 LAPACK  3.10.1 LAPACK: Linear Algebra PACKage

## ◆ dlartv()

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

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

Purpose:
``` DLARTV applies a vector of real plane rotations to elements of the
real vectors x and y. For i = 1,2,...,n

( x(i) ) := (  c(i)  s(i) ) ( x(i) )
( y(i) )    ( -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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 107 of file dlartv.f.

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