LAPACK  3.9.0 LAPACK: Linear Algebra PACKage

## ◆ clartv()

 subroutine clartv ( integer N, complex, dimension( * ) X, integer INCX, complex, dimension( * ) Y, integer INCY, real, dimension( * ) C, complex, dimension( * ) S, integer INCC )

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

Purpose:
``` CLARTV 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 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 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 REAL array, dimension (1+(N-1)*INCC) The cosines of the plane rotations.``` [in] S ``` S is COMPLEX 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
December 2016

Definition at line 109 of file clartv.f.

109 *
110 * -- LAPACK auxiliary routine (version 3.7.0) --
111 * -- LAPACK is a software package provided by Univ. of Tennessee, --
112 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
113 * December 2016
114 *
115 * .. Scalar Arguments ..
116  INTEGER INCC, INCX, INCY, N
117 * ..
118 * .. Array Arguments ..
119  REAL C( * )
120  COMPLEX S( * ), X( * ), Y( * )
121 * ..
122 *
123 * =====================================================================
124 *
125 * .. Local Scalars ..
126  INTEGER I, IC, IX, IY
127  COMPLEX XI, YI
128 * ..
129 * .. Intrinsic Functions ..
130  INTRINSIC conjg
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 - conjg( s( ic ) )*xi
142  ix = ix + incx
143  iy = iy + incy
144  ic = ic + incc
145  10 CONTINUE
146  RETURN
147 *
148 * End of CLARTV
149 *
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