Dear Diego,

I will suggest you read the following two. It will give you some good
understanding as to what is happening:

https://en.wikipedia.org/wiki/Butterfly_effect

http://www.amazon.com/The-End-Error-Computing-Computational/dp/1482239868


--Bibrak

On Wed, Oct 28, 2015 at 6:58 PM, Diego Avesani <diego.aves...@gmail.com>
wrote:

> dear Damin,
> I wrote the solver by myself. I have not understood your answer.
>
> Diego
>
>
> On 28 October 2015 at 23:09, Damien <dam...@khubla.com> wrote:
>
>> Diego,
>>
>> There aren't many linear solvers that are bit-consistent, where the
>> answer is the same no matter how many cores or processes you use.  Intel's
>> version of Pardiso is bit-consistent and I think MUMPS 5.0 might be, but
>> that's all.  You should assume your answer will not be exactly the same as
>> you change the number of cores or processes, although you should reach the
>> same overall error tolerance in approximately the same number of iterations.
>>
>> Damien
>>
>>
>> On 2015-10-28 3:51 PM, Diego Avesani wrote:
>>
>> dear Andreas, dear all,
>> The code is quite long. It is a conjugate gradient algorithm to solve a
>> complex system.
>>
>> I have noticed that when a do cycle is small, let's say
>> do i=1,3
>>
>> enddo
>>
>> the results are identical. If the cycle is big, let's say do i=1,20, the
>> results are different and the difference increase with the number of
>> iterations.
>>
>> What do you think?
>>
>>
>>
>> Diego
>>
>>
>> On 28 October 2015 at 22:32, Andreas Schäfer <gent...@gmx.de> wrote:
>>
>>> On 22:03 Wed 28 Oct     , Diego Avesani wrote:
>>> > When I use a single CPU a get a results, when I use 4 CPU I get another
>>> > one. I do not think that very is a bug.
>>>
>>> Sounds like a bug to me, most likely in your code.
>>>
>>> > Do you think that these small differences are normal?
>>>
>>> It depends on what small means. Floating point operations in a
>>> computer are generally not commutative, so parallelization may in deed
>>> lead to different results.
>>>
>>> > Is there any way to get the same results? is some align problem?
>>>
>>> Impossible to say without knowing your code.
>>>
>>> Cheers
>>> -Andreas
>>>
>>>
>>> --
>>> ==========================================================
>>> Andreas Schäfer
>>> HPC and Grid Computing
>>> Department of Computer Science 3
>>> Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
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>>
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