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heswapr(3) LAPACK 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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