zlartv()

subroutine zlartv	(	integer	N,
		complex*16, dimension( * )	X,
		integer	INCX,
		complex*16, dimension( * )	Y,
		integer	INCY,
		double precision, dimension( * )	C,
		complex*16, dimension( * )	S,
		integer	INCC
	)

ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.

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Purpose:

 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) )

Parameters

[in]	N	N is INTEGER The number of plane rotations to be applied.
[in,out]	X	X is COMPLEX*16 array, dimension (1+(N-1)*INCX) The vector x.
[in]	INCX	INCX is INTEGER The increment between elements of X. INCX > 0.
[in,out]	Y	Y is COMPLEX*16 array, dimension (1+(N-1)*INCY) The vector y.
[in]	INCY	INCY is INTEGER The increment between elements of Y. INCY > 0.
[in]	C	C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The cosines of the plane rotations.
[in]	S	S is COMPLEX*16 array, dimension (1+(N-1)*INCC) The sines of the plane rotations.
[in]	INCC	INCC is INTEGER The increment between elements of C and S. INCC > 0.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date

December 2016

Definition at line 109 of file zlartv.f.

*
*  -- LAPACK auxiliary routine (version 3.7.0) --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*     December 2016
*
*     .. Scalar Arguments ..
      INTEGER            INCC, INCX, INCY, N
*     ..
*     .. Array Arguments ..
      DOUBLE PRECISION   C( * )
      COMPLEX*16         S( * ), X( * ), Y( * )
*     ..
*
*  =====================================================================
*
*     .. Local Scalars ..
      INTEGER            I, IC, IX, IY
      COMPLEX*16         XI, YI
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          dconjg
*     ..
*     .. Executable Statements ..
*
      ix = 1
      iy = 1
      ic = 1
      DO 10 i = 1, n
         xi = x( ix )
         yi = y( iy )
         x( ix ) = c( ic )*xi + s( ic )*yi
         y( iy ) = c( ic )*yi - dconjg( s( ic ) )*xi
         ix = ix + incx
         iy = iy + incy
         ic = ic + incc
   10 CONTINUE
      RETURN
*
*     End of ZLARTV
*

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