## Copyright (C) 1996 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING.  If not, write to the Free
## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.

## usage: hilb (n)
##
## Return the Hilbert matrix of order n.  The i, j element of a Hilbert
## matrix is defined as
##
##  H (i, j) = 1 / (i + j - 1);
##
## See also: hankel, vander, sylvester_matrix, invhilb, toeplitz

## Author: jwe

function retval = hilb (n)


  if (nargin != 1)
    usage ("hilb (n)");
  endif

  nmax = length (n);
  if (nmax == 1)
    retval = zeros (n);
    tmp = 1:n;
    for i = 1:n
      retval (i, :) = 1.0 ./ (tmp + (i - 1));
    endfor
  else
    error ("hilb: expecting scalar argument, found something else");
  endif

endfunction
