On Tuesday, April 4, 2017 at 4:02:46 PM UTC+2, 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? 
>
> Over prime finite fields, you could look at what CADO-NFS ships.

Maybe Linbox does things over the rationals.

You could also try to work over a finite field and lift the result :)

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