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1 # Copyright (C) 1993, 1994 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 the |
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7 # Free Software Foundation; either version 2, or (at your option) any |
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8 # later version. |
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9 # |
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10 # Octave is distributed in the hope that it will be useful, but WITHOUT |
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11 # ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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12 # FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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13 # 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, 675 Mass Ave, Cambridge, MA 02139, USA. |
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18 |
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4
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19 function retval = hilb (n) |
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20 |
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21 # usage: hilb (n) |
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22 # |
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23 # Return the Hilbert matrix of order n. The i, j element of a Hilbert |
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24 # matrix is defined as |
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25 # |
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26 # H (i, j) = 1 / (i + j - 1); |
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27 # |
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28 # See also: hankel, vander, hadamard, invhilb, toeplitz |
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29 |
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30 |
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31 if (nargin != 1) |
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32 usage ("hilb (n)"); |
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4
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33 endif |
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34 |
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35 nmax = length (n); |
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36 if (nmax == 1) |
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37 retval = zeros (n); |
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38 tmp = 1:n; |
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39 for i = 1:n |
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40 retval (i, :) = 1.0 ./ (tmp + (i - 1)); |
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4
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41 endfor |
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42 else |
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43 error ("hilb: expecting scalar argument, found something else"); |
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44 endif |
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45 |
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46 endfunction |
