SRC/clar2v.f(3)

NAME
SRC/clar2v.f

SYNOPSIS

  Functions/Subroutines
subroutine clar2v (n, x, y, z, incx, c, s, 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.

Function/Subroutine Documentation

  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.

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
    N

    !>          N is INTEGER
    !>          The number of plane rotations to be applied.
    !>

    X

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

    Y

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

    Z

    !>          Z is COMPLEX array, dimension (1+(N-1)*INCX)
    !>          The vector z.
    !>

    INCX

    !>          INCX is INTEGER
    !>          The increment between elements of X, Y and Z. INCX > 0.
    !>

    C

    !>          C is REAL array, dimension (1+(N-1)*INCC)
    !>          The cosines of the plane rotations.
    !>

    S

    !>          S is COMPLEX array, dimension (1+(N-1)*INCC)
    !>          The sines of the plane rotations.
    !>

    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 110 of file clar2v.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.