table of contents
| laset(3) | LAPACK | laset(3) |
NAME¶
laset - laset: set matrix
SYNOPSIS¶
Functions¶
subroutine claset (uplo, m, n, alpha, beta, a, lda)
CLASET initializes the off-diagonal elements and the diagonal elements
of a matrix to given values. subroutine dlaset (uplo, m, n, alpha,
beta, a, lda)
DLASET initializes the off-diagonal elements and the diagonal elements
of a matrix to given values. subroutine slaset (uplo, m, n, alpha,
beta, a, lda)
SLASET initializes the off-diagonal elements and the diagonal elements
of a matrix to given values. subroutine zlaset (uplo, m, n, alpha,
beta, a, lda)
ZLASET initializes the off-diagonal elements and the diagonal elements
of a matrix to given values.
Detailed Description¶
Function Documentation¶
subroutine claset (character uplo, integer m, integer n, complex alpha, complex beta, complex, dimension( lda, * ) a, integer lda)¶
CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Purpose:
CLASET initializes a 2-D array A to BETA on the diagonal and
ALPHA on the offdiagonals.
Parameters
UPLO is CHARACTER*1
Specifies the part of the matrix A to be set.
= 'U': Upper triangular part is set. The lower triangle
is unchanged.
= 'L': Lower triangular part is set. The upper triangle
is unchanged.
Otherwise: All of the matrix A is set.
M
M is INTEGER
On entry, M specifies the number of rows of A.
N
N is INTEGER
On entry, N specifies the number of columns of A.
ALPHA
ALPHA is COMPLEX
All the offdiagonal array elements are set to ALPHA.
BETA
BETA is COMPLEX
All the diagonal array elements are set to BETA.
A
A is COMPLEX array, dimension (LDA,N)
On entry, the m by n matrix A.
On exit, A(i,j) = ALPHA, 1 <= i <= m, 1 <= j <= n, i.ne.j;
A(i,i) = BETA , 1 <= i <= min(m,n)
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
subroutine dlaset (character uplo, integer m, integer n, double precision alpha, double precision beta, double precision, dimension( lda, * ) a, integer lda)¶
DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Purpose:
DLASET initializes an m-by-n matrix A to BETA on the diagonal and
ALPHA on the offdiagonals.
Parameters
UPLO is CHARACTER*1
Specifies the part of the matrix A to be set.
= 'U': Upper triangular part is set; the strictly lower
triangular part of A is not changed.
= 'L': Lower triangular part is set; the strictly upper
triangular part of A is not changed.
Otherwise: All of the matrix A is set.
M
M is INTEGER
The number of rows of the matrix A. M >= 0.
N
N is INTEGER
The number of columns of the matrix A. N >= 0.
ALPHA
ALPHA is DOUBLE PRECISION
The constant to which the offdiagonal elements are to be set.
BETA
BETA is DOUBLE PRECISION
The constant to which the diagonal elements are to be set.
A
A is DOUBLE PRECISION array, dimension (LDA,N)
On exit, the leading m-by-n submatrix of A is set as follows:
if UPLO = 'U', A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n,
if UPLO = 'L', A(i,j) = ALPHA, j+1<=i<=m, 1<=j<=n,
otherwise, A(i,j) = ALPHA, 1<=i<=m, 1<=j<=n, i.ne.j,
and, for all UPLO, A(i,i) = BETA, 1<=i<=min(m,n).
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
subroutine slaset (character uplo, integer m, integer n, real alpha, real beta, real, dimension( lda, * ) a, integer lda)¶
SLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Purpose:
SLASET initializes an m-by-n matrix A to BETA on the diagonal and
ALPHA on the offdiagonals.
Parameters
UPLO is CHARACTER*1
Specifies the part of the matrix A to be set.
= 'U': Upper triangular part is set; the strictly lower
triangular part of A is not changed.
= 'L': Lower triangular part is set; the strictly upper
triangular part of A is not changed.
Otherwise: All of the matrix A is set.
M
M is INTEGER
The number of rows of the matrix A. M >= 0.
N
N is INTEGER
The number of columns of the matrix A. N >= 0.
ALPHA
ALPHA is REAL
The constant to which the offdiagonal elements are to be set.
BETA
BETA is REAL
The constant to which the diagonal elements are to be set.
A
A is REAL array, dimension (LDA,N)
On exit, the leading m-by-n submatrix of A is set as follows:
if UPLO = 'U', A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n,
if UPLO = 'L', A(i,j) = ALPHA, j+1<=i<=m, 1<=j<=n,
otherwise, A(i,j) = ALPHA, 1<=i<=m, 1<=j<=n, i.ne.j,
and, for all UPLO, A(i,i) = BETA, 1<=i<=min(m,n).
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
subroutine zlaset (character uplo, integer m, integer n, complex*16 alpha, complex*16 beta, complex*16, dimension( lda, * ) a, integer lda)¶
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Purpose:
ZLASET initializes a 2-D array A to BETA on the diagonal and
ALPHA on the offdiagonals.
Parameters
UPLO is CHARACTER*1
Specifies the part of the matrix A to be set.
= 'U': Upper triangular part is set. The lower triangle
is unchanged.
= 'L': Lower triangular part is set. The upper triangle
is unchanged.
Otherwise: All of the matrix A is set.
M
M is INTEGER
On entry, M specifies the number of rows of A.
N
N is INTEGER
On entry, N specifies the number of columns of A.
ALPHA
ALPHA is COMPLEX*16
All the offdiagonal array elements are set to ALPHA.
BETA
BETA is COMPLEX*16
All the diagonal array elements are set to BETA.
A
A is COMPLEX*16 array, dimension (LDA,N)
On entry, the m by n matrix A.
On exit, A(i,j) = ALPHA, 1 <= i <= m, 1 <= j <= n, i.ne.j;
A(i,i) = BETA , 1 <= i <= min(m,n)
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,M).
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Author¶
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