Mercurial > octave-libtiff
view scripts/special-matrix/hilb.m @ 2311:2b5788792cad
[project @ 1996-07-11 20:18:38 by jwe]
author | jwe |
---|---|
date | Thu, 11 Jul 1996 20:18:38 +0000 |
parents | 5cffc4b8de57 |
children | 5ca126254d15 |
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### 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, hadamard, invhilb, toeplitz 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