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1 ### Copyright (C) 1996 John W. Eaton |
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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 2, or (at your option) |
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8 ### 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, write to the Free |
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17 ### Software Foundation, 59 Temple Place - Suite 330, Boston, MA |
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18 ### 02111-1307, USA. |
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19 |
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20 function retval = hilb (n) |
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21 |
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22 ## usage: hilb (n) |
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23 ## |
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24 ## Return the Hilbert matrix of order n. The i, j element of a Hilbert |
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25 ## matrix is defined as |
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26 ## |
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27 ## H (i, j) = 1 / (i + j - 1); |
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28 ## |
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29 ## See also: hankel, vander, hadamard, invhilb, toeplitz |
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30 |
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31 |
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32 if (nargin != 1) |
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33 usage ("hilb (n)"); |
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34 endif |
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35 |
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36 nmax = length (n); |
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37 if (nmax == 1) |
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38 retval = zeros (n); |
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39 tmp = 1:n; |
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40 for i = 1:n |
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41 retval (i, :) = 1.0 ./ (tmp + (i - 1)); |
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42 endfor |
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43 else |
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44 error ("hilb: expecting scalar argument, found something else"); |
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45 endif |
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46 |
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47 endfunction |
