dlassq

Langue: en

Version: 316811 (ubuntu - 07/07/09)

Section: 3 (Bibliothèques de fonctions)

NAME

DLASSQ - return the values scl and smsq such that ( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,

SYNOPSIS

SUBROUTINE DLASSQ(
N, X, INCX, SCALE, SUMSQ )

    
INTEGER INCX, N

    
DOUBLE PRECISION SCALE, SUMSQ

    
DOUBLE PRECISION X( * )

PURPOSE

DLASSQ returns the values scl and smsq such that ( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq, where x( i ) = X( 1 + ( i - 1 )*INCX ). The value of sumsq is assumed to be non-negative and scl returns the value


   scl = max( scale, abs( x( i ) ) ).

scale and sumsq must be supplied in SCALE and SUMSQ and
scl and smsq are overwritten on SCALE and SUMSQ respectively.

The routine makes only one pass through the vector x.

ARGUMENTS

N (input) INTEGER
The number of elements to be used from the vector X.
X (input) DOUBLE PRECISION array, dimension (N)
The vector for which a scaled sum of squares is computed. x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n.
INCX (input) INTEGER
The increment between successive values of the vector X. INCX > 0.
SCALE (input/output) DOUBLE PRECISION
On entry, the value scale in the equation above. On exit, SCALE is overwritten with scl , the scaling factor for the sum of squares.
SUMSQ (input/output) DOUBLE PRECISION
On entry, the value sumsq in the equation above. On exit, SUMSQ is overwritten with smsq , the basic sum of squares from which scl has been factored out.