Vincent Delecroix on Tue, 07 Apr 2020 18:16:17 +0200


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computing rank of big dense matrices over number fields


Dear pari team,

I have dense matrices defined over number fields. The target size
(rows and columns) and number field degree are around 30. In other
words, as a matrix over the rationals it looks like a 1000 x 1000
dense matrix. I would like to compute its rank. Very quickly
matrank seems stuck whereas it reasonably works for 1000 x 1000
rational matrices. Is there any alternative approach that
could be used?

Best
Vincent