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vander.m
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1998-11-10
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## Copyright (C) 1996, 1997 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, write to the Free
## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.
## usage: vander (c)
##
## Return the Vandermonde matrix whose next to last column is c.
##
## See also: hankel, sylvester_matrix, hilb, invhilb, toeplitz
## Author: jwe
function retval = vander (c)
if (nargin != 1)
usage ("vander (c)");
endif
nr = rows (c);
nc = columns (c);
if (nr == 1 && nc == 1)
retval = 1;
elseif (nr == 1 || nc == 1)
n = length (c);
if (n > 0)
retval = zeros (n, n);
for i = 1:n
tmp = c(i);
for j = 1:n
retval (i, j) = tmp ^ (n - j);
endfor
endfor
endif
else
error ("vander: argument must be a vector");
endif
endfunction