slassq.f(3)

NAME
slassq.f -

SYNOPSIS

  Functions/Subroutines

subroutine slassq (N, X, INCX, SCALE, SUMSQ)
SLASSQ updates a sum of squares represented in scaled form.

Function/Subroutine Documentation

  subroutine slassq (integerN, real, dimension( * )X, integerINCX, realSCALE, realSUMSQ)

SLASSQ updates a sum of squares represented in scaled form.

Purpose:

     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.

Parameters:
    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.

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    September 2012

Definition at line 104 of file slassq.f.

Author

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