arb_mat_exp_taylor_sum
Synopsis
#include <flint/arb_mat.h>Sets S to the truncated exponential series \sum_{k=0}^{N-1} A^k / k!, using rectangular splitting with O(\sqrt{N}) matrix multiplications. The factorials are generated by their recurrence so that the scalars are small integers, and the divisions are postponed by computing partial factorials of length O(\sqrt{N}) [Joh2014b].
References#
- [Joh2014b] F. Johansson, "Evaluating parametric holonomic sequences using rectangular splitting", ISSAC 2014, 256-263. https://doi.org/10.1145/2608628.2608629
Cite this page
The FLINT team, “arb_mat_exp_taylor_sum (arb_mat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_mat/arb_mat_exp_taylor_sum.html (generated 2026-10-20).
@misc{flint-doc-arb-mat-arb-mat-exp-taylor-sum,
author = {{The FLINT team}},
title = {{arb\_mat\_exp\_taylor\_sum (arb\_mat.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_mat/arb_mat_exp_taylor_sum.html},
note = {Generated 2026-10-20}
}