slauu2.f.html

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<pre>
      SUBROUTINE <a name="SLAUU2.1"></a><a href="slauu2.f.html#SLAUU2.1">SLAUU2</a>( UPLO, N, A, LDA, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK auxiliary routine (version 3.1) --
</span><span class="comment">*</span><span class="comment">     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment">     November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Scalar Arguments ..
</span>      CHARACTER          UPLO
      INTEGER            INFO, LDA, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      REAL               A( LDA, * )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Purpose
</span><span class="comment">*</span><span class="comment">  =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  <a name="SLAUU2.18"></a><a href="slauu2.f.html#SLAUU2.1">SLAUU2</a> computes the product U * U' or L' * L, where the triangular
</span><span class="comment">*</span><span class="comment">  factor U or L is stored in the upper or lower triangular part of
</span><span class="comment">*</span><span class="comment">  the array A.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
</span><span class="comment">*</span><span class="comment">  overwriting the factor U in A.
</span><span class="comment">*</span><span class="comment">  If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
</span><span class="comment">*</span><span class="comment">  overwriting the factor L in A.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  This is the unblocked form of the algorithm, calling Level 2 BLAS.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Arguments
</span><span class="comment">*</span><span class="comment">  =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  UPLO    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          Specifies whether the triangular factor stored in the array A
</span><span class="comment">*</span><span class="comment">          is upper or lower triangular:
</span><span class="comment">*</span><span class="comment">          = 'U':  Upper triangular
</span><span class="comment">*</span><span class="comment">          = 'L':  Lower triangular
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  N       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The order of the triangular factor U or L.  N &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  A       (input/output) REAL array, dimension (LDA,N)
</span><span class="comment">*</span><span class="comment">          On entry, the triangular factor U or L.
</span><span class="comment">*</span><span class="comment">          On exit, if UPLO = 'U', the upper triangle of A is
</span><span class="comment">*</span><span class="comment">          overwritten with the upper triangle of the product U * U';
</span><span class="comment">*</span><span class="comment">          if UPLO = 'L', the lower triangle of A is overwritten with
</span><span class="comment">*</span><span class="comment">          the lower triangle of the product L' * L.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDA     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array A.  LDA &gt;= max(1,N).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INFO    (output) INTEGER
</span><span class="comment">*</span><span class="comment">          = 0: successful exit
</span><span class="comment">*</span><span class="comment">          &lt; 0: if INFO = -k, the k-th argument had an illegal value
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Parameters ..
</span>      REAL               ONE
      PARAMETER          ( ONE = 1.0E+0 )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      LOGICAL            UPPER
      INTEGER            I
      REAL               AII
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Functions ..
</span>      LOGICAL            <a name="LSAME.67"></a><a href="lsame.f.html#LSAME.1">LSAME</a>
      REAL               SDOT
      EXTERNAL           <a name="LSAME.69"></a><a href="lsame.f.html#LSAME.1">LSAME</a>, SDOT
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Subroutines ..
</span>      EXTERNAL           SGEMV, SSCAL, <a name="XERBLA.72"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
</span>      INTRINSIC          MAX
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Executable Statements ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Test the input parameters.
</span><span class="comment">*</span><span class="comment">
</span>      INFO = 0
      UPPER = <a name="LSAME.82"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'U'</span> )
      IF( .NOT.UPPER .AND. .NOT.<a name="LSAME.83"></a><a href="lsame.f.html#LSAME.1">LSAME</a>( UPLO, <span class="string">'L'</span> ) ) 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 <a name="XERBLA.91"></a><a href="xerbla.f.html#XERBLA.1">XERBLA</a>( <span class="string">'<a name="SLAUU2.91"></a><a href="slauu2.f.html#SLAUU2.1">SLAUU2</a>'</span>, -INFO )
         RETURN
      END IF
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Quick return if possible
</span><span class="comment">*</span><span class="comment">
</span>      IF( N.EQ.0 )
     $   RETURN
<span class="comment">*</span><span class="comment">
</span>      IF( UPPER ) THEN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Compute the product U * U'.
</span><span class="comment">*</span><span class="comment">
</span>         DO 10 I = 1, N
            AII = A( I, I )
            IF( I.LT.N ) THEN
               A( I, I ) = SDOT( N-I+1, A( I, I ), LDA, A( I, I ), LDA )
               CALL SGEMV( <span class="string">'No transpose'</span>, I-1, N-I, ONE, A( 1, I+1 ),
     $                     LDA, A( I, I+1 ), LDA, AII, A( 1, I ), 1 )
            ELSE
               CALL SSCAL( I, AII, A( 1, I ), 1 )
            END IF
   10    CONTINUE
<span class="comment">*</span><span class="comment">
</span>      ELSE
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Compute the product L' * L.
</span><span class="comment">*</span><span class="comment">
</span>         DO 20 I = 1, N
            AII = A( I, I )
            IF( I.LT.N ) THEN
               A( I, I ) = SDOT( N-I+1, A( I, I ), 1, A( I, I ), 1 )
               CALL SGEMV( <span class="string">'Transpose'</span>, N-I, I-1, ONE, A( I+1, 1 ), LDA,
     $                     A( I+1, I ), 1, AII, A( I, 1 ), LDA )
            ELSE
               CALL SSCAL( I, AII, A( I, 1 ), LDA )
            END IF
   20    CONTINUE
      END IF
<span class="comment">*</span><span class="comment">
</span>      RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     End of <a name="SLAUU2.133"></a><a href="slauu2.f.html#SLAUU2.1">SLAUU2</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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