arb_calc_newton_conv_factor
Synopsis
#include <flint/arb_calc.h>void arb_calc_newton_conv_factor(arf_t conv_factor, arb_calc_func_t func, void * param, const arb_t conv_region, slong prec)sourceSets conv_factor to an upper bound for C = \sup_{t, u \in I} \tfrac12 |f''(t)| / |f'(u)| on the ball I = conv_region, obtained by evaluating the Taylor coefficients f'(I) and f''(I)/2 with one call to func and bounding the absolute value of their quotient. If f is ill-conditioned, I may need to be extremely narrow for the bound to be finite.
Cite this page
The FLINT team, “arb_calc_newton_conv_factor (arb_calc.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_calc/arb_calc_newton_conv_factor.html (generated 2026-10-20).
@misc{flint-doc-arb-calc-arb-calc-newton-conv-factor,
author = {{The FLINT team}},
title = {{arb\_calc\_newton\_conv\_factor (arb\_calc.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_calc/arb_calc_newton_conv_factor.html},
note = {Generated 2026-10-20}
}