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version 1.6, 2010/08/13 21:04:12 version 1.19, 2023/08/07 08:39:33
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   *> \brief \b ZLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at
   *            http://www.netlib.org/lapack/explore-html/
   *
   *> \htmlonly
   *> Download ZLAUU2 + dependencies
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlauu2.f">
   *> [TGZ]</a>
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlauu2.f">
   *> [ZIP]</a>
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlauu2.f">
   *> [TXT]</a>
   *> \endhtmlonly
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZLAUU2( UPLO, N, A, LDA, INFO )
   *
   *       .. Scalar Arguments ..
   *       CHARACTER          UPLO
   *       INTEGER            INFO, LDA, N
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16         A( LDA, * )
   *       ..
   *
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> 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.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          Specifies whether the triangular factor stored in the array A
   *>          is upper or lower triangular:
   *>          = 'U':  Upper triangular
   *>          = 'L':  Lower triangular
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the triangular factor U or L.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in,out] A
   *> \verbatim
   *>          A is 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.
   *> \endverbatim
   *>
   *> \param[in] LDA
   *> \verbatim
   *>          LDA is INTEGER
   *>          The leading dimension of the array A.  LDA >= max(1,N).
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0: successful exit
   *>          < 0: if INFO = -k, the k-th argument had an illegal value
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee
   *> \author Univ. of California Berkeley
   *> \author Univ. of Colorado Denver
   *> \author NAG Ltd.
   *
   *> \ingroup complex16OTHERauxiliary
   *
   *  =====================================================================
       SUBROUTINE ZLAUU2( UPLO, N, A, LDA, INFO )        SUBROUTINE ZLAUU2( UPLO, N, A, LDA, INFO )
 *  *
 *  -- LAPACK auxiliary routine (version 3.2) --  *  -- LAPACK auxiliary routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --  *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--  *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 *     November 2006  
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          UPLO        CHARACTER          UPLO
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       COMPLEX*16         A( LDA, * )        COMPLEX*16         A( LDA, * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZLAUU2 computes the product U * U' or L' * 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';  
 *          if UPLO = 'L', the lower triangle of A is overwritten with  
 *          the lower triangle of the product L' * 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 ..  *     .. Parameters ..
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 *  *
       IF( UPPER ) THEN        IF( UPPER ) THEN
 *  *
 *        Compute the product U * U'.  *        Compute the product U * U**H.
 *  *
          DO 10 I = 1, N           DO 10 I = 1, N
             AII = A( I, I )              AII = DBLE( A( I, I ) )
             IF( I.LT.N ) THEN              IF( I.LT.N ) THEN
                A( I, I ) = AII*AII + DBLE( ZDOTC( N-I, A( I, I+1 ), LDA,                 A( I, I ) = AII*AII + DBLE( ZDOTC( N-I, A( I, I+1 ), LDA,
      $                     A( I, I+1 ), LDA ) )       $                     A( I, I+1 ), LDA ) )
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 *  *
       ELSE        ELSE
 *  *
 *        Compute the product L' * L.  *        Compute the product L**H * L.
 *  *
          DO 20 I = 1, N           DO 20 I = 1, N
             AII = A( I, I )              AII = DBLE( A( I, I ) )
             IF( I.LT.N ) THEN              IF( I.LT.N ) THEN
                A( I, I ) = AII*AII + DBLE( ZDOTC( N-I, A( I+1, I ), 1,                 A( I, I ) = AII*AII + DBLE( ZDOTC( N-I, A( I+1, I ), 1,
      $                     A( I+1, I ), 1 ) )       $                     A( I+1, I ), 1 ) )
Removed from v.1.6  
changed lines
  Added in v.1.19

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