Dylan Arena stanford.edu> writes:
>
> Hi,
>
> I'm trying to use R to get eigenvalues and eigenvectors of a matrix
> whose elements are of the form (2 * lambda), -(lambda + mu), etc. I'd
> like R to treat this matrix as a numeric matrix without treating lambda
> and mu as variable names but rather as some sort of atomic quantities
> (and hence give eigenvectors in terms of mu and/or lambda). MatLab and
> Mathematica both do this, but I'm not sure whether R does. Does anyone
> have any ideas about how to do this?
>
> Please let me know,
> Dylan
>
You are asking for a Computer Algebra problem and thus you should apply a
Computer Algebra System (CAS) such as Maple, Mathematica, MuPAD, or the
free software Maxima.
By the way, Matlab does _not_ do this, it utilizes the Maple kernel in its
Symbolic Toolbox.
In R you can try the Ryacas package, but I personally would prefer one of
the more extended systems. Maxima with wxMaxima interface is quite nice,
and for MuPAD there is a non-expensive personal copy available.
Hans Werner Borchers
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