C Library Functions - sspr (3)
NAME
sspr(3f) - [BLAS:SINGLE_BLAS_LEVEL2] A:=A+alpha*SX*TRANSPOSE(SX), A a packed symmetric matrix.
CONTENTS
Synopsis
Definition
Options
Ap
Authors
Further Details
See Also
SYNOPSIS
subroutine sspr(uplo,n,alpha,x,incx,ap)
.. Scalar Arguments .. real,intent(in) :: alpha integer,intent(in) :: incx,n character,intent(in) :: uplo .. .. Array Arguments .. real,intent(in) :: x(*) real,intent(inout) :: ap(*) ..
DEFINITION
SSPR performs the symmetric rank 1 operation
A := alpha*x*x**T + A,where alpha is a real scalar, x is an n element vector and A is an n by n symmetric matrix, supplied in packed form.
OPTIONS
UPLO
UPLO is CHARACTER*1 On entry, UPLO specifies whether the upper or lower triangular part of the matrix A is supplied in the packed array AP as follows:
UPLO = ’U’ or ’u’ The upper triangular part of A is supplied in AP.UPLO = ’L’ or ’l’ The lower triangular part of A is supplied in AP.
N
N is INTEGER On entry, N specifies the order of the matrix A. N must be at least zero.
ALPHA
ALPHA is REAL On entry, ALPHA specifies the scalar alpha.
X
X is REAL array, dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x.
INCX
INCX is INTEGER On entry, INCX specifies the increment for the elements of X. INCX must not be zero.
AP
AP is REAL array, dimension at least ( ( n*( n + 1 ) )/2 ). Before entry with UPLO = ’U’ or ’u’, the array AP must contain the upper triangular part of the symmetric matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively, and so on. On exit, the array AP is overwritten by the upper triangular part of the updated matrix. Before entry with UPLO = ’L’ or ’l’, the array AP must contain the lower triangular part of the symmetric matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on. On exit, the array AP is overwritten by the lower triangular part of the updated matrix.
AUTHORS
o Univ. of Tennessee o Univ. of California Berkeley o Univ. of Colorado Denver o NAG Ltd. date:December 2016
FURTHER DETAILS
Level 2 Blas routine.
-- Written on 22-October-1986. Jack Dongarra, Argonne National Lab. Jeremy Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard Hanson, Sandia National Labs.
SEE ALSO
Online html documentation available at http://www.netlib.org/lapack/explore-html/
| Nemo Release 3.1 | sspr (3) | February 23, 2025 |
