Dear all,
   Thanks a lot for your kind help.

On 22 February 2017 at 13:49, Johan S. R. Nielsen <[email protected]>
wrote:

> Indeed, Sage has row_reduced_form for a polynomial matrix. The row reduced
> form is sufficient to find a vector in the row space which has minimal
> degree.
>
> The method used to be called weak_popov_form, but that form is slightly
> stronger and the algorithm does not compute it. Hence the warning.
>
> The current implementation is very slow. The next beta release of Sage
> should feature #21024 which introduces an implementation of the
> Mulders-Storjohann algorithm, which computes the weak Popov form, and does
> so much faster than the current row_reduced_form (hence, row_reduced_form
> will, in the future, actually call weak_popov_form). If you are impatient,
> you can checkout that ticket and recompile Sage to get the new
> implementation right away.
>
> Best,
> Johan
>
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