Mercurial > octave
view scripts/special-matrix/hilb.m @ 904:3470f1e25a79
[project @ 1994-11-09 21:22:15 by jwe]
author | jwe |
---|---|
date | Wed, 09 Nov 1994 21:22:15 +0000 |
parents | b805b12f3b66 |
children | 3f257ab07921 |
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# Copyright (C) 1993, 1994 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, 675 Mass Ave, Cambridge, MA 02139, USA. function retval = hilb (n) # 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, hadamard, invhilb, toeplitz 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