fmpz_mod_mat_similarity
Synopsis
#include <flint/fmpz_mod_mat.h>void fmpz_mod_mat_similarity(fmpz_mod_mat_t A, slong r, fmpz_t d, const fmpz_mod_ctx_t ctx)sourceApplies a similarity transform to the square matrix A in place: with P the identity matrix whose row r (0-indexed) has its zero entries replaced by d, sets A = P^{-1} A P. d must be canonical. A wrapper of gr_mat_apply_row_similarity; it uses no divisions and works for every modulus. Similarity transforms preserve the determinant and the characteristic and minimal polynomials.
Guides#
Cite this page
The FLINT team, “fmpz_mod_mat_similarity (fmpz_mod_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_mod_mat/fmpz_mod_mat_similarity.html (generated 2026-10-20).
@misc{flint-doc-fmpz-mod-mat-fmpz-mod-mat-similarity,
author = {{The FLINT team}},
title = {{fmpz\_mod\_mat\_similarity (fmpz\_mod\_mat.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_mod_mat/fmpz_mod_mat_similarity.html},
note = {Generated 2026-10-20}
}