FLINT3.7.0-dev

_arb_poly_rsqrt_series, arb_poly_rsqrt_series

Synopsis#include <flint/arb_poly.h>
void _arb_poly_rsqrt_series(arb_ptr g, arb_srcptr h, slong hlen, slong n, slong prec)source
void arb_poly_rsqrt_series(arb_poly_t g, const arb_poly_t h, slong n, slong prec)source

Set g to the power series h^{-1/2} truncated to length n, by the division-free Newton iteration g \leftarrow g + g(1 - hg^2)/2. Wrappers of _gr_poly_rsqrt_series_newton. The underscore version does not allow aliasing.

Cite this page

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