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From: marius63 <amado.alves@gmail.com>
Newsgroups: comp.lang.ada
Subject: Re: Eigenvalues to find roots of polynomials
Date: Tue, 26 Jul 2011 07:07:53 -0700 (PDT)
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> > -- =A0 =A0| =A0 -A(1)/A(0) =A0 -A(2)/A(0) =A0 -A(3)/A(0) =A0 ... =A0 -A=
(N)/A(0) =A0 |
> > -- =A0 =A0| =A0 =A0 =A0 =A01 =A0 =A0 =A0 =A0 =A0 =A00 =A0 =A0 =A0 =A0 =
=A0 =A00 =A0 =A0 =A0 ... =A0 =A0 =A0 =A00 =A0 =A0 =A0 |
> > -- =A0 =A0| =A0 =A0 =A0 =A00 =A0 =A0 =A0 =A0 =A0 =A01 =A0 =A0 =A0 =A0 =
=A0 =A00 =A0 =A0 =A0 ... =A0 =A0 =A0 =A00 =A0 =A0 =A0 |
> > -- =A0 =A0| =A0 =A0 =A0 ... =A0 =A0 =A0 =A0 =A0... =A0 =A0 =A0 =A0 =A0 =
1 =A0 =A0 =A0 ... =A0 =A0 =A0 =A00 =A0 =A0 =A0 |
> > -- =A0 =A0|_ =A0 =A0 =A0 0 =A0 =A0 =A0 =A0 =A0 =A00 =A0 =A0 =A0 =A0 =A0=
 =A00 =A0 =A0 =A0 ... =A0 =A0 =A0 =A00 =A0 =A0 =A0_|
>
> 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)) =3D Re (M(J,I)) and Im (M(I,J)) =3D -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.