Loading...
Searching...
No Matches

## zlar2v()

subroutine zlar2v | ( | integer | n,
|  | complex*16, dimension( * ) | x,
|  | complex*16, dimension( * ) | y,
|  | complex*16, dimension( * ) | z,
|  | integer | incx,
|  | double precision, dimension( * ) | c,
|  | complex*16, dimension( * ) | s,
|  | integer | incc )

ZLAR2V 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 ZLAR2V + dependencies [TGZ] [ZIP] [TXT]

Purpose:

      !>
      !> ZLAR2V 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*16 array, dimension (1+(N-1)*INCX)
      !>          The vector x; the elements of x are assumed to be real.
      !>

  [in,out]

  Y

      !>          Y is COMPLEX*16 array, dimension (1+(N-1)*INCX)
      !>          The vector y; the elements of y are assumed to be real.
      !>

  [in,out]

  Z

      !>          Z is COMPLEX*16 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 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.