Just for the record, I'm answering to myself:

> I'm also thinking of Danilevskii's elimination: although it could be
> viewed as a Krylov method, it does not use any randomization, so could
> it always give the whole minpoly ?

I checked that this does not solve our pb: Danilevskii's alg is
deterministic for charpoly but still can choose bad vectors for minpoly.
A conter-example is
[1 1]
[0 1]
for which Danilevskii's alg implicitly uses the first column vector
[1]
[0]
which only produces the factor X-1 of the minpoly

Clément


--~--~---------~--~----~------------~-------~--~----~
To post to this group, send email to [email protected]
To unsubscribe from this group, send email to 
[email protected]
For more options, visit this group at 
http://groups.google.com/group/sage-support
URLs: http://www.sagemath.org
-~----------~----~----~----~------~----~------~--~---

Reply via email to