Scilab Reference Manual |
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companion — companion matrix
A=companion(p)
Returns a matrix A with characteristic polynomial equal to p if p is monic. If p is not monic the characteristic polynomial of A is equal to p/c where c is the coefficient of largest degree in p.
If p is a vector of monic polynomials, A is block diagonal, and the characteristic polynomial of the ith block is p(i).
s=poly(0,'s'); p=poly([1,2,3,4,1],'s','c') det(s*eye()-companion(p)) roots(p) spec(companion(p))
F.D.
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