Re: Eigenvalues to find roots of polynomials

[marius63 <amado.alves@gmail.com>]

> > --    |   -A(1)/A(0)   -A(2)/A(0)   -A(3)/A(0)   ...   -A(N)/A(0)   |
> > --    |        1            0            0       ...        0       |
> > --    |        0            1            0       ...        0       |
> > --    |       ...          ...           1       ...        0       |
> > --    |_       0            0            0       ...        0      _|
>
> The matrix passed to Eigenvalues (ARM G.3.2) must be Hermitian. The above
> matrix is not Hermitian.
>
> P.S. A matrix M is Hermitian if M (I,J) if the complex conjugate of M
> (J,I)), i.e. Re (M(I,J)) = Re (M(J,I)) and Im (M(I,J)) = -Im (M(J,I))
> (Dmitry A. Kazakov)

I suspected that. I couldn't tell an hermitian matrix from a
hamiltonian gargle blaster so when the program did not raise
Argument_Error I assumed the matrix was kosher enough. It seems not.
(So, Ada Eigenvalues is not a very good way to find roots, is it?)
Thanks.