# zlassq.f - Man Page

## Synopsis

### Functions/Subroutines

subroutine **zlassq** (**N**, X, INCX, SCALE, SUMSQ)**ZLASSQ** updates a sum of squares represented in scaled form.

## Function/Subroutine Documentation

### subroutine zlassq (integer N, complex*16, dimension( * ) X, integer INCX, double precision SCALE, double precision SUMSQ)

**ZLASSQ** updates a sum of squares represented in scaled form.

**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.

**Parameters:***N*N is INTEGER The number of elements to be used from the vector X.

*X*X is COMPLEX*16 array, dimension (N) The vector x as described above. 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 DOUBLE PRECISION On entry, the value scale in the equation above. On exit, SCALE is overwritten with the value scl .

*SUMSQ*SUMSQ is DOUBLE PRECISION On entry, the value sumsq in the equation above. On exit, SUMSQ is overwritten with the value ssq .

**Author:**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

**Date:**December 2016

Definition at line 108 of file zlassq.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zlassq(3) is an alias of zlassq.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK