diff scripts/special-matrix/wilkinson.m @ 5827:1fe78adb91bc

[project @ 2006-05-22 06:25:14 by jwe]
author jwe
date Mon, 22 May 2006 06:25:14 +0000
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+## 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