annotate scripts/special-matrix/rosser.m @ 7017:a1dbe9d80eee

[project @ 2007-10-12 21:27:11 by jwe]
author jwe
date Fri, 12 Oct 2007 21:27:37 +0000
parents 93c65f2a5668
children 853f96e8008f
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1 ## Copyright (C) 1999, 2006, 2007 Peter Ekberg
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} rosser ()
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21 ##
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22 ## Returns the Rosser matrix. This is a difficult test case used to test
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23 ## eigenvalue algorithms.
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24 ##
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25 ## @seealso{hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz
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26 ## hadamard, wilkinson, compan, pascal}
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27 ## @end deftypefn
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28
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29 ## Author: Peter Ekberg
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30 ## (peda)
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31
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32 function retval = rosser ()
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33
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34 if (nargin != 0)
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35 print_usage ();
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36 endif
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37
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38 retval = [611, 196, -192, 407, -8, -52, -49, 29;
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39 196, 899, 113, -192, -71, -43, -8, -44;
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40 -192, 113, 899, 196, 61, 49, 8, 52;
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41 407, -192, 196, 611, 8, 44, 59, -23;
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42 -8, -71, 61, 8, 411, -599, 208, 208;
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43 -52, -43, 49, 44, -599, 411, 208, 208;
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44 -49, -8, 8, 59, 208, 208, 99, -911;
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45 29, -44, 52, -23, 208, 208, -911, 99];
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46 endfunction