fmpq_mat_minpoly, _fmpq_mat_minpoly
Synopsis
#include <flint/fmpq_mat.h>void fmpq_mat_minpoly(fmpq_poly_t pol, const fmpq_mat_t mat)sourceslong _fmpq_mat_minpoly(fmpz * coeffs, fmpz_t den, const fmpq_mat_t mat)sourceSets pol to the minimal polynomial of the square matrix mat; the underscore version writes the coefficients of the numerator to coeffs (space for n + 1 of them) and the denominator to den, and returns the length. The minimal polynomial is computed like the characteristic polynomial, from that of the integer matrix qA with _fmpz_mat_minpoly. Throws if mat is not square.
Cite this page
The FLINT team, “fmpq_mat_minpoly, _fmpq_mat_minpoly (fmpq_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpq_mat/fmpq_mat_minpoly.html (generated 2026-10-20).
@misc{flint-doc-fmpq-mat-fmpq-mat-minpoly,
author = {{The FLINT team}},
title = {{fmpq\_mat\_minpoly, \_fmpq\_mat\_minpoly (fmpq\_mat.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpq_mat/fmpq_mat_minpoly.html},
note = {Generated 2026-10-20}
}