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SLASSQ(3F)							    SLASSQ(3F)


NAME    [Toc]    [Back]

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

SYNOPSIS    [Toc]    [Back]

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

	 INTEGER	INCX, N

	 REAL		SCALE, SUMSQ

	 REAL		X( * )

PURPOSE    [Toc]    [Back]

     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

	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    [Toc]    [Back]

     N	     (input) INTEGER
	     The number	of elements to be used from the	vector X.

     X	     (input) REAL
	     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) 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.

     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.
SLASSQ(3F)							    SLASSQ(3F)


NAME    [Toc]    [Back]

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

SYNOPSIS    [Toc]    [Back]

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

	 INTEGER	INCX, N

	 REAL		SCALE, SUMSQ

	 REAL		X( * )

PURPOSE    [Toc]    [Back]

     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

	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    [Toc]    [Back]

     N	     (input) INTEGER
	     The number	of elements to be used from the	vector X.

     X	     (input) REAL
	     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) 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.

     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.


									PPPPaaaaggggeeee 1111
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