slaset (l) - Linux Manuals

slaset: initializes an m-by-n matrix A to BETA on the diagonal and ALPHA on the offdiagonals

NAME

SLASET - initializes an m-by-n matrix A to BETA on the diagonal and ALPHA on the offdiagonals

SYNOPSIS

SUBROUTINE SLASET(
UPLO, M, N, ALPHA, BETA, A, LDA )

    
CHARACTER UPLO

    
INTEGER LDA, M, N

    
REAL ALPHA, BETA

    
REAL A( LDA, * )

PURPOSE

SLASET initializes an m-by-n matrix A to BETA on the diagonal and ALPHA on the offdiagonals.

ARGUMENTS

UPLO (input) CHARACTER*1
Specifies the part of the matrix A to be set. = aqUaq: Upper triangular part is set; the strictly lower triangular part of A is not changed. = aqLaq: Lower triangular part is set; the strictly upper triangular part of A is not changed. Otherwise: All of the matrix A is set.
M (input) INTEGER
The number of rows of the matrix A. M >= 0.
N (input) INTEGER
The number of columns of the matrix A. N >= 0.
ALPHA (input) REAL
The constant to which the offdiagonal elements are to be set.
BETA (input) REAL
The constant to which the diagonal elements are to be set.
A (input/output) REAL array, dimension (LDA,N)
On exit, the leading m-by-n submatrix of A is set as follows: if UPLO = aqUaq, A(i,j) = ALPHA, 1<=i<=j-1, 1<=j<=n, if UPLO = aqLaq, 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 (input) INTEGER
The leading dimension of the array A. LDA >= max(1,M).

Pages related to slaset

  • slaset (3)
  • slas2 (l) - computes the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]
  • slascl (l) - multiplies the M by N real matrix A by the real scalar CTO/CFROM
  • slascl2 (l) - performs a diagonal scaling on a vector
  • slasd0 (l) - a divide and conquer approach, SLASD0 computes the singular value decomposition (SVD) of a real upper bidiagonal N-by-M matrix B with diagonal D and offdiagonal E, where M = N + SQRE
  • slasd1 (l) - computes the SVD of an upper bidiagonal N-by-M matrix B,
  • slasd2 (l) - merges the two sets of singular values together into a single sorted set
  • slasd3 (l) - finds all the square roots of the roots of the secular equation, as defined by the values in D and Z
  • slasd4 (l) - subroutine compute the square root of the I-th updated eigenvalue of a positive symmetric rank-one modification to a positive diagonal matrix whose entries are given as the squares of the corresponding entries in the array d, and that 0 <= D(i) < D(j) for i < j and that RHO > 0
  • slasd5 (l) - subroutine compute the square root of the I-th eigenvalue of a positive symmetric rank-one modification of a 2-by-2 diagonal matrix diag( D ) * diag( D ) + RHO The diagonal entries in the array D are assumed to satisfy 0 <= D(i) < D(j) for i < j