Dear Pawani Agarwal,

I have quickly reviewed your proposal --- please note that I might not have 
time to do it again before deadline. It is well organized and complete, yet 
on the core of the project, a large part of the detailed project (basically 
all of Task 1) concerns things that are unrelated to exact fields. The 
suggested idea of project was about exact computations (e.g. over finite 
fields, over the rationals, ...). It is absolutely fine if you propose 
another project, but I think you should then stick to it and define it 
clearly. For the moment, your project mixes both aspects and it makes it 
both difficult to understand and too ambitious for 3 months. Your Task 2 is 
vague on what problems/algorithms it will tackle: what are "block Krylov 
sequences for a structured subspace", and what "structured matrix-vector 
products" do you have in mind? Your Task 3 seems to target a method indeed 
relevant for the exact case (unlike Task 1). 

Best regards,

    Vincent Neiger
Le mardi 1 avril 2025 à 23:50:15 UTC+2, Pawani Agarwal a écrit :

> Hello Vincent,
>
> I have sent you my proposal directly though I am not sure if you have 
> received it. Please do let me know if it will be possible for you to 
> provide a feedback and also if I need to send my proposal here.
>
> On Friday, March 28, 2025 at 6:11:24 PM UTC+5:30 Vincent Neiger wrote:
>
>> Dear Pawani Agarwal, 
>> Thank you for your interest in this project. Thank you also for your 
>> first contributions to Sagemath. Recall the short description gives ideas 
>> for the project and you, the potential contributor, are expected to turn 
>> the ideas into a detailed proposal.
>> Best regards,
>> Vincent Neiger
>>
>> Le lundi 17 mars 2025 à 22:33:09 UTC+1, Pawani Agarwal a écrit :
>>
>>> Hello,
>>>
>>> I am Pawani, a 4th year student at BITS Goa pursuing a dual degree in 
>>> MSc Mathematics and BE Computer Science.
>>> I have been contributing to SageMath for sometime now and I have also 
>>> created PRs (#39528 and #39472), though they haven't been reviewed. This 
>>> has given me a bit of familiarity with the codebase and I am also exploring 
>>> deeper into it.
>>>
>>> For this project I have already started reading up on the fundamental 
>>> concepts, including minimal polynomials, Krylov subspaces, and their 
>>> applications in kernel and co-kernel computations over K[x] modules.  
>>>
>>> I am very excited about this project and would love to contribute 
>>> actively. Please let me know if there are any other specific directions or 
>>> initial tasks I should focus on. Looking forward to your guidance!  
>>>
>>> Best regards,  
>>> Pawani Agarwal
>>>
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