>  Mind me jumping in the discussion for this, but I have some comments
Not at all.
S.Y. Lee what do you suggest I work on instead of these decompositions. I 
have added some fraction-free algorithms which were listed on #20987 
<https://github.com/sympy/sympy/issues/20987>. I could not find any 
paper/website for 
Paterson-Stockmayer inverse so I went with decompositions instead. 

I am open to any suggestions 
On Saturday, 20 March 2021 at 5:53:46 pm UTC+5:30 syle...@gmail.com wrote:

> Mind me jumping in the discussion for this, but I have some comments
>
> The important aspect of DomainMatrix is that the computations should be 
> 'rational' (which can be generalized up to 'multivariate rational function 
> field')
> So I don't think that you can implement cholesky or hessenberg or 
> householder easily.
> I have also though about adjoining the new square roots as algebraic 
> extensions,
> But I'm afraid that you can't anticipate the speed just like numeric cases 
> even if this approach is taken.
> On Sunday, March 14, 2021 at 10:16:15 PM UTC+9 kartik...@gmail.com wrote:
>
>> Oscar Benjamin, Have you had a chance to review my GSoC application 
>> draft? 
>> I've posted it here 
>> https://github.com/sympy/sympy/wiki/GSoC-2021-Current-Applications
>>
>> On Friday, 12 March 2021 at 11:44:49 am UTC+5:30 Kartik Sethi wrote:
>>
>>> Oscar Benjamin, could you review this first draft of my proposal. Please 
>>> let me know if you feel that I should focus 
>>> on some other topics/ algorithms in DomainMatrix instead of the ones 
>>> chosen by me. 
>>>
>>> GSoC 2021 Proposal 
>>> <https://github.com/ks147/GSoC/wiki/Gsoc_2021_application>
>>> On Tuesday, 9 March 2021 at 6:49:29 am UTC+5:30 Oscar wrote:
>>>
>>>> On Mon, 8 Mar 2021 at 16:00, Kartik Sethi <kartik...@gmail.com> wrote: 
>>>> > 
>>>> > Oscar Benjamin, what if someone else also puts up this same proposal 
>>>> to improve the DomainMatrix module for Gsoc. How does sympy decide which 
>>>> person will work on it. 
>>>>
>>>> There is plenty more work to do on DomainMatrix than one person could 
>>>> do in a single GSOC project so there could be two people doing related 
>>>> projects on this although we do have limits on how many projects a 
>>>> single mentor could supervise. I am not the only person who could 
>>>> mentor a project on DomainMatrix though and it's also possible that I 
>>>> would mentor a project on something else instead such as ODEs. 
>>>>
>>>> We will look at all applications and decide which to accept based on a 
>>>> number of factors. The two major factors are the priority of the 
>>>> project and the quality of the application. I think that DomainMatrix 
>>>> is high priority but if there are stronger proposals for other 
>>>> projects then it is possible that no proposal for DomainMatrix would 
>>>> be accepted. 
>>>>
>>>> I suggest not to overthink this. The main thing is just to have a good 
>>>> application that is well motivated and shows clear understanding of 
>>>> the work to be done. 
>>>>
>>>> -- 
>>>> Oscar 
>>>>
>>>

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