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heswapr(3) Library Functions Manual 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.

Definition at line 101 of file cheswapr.f.

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.

Definition at line 99 of file csyswapr.f.

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.

Definition at line 99 of file dsyswapr.f.

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.

Definition at line 99 of file ssyswapr.f.

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.

Definition at line 101 of file zheswapr.f.

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.

Definition at line 99 of file zsyswapr.f.

Author

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