.TH "laset" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
laset \- laset: set matrix
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "subroutine \fBclaset\fP (uplo, m, n, alpha, beta, a, lda)"
.br
.RI "\fBCLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&. "
.ti -1c
.RI "subroutine \fBdlaset\fP (uplo, m, n, alpha, beta, a, lda)"
.br
.RI "\fBDLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&. "
.ti -1c
.RI "subroutine \fBslaset\fP (uplo, m, n, alpha, beta, a, lda)"
.br
.RI "\fBSLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&. "
.ti -1c
.RI "subroutine \fBzlaset\fP (uplo, m, n, alpha, beta, a, lda)"
.br
.RI "\fBZLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&. "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "subroutine claset (character uplo, integer m, integer n, complex alpha, complex beta, complex, dimension( lda, * ) a, integer lda)"

.PP
\fBCLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CLASET initializes a 2-D array A to BETA on the diagonal and
 ALPHA on the offdiagonals\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          On entry, M specifies the number of rows of A\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          On entry, N specifies the number of columns of A\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is COMPLEX
          All the offdiagonal array elements are set to ALPHA\&.
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is COMPLEX
          All the diagonal array elements are set to BETA\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          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)
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,M)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SS "subroutine dlaset (character uplo, integer m, integer n, double precision alpha, double precision beta, double precision, dimension( lda, * ) a, integer lda)"

.PP
\fBDLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 DLASET initializes an m-by-n matrix A to BETA on the diagonal and
 ALPHA on the offdiagonals\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of columns of the matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is DOUBLE PRECISION
          The constant to which the offdiagonal elements are to be set\&.
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is DOUBLE PRECISION
          The constant to which the diagonal elements are to be set\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          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)\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,M)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SS "subroutine slaset (character uplo, integer m, integer n, real alpha, real beta, real, dimension( lda, * ) a, integer lda)"

.PP
\fBSLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 SLASET initializes an m-by-n matrix A to BETA on the diagonal and
 ALPHA on the offdiagonals\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          The number of rows of the matrix A\&.  M >= 0\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          The number of columns of the matrix A\&.  N >= 0\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is REAL
          The constant to which the offdiagonal elements are to be set\&.
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is REAL
          The constant to which the diagonal elements are to be set\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          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)\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,M)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SS "subroutine zlaset (character uplo, integer m, integer n, complex*16 alpha, complex*16 beta, complex*16, dimension( lda, * ) a, integer lda)"

.PP
\fBZLASET\fP initializes the off-diagonal elements and the diagonal elements of a matrix to given values\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 ZLASET initializes a 2-D array A to BETA on the diagonal and
 ALPHA on the offdiagonals\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          On entry, M specifies the number of rows of A\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          On entry, N specifies the number of columns of A\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is COMPLEX*16
          All the offdiagonal array elements are set to ALPHA\&.
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is COMPLEX*16
          All the diagonal array elements are set to BETA\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          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)
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,M)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.SH "Author"
.PP 
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