FLINT3.7.0-dev

_acb_poly_interpolate_newton, acb_poly_interpolate_newton

Synopsis#include <flint/acb_poly.h>
void _acb_poly_interpolate_newton(acb_ptr poly, acb_srcptr xs, acb_srcptr ys, slong n, slong prec)source
void acb_poly_interpolate_newton(acb_poly_t poly, acb_srcptr xs, acb_srcptr ys, slong n, slong prec)source

Set poly to the polynomial of length at most n with \mathit{poly}(x_i) = y_i, by computing divided differences (the Newton form) and converting to the monomial basis. If two of the points overlap as balls, the result is not finite.

Cite this page

The FLINT team, “_acb_poly_interpolate_newton, acb_poly_interpolate_newton (acb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_poly/_acb_poly_interpolate_newton.html (generated 2026-10-20).