On 02/22/2015 06:47 PM, Waldek Hebisch wrote:
Abhinav Baid wrote:
I've coded up the routine here [1].
Could you please review it?
Thanks,
Abhinav.
[1] https://github.com/fandango-/spad/blob/master/task3.spad
Hmm, it look that you are still converting Taylor series to
polynomials and computing coefficients of polynomials. Did
you push correct version? For applying r to elements of
basis you will need a little routine which expands each
coefficient of r into series and computes combination
of coefficients of r times derivaties of basis element.
Oh, sorry. I convert the coefficients of r to Taylor Series now. [1]
Another remark: 'zerosOf' may be quite expensive, because
it produces _all_ zeros. Big advantage of van Hoej methods
is that usually it is enough to work with single zero.
So use 'zeroOf' instead of computing all zeros and discarding
the other ones.
Yes, I was aware of the zeroOf function. But for the example mentioned
in the thesis, the zeroOf function wasn't giving a radical solution even
though 2 existed (repeated twice), but zerosOf was. So, I decided to go
with zerosOf.
Actually, before computing zero you should
factor the characteristic polynomial and compute zero of
a single factor. For various reasons factorizer should be
passed as an extra parameter to 'find_right_factor'.
Okay, I now take the factorizer as an extra parameter. Surprisingly,
now, zeroOf returns a radical result, so I use that as well.
Thanks,
Abhinav.
[1] https://github.com/fandango-/spad/blob/master/task3.spad
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