SLASSQ  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.

N

          N is INTEGER


          The number of elements to be used from the vector X.

X

          X is 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.

INCX

          INCX is INTEGER


          The increment between successive values of the vector X.


          INCX > 0.

SCALE

          SCALE is 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

          SUMSQ is 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.

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NAG Ltd.

December 2016