 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.

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.

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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