On 21 February 2017 at 08:38, 'Martin R. Albrecht' via sage-support
<[email protected]> wrote:
> Hi,
>
> I don’t think this is implemented in Sage.

I think it is: searching for weak_popov_form finds results in
matrix/matrix2.pyx with a method M.weak_popov_form(), though
admittedly the docstring for that says

".. WARNING:: This function currently does **not** compute the weak
Popov form of a matrix, but rather a row reduced form (which is a
slightly weaker requirement). See :meth:`row_reduced_form`."

John

>
> Cheers,
> Martin
>
> Santanu Sarkar writes:
>>
>> Dear all,
>>   I am searching lattice reduction for polynomial matrices in   Sage.
>> Kindly help me.
>>
>> T. Mulders and A. Storjohann. On lattice reduction for polynomial
>> matrices.
>> Journal of Symbolic Computation, 35(4):377 – 401, 2003
>>
>>
>>
>> On 20 February 2017 at 21:19, Santanu Sarkar
>> <[email protected]>
>> wrote:
>>
>>> Dear all,
>>>    I have polynomial lattice over a finite field. So each    component of
>>> the
>>> vectors v_1, v_2, v_3 are polynomials over a finite field say F_11. Hence
>>> v_1=(f_1(x), f_2(x), f_3(x)),  v_2=(g_1(x), g_2(x), g_3(x)) and
>>> v_3=(h_1(x), h_2(x), h_3(x)). Here norm is the maximum degree of each
>>>  component. Does there exist LLL algorithm for this lattice in  Sage?
>>>
>>>
>>>
>
>
> --
>
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