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Bill Allombert on Mon, 17 Apr 2023 20:56:24 +0200
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Re: Find an invertible integer matrix that satisfies given conditions.
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: Find an invertible integer matrix that satisfies given conditions.
- From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Date: Mon, 17 Apr 2023 20:55:09 +0200
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On Mon, Apr 17, 2023 at 08:44:00PM +0200, Aurel Page wrote:
> On 17/04/2023 13:43, Hongyi Zhao wrote:
> > Why this problem can't be in general nicely solved by GP?
> It could be if someone implemented an algorithm for it, like many other
> interesting problems. You are welcome to contribute an implementation or to
> suggest someone willing to write one. I we have a nice reference for an
> algorithm and sufficiently many requests compared to the time needed to
> implement the algorithm, we consider working on it.
I would like to add: the algorithm is not polynomial time, which means that
even if we implement it, it might be too slow for your application.
On the other hand, if you have particular examples you are interested in, the
procedure we outlined might be sufficient.
Cheers,
Bill.