LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ clar2v()

subroutine clar2v ( integer n,
complex, dimension( * ) x,
complex, dimension( * ) y,
complex, dimension( * ) z,
integer incx,
real, dimension( * ) c,
complex, dimension( * ) s,
integer incc )

CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.

Download CLAR2V + dependencies [TGZ] [ZIP] [TXT]

Purpose:
!>
!> CLAR2V applies a vector of complex plane rotations with real cosines
!> from both sides to a sequence of 2-by-2 complex Hermitian matrices,
!> defined by the elements of the vectors x, y and z. For i = 1,2,...,n
!>
!>    (       x(i)  z(i) ) :=
!>    ( conjg(z(i)) y(i) )
!>
!>      (  c(i) conjg(s(i)) ) (       x(i)  z(i) ) ( c(i) -conjg(s(i)) )
!>      ( -s(i)       c(i)  ) ( conjg(z(i)) y(i) ) ( s(i)        c(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; the elements of x are assumed to be real.
!> 
[in,out]Y
!>          Y is COMPLEX array, dimension (1+(N-1)*INCX)
!>          The vector y; the elements of y are assumed to be real.
!> 
[in,out]Z
!>          Z is COMPLEX array, dimension (1+(N-1)*INCX)
!>          The vector z.
!> 
[in]INCX
!>          INCX is INTEGER
!>          The increment between elements of X, Y and Z. INCX > 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.