LAPACK  3.6.1 LAPACK: Linear Algebra PACKage
 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.```
Date
September 2012

Definition at line 109 of file zlartv.f.

109 *
110 * -- LAPACK auxiliary routine (version 3.4.2) --
111 * -- LAPACK is a software package provided by Univ. of Tennessee, --
112 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
113 * September 2012
114 *
115 * .. Scalar Arguments ..
116  INTEGER incc, incx, incy, n
117 * ..
118 * .. Array Arguments ..
119  DOUBLE PRECISION c( * )
120  COMPLEX*16 s( * ), x( * ), y( * )
121 * ..
122 *
123 * =====================================================================
124 *
125 * .. Local Scalars ..
126  INTEGER i, ic, ix, iy
127  COMPLEX*16 xi, yi
128 * ..
129 * .. Intrinsic Functions ..
130  INTRINSIC dconjg
131 * ..
132 * .. Executable Statements ..
133 *
134  ix = 1
135  iy = 1
136  ic = 1
137  DO 10 i = 1, n
138  xi = x( ix )
139  yi = y( iy )
140  x( ix ) = c( ic )*xi + s( ic )*yi
141  y( iy ) = c( ic )*yi - dconjg( s( ic ) )*xi
142  ix = ix + incx
143  iy = iy + incy
144  ic = ic + incc
145  10 CONTINUE
146  RETURN
147 *
148 * End of ZLARTV
149 *

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