annotate scripts/special-matrix/rosser.m @ 29359:7854d5752dd2

maint: merge stable to default.
author John W. Eaton <jwe@octave.org>
date Wed, 10 Feb 2021 10:10:40 -0500
parents 2883b3d08b7e 0a5b15007766
children 796f54d4ddbf
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1999-2021 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {} rosser ()
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28 ## Return the @nospell{Rosser} matrix.
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29 ##
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30 ## This is a difficult test case used to evaluate eigenvalue algorithms.
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31 ## @seealso{wilkinson, eig}
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32 ## @end deftypefn
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33
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34 function retval = rosser ()
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36 retval = [611, 196, -192, 407, -8, -52, -49, 29;
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37 196, 899, 113, -192, -71, -43, -8, -44;
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38 -192, 113, 899, 196, 61, 49, 8, 52;
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39 407, -192, 196, 611, 8, 44, 59, -23;
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40 -8, -71, 61, 8, 411, -599, 208, 208;
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41 -52, -43, 49, 44, -599, 411, 208, 208;
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42 -49, -8, 8, 59, 208, 208, 99, -911;
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43 29, -44, 52, -23, 208, 208, -911, 99];
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44
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45 endfunction
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46
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48 %!assert (size (rosser ()), [8,8])
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49 %!assert (rosser ()([1, end]), [611, 99])
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51 %!error rosser (1)