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Date: -- (:)
From: Christophe Raffalli <christophe.raffalli@u...>
Subject: Re: [Caml-list] Integral solutions of rational linear equations
Christophe Raffalli a écrit :
> Thomas Gazagnaire a écrit :
> 
>>Hello,
>>
>>in my one of my Ocaml programs, I need to find all integers solutions of
>>a rational equation systems. This algo uses Gauss reduction and Hermite
>>normal form, and need to know if a rational is an integer or not (ie. I
>>don't want to use numerical approximation : (1/3) * 3 is an integer but
>>0,333333*3 we don't know). I didn't find any integer algebra package for
>>ocaml, so I tried to implement Gauss elimination (easy) and Hermite
>>normal form (more difficult...). But I didn't implement optimized
>>version of these algorithms...
>>
>>So my question is : do you know if exists a native ocaml module or an
>>interface with a C library which is able to do integer/rational matrix
>>manipulation (essentialy the Hermite normal form) in an efficient way ?
>>
> 
> 
And by the way, my library on formal computation would give you an
algorithm using conjugate gradient ... look at:

http://www.lama.univ-savoie.fr/~raffalli/formel.html