Provided by: liblapack-doc_3.12.0-3build1.1_all bug

NAME

       heswapr - {he,sy}swapr: apply 2-sided permutation

SYNOPSIS

   Functions
       subroutine cheswapr (uplo, n, a, lda, i1, i2)
           CHESWAPR applies an elementary permutation on the rows and columns of a Hermitian
           matrix.
       subroutine csyswapr (uplo, n, a, lda, i1, i2)
           CSYSWAPR
       subroutine dsyswapr (uplo, n, a, lda, i1, i2)
           DSYSWAPR applies an elementary permutation on the rows and columns of a symmetric
           matrix.
       subroutine ssyswapr (uplo, n, a, lda, i1, i2)
           SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric
           matrix.
       subroutine zheswapr (uplo, n, a, lda, i1, i2)
           ZHESWAPR applies an elementary permutation on the rows and columns of a Hermitian
           matrix.
       subroutine zsyswapr (uplo, n, a, lda, i1, i2)
           ZSYSWAPR

Detailed Description

Function Documentation

   subroutine cheswapr (character uplo, integer n, complex, dimension( lda, n ) a, integer lda,
       integer i1, integer i2)
       CHESWAPR applies an elementary permutation on the rows and columns of a Hermitian matrix.

       Purpose:

            CHESWAPR applies an elementary permutation on the rows and the columns of
            a hermitian matrix.

       Parameters
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is 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 CSYTRF.

                     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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           I1

                     I1 is INTEGER
                     Index of the first row to swap

           I2

                     I2 is INTEGER
                     Index of the second row to swap

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine csyswapr (character uplo, integer n, complex, dimension( lda, n ) a, integer lda,
       integer i1, integer i2)
       CSYSWAPR

       Purpose:

            CSYSWAPR applies an elementary permutation on the rows and the columns of
            a symmetric matrix.

       Parameters
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is COMPLEX array, dimension (LDA,N)
                     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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           I1

                     I1 is INTEGER
                     Index of the first row to swap

           I2

                     I2 is INTEGER
                     Index of the second row to swap

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine dsyswapr (character uplo, integer n, double precision, dimension( lda, * ) a,
       integer lda, integer i1, integer i2)
       DSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix.

       Purpose:

            DSYSWAPR applies an elementary permutation on the rows and the columns of
            a symmetric matrix.

       Parameters
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is DOUBLE PRECISION 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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           I1

                     I1 is INTEGER
                     Index of the first row to swap

           I2

                     I2 is INTEGER
                     Index of the second row to swap

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine ssyswapr (character uplo, integer n, real, dimension( lda, * ) a, integer lda,
       integer i1, integer i2)
       SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix.

       Purpose:

            SSYSWAPR applies an elementary permutation on the rows and the columns of
            a symmetric matrix.

       Parameters
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is REAL 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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           I1

                     I1 is INTEGER
                     Index of the first row to swap

           I2

                     I2 is INTEGER
                     Index of the second row to swap

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine zheswapr (character uplo, integer n, complex*16, dimension( lda, n ) a, integer
       lda, integer i1, integer i2)
       ZHESWAPR applies an elementary permutation on the rows and columns of a Hermitian matrix.

       Purpose:

            ZHESWAPR applies an elementary permutation on the rows and the columns of
            a hermitian matrix.

       Parameters
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is COMPLEX*16 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 CSYTRF.

                     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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           I1

                     I1 is INTEGER
                     Index of the first row to swap

           I2

                     I2 is INTEGER
                     Index of the second row to swap

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine zsyswapr (character uplo, integer n, complex*16, dimension( lda, * ) a, integer
       lda, integer i1, integer i2)
       ZSYSWAPR

       Purpose:

            ZSYSWAPR applies an elementary permutation on the rows and the columns of
            a symmetric matrix.

       Parameters
           UPLO

                     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.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     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.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           I1

                     I1 is INTEGER
                     Index of the first row to swap

           I2

                     I2 is INTEGER
                     Index of the second row to swap

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

Author

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