 LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
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## ◆ slartv()

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

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

Purpose:
``` SLARTV 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 REAL 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 REAL 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 REAL 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 slartv.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 REAL C( * ), S( * ), X( * ), Y( * )
118* ..
119*
120* =====================================================================
121*
122* .. Local Scalars ..
123 INTEGER I, IC, IX, IY
124 REAL 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 SLARTV
143*
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