English

An efficient method for the computation of the Feigenbaum constants to high precision

Dynamical Systems 2016-02-09 v1 Numerical Analysis

Abstract

We propose a new practical algorithm for computing the Feigenbaum constants {\alpha} and {\delta}, having significantly lower time and space complexity than previously used methods. The algorithm builds upon well-known linear algebra techniques, and is easily parallelizable. An implementation of it has been developed and used to determine both constants to 10,000 decimal places.

Keywords

Cite

@article{arxiv.1602.02357,
  title  = {An efficient method for the computation of the Feigenbaum constants to high precision},
  author = {Andrea Molteni},
  journal= {arXiv preprint arXiv:1602.02357},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T12:44:55.600Z