Hello,
I was curious if the Cardan formulas are used in the computation of
roots of cubic and quartic polynomials.
I could not find them.
Implementation of these seems straightforward for an experienced lisp
programmer (which I, unfortunately, am not). Are there problems in
implementing the Cardan formulas (potential disadvantages, etc)?
In general, one would like to find symbolic solutions of rational
polynomials when possible (i.e., computing Galois groups when
feasable). Of course, here, I am thinking of solutions by extracting
roots (radicals).
Anyone know if this is done in other computer algebra programs?
It would be nice to allow users to choose to implement symbolic or
numerical methods for eigenvalues. Is this possible now, say by
setting some variable true or false?
Any comments are welcome.
TIA,
-sen
--
---------------------------------------------------------------------------
| Sheldon E. Newhouse | e-mail: sen1 at math.msu.edu |
| Mathematics Department | |
| Michigan State University | telephone: 517-355-9684 |
| E. Lansing, MI 48824-1027 USA | FAX: 517-432-1562 |
---------------------------------------------------------------------------