On 03/07/2015 06:00 AM, Waldek Hebisch wrote:
Abhinav Baid wrote:
On 3/4/15, Waldek Hebisch <[email protected]> wrote:
Good. How far are you with reading van Hoej thesis?
I've done the first 2 chapters and skimmed through chapter 3 which
seems to contain the main algorithm (along with chapter 5). It seems
to be that chapter 4 is not required for the algorithm implementation.
Can it be skipped or am I missing something?
Directly Chapter 4 is not needed for factorization. Its main
use is for finding elementary solutions and computing differential
Galois groups. Ideas from Chapter 4 may be useful for hardest
cases of factorization. Namely, main van Hoej method will
factor operator which have first order factor. It may find
higher order factor, but there is no warranty. So for higher
order factors van Hoej method should be combined with some
other method. However, for GSOC project van Hoej method
already is enough work. So yes, Chapter 4 can be skipped.
Actually, main part is in Chapters 2 and 3. This already
gives quite powerful method. Method from Chapter 5
is interesting because help factor operators which are
hard when using method from Chaper 3.
Hi Waldek,
Sorry for being inactive for so many days. My laptop screen broke and I
had a hard time finding a replacement. But now, it's all okay. As the
application period is quite near, I was thinking about starting to work
on the proposal. I'll also include the details of the sub-algorithms
necessary there itself. Is that fine?
Thanks,
Abhinav.
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