annotate scripts/special-matrix/vander.m @ 2311:2b5788792cad

[project @ 1996-07-11 20:18:38 by jwe]
author jwe
date Thu, 11 Jul 1996 20:18:38 +0000
parents 5cffc4b8de57
children 5ca126254d15
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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 ## usage: vander (c)
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21 ##
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22 ## Return the Vandermonde matrix whose next to last column is c.
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23 ##
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24 ## See also: hankel, hadamard, hilb, invhilb, toeplitz
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26 function retval = vander (c)
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27
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28 if (nargin != 1)
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29 usage ("vander (c)");
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30 endif
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31
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32 nr = rows (c);
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33 nc = columns (c);
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34 if (nr == 1 && nc == 1)
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35 retval = 1;
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36 elseif (nr == 1 || nc == 1)
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37 n = length (c);
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38 if (n > 0)
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39 retval = zeros (n, n);
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40 for i = 1:n
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41 tmp = c(i);
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42 for j = 1:n
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43 retval (i, j) = tmp ^ (n - j);
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44 endfor
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45 endfor
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46 endif
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47 else
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48 error ("vander: argument must be a vector");
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49 endif
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50
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51 endfunction