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Diff for /rpl/lapack/lapack/zgebd2.f between versions 1.7 and 1.8

version 1.7, 2010/12/21 13:53:42 version 1.8, 2011/07/22 07:38:13
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       SUBROUTINE ZGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO )        SUBROUTINE ZGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO )
 *  *
 *  -- LAPACK routine (version 3.2) --  *  -- LAPACK routine (version 3.3.1) --
 *  -- 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  *  -- April 2011                                                      --
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            INFO, LDA, M, N        INTEGER            INFO, LDA, M, N
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 *  =======  *  =======
 *  *
 *  ZGEBD2 reduces a complex general m by n matrix A to upper or lower  *  ZGEBD2 reduces a complex general m by n matrix A to upper or lower
 *  real bidiagonal form B by a unitary transformation: Q' * A * P = B.  *  real bidiagonal form B by a unitary transformation: Q**H * A * P = B.
 *  *
 *  If m >= n, B is upper bidiagonal; if m < n, B is lower bidiagonal.  *  If m >= n, B is upper bidiagonal; if m < n, B is lower bidiagonal.
 *  *
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 *  *
 *  Each H(i) and G(i) has the form:  *  Each H(i) and G(i) has the form:
 *  *
 *     H(i) = I - tauq * v * v'  and G(i) = I - taup * u * u'  *     H(i) = I - tauq * v * v**H  and G(i) = I - taup * u * u**H
 *  *
 *  where tauq and taup are complex scalars, and v and u are complex  *  where tauq and taup are complex scalars, and v and u are complex
 *  vectors; v(1:i-1) = 0, v(i) = 1, and v(i+1:m) is stored on exit in  *  vectors; v(1:i-1) = 0, v(i) = 1, and v(i+1:m) is stored on exit in
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 *  *
 *  Each H(i) and G(i) has the form:  *  Each H(i) and G(i) has the form:
 *  *
 *     H(i) = I - tauq * v * v'  and G(i) = I - taup * u * u'  *     H(i) = I - tauq * v * v**H  and G(i) = I - taup * u * u**H
 *  *
 *  where tauq and taup are complex scalars, v and u are complex vectors;  *  where tauq and taup are complex scalars, v and u are complex vectors;
 *  v(1:i) = 0, v(i+1) = 1, and v(i+2:m) is stored on exit in A(i+2:m,i);  *  v(1:i) = 0, v(i+1) = 1, and v(i+2:m) is stored on exit in A(i+2:m,i);
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             D( I ) = ALPHA              D( I ) = ALPHA
             A( I, I ) = ONE              A( I, I ) = ONE
 *  *
 *           Apply H(i)' to A(i:m,i+1:n) from the left  *           Apply H(i)**H to A(i:m,i+1:n) from the left
 *  *
             IF( I.LT.N )              IF( I.LT.N )
      $         CALL ZLARF( 'Left', M-I+1, N-I, A( I, I ), 1,       $         CALL ZLARF( 'Left', M-I+1, N-I, A( I, I ), 1,
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                E( I ) = ALPHA                 E( I ) = ALPHA
                A( I+1, I ) = ONE                 A( I+1, I ) = ONE
 *  *
 *              Apply H(i)' to A(i+1:m,i+1:n) from the left  *              Apply H(i)**H to A(i+1:m,i+1:n) from the left
 *  *
                CALL ZLARF( 'Left', M-I, N-I, A( I+1, I ), 1,                 CALL ZLARF( 'Left', M-I, N-I, A( I+1, I ), 1,
      $                     DCONJG( TAUQ( I ) ), A( I+1, I+1 ), LDA,       $                     DCONJG( TAUQ( I ) ), A( I+1, I+1 ), LDA,
Removed from v.1.7  
changed lines
  Added in v.1.8

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