laset - Man Page

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

          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 Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 105 of file claset.f.

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

          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 Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 109 of file dlaset.f.

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

          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 Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 109 of file slaset.f.

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

          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 Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 105 of file zlaset.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Info

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK