ZLASSQ - return the values scl and ssq such that ( scl**2
)*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
SYNOPSIS
SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ )
INTEGER INCX, N
DOUBLE PRECISION SCALE, SUMSQ
COMPLEX*16 X( * )
PURPOSE
ZLASSQ returns the values scl and ssq such that ( scl**2
)*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value
of sumsq is assumed to be at least unity and the value of
ssq will then satisfy
1.0 .le. ssq .le. ( sumsq + 2*n ).
scale is assumed to be non-negative and scl returns the
value
scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x(
i ) ) ) ),
i
scale and sumsq must be supplied in SCALE and SUMSQ
respectively. SCALE and SUMSQ are overwritten by scl and
ssq 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) COMPLEX*16 array, dimension (N)
The vector x as described above. 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 the value scl
.
On entry, the value sumsq in the equation above.
On exit, SUMSQ is overwritten with the value ssq
.
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