ZLARTV(3F)							    ZLARTV(3F)

NAME    [Toc]    [Back]

     ZLARTV - applie a vector of complex plane rotations with real cosines to
     elements of the complex vectors x and y

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	ZLARTV(	N, X, INCX, Y, INCY, C,	S, INCC	)

	 INTEGER	INCC, INCX, INCY, N

	 DOUBLE		PRECISION C( * )

	 COMPLEX*16	S( * ),	X( * ),	Y( * )

PURPOSE    [Toc]    [Back]

     ZLARTV applies a vector of	complex	plane rotations	with real cosines to
     elements of the complex vectors x and y. For i = 1,2,...,n

	( x(i) ) := (	     c(i)   s(i) ) ( x(i) )
	( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )

ARGUMENTS    [Toc]    [Back]

     N	     (input) INTEGER
	     The number	of plane rotations to be applied.

     X	     (input/output) COMPLEX*16 array, dimension	(1+(N-1)*INCX)
	     The vector	x.

     INCX    (input) INTEGER
	     The increment between elements of X. INCX > 0.

     Y	     (input/output) COMPLEX*16 array, dimension	(1+(N-1)*INCY)
	     The vector	y.

     INCY    (input) INTEGER
	     The increment between elements of Y. INCY > 0.

     C	     (input) DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
	     The cosines of the	plane rotations.

     S	     (input) COMPLEX*16	array, dimension (1+(N-1)*INCC)
	     The sines of the plane rotations.

     INCC    (input) INTEGER
	     The increment between elements of C and S.	INCC > 0.
ZLARTV(3F)							    ZLARTV(3F)

NAME    [Toc]    [Back]

     ZLARTV - applie a vector of complex plane rotations with real cosines to
     elements of the complex vectors x and y

SYNOPSIS    [Toc]    [Back]

     SUBROUTINE	ZLARTV(	N, X, INCX, Y, INCY, C,	S, INCC	)

	 INTEGER	INCC, INCX, INCY, N

	 DOUBLE		PRECISION C( * )

	 COMPLEX*16	S( * ),	X( * ),	Y( * )

PURPOSE    [Toc]    [Back]

     ZLARTV applies a vector of	complex	plane rotations	with real cosines to
     elements of the complex vectors x and y. For i = 1,2,...,n

	( x(i) ) := (	     c(i)   s(i) ) ( x(i) )
	( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )

ARGUMENTS    [Toc]    [Back]

     N	     (input) INTEGER
	     The number	of plane rotations to be applied.

     X	     (input/output) COMPLEX*16 array, dimension	(1+(N-1)*INCX)
	     The vector	x.

     INCX    (input) INTEGER
	     The increment between elements of X. INCX > 0.

     Y	     (input/output) COMPLEX*16 array, dimension	(1+(N-1)*INCY)
	     The vector	y.

     INCY    (input) INTEGER
	     The increment between elements of Y. INCY > 0.

     C	     (input) DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
	     The cosines of the	plane rotations.

     S	     (input) COMPLEX*16	array, dimension (1+(N-1)*INCC)
	     The sines of the plane rotations.

     INCC    (input) INTEGER
	     The increment between elements of C and S.	INCC > 0.


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