Michael Jung wrote:
> Ah, interesting. Do you have some literature/references for me?
Among the standard references, Chapter 5 of *Modern Computer Algebra* by
von zur Gathen & Gerhard discusses the basic evaluation-interpolation
algorithm for computing the determinant of polynomial matrices in s
On Monday, June 1, 2020 at 1:55:15 AM UTC-7, Michael Jung wrote:
>
> Ah, interesting. Do you have some literature/references for me?
>
To me this is just folklore, but it may well be someone has written
something about it. Multimodular is mentioned at least once in the sage
documentation:
https
Ah, interesting. Do you have some literature/references for me?
Am Montag, 1. Juni 2020 01:06:44 UTC+2 schrieb Nils Bruin:
>
> On Sunday, May 31, 2020 at 2:52:21 PM UTC-7, Michael Jung wrote:
>>
>> If I understand this correctly, I'd say this is already the approach of
>> how differential forms a
On Sunday, May 31, 2020 at 2:52:21 PM UTC-7, Michael Jung wrote:
>
> If I understand this correctly, I'd say this is already the approach of
> how differential forms are implemented in the SageManifolds package. A
> differential form is seen as an element of the module over the scalar
> fields w
I should just mention here, that a CPU parallelization on the level of
components already takes place. However, watching the CPU usage one can see
that only single cores are demanded. I am not certain about the reason.
Am Sonntag, 31. Mai 2020 23:52:21 UTC+2 schrieb Michael Jung:
>
> If I unders
If I understand this correctly, I'd say this is already the approach of how
differential forms are implemented in the SageManifolds package. A
differential form is seen as an element of the module over the scalar
fields which is, roughly speaking, generated by the germs on parallelizable
pieces
On Sunday, May 31, 2020 at 12:41:52 PM UTC-7, Michael Jung wrote:
>
> Thanks for your reply. Actually, I consider a commutative sub-algebra
> here. What do you mean by "taking fibers of [my] sheaf"?
>
Specialize to the exterior product algebra of the cotangent space at a
point. So, at that point
Thanks for your reply. Actually, I consider a commutative sub-algebra here.
What do you mean by "taking fibers of [my] sheaf"?
I thought that it would be a nice idea to split all operations necessary
for the determinant between different CPU cores. What about that?
Am Samstag, 30. Mai 2020 22:3
On Saturday, May 30, 2020 at 7:37:43 AM UTC-7, Michael Jung wrote:
>
> Mh. Okay. Do you have an idea how to improve the computation, e.g. by
> using multiple cores?
>
> A standard trick is to take a "multimodular" approach: for integer
matrices this boils down to computing the answer modulo a who
Mh. Okay. Do you have an idea how to improve the computation, e.g. by using
multiple cores?
Am Samstag, 30. Mai 2020 11:37:02 UTC+2 schrieb Dima Pasechnik:
>
> On Sat, May 30, 2020 at 8:05 AM Michael Jung > wrote:
> >
> > Thanks for your respond. The entries are elements of the mixed form
> a
On Sat, May 30, 2020 at 8:05 AM Michael Jung wrote:
>
> Thanks for your respond. The entries are elements of the mixed form algebra
> (https://doc.sagemath.org/html/en/reference/manifolds/sage/manifolds/differentiable/mixed_form_algebra.html).
> Whose multiplications are already relatively slow.
Thanks for your respond. The entries are elements of the mixed form algebra
(https://doc.sagemath.org/html/en/reference/manifolds/sage/manifolds/differentiable/mixed_form_algebra.html).
Whose multiplications are already relatively slow.
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On Fri, May 29, 2020 at 10:55 PM Michael Jung wrote:
>
> Sorry, I meant: "especially for the division-free algorithm of the
> determinant."
>
> Am Freitag, 29. Mai 2020 23:46:55 UTC+2 schrieb Michael Jung:
>>
>> Dear Sage Developers,
>> is there a mutliprocessing support available for computation
Sorry, I meant: "especially for the division-free algorithm of the
determinant."
Am Freitag, 29. Mai 2020 23:46:55 UTC+2 schrieb Michael Jung:
>
> Dear Sage Developers,
> is there a mutliprocessing support available for computations with
> matrices of large dimensions? Especially with respect to
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