LAPACK  3.4.2
LAPACK: Linear Algebra PACKage
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zlar2v.f File Reference

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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 ( 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.

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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.
Date
September 2012

Definition at line 112 of file zlar2v.f.

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