FLINT3.7.0-dev

_arb_poly_interpolate_newton, arb_poly_interpolate_newton

Synopsis#include <flint/arb_poly.h>
void _arb_poly_interpolate_newton(arb_ptr poly, arb_srcptr xs, arb_srcptr ys, slong n, slong prec)source
void arb_poly_interpolate_newton(arb_poly_t poly, arb_srcptr xs, arb_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, “_arb_poly_interpolate_newton, arb_poly_interpolate_newton (arb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_poly/_arb_poly_interpolate_newton.html (generated 2026-10-20).