English

When can forward stable algorithms be composed stably?

Numerical Analysis 2024-07-02 v2 Numerical Analysis

Abstract

We state some widely satisfied hypotheses, depending only on two functions gg and hh, under which the composition of a stable algorithm for gg and a stable algorithm for hh is a stable algorithm for the composition ghg \circ h.

Keywords

Cite

@article{arxiv.2109.10610,
  title  = {When can forward stable algorithms be composed stably?},
  author = {Carlos Beltrán and Vanni Noferini and Nick Vannieuwenhoven},
  journal= {arXiv preprint arXiv:2109.10610},
  year   = {2024}
}
R2 v1 2026-06-24T06:12:38.602Z