zlar2v.f(3)

NAME
zlar2v.f -

SYNOPSIS

  Functions/Subroutines

subroutine zlar2v (N, X, Y, Z, INCX, C, S, 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.

Function/Subroutine Documentation

  subroutine zlar2v (integerN, complex*16, dimension( * )X, complex*16, dimension( * )Y, complex*16, dimension( * )Z, integerINCX, double precision, dimension( * )C, complex*16, dimension( * )S, integerINCC)

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.

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:
    N

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

    X

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

    Y

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

    Z

              Z is COMPLEX*16 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 DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
              The cosines of the plane rotations.

    S

              S is COMPLEX*16 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.

Date:
    September 2012

Definition at line 112 of file zlar2v.f.

Author

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