dspr.f man page

dspr.f —

Synopsis

Functions/Subroutines

subroutine dspr (UPLO, N, ALPHA, X, INCX, AP)
DSPR

Function/Subroutine Documentation

subroutine dspr (characterUPLO, integerN, double precisionALPHA, double precision, dimension(*)X, integerINCX, double precision, dimension(*)AP)

DSPR Purpose:

DSPR    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.

Parameters:

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 DOUBLE PRECISION.
 On entry, ALPHA specifies the scalar alpha.

X

X is DOUBLE PRECISION array of 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 DOUBLE PRECISION array of 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.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

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.

Definition at line 128 of file dspr.f.

Author

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Referenced By

dspr(3) is an alias of dspr.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK