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version 1.1, 2018/05/29 14:54:04 version 1.3, 2023/08/07 08:39:39
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 *  *
 *> \htmlonly  *> \htmlonly
 *> Download ZSYTRF_AA_2STAGE + dependencies  *> Download ZSYTRF_AA_2STAGE + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/csytrf_aa_2stage.f">  *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsytrf_aa_2stage.f">
 *> [TGZ]</a>  *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/csytrf_aa_2stage.f">  *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsytrf_aa_2stage.f">
 *> [ZIP]</a>  *> [ZIP]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/csytrf_aa_2stage.f">  *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsytrf_aa_2stage.f">
 *> [TXT]</a>  *> [TXT]</a>
 *> \endhtmlonly  *> \endhtmlonly
 *  *
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 *> ZSYTRF_AA_2STAGE computes the factorization of a complex symmetric matrix A  *> ZSYTRF_AA_2STAGE computes the factorization of a complex symmetric matrix A
 *> using the Aasen's algorithm.  The form of the factorization is  *> using the Aasen's algorithm.  The form of the factorization is
 *>  *>
 *>    A = U*T*U**T  or  A = L*T*L**T  *>    A = U**T*T*U  or  A = L*T*L**T
 *>  *>
 *> where U (or L) is a product of permutation and unit upper (lower)  *> where U (or L) is a product of permutation and unit upper (lower)
 *> triangular matrices, and T is a complex symmetric band matrix with the  *> triangular matrices, and T is a complex symmetric band matrix with the
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 *>  *>
 *> \param[in] LTB  *> \param[in] LTB
 *> \verbatim  *> \verbatim
   *>          LTB is INTEGER
 *>          The size of the array TB. LTB >= 4*N, internally  *>          The size of the array TB. LTB >= 4*N, internally
 *>          used to select NB such that LTB >= (3*NB+1)*N.  *>          used to select NB such that LTB >= (3*NB+1)*N.
 *>  *>
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 *>  *>
 *> \param[out] IPIV2  *> \param[out] IPIV2
 *> \verbatim  *> \verbatim
 *>          IPIV is INTEGER array, dimension (N)  *>          IPIV2 is INTEGER array, dimension (N)
 *>          On exit, it contains the details of the interchanges, i.e.,  *>          On exit, it contains the details of the interchanges, i.e.,
 *>          the row and column k of T were interchanged with the  *>          the row and column k of T were interchanged with the
 *>          row and column IPIV(k).  *>          row and column IPIV(k).
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 *>  *>
 *> \param[in] LWORK  *> \param[in] LWORK
 *> \verbatim  *> \verbatim
   *>          LWORK is INTEGER
 *>          The size of WORK. LWORK >= N, internally used to select NB  *>          The size of WORK. LWORK >= N, internally used to select NB
 *>          such that LWORK >= N*NB.  *>          such that LWORK >= N*NB.
 *>  *>
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 *> \author Univ. of Colorado Denver  *> \author Univ. of Colorado Denver
 *> \author NAG Ltd.  *> \author NAG Ltd.
 *  *
 *> \date November 2017  
 *  
 *> \ingroup complex16SYcomputational  *> \ingroup complex16SYcomputational
 *  *
 *  =====================================================================  *  =====================================================================
       SUBROUTINE ZSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, LTB, IPIV,        SUBROUTINE ZSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, LTB, IPIV,
      $                             IPIV2, WORK, LWORK, INFO )       $                             IPIV2, WORK, LWORK, INFO )
 *  *
 *  -- LAPACK computational routine (version 3.8.0) --  *  -- LAPACK computational 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 2017  
 *  *
       IMPLICIT NONE        IMPLICIT NONE
 *  *
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       IF( UPPER ) THEN        IF( UPPER ) THEN
 *  *
 *        .....................................................  *        .....................................................
 *        Factorize A as L*D*L**T using the upper triangle of A  *        Factorize A as U**T*D*U using the upper triangle of A
 *        .....................................................  *        .....................................................
 *  *
          DO J = 0, NT-1           DO J = 0, NT-1
Line 446  c               END IF Line 445  c               END IF
 *                    > Apply pivots to previous columns of L  *                    > Apply pivots to previous columns of L
                      CALL ZSWAP( K-1, A( (J+1)*NB+1, I1 ), 1,                        CALL ZSWAP( K-1, A( (J+1)*NB+1, I1 ), 1, 
      $                                A( (J+1)*NB+1, I2 ), 1 )       $                                A( (J+1)*NB+1, I2 ), 1 )
 *                    > Swap A(I1+1:M, I1) with A(I2, I1+1:M)                 *                    > Swap A(I1+1:M, I1) with A(I2, I1+1:M)
                      CALL ZSWAP( I2-I1-1, A( I1, I1+1 ), LDA,                       IF( I2.GT.(I1+1) )
      $                                    A( I1+1, I2 ), 1 )       $                  CALL ZSWAP( I2-I1-1, A( I1, I1+1 ), LDA,
        $                                       A( I1+1, I2 ), 1 )
 *                    > Swap A(I2+1:M, I1) with A(I2+1:M, I2)  *                    > Swap A(I2+1:M, I1) with A(I2+1:M, I2)
                      CALL ZSWAP( N-I2, A( I1, I2+1 ), LDA,                       IF( I2.LT.N )
      $                                 A( I2, I2+1 ), LDA )        $                  CALL ZSWAP( N-I2, A( I1, I2+1 ), LDA,
        $                                    A( I2, I2+1 ), LDA ) 
 *                    > Swap A(I1, I1) with A(I2, I2)  *                    > Swap A(I1, I1) with A(I2, I2)
                      PIV = A( I1, I1 )                       PIV = A( I1, I1 )
                      A( I1, I1 ) = A( I2, I2 )                       A( I1, I1 ) = A( I2, I2 )
Line 635  c               END IF Line 636  c               END IF
                      CALL ZSWAP( K-1, A( I1, (J+1)*NB+1 ), LDA,                        CALL ZSWAP( K-1, A( I1, (J+1)*NB+1 ), LDA, 
      $                                A( I2, (J+1)*NB+1 ), LDA )       $                                A( I2, (J+1)*NB+1 ), LDA )
 *                    > Swap A(I1+1:M, I1) with A(I2, I1+1:M)                 *                    > Swap A(I1+1:M, I1) with A(I2, I1+1:M)               
                      CALL ZSWAP( I2-I1-1, A( I1+1, I1 ), 1,                       IF( I2.GT.(I1+1) )
      $                                    A( I2, I1+1 ), LDA )       $                  CALL ZSWAP( I2-I1-1, A( I1+1, I1 ), 1,
        $                                       A( I2, I1+1 ), LDA )
 *                    > Swap A(I2+1:M, I1) with A(I2+1:M, I2)  *                    > Swap A(I2+1:M, I1) with A(I2+1:M, I2)
                      CALL ZSWAP( N-I2, A( I2+1, I1 ), 1,                       IF( I2.LT.N )
      $                                 A( I2+1, I2 ), 1 )        $                  CALL ZSWAP( N-I2, A( I2+1, I1 ), 1,
        $                                    A( I2+1, I2 ), 1 ) 
 *                    > Swap A(I1, I1) with A(I2, I2)  *                    > Swap A(I1, I1) with A(I2, I2)
                      PIV = A( I1, I1 )                       PIV = A( I1, I1 )
                      A( I1, I1 ) = A( I2, I2 )                       A( I1, I1 ) = A( I2, I2 )
Line 663  c     $                     (J+1)*NB+1, Line 666  c     $                     (J+1)*NB+1,
 *     Factor the band matrix  *     Factor the band matrix
       CALL ZGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )        CALL ZGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
 *  *
         RETURN
   *
 *     End of ZSYTRF_AA_2STAGE  *     End of ZSYTRF_AA_2STAGE
 *  *
       END        END
Removed from v.1.1  
changed lines
  Added in v.1.3

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