LAPACK 3.12.0
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.

Download SLARTV + dependencies [TGZ] [ZIP] [TXT]

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.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

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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