[sage-support] Re: Parallel computation in Sage

2018-07-16 Thread Simon King
PS: I don't know if `algorithm='padic'` would use a parallel computation. 
It would certainly make sense.

Am Montag, 16. Juli 2018 18:08:07 UTC+2 schrieb Simon King:
>
> Hi Chandra,
>
> Am Montag, 16. Juli 2018 07:33:03 UTC+2 schrieb chandra chowdhury:
>>
>> I want to calculate the determinant of a large matrix 
>> with large entries. So it is taking time. In my machine,
>> I have 32 CPUs. Is it possible in Sage to use all CPUs
>> parallelly to find the determinant? 
>>
>
> You said in another post that you're working over the integers. So, you 
> could try a multi-modular approach.
>
>

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[sage-support] Re: Parallel computation in Sage

2018-07-16 Thread Simon King
Hi Chandra,

Am Montag, 16. Juli 2018 07:33:03 UTC+2 schrieb chandra chowdhury:
>
> I want to calculate the determinant of a large matrix 
> with large entries. So it is taking time. In my machine,
> I have 32 CPUs. Is it possible in Sage to use all CPUs
> parallelly to find the determinant? 
>

You said in another post that you're working over the integers. So, you 
could try a multi-modular approach.

If M is your matrix over the integers, then the documentation of 
M.determinant tells you that you can use M.determinant(algorithm='padic', 
proof=True)
(or proof=False).

Example:

sage: M = random_matrix(ZZ,1000)
sage: %time d2 = M.determinant(algorithm='padic')
CPU times: user 25.5 s, sys: 484 ms, total: 25.9 s
Wall time: 26.1 s
sage: M._cache.clear()
sage: %time d3 = M.determinant()
CPU times: user 10.2 s, sys: 0 ns, total: 10.2 s
Wall time: 10.2 s
sage: M._cache.clear()
sage: %time d4 = M.determinant(algorithm='padic', proof=True)
CPU times: user 25.6 s, sys: 464 ms, total: 26.1 s
Wall time: 26.1 s
sage: d2 == d3 == d4
True

So, at least in this case, the multi modular algoirthm is slower than the 
default algorithm (which uses Flint). But perhaps it helps in your case.

Best regards,
Simon

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Re: [sage-support] Parallel computation in Sage

2018-07-16 Thread pc . chandra12
Values are integers. 

On Monday, July 16, 2018 at 5:30:44 PM UTC+5:30, jori.ma...@uta.fi wrote:
>
> On Mon, 16 Jul 2018, chandra chowdhury wrote: 
>
> > I want to calculate the determinant of a large matrix 
> > with large entries. So it is taking time. In my machine, 
> > I have 32 CPUs. Is it possible in Sage to use all CPUs 
> > parallelly to find the determinant? 
>
> Are values real number or complex numbers, finite field elements...? 
> Symbolics? 
>
> -- 
> Jori Mäntysalo

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Re: [sage-support] Parallel computation in Sage

2018-07-16 Thread Jori Mäntysalo

On Mon, 16 Jul 2018, chandra chowdhury wrote:


I want to calculate the determinant of a large matrix
with large entries. So it is taking time. In my machine,
I have 32 CPUs. Is it possible in Sage to use all CPUs
parallelly to find the determinant?


Are values real number or complex numbers, finite field elements...? 
Symbolics?


--
Jori Mäntysalo