Mercurial > hg > octave-lyh
diff scripts/polynomial/roots.m @ 787:c5d35bb139b6
[project @ 1994-10-11 00:34:13 by jwe]
Initial revision
author | jwe |
---|---|
date | Tue, 11 Oct 1994 00:34:39 +0000 |
parents | |
children | 3470f1e25a79 |
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new file mode 100644 --- /dev/null +++ b/scripts/polynomial/roots.m @@ -0,0 +1,38 @@ +function r = roots (v) + # + # For a vector v with n components, return the roots of the + # polynomial v(1) * z^(n-1) + ... + v(n-1) * z + v(n). + + # Written by KH (Kurt.Hornik@neuro.tuwien.ac.at) on Dec 24, 1993 + # Copyright Dept of Probability Theory and Statistics TU Wien + + [nr, nc] = size(v); + if !((nr == 1 && nc > 1) || (nc == 1 && nr > 1)) + error ("usage: roots (v), where v is a nonzero vector"); + endif + + n = nr + nc - 1; + v = reshape (v, 1, n); + + # If v = [ 0 ... 0 v(k+1) ... v(k+l) 0 ... 0 ], we can remove the + # leading k zeros and n - k - l roots of the polynomial are zero. + f = find (v); + m = max (size (f)); + if (m > 0) + v = v(f(1):f(m)); + l = max (size (v)); + if (l > 1) + A = diag (ones (1, l-2), -1); + A(1,:) = -v(2:l) ./ v(1); + r = eig (A); + if (f(m) < n) + r = [r; zeros (n - f(m), 1)]; + endif + else + r = zeros (n - f(m), 1); + endif + else + error ("usage: roots(v), where v is a nonzero vector"); + endif + +endfunction