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version 1.2, 2010/12/21 13:53:56 version 1.13, 2023/08/07 08:39:38
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       SUBROUTINE ZSYSWAPR( UPLO, N, A, I1, I2)  *> \brief \b ZSYSWAPR
 *  *
 *  -- LAPACK auxiliary routine (version 3.3.0) --  *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at
   *            http://www.netlib.org/lapack/explore-html/
   *
   *> \htmlonly
   *> Download ZSYSWAPR + dependencies
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsyswapr.f">
   *> [TGZ]</a>
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsyswapr.f">
   *> [ZIP]</a>
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsyswapr.f">
   *> [TXT]</a>
   *> \endhtmlonly
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2)
   *
   *       .. Scalar Arguments ..
   *       CHARACTER        UPLO
   *       INTEGER          I1, I2, LDA, N
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16       A( LDA, N )
   *
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZSYSWAPR applies an elementary permutation on the rows and the columns of
   *> a symmetric matrix.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          Specifies whether the details of the factorization are stored
   *>          as an upper or lower triangular matrix.
   *>          = 'U':  Upper triangular, form is A = U*D*U**T;
   *>          = 'L':  Lower triangular, form is A = L*D*L**T.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the matrix A.  N >= 0.
   *> \endverbatim
   *>
   *> \param[in,out] A
   *> \verbatim
   *>          A is COMPLEX*16 array, dimension (LDA,*)
   *>          On entry, the N-by-N matrix A. On exit, the permuted matrix
   *>          where the rows I1 and I2 and columns I1 and I2 are interchanged.
   *>          If UPLO = 'U', the interchanges are applied to the upper
   *>          triangular part and the strictly lower triangular part of A is
   *>          not referenced; if UPLO = 'L', the interchanges are applied to
   *>          the lower triangular part and the part of A above the diagonal
   *>          is not referenced.
   *> \endverbatim
   *>
   *> \param[in] LDA
   *> \verbatim
   *>          LDA is INTEGER
   *>          The leading dimension of the array A.  LDA >= max(1,N).
   *> \endverbatim
   *>
   *> \param[in] I1
   *> \verbatim
   *>          I1 is INTEGER
   *>          Index of the first row to swap
   *> \endverbatim
   *>
   *> \param[in] I2
   *> \verbatim
   *>          I2 is INTEGER
   *>          Index of the second row to swap
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee
   *> \author Univ. of California Berkeley
   *> \author Univ. of Colorado Denver
   *> \author NAG Ltd.
   *
   *> \ingroup complex16SYauxiliary
   *
   *  =====================================================================
         SUBROUTINE ZSYSWAPR( UPLO, N, A, LDA, I1, I2)
   *
   *  -- 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 2010  
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER        UPLO        CHARACTER        UPLO
       INTEGER          I1, I2, N        INTEGER          I1, I2, LDA, N
 *     ..  *     ..
 *     .. Array Arguments ..  *     .. Array Arguments ..
       DOUBLE COMPLEX   A(N,N)        COMPLEX*16       A( LDA, * )
 *  
 *  Purpose  
 *  =======  
 *  
 *  ZSYSWAPR applies an elementary permutation on the rows and the columns of  
 *  a symmetric matrix.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  UPLO    (input) CHARACTER*1  
 *          Specifies whether the details of the factorization are stored  
 *          as an upper or lower triangular matrix.  
 *          = 'U':  Upper triangular, form is A = U*D*U**T;  
 *          = 'L':  Lower triangular, form is A = L*D*L**T.  
 *  
 *  N       (input) INTEGER  
 *          The order of the matrix A.  N >= 0.  
 *  
 *  A       (input/output) DOUBLE COMPLEX array, dimension (LDA,N)  
 *          On entry, the NB diagonal matrix D and the multipliers  
 *          used to obtain the factor U or L as computed by ZSYTRF.  
 *  
 *          On exit, if INFO = 0, the (symmetric) inverse of the original  
 *          matrix.  If UPLO = 'U', the upper triangular part of the  
 *          inverse is formed and the part of A below the diagonal is not  
 *          referenced; if UPLO = 'L' the lower triangular part of the  
 *          inverse is formed and the part of A above the diagonal is  
 *          not referenced.  
 *  
 *  I1      (input) INTEGER  
 *          Index of the first row to swap  
 *  
 *  I2      (input) INTEGER  
 *          Index of the second row to swap  
 *  *
 *  =====================================================================  *  =====================================================================
 *  *
 *     ..  *     ..
 *     .. Local Scalars ..  *     .. Local Scalars ..
       LOGICAL            UPPER        LOGICAL            UPPER
       INTEGER            I        COMPLEX*16         TMP
       DOUBLE COMPLEX     TMP  
 *  *
 *     .. External Functions ..  *     .. External Functions ..
       LOGICAL            LSAME        LOGICAL            LSAME
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 *  *
 *         UPPER  *         UPPER
 *         first swap  *         first swap
 *          - swap column I1 and I2 from I1 to I1-1   *          - swap column I1 and I2 from I1 to I1-1
          CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 )           CALL ZSWAP( I1-1, A(1,I1), 1, A(1,I2), 1 )
 *  *
 *          second swap :  *          second swap :
 *          - swap A(I1,I1) and A(I2,I2)  *          - swap A(I1,I1) and A(I2,I2)
 *          - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1       *          - swap row I1 from I1+1 to I2-1 with col I2 from I1+1 to I2-1
          TMP=A(I1,I1)           TMP=A(I1,I1)
          A(I1,I1)=A(I2,I2)           A(I1,I1)=A(I2,I2)
          A(I2,I2)=TMP           A(I2,I2)=TMP
 *  *
          DO I=1,I2-I1-1           CALL ZSWAP( I2-I1-1, A(I1,I1+1), LDA, A(I1+1,I2), 1 )
             TMP=A(I1,I1+I)  
             A(I1,I1+I)=A(I1+I,I2)  
             A(I1+I,I2)=TMP  
          END DO  
 *  *
 *          third swap  *          third swap
 *          - swap row I1 and I2 from I2+1 to N  *          - swap row I1 and I2 from I2+1 to N
          DO I=I2+1,N           IF ( I2.LT.N )
             TMP=A(I1,I)       $      CALL ZSWAP( N-I2, A(I1,I2+1), LDA, A(I2,I2+1), LDA )
             A(I1,I)=A(I2,I)  
             A(I2,I)=TMP  
          END DO  
 *  *
         ELSE          ELSE
 *  *
 *         LOWER  *         LOWER
 *         first swap  *         first swap
 *          - swap row I1 and I2 from I1 to I1-1   *          - swap row I1 and I2 from I1 to I1-1
          CALL ZSWAP( I1-1, A(I1,1), N, A(I2,1), N )           CALL ZSWAP( I1-1, A(I1,1), LDA, A(I2,1), LDA )
 *  *
 *         second swap :  *         second swap :
 *          - swap A(I1,I1) and A(I2,I2)  *          - swap A(I1,I1) and A(I2,I2)
 *          - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1       *          - swap col I1 from I1+1 to I2-1 with row I2 from I1+1 to I2-1
           TMP=A(I1,I1)            TMP=A(I1,I1)
           A(I1,I1)=A(I2,I2)            A(I1,I1)=A(I2,I2)
           A(I2,I2)=TMP            A(I2,I2)=TMP
 *  *
           DO I=1,I2-I1-1            CALL ZSWAP( I2-I1-1, A(I1+1,I1), 1, A(I2,I1+1), LDA )
              TMP=A(I1+I,I1)  
              A(I1+I,I1)=A(I2,I1+I)  
              A(I2,I1+I)=TMP  
           END DO  
 *  *
 *         third swap  *         third swap
 *          - swap col I1 and I2 from I2+1 to N  *          - swap col I1 and I2 from I2+1 to N
           DO I=I2+1,N           IF ( I2.LT.N )
              TMP=A(I,I1)       $      CALL ZSWAP( N-I2, A(I2+1,I1), 1, A(I2+1,I2), 1 )
              A(I,I1)=A(I,I2)  
              A(I,I2)=TMP  
           END DO  
 *  *
       ENDIF        ENDIF
       END SUBROUTINE ZSYSWAPR        END SUBROUTINE ZSYSWAPR
Removed from v.1.2  
changed lines
  Added in v.1.13

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