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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ????-2008 - INRIA
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function [d]=detr(h)
//[d]=detr(h) computes the determinant of a polynomial or
//rational function matrix h using Leverrier's method
//!
rhs = argn(2);
if rhs <> 1 then
error(msprintf(gettext("%s: Wrong number of input argument: %d expected.\n"), "detr", 1));
end
tof=typeof(h)
if or(tof==["polynomial","constant", "rational"]) then
[m,n]=size(h);
if m<>n then
error(msprintf(gettext("%s: Wrong size for input argument #%d: A square matrix expected.\n"),"detr",1))
end
f=eye(n,n);
for k=1:n-1,
b=h*f,
d=-sum(diag(b))/k
f=b+eye(n,n)*d,
end
d=-sum(diag(h*f))/n;
if 2*int(n/2)<>n then d=-d;end
else
error(msprintf(gettext("%s: Wrong type for input argument #%d: A floating point number or polynomial or rational fraction array expected.\n"),"detr",1))
end
endfunction
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