heswapr(3)

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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