Mercurial > hg > octave-lyh
diff scripts/special-matrix/wilkinson.m @ 5827:1fe78adb91bc
[project @ 2006-05-22 06:25:14 by jwe]
author | jwe |
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date | Mon, 22 May 2006 06:25:14 +0000 |
parents | |
children | 93c65f2a5668 |
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new file mode 100644 --- /dev/null +++ b/scripts/special-matrix/wilkinson.m @@ -0,0 +1,47 @@ +## Copyright (C) 1999 Peter Ekberg +## +## 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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA +## 02110-1301, USA. + +## -*- texinfo -*- +## @deftypefn {Function File} {} wilkinson (@var{n}) +## +## Return the Wilkinson matrix of order @var{n}. +## +## @seealso{hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz +## hadamard, rosser, compan, pascal} +## @end deftypefn + +## Author: Peter Ekberg +## (peda) + +function retval = wilkinson (n) + + if (nargin != 1) + print_usage (); + endif + + nmax = length (n); + if (! (nmax == 1)) + error ("wilkinson: expecting scalar argument, found something else"); + endif + + side = ones (n-1, 1); + center = abs (-(n-1)/2:(n-1)/2); + retval = diag (side, -1) + diag (center) + diag (side, 1); + +endfunction