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LAPACK version 3.0
dlassq(3)

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

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

      INTEGER	     INCX, N

      DOUBLE	     PRECISION SCALE, SUMSQ

      DOUBLE	     PRECISION X( * )

DESCRIPTION
  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.