On Tuesday, April 4, 2017 at 3:02:46 PM UTC+1, vdelecroix wrote:
>
> Dear all, 
>
> I am currently solving huge sparse linear systems over rationals (up to 
> millions of equations and variables). The equation are actually 
> integral, but the solutions are rationals. 
>
> Sage is doing pretty good up to dimension 1000 with the generic 
> solve_right method. Where should I look for libraries implementing 
> somethig less naive? 
>

I would look at linear programming solvers.
How big are your integer coefficients?

As well, typically large systems are solved by iterative methods, the 
problem
is that it's usually floating point implementations.

Dima
 

>
> Best, 
> Vincent 
>

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