new file mode 100644
--- /dev/null
+++ b/scripts/polynomial/mpoles.m
@@ -0,0 +1,112 @@
+## Copyright (C) 2007 Ben Abbott
+##
+## 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, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
+## 02110-1301, USA.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {[@var{multp}, @var{indx}] =} mpoles (@var{p})
+## @deftypefnx {Function File} {[@var{multp}, @var{indx}] =} mpoles (@var{p}, @var{tol})
+## @deftypefnx {Function File} {[@var{multp}, @var{indx}] =} mpoles (@var{p}, @var{tol}, @var{reorder})
+## Identifiy unique poles in @var{p} and associates their multiplicity,
+## ordering them from largest to smallest.
+## 
+## If the relative difference of the poles is less than @var{tol}, then
+## they are considered to be multiples.  The default value for @var{tol}
+## is 0.001.
+##
+## If the optional parameter @var{reorder} is zero, poles are not sorted.
+##
+## The value @var{multp} is a vector specifying the multiplicity of the
+## poles.  @var{multp}(:) refers to mulitplicity of @var{p}(@var{indx}(:)).
+##
+## For example,
+##
+## @example
+## @group
+## p = [2 3 1 1 2];
+## [m, n] = mpoles(p);
+##   @result{} m = [1; 1; 2; 1; 2]
+##   @result{} n = [2; 5; 1; 4; 3]
+##   @result{} p(n) = [3, 2, 2, 1, 1]
+## @end group
+## @end example
+##
+## @seealso{poly, roots, conv, deconv, polyval, polyderiv, polyinteg, residue}
+## @end deftypefn
+
+## Author: Ben Abbott <bpabbott@mac.com>
+## Created: Sept 30, 2007
+
+function [multp, indx] = mpoles (p, tol, reorder)
+
+  if (nargin < 1 || nargin > 3)
+    print_usage ();
+  endif
+
+   if (nargin < 2 || isempty (tol))
+     tol = 0.001;
+   endif
+
+   if (nargin < 3 || isempty (reorder))
+     reorder = true;
+   endif
+
+  Np = numel (p);
+
+  ## Force the poles to be a column vector.
+
+  p = p(:);
+
+  ## Sort the poles according to their magnitidues, largest first.
+
+  if (reorder)
+    ## Sort with smallest magnitude first.
+    [p, ordr] = sort (p);
+    ## Reverse order, largest maginitude first.
+    n = Np:-1:1;
+    p = p(n);
+    ordr = ordr(n);
+  else
+    ordr = 1:Np;
+  endif
+
+  ## Find pole multiplicty by comparing the relative differnce in the
+  ## poles.
+
+  multp = zeros (Np, 1);
+  indx = [];
+  n = find (multp == 0, 1);
+  while (n)
+    dp = abs (p-p(n));
+    if (p(n) == 0.0)
+      p0 = mean (abs (p(find (abs (p) > 0))));
+      if (isempty (p0))
+        p0 = 1;
+      end
+    else
+      p0 = abs (p(n));
+    endif
+    k = find (dp < tol * p0);
+    m = 1:numel (k);
+    multp(k) = m;
+    indx = [indx; k];
+    n = find (multp == 0, 1);
+  endwhile
+  multp = multp(indx);
+  indx = indx(ordr);
+
+endfunction