2. EL 9
  3. lapack
  4. zlar2v(3)

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zlar2v.f(3) LAPACK 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 (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.

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:

December 2016

Definition at line 113 of file zlar2v.f.

Author

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Tue Nov 14 2017 Version 3.8.0