 LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
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## ◆ 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.

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.```

Definition at line 106 of file zlartv.f.

107*
108* -- LAPACK auxiliary routine --
109* -- LAPACK is a software package provided by Univ. of Tennessee, --
110* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
111*
112* .. Scalar Arguments ..
113 INTEGER INCC, INCX, INCY, N
114* ..
115* .. Array Arguments ..
116 DOUBLE PRECISION C( * )
117 COMPLEX*16 S( * ), X( * ), Y( * )
118* ..
119*
120* =====================================================================
121*
122* .. Local Scalars ..
123 INTEGER I, IC, IX, IY
124 COMPLEX*16 XI, YI
125* ..
126* .. Intrinsic Functions ..
127 INTRINSIC dconjg
128* ..
129* .. Executable Statements ..
130*
131 ix = 1
132 iy = 1
133 ic = 1
134 DO 10 i = 1, n
135 xi = x( ix )
136 yi = y( iy )
137 x( ix ) = c( ic )*xi + s( ic )*yi
138 y( iy ) = c( ic )*yi - dconjg( s( ic ) )*xi
139 ix = ix + incx
140 iy = iy + incy
141 ic = ic + incc
142 10 CONTINUE
143 RETURN
144*
145* End of ZLARTV
146*
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