table of contents
| 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 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 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 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 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 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 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 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 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 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 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 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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Author¶
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| Wed Feb 7 2024 11:30:40 | Version 3.12.0 |