ZLASSQ - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : LAPACK auxiliary routine (version 3.2)
Note : LAPACK auxiliary routine (version 3.2)

NAMEZLASSQ - returns the values scl and ssq such that ( scl**2 )*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,

SYNOPSISSUBROUTINE ZLASSQ(  N, X, INCX, SCALE, SUMSQ )  INTEGER INCX, N  DOUBLE PRECISION SCALE, SUMSQ  COMPLEX*16 X( * )

PURPOSEZLASSQ 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 routine makes only one pass through the vector X.

ARGUMENTSN (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 .
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