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annotate scripts/polynomial/polyvalm.m @ 5642:2618a0750ae6

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[project @ 2006-03-06 21:26:48 by jwe]
author jwe
date Mon, 06 Mar 2006 21:26:54 +0000
parents 4c8a2e4e0717
children 34f96dd5441b
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1 ## Copyright (C) 1996, 1997 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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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18 ## 02110-1301, USA.
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} polyvalm (@var{c}, @var{x})
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22 ## Evaluate a polynomial in the matrix sense.
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23 ##
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24 ## @code{polyvalm (@var{c}, @var{x})} will evaluate the polynomial in the
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25 ## matrix sense, i.e. matrix multiplication is used instead of element by
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26 ## element multiplication as is used in polyval.
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27 ##
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28 ## The argument @var{x} must be a square matrix.
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29 ## @seealso{polyval, poly, roots, conv, deconv, residue, filter,
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30 ## polyderiv, and polyinteg}
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31 ## @end deftypefn
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33 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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34 ## Created: June 1994
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35 ## Adapted-By: jwe
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37 function y = polyvalm (c, x)
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39 if (nargin != 2)
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40 usage ("polyvalm (c, x)");
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41 endif
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42
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43 if (! (isvector (c) || isempty (c)))
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44 error ("polyvalm: first argument must be a vector");
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45 endif
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47 if (! issquare (x))
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48 error ("polyvalm: second argument must be a square matrix");
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49 endif
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51 if (isempty (c))
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52 y = [];
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53 return;
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54 endif
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56 [v, d] = eig (x);
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58 if (issymmetric (x))
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59 y = v * diag (polyval (c, diag (d))) * v';
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60 else
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61 y = v * (diag (polyval (c, diag (d))) / v);
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62 endif
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64 endfunction