Ah... of course.  Diagonalization is not always possible.

Never mind.


On Tue, May 28, 2013 at 1:03 PM, Michael McCormick <mmccorm...@runbox.com>wrote:

> Hi Ted,
>
> You are not under-informed, but there is a strong possibility that I am.
>  There are of course many ways to compute the exponential of a matrix, the
> Schur decomposition and eigendecompositions among them.
>
> The algorithm implemented by Matlab's expm() uses a Pade approximation and
> a square-and-rescale technique that is supposedly  faster and numerically
> very robust.
>
> On May 28, 2013, at 3:28 PM, Ted Dunning <ted.dunn...@gmail.com> wrote:
>
> > I think I am under informed here.
> >
> > Isn't the matrix exponential normally computed using eigen
> decomposition?  It seems from the series expansion that all that is
> involved is to exponentiate the diagonal in the eigen vector form.
>
>
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