LAPACK  3.10.0
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.

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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