JUCS - Journal of Universal Computer Science 26(10): 1312-1330, doi: 10.3897/jucs.2020.068
Interval Methods for Fixed and Periodic Points: Development and Visualization
expand article infoJosé Eduardo de Almeida Ayres, Luiz Henrique Henrique de Figueiredo
‡ IMPA, Rio de Janeiro, Brazil
Open Access
We describe the development of rigorous numerical methods based on interval analysis for finding all fixed points of a map and all attracting periodic points of a complex polynomial. We also discuss their performance with instructive visualizations.
fixed points, interval analysis, computer-assisted proofs