Mercurial > hg > octave-lyh
view scripts/polynomial/roots-tuwien.m @ 561:e79ff1f4df3c
[project @ 1994-07-25 22:32:08 by jwe]
Initial revision
author | jwe |
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date | Mon, 25 Jul 1994 22:32:08 +0000 |
parents | faf108b99d21 |
children | 4fcd2e68dd3b |
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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 # modified by KH on Jan 10, 1994 [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