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

              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

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