zlar2v.f(3)

zlar2v.f3

Usage

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.

Definition at line 110 of file zlar2v.f.

Releases

4 releases since Debian 7 (Wheezy); the text changed 3 times.

  1. 7
  2. 8
  3. 9
  4. Arch

Author

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