fmpq_poly_inv_series_newton
Synopsis
#include <flint/fmpq_poly.h>void fmpq_poly_inv_series_newton(fmpq_poly_t res, const fmpq_poly_t poly, slong n)sourceComputes the first n terms of the inverse power series of poly using Newton iteration, for n \ge 1. A zero constant term raises FLINT_DIVZERO.
If the input has integer coefficients and constant term \pm 1, the inverse is computed over \mathbb{Z} with _fmpz_poly_inv_series; otherwise a fraction-free basecase is lifted by Newton iteration (Inverse).
Cite this page
The FLINT team, “fmpq_poly_inv_series_newton (fmpq_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpq_poly/fmpq_poly_inv_series_newton.html (generated 2026-10-20).
@misc{flint-doc-fmpq-poly-fmpq-poly-inv-series-newton,
author = {{The FLINT team}},
title = {{fmpq\_poly\_inv\_series\_newton (fmpq\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpq_poly/fmpq_poly_inv_series_newton.html},
note = {Generated 2026-10-20}
}