fq_nmod_mat_charpoly
Synopsis
#include <flint/fq_nmod_poly.h>void fq_nmod_mat_charpoly(fq_nmod_poly_t p, const fq_nmod_mat_t M, const fq_nmod_ctx_t ctx)Sets p to the characteristic polynomial \det(xI - M) of the square matrix M; throws FLINT_ERROR if M is not square. This is a wrapper of gr_mat_charpoly, which uses the Berkowitz algorithm for n \le 12 and Danilevsky's algorithm otherwise (for fq_zech, from n = 5); see Characteristic and minimal polynomials.
Generated from the same template as fq_mat_charpoly, whose documentation has the details.
Cite this page
The FLINT team, “fq_nmod_mat_charpoly (fq_nmod_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fq_nmod_poly/fq_nmod_mat_charpoly.html (generated 2026-10-20).
@misc{flint-doc-fq-nmod-poly-fq-nmod-mat-charpoly,
author = {{The FLINT team}},
title = {{fq\_nmod\_mat\_charpoly (fq\_nmod\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fq_nmod_poly/fq_nmod_mat_charpoly.html},
note = {Generated 2026-10-20}
}