Hi Waldek,

Thanks for your remarks.

On 3/18/15, Waldek Hebisch <[email protected]> wrote:
> Abhinav Baid wrote:
>>
>> I've submitted a proposal to Melange though it doesn't include a
>> timeline yet. Could you please review it and suggest any modifications
>> necessary?
>
> Few remarks:
>
> - you write about reconstructing factors via Pade aproximation.
> This is in fact called Hermite-Pade problem (Pade would be in case
> of first order factor).  FriCAS contains routine to solve
> Hermite-Pade problem.  In fact 'guessHolo' routine (maybe after
> a small modification) should do.
>
Thanks for mentioning this. I added it to the proposal.

> - concerning 'nm_mult' routine I do not undertand what is the
> purpose.  If you need computations on operatiors written in
> terms of xD, then the domain I provided and convertion routines
> you wrote should do.  In particular multiplication of operators
> written in term of 'xD' should be just '*'.
>
Oh, yes. I've removed that function from the proposal now.

> - what 'ramification_of' should do?  Is it the substitution
> from end of page 19 in van Hoej thesis?
>
Yes, it is. I've tried to make it more clear in the proposal.

> - could you say more precisely what 'coefs_operator' should do?
>
I've modified the proposal to reflect its purpose. Is it fine now?

> - in chapter 2 van Hoej writes about exponential parts, then
> in chapter 3 about very similar notion of generalized exponents.
> Later developements showed that generalized exponents are more
> important.  I think you should provide routine to compute
> generalized exponents (it should probably just take part of
> result returned by 'factor_riccati').
>
Okay. I was confused about whether or not I should've added a separate
function for generalized exponents. But, as it seems to be important,
I've included it now.

Thanks,
Abhinav.

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