ZLASSQ(1) LAPACK auxiliary routine (version 3.2) ZLASSQ(1)NAME
ZLASSQ - returns 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 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 rou‐
tine 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 .
SUMSQ (input/output) DOUBLE PRECISION
On entry, the value sumsq in the equation above. On exit,
SUMSQ is overwritten with the value ssq .
LAPACK auxiliary routine (versioNovember 2008 ZLASSQ(1)