LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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◆ 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.

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

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

Definition at line 106 of file clartv.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 REAL C( * )
117 COMPLEX S( * ), X( * ), Y( * )
118* ..
119*
120* =====================================================================
121*
122* .. Local Scalars ..
123 INTEGER I, IC, IX, IY
124 COMPLEX XI, YI
125* ..
126* .. Intrinsic Functions ..
127 INTRINSIC conjg
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 - conjg( s( ic ) )*xi
139 ix = ix + incx
140 iy = iy + incy
141 ic = ic + incc
142 10 CONTINUE
143 RETURN
144*
145* End of CLARTV
146*
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