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slassq.f(3) LAPACK slassq.f(3)

NAME

slassq.f -

SYNOPSIS

Functions/Subroutines


subroutine slassq (N, X, INCX, SCALE, SUMSQ)
 
SLASSQ

Function/Subroutine Documentation

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

SLASSQ
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:
November 2011
 
Definition at line 104 of file slassq.f.

Author

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