LAPACK  3.8.0
LAPACK: Linear Algebra PACKage

◆ zlartv()

subroutine zlartv ( integer  N,
complex*16, dimension( * )  X,
integer  INCX,
complex*16, dimension( * )  Y,
integer  INCY,
double precision, dimension( * )  C,
complex*16, dimension( * )  S,
integer  INCC 
)

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

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

Purpose:
 ZLARTV 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*16 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*16 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 DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
          The cosines of the plane rotations.
[in]S
          S is COMPLEX*16 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.
Date
December 2016

Definition at line 109 of file zlartv.f.

109 *
110 * -- LAPACK auxiliary routine (version 3.7.0) --
111 * -- LAPACK is a software package provided by Univ. of Tennessee, --
112 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
113 * December 2016
114 *
115 * .. Scalar Arguments ..
116  INTEGER incc, incx, incy, n
117 * ..
118 * .. Array Arguments ..
119  DOUBLE PRECISION c( * )
120  COMPLEX*16 s( * ), x( * ), y( * )
121 * ..
122 *
123 * =====================================================================
124 *
125 * .. Local Scalars ..
126  INTEGER i, ic, ix, iy
127  COMPLEX*16 xi, yi
128 * ..
129 * .. Intrinsic Functions ..
130  INTRINSIC dconjg
131 * ..
132 * .. Executable Statements ..
133 *
134  ix = 1
135  iy = 1
136  ic = 1
137  DO 10 i = 1, n
138  xi = x( ix )
139  yi = y( iy )
140  x( ix ) = c( ic )*xi + s( ic )*yi
141  y( iy ) = c( ic )*yi - dconjg( s( ic ) )*xi
142  ix = ix + incx
143  iy = iy + incy
144  ic = ic + incc
145  10 CONTINUE
146  RETURN
147 *
148 * End of ZLARTV
149 *
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