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

@article{Molteni2016AnEM, title={An efficient method for the computation of the Feigenbaum constants to high precision}, author={A. Molteni}, journal={arXiv: Dynamical Systems}, year={2016} }

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.

#### Tables from this paper

#### One Citation

#### References

SHOWING 1-10 OF 23 REFERENCES

MPFR: A multiple-precision binary floating-point library with correct rounding

- Computer Science
- TOMS
- 2007

The principle of minimized iterations in the solution of the matrix eigenvalue problem

- Mathematics
- 1951

An inverse column-updating method for solving large–scale nonlinear systems of equations

- Mathematics
- 1992

Solving Systems of Nonlinear Equations by Tensor Methods.

- Mathematics, Physics
- 1986