zgshsr.m

similer program for matlab

## Copyright (C) 1996, 2000, 2002, 2003, 2004, 2005, 2007
##               Auburn University.  All rights reserved.
##
## This file is part of Octave.
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## -*- texinfo -*-
## @deftypefn {Function File} {@var{x} =} zgshsr (@var{y})
## Apply householder vector based on 
## @iftex
## @tex
## $ e^m $
## @end tex
## @end iftex
## @ifinfo
## @math{e^(m)}
## @end ifinfo
## to column vector @var{y}.
## Called by @command{zgfslv}.
## @end deftypefn

## Author: A. S. Hodel <[e-mail]>
## Created: July 24, 1992
## Conversion to Octave by R. Bruce Tenison July 3, 1994

function x = zgshsr (y)

  if (nargin != 1)
    print_usage ();
  endif

  if (! isvector (y))
    error ("y(%dx%d) must be a vector", rows (y), columns (y));
  endif
  x = vec (y);
  m = length (x);
  if (m > 1)
    beta = (1 + sqrt (m)) * x(1) + sum (x(2:m));
    beta /= (m + sqrt (m));
    x(1) -= (beta * (1 + sqrt (m)));
    x(2:m) -= (beta * ones (m-1,1));
  else
    x = -x;
  endif

endfunction