL ZLACP2( 'F', N, N, RWORK( IRU ), N, WORK( IU ),
$ LDWRKU )
CALL ZUNMBR( 'Q', 'L', 'N', M, N, N, A, LDA,
$ WORK( ITAUQ ), WORK( IU ), LDWRKU,
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACPY( 'F', M, N, WORK( IU ), LDWRKU, A, LDA )
ELSE
CALL ZUNGBR( 'Q', M, N, N, A, LDA, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
NRWORK = IRVT
DO 30 I = 1, M, LDWRKU
CHUNK = MIN( M-I+1, LDWRKU )
CALL ZLACRM( CHUNK, N, A( I, 1 ), LDA,
$ RWORK( IRU ), N, WORK( IU ), LDWRKU,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', CHUNK, N, WORK( IU ), LDWRKU,
$ A( I, 1 ), LDA )
30 CONTINUE
END IF
ELSE IF( WNTQS ) THEN
IRU = NRWORK
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLASET( 'F', M, N, CZERO, CZERO, U, LDU )
CALL ZLACP2( 'F', N, N, RWORK( IRU ), N, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, N, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', N, N, RWORK( IRVT ), N, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, N, A, LDA,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
ELSE
IRU = NRWORK
IRVT = IRU + N*N
NRWORK = IRVT + N*N
CALL DBDSDC( 'U', 'I', N, S, RWORK( IE ), RWORK( IRU ),
$ N, RWORK( IRVT ), N, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLASET( 'F', M, M, CZERO, CZERO, U, LDU )
IF( M.GT.N ) THEN
CALL ZLASET( 'F', M-N, M-N, CZERO, CONE,
$ U( N+1, N+1 ), LDU )
END IF
CALL ZLACP2( 'F', N, N, RWORK( IRU ), N, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', N, N, RWORK( IRVT ), N, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, N, A, LDA,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
END IF
END IF
ELSE
IF( N.GE.MNTHR1 ) THEN
IF( WNTQN ) THEN
ITAU = 1
NWORK = ITAU + M
CALL ZGELQF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLASET( 'U', M-1, M-1, CZERO, CZERO, A( 1, 2 ),
$ LDA )
IE = 1
ITAUQ = 1
ITAUP = ITAUQ + M
NWORK = ITAUP + M
CALL ZGEBRD( M, M, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
NRWORK = IE + M
CALL DBDSDC( 'U', 'N', M, S, RWORK( IE ), DUM, 1, DUM, 1,
$ DUM, IDUM, RWORK( NRWORK ), IWORK, INFO )
ELSE IF( WNTQO ) THEN
IVT = 1
LDWKVT = M
IL = IVT + LDWKVT*M
IF( LWORK.GE.M*N+M*M+3*M ) THEN
LDWRKL = M
CHUNK = N
ELSE
LDWRKL = M
CHUNK = ( LWORK-M*M-3*M ) / M
END IF
ITAU = IL + LDWRKL*CHUNK
NWORK = ITAU + M
CALL ZGELQF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'L', M, M, A, LDA, WORK( IL ), LDWRKL )
CALL ZLASET( 'U', M-1, M-1, CZERO, CZERO,
$ WORK( IL+LDWRKL ), LDWRKL )
CALL ZUNGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IE = 1
ITAUQ = ITAU
ITAUP = ITAUQ + M
NWORK = ITAUP + M
CALL ZGEBRD( M, M, WORK( IL ), LDWRKL, S, RWORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
IRU = IE + M
IRVT = IRU + M*M
NRWORK = IRVT + M*M
CALL DBDSDC( 'U', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', M, M, RWORK( IRU ), M, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, M, WORK( IL ), LDWRKL,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', M, M, RWORK( IRVT ), M, WORK( IVT ),
$ LDWKVT )
CALL ZUNMBR( 'P', 'R', 'C', M, M, M, WORK( IL ), LDWRKL,
$ WORK( ITAUP ), WORK( IVT ), LDWKVT,
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
DO 40 I = 1, N, CHUNK
BLK = MIN( N-I+1, CHUNK )
CALL ZGEMM( 'N', 'N', M, BLK, M, CONE, WORK( IVT ), M,
$ A( 1, I ), LDA, CZERO, WORK( IL ),
$ LDWRKL )
CALL ZLACPY( 'F', M, BLK, WORK( IL ), LDWRKL,
$ A( 1, I ), LDA )
40 CONTINUE
ELSE IF( WNTQS ) THEN
IL = 1
LDWRKL = M
ITAU = IL + LDWRKL*M
NWORK = ITAU + M
CALL ZGELQF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'L', M, M, A, LDA, WORK( IL ), LDWRKL )
CALL ZLASET( 'U', M-1, M-1, CZERO, CZERO,
$ WORK( IL+LDWRKL ), LDWRKL )
CALL ZUNGLQ( M, N, M, A, LDA, WORK( ITAU ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IE = 1
ITAUQ = ITAU
ITAUP = ITAUQ + M
NWORK = ITAUP + M
CALL ZGEBRD( M, M, WORK( IL ), LDWRKL, S, RWORK( IE ),
$ WORK( ITAUQ ), WORK( ITAUP ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
IRU = IE + M
IRVT = IRU + M*M
NRWORK = IRVT + M*M
CALL DBDSDC( 'U', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', M, M, RWORK( IRU ), M, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, M, WORK( IL ), LDWRKL,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', M, M, RWORK( IRVT ), M, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', M, M, M, WORK( IL ), LDWRKL,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'F', M, M, VT, LDVT, WORK( IL ), LDWRKL )
CALL ZGEMM( 'N', 'N', M, N, M, CONE, WORK( IL ), LDWRKL,
$ A, LDA, CZERO, VT, LDVT )
ELSE IF( WNTQA ) THEN
IVT = 1
LDWKVT = M
ITAU = IVT + LDWKVT*M
NWORK = ITAU + M
CALL ZGELQF( M, N, A, LDA, WORK( ITAU ), WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACPY( 'U', M, N, A, LDA, VT, LDVT )
CALL ZUNGLQ( N, N, M, VT, LDVT, WORK( ITAU ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLASET( 'U', M-1, M-1, CZERO, CZERO, A( 1, 2 ),
$ LDA )
IE = 1
ITAUQ = ITAU
ITAUP = ITAUQ + M
NWORK = ITAUP + M
CALL ZGEBRD( M, M, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
IRU = IE + M
IRVT = IRU + M*M
NRWORK = IRVT + M*M
CALL DBDSDC( 'U', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', M, M, RWORK( IRU ), M, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, M, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLACP2( 'F', M, M, RWORK( IRVT ), M, WORK( IVT ),
$ LDWKVT )
CALL ZUNMBR( 'P', 'R', 'C', M, M, M, A, LDA,
$ WORK( ITAUP ), WORK( IVT ), LDWKVT,
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZGEMM( 'N', 'N', M, N, M, CONE, WORK( IVT ), LDWKVT,
$ VT, LDVT, CZERO, A, LDA )
CALL ZLACPY( 'F', M, N, A, LDA, VT, LDVT )
END IF
ELSE IF( N.GE.MNTHR2 ) THEN
IE = 1
NRWORK = IE + M
ITAUQ = 1
ITAUP = ITAUQ + M
NWORK = ITAUP + M
CALL ZGEBRD( M, N, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
IF( WNTQN ) THEN
CALL DBDSDC( 'L', 'N', M, S, RWORK( IE ), DUM, 1, DUM, 1,
$ DUM, IDUM, RWORK( NRWORK ), IWORK, INFO )
ELSE IF( WNTQO ) THEN
IRVT = NRWORK
IRU = IRVT + M*M
NRWORK = IRU + M*M
IVT = NWORK
CALL ZLACPY( 'L', M, M, A, LDA, U, LDU )
CALL ZUNGBR( 'Q', M, M, N, U, LDU, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZUNGBR( 'P', M, N, M, A, LDA, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
LDWKVT = M
IF( LWORK.GE.M*N+3*M ) THEN
NWORK = IVT + LDWKVT*N
CHUNK = N
ELSE
CHUNK = ( LWORK-3*M ) / M
NWORK = IVT + LDWKVT*CHUNK
END IF
CALL DBDSDC( 'L', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACRM( M, M, U, LDU, RWORK( IRU ), M, WORK( IVT ),
$ LDWKVT, RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, M, WORK( IVT ), LDWKVT, U, LDU )
NRWORK = IRU
DO 50 I = 1, N, CHUNK
BLK = MIN( N-I+1, CHUNK )
CALL ZLARCM( M, BLK, RWORK( IRVT ), M, A( 1, I ), LDA,
$ WORK( IVT ), LDWKVT, RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, BLK, WORK( IVT ), LDWKVT,
$ A( 1, I ), LDA )
50 CONTINUE
ELSE IF( WNTQS ) THEN
CALL ZLACPY( 'L', M, M, A, LDA, U, LDU )
CALL ZUNGBR( 'Q', M, M, N, U, LDU, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACPY( 'U', M, N, A, LDA, VT, LDVT )
CALL ZUNGBR( 'P', M, N, M, VT, LDVT, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IRVT = NRWORK
IRU = IRVT + M*M
NRWORK = IRU + M*M
CALL DBDSDC( 'L', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACRM( M, M, U, LDU, RWORK( IRU ), M, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, M, A, LDA, U, LDU )
NRWORK = IRU
CALL ZLARCM( M, N, RWORK( IRVT ), M, VT, LDVT, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, N, A, LDA, VT, LDVT )
ELSE
CALL ZLACPY( 'L', M, M, A, LDA, U, LDU )
CALL ZUNGBR( 'Q', M, M, N, U, LDU, WORK( ITAUQ ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACPY( 'U', M, N, A, LDA, VT, LDVT )
CALL ZUNGBR( 'P', N, N, M, VT, LDVT, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
IRVT = NRWORK
IRU = IRVT + M*M
NRWORK = IRU + M*M
CALL DBDSDC( 'L', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACRM( M, M, U, LDU, RWORK( IRU ), M, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, M, A, LDA, U, LDU )
CALL ZLARCM( M, N, RWORK( IRVT ), M, VT, LDVT, A, LDA,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, N, A, LDA, VT, LDVT )
END IF
ELSE
IE = 1
NRWORK = IE + M
ITAUQ = 1
ITAUP = ITAUQ + M
NWORK = ITAUP + M
CALL ZGEBRD( M, N, A, LDA, S, RWORK( IE ), WORK( ITAUQ ),
$ WORK( ITAUP ), WORK( NWORK ), LWORK-NWORK+1,
$ IERR )
IF( WNTQN ) THEN
CALL DBDSDC( 'L', 'N', M, S, RWORK( IE ), DUM, 1, DUM, 1,
$ DUM, IDUM, RWORK( NRWORK ), IWORK, INFO )
ELSE IF( WNTQO ) THEN
LDWKVT = M
IVT = NWORK
IF( LWORK.GE.M*N+3*M ) THEN
CALL ZLASET( 'F', M, N, CZERO, CZERO, WORK( IVT ),
$ LDWKVT )
NWORK = IVT + LDWKVT*N
ELSE
CHUNK = ( LWORK-3*M ) / M
NWORK = IVT + LDWKVT*CHUNK
END IF
IRVT = NRWORK
IRU = IRVT + M*M
NRWORK = IRU + M*M
CALL DBDSDC( 'L', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', M, M, RWORK( IRU ), M, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
IF( LWORK.GE.M*N+3*M ) THEN
CALL ZLACP2( 'F', M, M, RWORK( IRVT ), M, WORK( IVT ),
$ LDWKVT )
CALL ZUNMBR( 'P', 'R', 'C', M, N, M, A, LDA,
$ WORK( ITAUP ), WORK( IVT ), LDWKVT,
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
CALL ZLACPY( 'F', M, N, WORK( IVT ), LDWKVT, A, LDA )
ELSE
CALL ZUNGBR( 'P', M, N, M, A, LDA, WORK( ITAUP ),
$ WORK( NWORK ), LWORK-NWORK+1, IERR )
NRWORK = IRU
DO 60 I = 1, N, CHUNK
BLK = MIN( N-I+1, CHUNK )
CALL ZLARCM( M, BLK, RWORK( IRVT ), M, A( 1, I ),
$ LDA, WORK( IVT ), LDWKVT,
$ RWORK( NRWORK ) )
CALL ZLACPY( 'F', M, BLK, WORK( IVT ), LDWKVT,
$ A( 1, I ), LDA )
60 CONTINUE
END IF
ELSE IF( WNTQS ) THEN
IRVT = NRWORK
IRU = IRVT + M*M
NRWORK = IRU + M*M
CALL DBDSDC( 'L', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', M, M, RWORK( IRU ), M, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLASET( 'F', M, N, CZERO, CZERO, VT, LDVT )
CALL ZLACP2( 'F', M, M, RWORK( IRVT ), M, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', M, N, M, A, LDA,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
ELSE
IRVT = NRWORK
IRU = IRVT + M*M
NRWORK = IRU + M*M
CALL DBDSDC( 'L', 'I', M, S, RWORK( IE ), RWORK( IRU ),
$ M, RWORK( IRVT ), M, DUM, IDUM,
$ RWORK( NRWORK ), IWORK, INFO )
CALL ZLACP2( 'F', M, M, RWORK( IRU ), M, U, LDU )
CALL ZUNMBR( 'Q', 'L', 'N', M, M, N, A, LDA,
$ WORK( ITAUQ ), U, LDU, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
CALL ZLASET( 'F', N, N, CZERO, CONE, VT, LDVT )
CALL ZLACP2( 'F', M, M, RWORK( IRVT ), M, VT, LDVT )
CALL ZUNMBR( 'P', 'R', 'C', N, N, M, A, LDA,
$ WORK( ITAUP ), VT, LDVT, WORK( NWORK ),
$ LWORK-NWORK+1, IERR )
END IF
END IF
END IF
IF( ISCL.EQ.1 ) THEN
IF( ANRM.GT.BIGNUM )
$ CALL DLASCL( 'G', 0, 0, BIGNUM, ANRM, MINMN, 1, S, MINMN,
$ IERR )
IF( INFO.NE.0 .AND. ANRM.GT.BIGNUM )
$ CALL DLASCL( 'G', 0, 0, BIGNUM, ANRM, MINMN-1, 1,
$ RWORK( IE ), MINMN, IERR )
IF( ANRM.LT.SMLNUM )
$ CALL DLASCL( 'G', 0, 0, SMLNUM, ANRM, MINMN, 1, S, MINMN,
$ IERR )
IF( INFO.NE.0 .AND. ANRM.LT.SMLNUM )
$ CALL DLASCL( 'G', 0, 0, SMLNUM, ANRM, MINMN-1, 1,
$ RWORK( IE ), MINMN, IERR )
END IF
WORK( 1 ) = MAXWRK
RETURN
END