.TH SLASSQ 1 "November 2006" " LAPACK auxiliary routine (version 3.1) " " LAPACK auxiliary routine (version 3.1) "
.SH NAME
SLASSQ - the values scl and smsq such that ( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
.SH SYNOPSIS
.TP 19
SUBROUTINE SLASSQ(
N, X, INCX, SCALE, SUMSQ )
.TP 19
.ti +4
INTEGER
INCX, N
.TP 19
.ti +4
REAL
SCALE, SUMSQ
.TP 19
.ti +4
REAL
X( * )
.SH PURPOSE
SLASSQ returns the values scl and smsq such that
where x( i ) = X( 1 + ( i - 1 )*INCX ). The value of sumsq is
assumed to be non-negative and scl returns the value
.br
scl = max( scale, abs( x( i ) ) ).
.br
scale and sumsq must be supplied in SCALE and SUMSQ and
.br
scl and smsq are overwritten on SCALE and SUMSQ respectively.
The routine makes only one pass through the vector x.
.br
.SH ARGUMENTS
.TP 8
N (input) INTEGER
The number of elements to be used from the vector X.
.TP 8
X (input) REAL array, dimension (N)
The vector for which a scaled sum of squares is computed.
x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n.
.TP 8
INCX (input) INTEGER
The increment between successive values of the vector X.
INCX > 0.
.TP 8
SCALE (input/output) REAL
On entry, the value scale in the equation above.
On exit, SCALE is overwritten with scl , the scaling factor
for the sum of squares.
.TP 8
SUMSQ (input/output) REAL
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.