LAPACK  3.10.0 LAPACK: Linear Algebra PACKage

## ◆ 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 *
Here is the caller graph for this function: