zlar2v.f man page

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

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

zlar2v(3) is an alias of zlar2v.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK