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vander.m
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1996-09-28
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# Copyright (C) 1993, 1994, 1995 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, 675 Mass Ave, Cambridge, MA 02139, USA.
function retval = vander (c)
# usage: vander (c)
#
# Return the Vandermonde matrix whose next to last column is c.
#
# See also: hankel, hadamard, hilb, invhilb, toeplitz
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