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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 (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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Wed Oct 15 2014 Version 3.4.2