zlauu2.f

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      SUBROUTINE ZLAUU2( UPLO, N, A, LDA, INFO )
*
*  -- LAPACK auxiliary routine (version 3.3.1) --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*  -- April 2011                                                      --
*
*     .. Scalar Arguments ..
      CHARACTER          UPLO
      INTEGER            INFO, LDA, N
*     ..
*     .. Array Arguments ..
      COMPLEX*16         A( LDA, * )
*     ..
*
*  Purpose
*  =======
*
*  ZLAUU2 computes the product U * U**H or L**H * L, where the triangular
*  factor U or L is stored in the upper or lower triangular part of
*  the array A.
*
*  If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
*  overwriting the factor U in A.
*  If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
*  overwriting the factor L in A.
*
*  This is the unblocked form of the algorithm, calling Level 2 BLAS.
*
*  Arguments
*  =========
*
*  UPLO    (input) CHARACTER*1
*          Specifies whether the triangular factor stored in the array A
*          is upper or lower triangular:
*          = 'U':  Upper triangular
*          = 'L':  Lower triangular
*
*  N       (input) INTEGER
*          The order of the triangular factor U or L.  N >= 0.
*
*  A       (input/output) COMPLEX*16 array, dimension (LDA,N)
*          On entry, the triangular factor U or L.
*          On exit, if UPLO = 'U', the upper triangle of A is
*          overwritten with the upper triangle of the product U * U**H;
*          if UPLO = 'L', the lower triangle of A is overwritten with
*          the lower triangle of the product L**H * L.
*
*  LDA     (input) INTEGER
*          The leading dimension of the array A.  LDA >= max(1,N).
*
*  INFO    (output) INTEGER
*          = 0: successful exit
*          < 0: if INFO = -k, the k-th argument had an illegal value
*
*  =====================================================================
*
*     .. Parameters ..
      COMPLEX*16         ONE
      PARAMETER          ( ONE = ( 1.0D+0, 0.0D+0 ) )
*     ..
*     .. Local Scalars ..
      LOGICAL            UPPER
      INTEGER            I
      DOUBLE PRECISION   AII
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      COMPLEX*16         ZDOTC
      EXTERNAL           LSAME, ZDOTC
*     ..
*     .. External Subroutines ..
      EXTERNAL           XERBLA, ZDSCAL, ZGEMV, ZLACGV
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          DBLE, DCMPLX, MAX
*     ..
*     .. Executable Statements ..
*
*     Test the input parameters.
*
      INFO = 0
      UPPER = LSAME( UPLO, 'U' )
      IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
         INFO = -1
      ELSE IF( N.LT.0 ) THEN
         INFO = -2
      ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
         INFO = -4
      END IF
      IF( INFO.NE.0 ) THEN
         CALL XERBLA( 'ZLAUU2', -INFO )
         RETURN
      END IF
*
*     Quick return if possible
*
      IF( N.EQ.0 )
     $   RETURN
*
      IF( UPPER ) THEN
*
*        Compute the product U * U**H.
*
         DO 10 I = 1, N
            AII = A( I, I )
            IF( I.LT.N ) THEN
               A( I, I ) = AII*AII + DBLE( ZDOTC( N-I, A( I, I+1 ), LDA,
     $                     A( I, I+1 ), LDA ) )
               CALL ZLACGV( N-I, A( I, I+1 ), LDA )
               CALL ZGEMV( 'No transpose', I-1, N-I, ONE, A( 1, I+1 ),
     $                     LDA, A( I, I+1 ), LDA, DCMPLX( AII ),
     $                     A( 1, I ), 1 )
               CALL ZLACGV( N-I, A( I, I+1 ), LDA )
            ELSE
               CALL ZDSCAL( I, AII, A( 1, I ), 1 )
            END IF
   10    CONTINUE
*
      ELSE
*
*        Compute the product L**H * L.
*
         DO 20 I = 1, N
            AII = A( I, I )
            IF( I.LT.N ) THEN
               A( I, I ) = AII*AII + DBLE( ZDOTC( N-I, A( I+1, I ), 1,
     $                     A( I+1, I ), 1 ) )
               CALL ZLACGV( I-1, A( I, 1 ), LDA )
               CALL ZGEMV( 'Conjugate transpose', N-I, I-1, ONE,
     $                     A( I+1, 1 ), LDA, A( I+1, I ), 1,
     $                     DCMPLX( AII ), A( I, 1 ), LDA )
               CALL ZLACGV( I-1, A( I, 1 ), LDA )
            ELSE
               CALL ZDSCAL( I, AII, A( I, 1 ), LDA )
            END IF
   20    CONTINUE
      END IF
*
      RETURN
*
*     End of ZLAUU2
*
      END